Neural network circuit

Abstract: A neural network circuit, in which a number n of weight coefficients (W1-wn) corresponding to a number n of inputs are provided, subtraction circuits determine the difference between inputs and the weight coefficients in each input terminal, the result thereof is inputted into absolute value circuits, all calculation results of the absolute value circuits corresponding to the inputs and the weight coefficients are inputted into an addition circuit and accumulated, and this accumulation result determines the output value. The threshold value circuit, which determines the final output value, has characteristics of a step function pattern, a polygonal line pattern, or a sigmoid function pattern, depending on the object. In the case in which a neural network circuit is realized by means of digital circuits, the absolute value circuits can comprise simply EX-OR logic (exclusive OR) gates. Furthermore, in the case in which the input terminals have two input paths and two weight coefficients corresponding to each input path, the neuron circuits form a recognition area having a flexible shape which is controlled by the weight coefficients. Neuron circuits are widely used in pattern recognition; neuron circuits react to a pattern inputted into the input layer and recognition is thereby conducted.

Description: Background of the Invention (Field of the Invention) The present invention relates to a neural network circuit comprising network circuits made by the connection of the input and output terminals of a plurality of neuron circuits, which serve as unit circuits. (Prior Art) Neural network circuits use the nervous systems of animals as a model and are capable of pattern recognition processing, such as character recognition or voice recognition, optimization, robot control and the like, which were difficult for Naumann-type computers. In conventional Naumann-type computers, processing was conducted successively in accordance with a program, so that the calculation time was large. In contrast, in neural network circuits, the neuron circuits execute calculations in a parallel fashion, so that the speed of processing becomes extremely high. Furthermore, the functions of neural network circuits are realized by learning and the changing of the connection states between neurons. For this reason, they have the special characteristics of being able to realize functions in cases of problems which have processing procedures which are difficult to place in rule form, if learning materials are available. When such a circuit is operated while conducting normal learning, even if the functions which are desirable change over time based on changes in the environment, it is possible to construct a flexible system which will be capable of following such changes and the like. In addition, as the network is constructed by means of the connection of a plurality of identical neuron circuits, if breakdowns should occur in circuits, it is easy to conduct operations by simply replacing such circuits with other normally functioning circuits, so that it is possible to realize a high resistance to flaws in cases in which LSIs are used. The present invention is applicable to cases in which neural network circuits are constructed using LSIs, and thus relates to a method for the construction of neuron circuits which have small scale circuitry and consume little electricity. The neural network circuit utilizes neuron circuits, which correspond to nerve cells, as the units thereof; it is constructed by means of the connection of a number of these neuron circuits. Fig. 27 shows one neuron circuit. One neuron circuit receives signals from a plurality of input terminals and has weight coefficients corresponding to the various input signals; it changes the combined strength in response to the weight coefficients and calculates the difference from the output, adds all the results and determines the input. The structure of the neural network circuits is determined by means of the connections of the neuron circuits; however, the simplest structure is a two layer neural network structure, such as that shown in Fig. 28. The input terminal layer is called the input layer or the first layer, while the neuron circuit layer is called the second layer or the output layer. The signals from the various input terminals are supplied in parallel to all the neuron circuits and the neuron circuits are able to process the input signals in parallel. Processing is realized in which specified neuron circuits react and recognize input signals when said input signals are supplied. However, in a two layer neural network structure, the processing ability is not large, so that in general, a three layer neural network structure, such as that shown in Fig. 29, is used. In the case of a three layer structure, the second layer, or the neuron circuit layer, is termed the intermediate layer or the hidden layer, while the third layer neuron circuit layer is called the output layer. This third layer utilizes the output of the neuron circuits of the second layer as input, and there are cases in which the structure thereof is identical to that of the second layer and cases in which the structure is different. In the case of an identical structure, the output signals of the intermediate layer are inputted into all the neuron circuits of the output layer; however, a simple structure is possible in which the neuron circuits of the output layer only conduct OR logic, as shown in Fig. 29. In such a case, the outputs of the intermediate layer are each connected to only one neuron circuit of the output layer, so that the scale of the circuitry can be greatly reduced, while maintaining sufficient ability in cases in which these circuits are used for pattern recognition or the like. However, in order to deal with complex processing, it has been common to use a complex network structure in which the output of neuron circuits is fed back, a multi-layered structure of three or more layers is used, or complex network circuits are combined. Document NEURAL NETWORKS, vol. 2, 1989, OXFORD, GB ; pages 395-403 ; HARTSTEIN 'A neural network capable of forming associations by example' proposes a neural network structure that is compatible with silicon technology. This network has the feature that the learning parameter is embodied in the thresholdes of MOSFET devices and is local in character. The network is shown to be capable of forming associations by example as well as exhibiting the desirable features of the Hopfield type networks. Document PROCEEDINGS OF THE 1988 CUSTOM INTEGRATED CIRCUITS CONFERENCE 16 May 1988, ROCHESTER, USA; pages 1031-1035 ; MANN 'A self-organizing neural net chip' describes a circuit which implements a self-organizing algorithm proposed by kohonen. Matching is accomplished by computing the squared Euclidean distance of each node between the input and the current weight vector. The design minimizes circuit area by using unary encoding in the weight representation to permit the use of shift operations in the adaptation process and by sharing the circuits used in weight adaptation and the activation computations. A neuron circuit used in conventional neural network circuits is shown in Fig. 30. It has a number n of weight coefficients (w1-wn) corresponding to the number of inputs n; the difference between an inputted signal and a weight coefficient is found by a subtraction circuit, this result is squared in a squaring circuit, the calculation results of the various inputs and weight coefficients are all accumulated in an adding circuit and the output values are determined by the size of the square root of this result. The threshold value circuit which finally determines the output value has transmission characteristics such as those shown in Figs. 31(a)-(c). (a) shows a step function pattern, (b) shows a polygonal line pattern, and (c) shows a sigmoid function pattern. The sigmoid function pattern of Fig. 31(c) has high flexibility; however, as the calculations thereof are complex, it is possible to use the simplified patterns of (a) and (b). A network circuit having the three layered structure of Fig. 29 and which is constructed using the neuron circuits of Fig. 30 has been used for pattern recognition and the like. If the number of neuron circuits in the intermediate layer of the structure of Fig. 29 is m and the number of input terminals of the input layer is n, only a number of weight coefficients n x n exists, and only this number of subtracting circuits and squaring circuits are necessary. As the number of objects of pattern recognition increases, the number of neurons m of the intermediate layer increases, so that it can be understood that an extremely large amount of subtracting circuits and squaring circuits will become necessary. In particular, in the case in which the neural network circuit is realized by means of digital circuits, the circuit scale of the squaring circuit which uses multiplication circuits becomes extremely large, so that the apparatus itself becomes extremely large, and there was a problem in that a plurality of neuron circuits could not be placed on an LSI. Furthermore, the circuit was large with respect to the amount of electricity consumed as well as with respect to the circuit scale of the squaring circuit, so that there was a problem in that an extremely large amount of electricity was consumed by the unit as a whole when an extremely large number of circuits were simultaneously operated. Summary of the Invention It is accordingly an object of the present invention to realize a neural network circuit which can be applied to LSIs, reduces the scale of the circuitry and the amount of electricity consumed while preserving the same functions as in the above conventional neural network circuits, which comprised neuron circuits which used conventional squaring circuits. In order to attain the above objectives, the present invention describes a neural network circuit as set out in claim 1. The neural network circuit described by the present invention has the same functions as those of the squaring circuits which were used in the conventional type neuron circuit; by means of the replacement of the squaring circuits with absolute value circuits, which are small in circuit scale, the squaring circuits become unnecessary, so that it is possible to reduce the scale of the circuitry and the power consumption. Furthermore in the conventional neuron circuits, the identification area shape was fixed, so that in order to form an identification area with a freely selected form, an extremely large number of neuron circuits were necessary. In the present invention, it is possible to make the identification area shape of one neuron circuit variable, and to form an identification area with a freely selected shape with a small number of neuron circuits by means of neuron circuits which have twice the number of weight coefficients in comparison with conventional neuron circuits. In the neuron circuit of the present invention, it is possible to reduce the scope of the circuitry greatly in comparison with the conventional neuron circuit, and furthermore, as the power consumption increases proportionately to circuit scale, it is possible to reduce power consumption by means of the reduction in circuit scale. Furthermore, it is possible to greatly reduce calculation time. In addition, in the neural network circuits of the present invention, the necessary number of neuron circuits can be greatly reduced and the accuracy of pattern recognition can be greatly improved. Brief Description of the Drawings Figure 1 shows a first preferred embodiment of the neuron circuit of the present invention. Figure 2 shows a second preferred embodiment of the neuron circuit of the present invention. Figure 3 shows a third preferred embodiment of the neuron circuit of the present invention. Figure 4(a) and (b) show the transmission characteristics of the input part of the neuron circuit; (a) shows the characteristics of the subtraction circuit and the absolute value circuit, while (b) shows the characteristics of the subtraction circuit and the rectification circuit. Figure 5 shows the identification area of a conventional neuron circuit (in the case of two inputs). Figure 6 shows the identification area of the neuron circuit of the first preferred embodiment in accordance with the present invention (in the case of two inputs). Figures 7(a) and (b) show shapes of identification areas of the neuron circuit of the present invention (in the case of two inputs); (a) shows the prolate spheroid form of the second preferred embodiment, while (b) shows the prolate multi-surface body form of the third preferred embodiment. Figures 8 (a) and (b) show a first modification of the identification area by means of a plurality of neuron circuits (in the case of two inputs); (a) shows the conventional shape, while (b) shows the second preferred embodiment of the present invention. Figures 9 (a) and (b) show a second modification of an identification area by means of a plurality of neuron circuits; (a) shows a conventional shape, while (b) shows the second preferred embodiment of the present invention. Figure 10 shows a structural example of a calculation circuit of a conventional neuron circuit. Figure 11 shows a structural example of a calculation circuit of a neuron circuit in accordance with the first preferred embodiment of the present invention. Figure 12 shows a structural example of a calculation circuit of a prolate multi-surface body identification type neuron circuit in accordance with the third preferred embodiment of the present invention. Figure 13 is a block diagram of a fourth preferred embodiment of the neuron circuit of the present invention. Figure 14 is a block diagram of a fifth preferred embodiment of the neuron circuit of the present invention. Figure 15 shows the identification areas of the neuron circuits of the fourth and fifth preferred embodiments of the present invention (in the case of two inputs). Figure 16 is a block diagram of a first preferred embodiment of the accumulation calculation circuit of the neuron circuit of the present invention. Figure 17 is a block diagram of a second preferred embodiment of the accumulation calculation circuit of the neuron circuit of the present invention. Figure 18 is a block diagram of a third preferred embodiment of the accumulation calculation circuit of the neuron circuit of the present invention. Figure 19 is a block diagram of a fourth preferred embodiment of the accumulation calculation circuit of the neuron circuit of the present invention. Figure 20 is an explanatory diagram of the operation of the accumulation calculation circuit of the neuron circuit of the present invention. Figure 21 is a block diagram of a fifth preferred embodiment of the accumulation calculation circuit of the neuron circuit of the present invention. Figure 22 is a block diagram of the addition base circuit of the accumulation calculation circuit of the neuron circuit of the present invention. Figure 23 is a block diagram of a sixth preferred embodiment of the accumulation calculation circuit of the neuron circuit of the present invention. Figure 24 is a block diagram of a seventh preferred embodiment of the accumulation calculation circuit of the neuron circuit of the present invention. Figure 25 is a block diagram of a first simplified preferred embodiment of the neuron circuit of the present invention. Figure 26 is a block diagram of a second simplified preferred embodiment of the neuron circuit of the present invention. Figure 27 shows the symbol of the neuron circuit. Figure 28 shows the structure of a two layer structure-type neural network circuit. Figure 29 shows the structure of a three layer structure-type neural network circuit (OR processing output type). Figure 30 shows the structure of a conventional neuron circuit. Figures 31(a), (b) and (c) show the transmission characteristics of the threshold value circuit; (a) shows a step-function form, (b) shows a polygonal line form and (c) shows a sigmoid function form. Detailed Description of the Preferred Embodiments (Neuron Circuit 1) A first preferred embodiment of the neuron circuit of the present invention shown in Fig. 1. This circuit has a number n of weight correspondence (w1-w2) corresponding to the number n of inputs; the subtraction circuits determine the difference between the input signals and the weight coefficients, the results thereof are inputted into the absolute value circuits and the output values are determined based on the results thereof. The threshold value circuit, which finally determines the output value, has, as in the case of the conventional circuit, the transmission characteristics shown in Figs. 31 (a)-(c). In comparison with the conventional neuron circuit of Fig. 30, the squaring circuits have been replaced by absolute value circuits and the square root circuit is omitted. The network circuit of Fig. 29, comprising conventional neuron circuits of Fig. 30 or neuron circuits of the present invention of Fig. 1, is widely used in pattern recognition. By means of a pattern entered into the input layer, the neuron circuits react, and recognition is conducted. When the weight coefficients of the neuron circuits are so determined as to divide the multi-dimensional space of the dimensional number corresponding to the number of the input signals into a plurality of recognized areas, the neuron circuits which form the area which includes the inputted pattern react. In the case in which the number of inputs is 2, the shape of an area formed by one neuron circuit is circular, as shown in Fig. 5, in the case of the conventional type of Fig. 30. For example, in the case in which the values of the inputs 1 and 2 are within the circular area, so that the neuron circuit will react, it is preferable that the values of the weight coefficients w1 and w2 be set to the central point of the circle and a vector W be determined, and that the size of the threshold level h of the threshold value circuit be set to the radius thereof. In other words, the distance between the vector W and the inputted vector is calculated, and if this distance is below the threshold level h, the neuron circuit outputs a reaction output (Low). Accordingly, the circle having the radius h, which has the same distance as vector W, becomes the boundary. When the transmission characteristics of the threshold value circuit are set to a step-function form as in Fig. 31 (a), the border of the identification area becomes distinct, and when the transmission characteristics are set to the characteristics shown in Figs. 31 (b) and (c), the boundary has width. In the case in which the number of inputs is 3, the identification area has the form of a sphere, while in the case of four or more inputs, the identification area has the form of a prolate spheroid. The number of areas in which identification is possible increases with the increase in the number of neuron circuits. Furthermore, by means of the conducting of OR processing in the output layer, as shown in Fig. 29, the identification area can be formed by means of the grouping of a plurality of prolate spheroids, so that if a number of neuron circuits are used, it is possible to form an identification area with a freely selected shape. In the first neuron circuit in accordance with the present invention, in the case in which there are two inputs, the shape of the area formed by one neuron circuit is a quadrangle, as shown in Fig. 6. In the first neuron circuit, the absolute values of the differences between the inputs and the weight coefficients are added, and if the sum thereof is smaller than the threshold level h of the threshold level value circuit, a reaction output is outputted. If the boundaries thereof are x in the case of input 1 and y in the case of input 2, then this is expressed by the straight line formula |X-w1|+|Y-w2|=h Accordingly, in the case in which the number of inputs is 2 the shape becomes a quadrangle, as shown in Fig. 6 whereas when the number of inputs is 3, the shape is an octahedron, and when the number of inputs is 4 or more, the shape is that of a prolate multi-surface body. When a comparison is made between the identification areas of the present invention and the conventional circuit, it is clear that both possess the same functions, with the single exception that the shapes of the identification areas differ. In the case in which a plurality of neuron circuits are used in order to form an identification area with a freely selected shape, there is a necessity to form overlapping sections, since gaps may form when arranging the circuits, so as to make contact in the shape of a prolate spheroid or a prolate multi-surface body. With respect to the overlapping portions, there is little difference in the shapes of the identification areas of the two types of neuron circuits. In other words, as only the shape of the irregularities of the surface of the freely selected shape differs, there is almost no difference in performance which results from the differences in the shapes of the identification areas of the two types of neuron circuits. A conventional structural example of a neuron circuit which is used in a case in which a neural network circuit is realized by means of digital circuits is shown in Fig. 10, while a circuit for this purpose in accordance with the present invention is shown in Fig. 11. In Figs. 10 and 11, neuron circuit input parts are shown in which only an addition circuit with the number i is shown which conducts the accumulation of calculation results from 1 to n of calculation circuits with respect to a number i input and weight coefficient. When Figs. 10 and 11 are compared, it can be seen that the structure is identical, with the exception of the difference between the squaring circuits of the conventional circuit and the absolute value circuits of the present invention. The squaring circuit of the conventional circuit is realized by means of the inputting of an identical signal into the two input terminals a and b of the multiplier; in contrast, the absolute value circuit of the present invention comprises only EX-OR logic (exclusive OR) gates, as shown in Fig. 11. When the difference between input i and weight coefficient wi is calculated in the addition circuit, in the case in which the calculation result is a positive number, the carry output (Co) becomes "0", while when the calculation result is a negative number, the carry output (Co) becomes "1". With two complementary display binary digital signals, in order to convert the negative numbers into positive numbers, it is preferable to invert each bit signal and to add "1". Accordingly, it is possible to conduct the addition of "1" using the carry input (Cin) of the addition circuit, which carries out the inversion of each bit signal using the EX-OR gates and conducts accumulation only when the abovementioned Co is "1". In Figs. 10 and 11, an example is given of a case in which the signal is a four bit binary digital signal; however this is for the purpose of the simplification of the diagrams, and in general a binary digital signal of more than eight-bit accuracy is used. If the number of bits in the digital signal is assumed to be Nbit, then the number of transistors Na which is necessary for the comprising of the addition circuit is given by the following formula. Na = 28 Nbit Furthermore the number of transistors Nm which is necessary for the comprising of the multiplication circuit is given by the following formula. Nm = 26 Nbit 2 Furthermore the number of transistors Nz necessary for the comprising of the absolute value circuit is given by the following formula. Nz = 16 Nbit The numbers of transistors necessary in the case of 8 bit and 16 bit signals would thus be as follows. Nbit = 8: Na = 224, Nm = 1,664, Nz = 128 Nbit = 16: Na = 448, Nm = 6,656, Nz = 256 As the numbers of bits increase, it is clear that the circuit scale of the multiplication circuit becomes extremely large in comparison with that of the addition circuits or absolute value circuits. In this way, the neuron circuits in accordance with the present invention, which do not use multiplication circuits, represent an improvement over the conventional circuits in that the circuit scale can be greatly reduced. Furthermore, as the power consumption increases in proportion to circuit scale, it is also possible to reduce power consumption in concert with the large scale reduction in circuit scale. In addition, in the case of a comparison in the delays of the multiplication circuit and the absolute value circuit, if the delay time of the 1 bit addition circuit is assumed to be Ta1, then the delay time Tm of the multiplication circuit can be approximated by means of the formula Tm = 2 Nbit Ta1. In contrast, the delay time of the absolute value circuit is somewhat smaller than the delay time of the 1 bit addition circuit, so that it is possible to reduce the delay time to a level of 1/(2Nbit) of that of the multiplication circuit. In this way, the neuron circuit of the previous invention has an advantage in that it greatly shortens the calculation time. (Neuron Circuit 2) The second and third embodiments of the neuron circuit in accordance with the present invention are shown in Figs. 2 and 3. They are provided with a number n of input terminals (n is an integer greater than 1), and a total number 2n of weight coefficients, two of each of which correspond to the input terminals; if the weight correspondent with the larger value in each group of two is wH, and the the the weight coefficient of the smaller value is wL, then the subtraction circuit determines (input signal - wH) and (wL - input signal), and a rectification circuit is included which allows only positive values among the subtraction results to pass. The calculation results with respect to the inputs and weight coefficients are all accumulated by means of an adding circuit and the output value is determined by means of these results. The threshold value circuit which finally determines the output value has transmission characteristics such as those shown in Fig. 31 which are identical to the conventional circuit. The transmission characteristics of the input part in the neuron circuit of Fig. 1 are shown in Fig. 4(a). The characteristics of the subtraction circuit and the absolute value circuit assume a V shape, since the polarity of the part beneath the weight coefficient w is inverted with respect to the input signal. In a neuron circuit having a conventional squaring circuit as in Fig. 30, the characteristics are those of a parabola. In contrast, in the third neuron circuit in accordance with the present invention, two weight coefficients wH and wL are provided for one input, so that the characteristics of the input portion are as shown in Fig. 4(b). With respect to the input between wH and wL, the output level becomes 0. Furthermore, in the second neuron circuit in accordance with the present invention, by means of the squaring circuits, the straight line portions below wL and above wH become parabolic curves. In the case in which there are two inputs, in the neuron circuits of the previous invention of Figs. 2 and 3, the shape of the area formed by one neuron circuit is that shown in Fig. 7(a) in the case of the neuron circuit of Fig. 2 and is the shape shown in Fig. 7(b) in the case of the neuron circuit shown in Fig. 3. One neuron circuit has a vector wH with a value of the weight coefficients wH1 and wH2, and a vector wL with the value of weight coefficients wL1 and wL2; in the area in which input 1 < wL1, input 2 < wL2, in the area in which input 1 < wL1, and input 2 >wH2, in the area in which input 1 > wH1 and input 2 < wL2, and in the area in which input 1 > wH1 and input 2 > wH2, characteristics identical to those of the first neuron circuit are exhibited. However, in other regions the calculation result with respect to input 1 is 0 when input 1 is between wL1 and wH1, so that only the range of the identification area of input 2 is determined, and the area range in which the threshold value circuit outputs Low is the range from (wL2 - h) to (wH2 + h). Furthermore, the calculation result with respect to input 2 is 0 when input 2 is between wL2 and wH2, so that only the range of the identification area of input 1 is determined, and the area range in which the threshold value circuit outputs Low is the range from (wL1-h) to (wH1+h). Accordingly, when the areas of both are put together, the shape shown in Fig. 7 results. The quadrangle having as its diagonal the two points (wL1, wL2) and (wH1, wH2) is not a square but rather a rectangle, and it is clear that the shape is controlled by means of the weight coefficients. In the case in which the number of inputs is 3, the identification area has the form of a rectangular parallelopiped including a circumferential part with a thickness h, and in the case in which the number is 4 or more, it has the form of a prolate rectangular parallelopiped including a circumferential part having a thickness of h. It has been explained that the shape of the identification area of the neuron circuit in accordance with the previous invention is that shown in Fig. 7; however in a case in which vectors wL and wH are almost equal, the shape approaches that of the identification area of the first neuron circuit, and if the threshold value level h is small, the shape will be nearly rectangular. In this way the degree of freedom in the shape of the identification are a of the neuron circuit of the previous invention is high. Accordingly, taking the freely selected shape shown in Fig. 8 as a target identification area, examples using conventional neuron circuits and neuron circuits in accordance with the previous invention will be shown. In the conventional example of Fig. 8(a), as explained above, a number of neuron circuits are necessary; however in the case of the previous invention, as shown in Fig. 8(b) (the case of Fig.2), an extremely small amount of neuron circuits are necessary. In addition, in the actual application, it is not the case that all inputted data can be effectively used in pattern recognition, but rather it is the case that these data are used to extract the special data of the pattern, so that unnecessary input data is often included. Figs. 9(a) and (b) show examples of a case in which the value of the input 2 is data having no meaning. The identification area is determined by means of input 1, and with respect to input 2, the entire range is included in the area. As a result, an area which is long in the direction of input 2 must be realized. However, in the case in which the number of bits in the digital signal which expresses input 2 is large or in cases in which the expression is done by means of a floating decimal point, the range of input 2 is extremely large, and the smaller the width of the identification area of input 1, the smaller the diameter of the circles with which the identification area must be filled, so that an extremely large number of neuron circuits become necessary. The actual problem is that the scale of the circuitry becomes large in proportion to the number of neurons and there is a limit to the number of neurons, so that the range of the input signal becomes unavoidably narrow. When the range of the input signal is narrowed, the signal accuracy (resolution) declines, so that it becomes impossible to conduct accurate pattern recognition. In contrast, in the present invention, even in such cases, it is possible to use one neuron circuit irrespective of the range of the input signal, so that the necessary number of neurons can be reduced to a great extent. Furthermore, it is clear that it is also possible to greatly improve the accuracy of pattern recognition. An example of the structure of the neuron circuit in the case of the realization of the third neural network circuit in accordance with the present invention by means of digital circuits is shown in Fig. 12. In Fig. 12, only the calculation circuit corresponding to a number i input and weight coefficient, which represents the input part of the neuron circuit, and a number i addition circuit, which conducts the accumulation of the calculation results from 1 to n, are shown. When the carry output (Co) of the addition circuit which executes the subtraction of the input signal and the weight coefficient is "1", the result of the calculation is a negative number, and the rectification circuit does not transmit negative numbers by using an AND gate. Furthermore, among the calculation results of the wH and wL coefficients, at least one is a 0 output, so that the addition of both results can be simply executed by means of an OR gate, so that the number of addition circuits which conduct accumulation is not greater than that in the case of Fig. 1. Accordingly, one neuron circuit in accordance with the previous invention has a circuit scale in which the number of addition circuits used for the calculation of the weight coefficients only increases to 2, from 1 in the case of Fig. 1. In the second preferred embodiment, it was stated that two squaring circuits were necessary for each input; however if a structure such as that in Fig. 12 is adopted, in which a first addition is conducted by means of OR circuits and after this squaring circuits are disposed, the same calculations can be conducted, so that one squaring circuit can be provided for each input as in the conventional circuit. When the scale of the circuitry of the addition circuit and the squaring circuit are compared, that of the squaring circuit is overwhelmingly larger, so that the proportionate increase in the scale of the circuitry of the one neuron circuit of the present invention is small. The extent of the reduction of the necessary number of neurons varies depending on the application; however, the amount of reduction is very large when compared with a large scale neural network circuit, on the order of 1/100th-1/10,000 or less, so that the reduction in the scale of the circuitry of the neural network circuit in accordance with the present invention is extremely large. (Neuron Circuit 3) The structure of a fourth preferred embodiment of a neuron cicuit in accordance with the prein is shown in Fig. 13. The present preferred embodiment converts the subtraction result of the input signal and the weight coefficient obtained by means of the subtraction circuit using squaring circuits. It is provided with a number n of input terminals (n is an integer > 1), and a number 2n of weight coefficients, two of each of which correspond to the various input terminals; the subtraction circuits determine the differences between the input signals and one weight coefficient w of the two-coefficient groups, these subtraction results are converted to positive values by the squaring circuits, and are multiplied in the multiplication circuits by the remaining weight coefficient wh. The calculation results of the inputs and weight coefficients are all accumulated in the adding circuit, and the output value is determined by means of this result. The structure of a fifth preferred embodiment of the neuron circuit of the present invention is shown in Fig. 14. The present preferred embodiment converts the subtraction result of the input signal and the weight coefficients obtained by means of the subtraction circuits using absolute value circuits. It is possessed with a number n of input terminals (n is an integer > 1), and a number 2n of weight coefficients, two of each of which correspond to various input terminals; the subtraction circuits determine the difference between the input signals and one of the weight coefficients w of the coefficient groups, the subtraction results are converted to positive values in the absolute value circuits, and are multiplied by the remaining weight coefficient wh in the multiplication circuits. The calculation results of the inputs and the weight coefficients are all accumulated by the addition circuit and the output value is determined based on this result. Fig. 15 shows identification area shapes of the neuron circuits in accordance with the present invention. In the case in which the number of inputs is 2, the shape of the area formed by one neuron circuit as shown in Fig. 13 is that of an ellipse, as shown in Fig. 15(A). Furthermore, in the case of a neuron circuit as shown in Fig. 14, the shape of the area formed by one neuron circuit is that of a diamond, as shown in Fig. 15(B). For example, in the preferred embodiment of Fig. 13, the boundary point with respect to input 1 is (input 1 - w1) wh1 = h, so that the radius in the direction of input 1 becomes h/wh1. In the same way, the radius in the direction of input 2 becomes h/wh2. That is, the diameter can be freely controlled by means of weight coefficient wh. Furthermore, in the preferred embodiment of Fig. 14, as well, the diagonal direction of the quadrangle can be freely controlled. In this manner, the degree of freedom of the shape of the identification area of the neuron circuit in accordance with the present invention becomes high, so that the same effect can be obtained as in the cases of the second and third preferred embodiments of the present invention depicted in Figs. 2 and 3. (Concrete Circuitry) When the above described neural network circuit is realized, an extremely large amount of calculation circuits are required in order to execute the coefficient calculations and accumulation calculations, and there is a problem in that these circuits consume a great deal of power. In order to reduce this power consumption and to shorten the processing time, it is efficient to construct the above neural network circuit utilizing the accumulation addition circuit described hereinafter. The accumulation addition circuit of the present invention makes use of the final threshold value processing characteristics; all input signals of the accumulation addition circuits have a single polarity, and the intermediate result of the accumulation addition increases in a monotone fashion, so that in comparison with the saturation point value in the threshold value processing, in the case in which the accumulation result exceeds the saturation point, the threshold value circuit outputs a predetermined value, so that unnecessary calculations having no effect on the output results are truncated, and it is possible to shorten processing time and reduce the power consumption. (Concrete Circuitry Example 1) The preferred embodiment of Fig. 16 is comprising a number n of addition circuits having two input terminals ADD-1, ADD-2, ... ADD-n, as an addition mechanism, one threshold value circuit as a threshold value processing mechanism, and a number n of discrimination circuits CTL-1, CTL-2, ..., CTL-n and an OR circuit for the judgment results of each discrimination circuit CTL-1, ... as a control mechanism. First two input signals d 1 and d 2 having identical polarity are inputted into the first addition circuit ADD-1, the addition result of ADD-1 and input signal d 3 having the identical polarity are inputted into the second addition circuit, and thereinafter, in the same way, the addition result which is accumulated from an addition circuit having a number n-1 (omitted in the diagram) and an input signal dn having identical polarity are inputted into an addition circuit ADD-n having a number n, and the accumulated addition result is inputted into the threshold value circuit. As shown in Fig. 31, the threshold value circuit has transmission characteristics according to which the output level is saturated at a value of g. Next, the input signal d 1 and the saturation point value g of the threshold value circuit 1 are inputted into the first discrimination circuit CTL-1, the addition result of the first addition circuit ADD-1 and the saturation point value g are inputted into the second discrimination circuit CTL-2 as the threshold value of the threshold value circuit 1, and hereinafter in the same way, the accumulation addition result of a addition circuit having a number n-1 (omitted in the diagram) and the saturation point value g are inputted into a discrimination circuit CTL-n having a number n. Each discrimination circuit determines the size relationship of the addition result of the addition circuit and the saturation point value g, and if the addition result is larger than g, in order to truncate the calculations, in the discrimination circuit, a control signal is sent to the addition circuit by means of the discrimination result, and this directs the truncation of the calculations after this addition circuit. In addition, the discrimination results of each discrimination circuit CTL-1, CTL-2, ..., CTLn are inputted into an OR circuit, the OR output is inputted into the threshold value circuit, and in the case in which the calculations have been truncated, an output having an output value Hi corresponding to the saturation point g is directed. In this way, in the case of a value in which the intermediate results of the accumulation addition have no effect on the output result of the threshold value processing, it is possible to output a correct output value without conducting all addition. In a case in which there is a coefficient calculation circuit for the purpose of determining di before each input signal di, it is possible to omit such calculations in the same way. The preferred embodiment of Fig. 17 is a preferred embodiment in a case in which the addition circuits and discrimination circuits are multiplexed with respect to the above circuitry. This embodiment is provided with a number of input terminals n and one output terminal, and is comprising: one addition circuit (ADD), one register (R), and a switch for switching the number n of input signal d1, d2,...dn having identical polarity which are inputted into the number n of input terminals, in order, and successively inputting these into addition circuit 2, as an addition mechanism; a threshold value circuit, into which the addition result accumulated in the addition circuit and the register is inputted, and which carries out threshold value processing and converts the output value into an output signal y of the output terminal, as a threshold value processing mechanism; and a discrimination circuit (CTL), as a control mechanism, and the like. Each time the calculated addition result accumulated by the addition circuit is inputted into the discrimination circuit, the saturation point value g which represents the threshold value of the threshold value circuit is inputted as well. By means of this, the discrimination circuit compares the sizes of the addition result which is accumulated by means of the addition circuit and the saturation point value g, and by means of this comparison result, cases in which the addition result has not affected the output value of the threshold value circuit are discriminated, and a control signal which truncates calculation at that point is transmitted to the addition circuit, and the control signal which establishes the output value Hi of the saturation point as the output signal is transmitted to the threshold value circuit, and operation proceeds in the same manner as in the case of the preferred embodiment of Fig. 16. (Concrete Circuitry Example 2) Another preferred embodiment of an accumulation addition circuit in accordance with the present invention is shown in Fig. 18. This preferred embodiment has a structure in which the number of input terminals is n and the number of output terminals is m. A coefficient calculation circuit and an addition circuit are provided in parallel with respect to the first through the number k signals of the input terminals and corresponding to all calculations. However, with respect to the inputs of the number (k+1) input terminal to number n input terminal, only the concentrated calculation part shown in the diagram executes the calculation. A number m of intermediate results of the calculation corresponding to the input terminal number 1 to k exist and correspond to a number m of output terminals, and these intermediate results are all inputted into a selection control circuit. The selection control circuit select one of the numbers 1 to m intermediate results of the calculation and inputs this into the concentrated calculation circuit part. At this time, the selection control circuit simultaneously outputs, as an address signal, information indicating which of the output terminals from the first output terminal to the number m output terminal the selected signal corresponds to, and the address signal is inputted into the coefficient RAM circuit and the output register circuit. The coefficient RAM circuit reads out the necessary coefficient data by means of the address signal and transmits this to the (k + 1) to n register circuits of the concentrated calculation part, and in the concentrated calculation part, the calculations of the input signals and coefficients of the numbers (k+1) to n are executed and the intermediate results of the calculations corresponding to the numbers 1 to k are accumulated, and the accumulation results of the calculations corresponding to all inputs are inputted into the threshold value circuit. The output signal of the threshold value circuit is outputted by means of the output register circuit to the output terminal which is selected by means of the address signal, and the output register circuit holds the output signal. In this manner calculation circuits corresponding to the inputs numbered (k+1) to n are almost completely omitted. In addition, in the preferred embodiment shown in Fig. 19, the structure of the concentrated calculation part differs from that in the abovementioned preferred embodiments. In order to further reduce the scale of the circuitry of the coefficient calculation circuit and the addition circuit, the preferred embodiment is so structured as to enable the execution of the calculations corresponding to the numbers (k+1) to n in a coefficient calculation circuit and an addition circuit made into a group by means of a register circuit ACC, which is used for accumulation, and switch circuits. In other words switch circuits are provided at the two inputs of the coefficient calculation circuit, and the input terminals and coefficients are thus switched. By means of this, the scale of the calculation circuitry corresponding to the inputs numbered (k+1) to n can be reduced in comparison with the abovementioned preferred embodiment. The operation of the accumulation circuit is shown in Fig. 20. A coefficient calculation circuit, an addition circuit, and a coefficient memory circuit can be thought of as one cell. Fig. 20 shows the calculation operation of each cell with respect to a case in which the number of output terminals m is 16 and the number of input terminals n is 8. The coefficient calculation circuit normally calculates the difference and distance between inputs signal and coefficients in pattern recognition and the like. In this case, the output of the coefficient calculation circuit is an integer. On the other hand, the threshold value circuit has saturation characteristics, as shown in Fig. 31. In the saturation characteristics, when the input level exceeds a predetermined value, the output level does not change. In other words, when the output level reaches the saturation level, no matter how large the input level grows above this, the output level does not change. Accordingly, in the combination of the accumulation calculations and the threshold value circuit, the accumulation result only increases in a monotone fashion, so that if the output level reaches the saturation level during accumulation, the calculations after this point can be omitted. Fig. 20 shows the cells which are necessary for calculations, and cells which are necessary for calculations. In this example, the only row in which all cells must execute calculations is the first row. In general, in pattern recognition and the like, the design is such that one of the outputs reacts with respect to an input and the input patterns can be divided according to category. In other applications, as well, because only a small number of neuron circuits react, most do not react. Accordingly, the operation shown in Fig. 20 has characteristics which can be seen in many applications. In the example of Fig. 20, after the fifth row of input terminals, only the calculations of the eighth calculation circuit are necessary, and it is therefore clear that the great majority of the calculation circuits can be omitted. The disposition of the cells which are necessary for calculation and those which are not necessary changes based on the input signals; however as the distribution of cells which are not necessary for calculations is close to the form shown in Fig. 20 irrespective of the type of input signals even if the calculation circuits are omitted in the same manner as the accumulation circuits of the present invention, calculations which are identical to those of the conventional circuit can be executed. As stated above, in accordance with the present invention, it is possible to greatly reduce the scale of the circuitry with almost no reduction in calculation speed. Furthermore, as a result of the omission of the calculation circuits, the power consumption is greatly reduced as well. (Concrete Circuitry Example 3) It is possible to control the truncation of the accumulation addition calculations by means of a carry output signal which indicates the carrying over of addition circuits. The structure of an accumulation addition circuit which is controlled by means of a carry output signal is shown in Fig. 21. The addition based circuit of Fig. 21 (b) has signals A and B to be added, carry input Ci, and an input terminal for a calculation starting signal Start, and has output terminals for addition output signal Sum, carry output Co, and calculation ending signal, NS+art. The signals A and B to be added are inputted into addition circuit ADD through the medium of gate circuits GA and GB as values to be added. The carry input Ci is inputted into addition circuit ADD as a carry input. The calculation starting signal Start is used as the control signal of gate circuits GA and GB. The addition result of addition circuit ADD is outputted to addition output signal Sum, the carry output signal of addition circuit ADD is outputted to carry output Co, and furthermore, the inversion of the carry output signal of addition signal circuit ADD is outputted to calculation ending signal NStart. Gate circuits GA and GB are each provided with one input terminal, output terminal and control signal terminal, and when the control signal has a value of 0, the greatest obtainable value is outputed from the output terminal, and when the control signal has a value of 1, the value which is inputted from the input terminal is outputted in an unchanged manner to the output terminal. In the initial period state, the value of calculation starting signal Start is set to 0, and the carry input Ci is set to 1. At this time, irrespective of the values of the signals A and B to be added, the outputs of gate circuits GA and GB have the highest obtainable values, and since the carry input Ci has a value of 1, the highest obtainable value in addition output signal Sum, a value of 1 is outputted to the carry output Co, and a value of 0 is outputted to calculation ending signal NStart. By means of setting the value of calculation starting signal Start to 1 and setting the value of carry input Ci to 0, the incorporation and calculation of signals A and B to be added in addition circuit ADD begins. In a case in which the addition result A+B is smaller than the highest obtainable value, the addition result A+B is outputted to addition output signal Sum, a value of 0 is outputted to carry output Co, and accordingly, a value of 1 is outputted to calculation ending signal NStart. In a case in which the addition result A+B is greater than the highest obtainable value, the values of the carry output Co and calculation ending signal NStart do not change from those of the initial. Positive value input signals X1, X2, X3..., Xn are inputted from a plurality of input terminals (n in number) The calculation starting signal Start-1 is inputted as the input signal. When a value of 1 is inputted as the calculation starting signal Start, calculation begins. When the number i input signal Xi is inputted into the addition base circuit, and a value of 1 is inputted into the calculation starting signal Start, this is added to the accumulation result of the inputs up to the number (i-1) input. In the case in which the addition result is smaller than the largest obtainable value of the addition base circuit, the addition result is outputted to the addition output signal Sum-i, a value of 1 is outputted to the carry output Co, and a value of 1 is outputted to the calculation ending signal NStart-i, and the calculation of the next addition base circuit is begun, and in the case in which this addition result is greater than the largest obtainable value, the value of the carry output Co-i is 1, and the value of the calculation ending signal NStart-i remains as 0, so that the accumulation calculation ends at this step, and the largest value is outputted as the final output y (the output of addition circuit ADD-n). The output of the number n addition circuit ADD-n is outputted as output y by means of a gate Gate having the same functions as those of GA and GB. This gate Gate is controlled by means of NStart-n and in the addition of addition circuit ADD-n, in the case in which the accumulation value becomes greater than the greatest obtainable value for the first time, this gate prevents the outputting of a value other than the greatest value as output y. By means of this structure, in the case in which the final accumulation result is less than the largest obtainable value, the final accumulation result is outputted as output y, and in the case in which the final accumulation result is larger than the largest obtainable value, the largest obtainable value is outputted as output y. An addition base circuit structure in the case in which each number value signal is expressed in terms of a four bit binary code is shown in Fig. 22. The input signals A1, A2, A3, A4, B1, B2, B3 and B4 represent the first, second, third and fourth bits of the signals A and B which are to be added, and furthermore, the output signals Sum1, Sum2, Sum3 and Sum4 represent the first, second, third and fourth bits of the addition result signal Sum. The input signal Ci0 represents the carry input signal, the output signal Co0 represents the carry output signal, the input signal Start represents the calculation starting signal, and NStart represents the calculation ending signal. The input and output terminals IN1 and IN2 of the full adder represent the input signals to be added, Ci represents the carry input signal, S represents the addition output signal, and Co represents the carry output signal. The carry output signal Ci0 generally has the inverted value of the calculation starting signal Start. In the initial state, the value of the calculation starting signal Start is set to 0, and the value of carry input Ci0 is set to 1. As one of the inputs of all of the NAND circuits is Start at this time, the output of the NAND circuits, that is, the input signals IN1 and IN2 to be added all have values of 1. Furthermore, as the value of carry input Ci0 is also 1, the addition output signals Sumi (i represents integers from 1 to 4) of the full adder, and the carry output signal Co0 all have values of 1, and the largest obtainable value is outputted as addition output signal Sum, and a value of 1 is outputted as carry output Co0. By means of the setting of the value of calculation starting signal Start to 1 and the setting of carry input Ci to 0, the NAND circuits operate as NOT circuits, so that Ai and Bi are inputted into the outputs of the NAND circuits, that is, into the input signals IN1 and IN2 to be added of the full adder. At this time, the carry input Ci0 has a value of 0. In the case in which the addition result A+B is less than the largest obtainable value, the addition result A+B is outputted to the addition output signal Sum, a value of 0 is outputted to the carry output Co0, and accordingly, a value of 1 is outputted to calculation ending signal NStart; in the case in which the addition result A+B is greater than the largest obtainable value, the value of carry output Co and the value of calculation ending signal NStart do not change from the initial state. If the calculation ending signal NStart is taken from a carry output signal of an addition circuit having a number of bits i, then when the addition result becomes 2 i +1, if the number of bits is set NStart will become 0, and calculations will stop. So that calculations will stop when the level becomes higher than the saturation level of the threshold value circuit, the truncation of calculation without affecting the output of the threshold value circuit, is possible. (Concrete Circuitry Example 4) In the above mentioned concrete circuitry example 3, after the addition output signals of each bit of the full adder which comprises the number i addition circuit are ascertained, in order that the calculation starting signal START (i+1) of the number (i+1) calculation be outputted, it was necessary to insert a delaying circuit along the START signal line. As a result, it was not possible to greatly shorten the processing time. Here, by providing control gate circuits which are controlled by means of the carry output signals from the addition circuits previous to the number (i-1) input for one of the value input signals to be added of each 1 bit full adder comprising a number i addition circuit ADD(i) and for the carry input signal, and by conducting pipeline-type processing for each bit, it is possible to realize the same functions without providing a delay circuit in the signal line of START (i). The circuit structure of the present preferred embodiment is shown in Fig. 23. Positive-value digital input signals IN(1), IN(2), IN(3),...,IN(n) which are expressed in four bit natural binary code, are inputted from a plurality (n) of input terminals, and in addition, calculation starting signal START(1) is inputted. i is an integer between i and n and each input IN(i) as a corresponding m bit addition circuit ADD(i). The number i addition circuit ADD(i) has a input signal IN(i) has one of the value inputs which are to be added thereof, has as the other value to be added thereof the addition output of the number (i-1) addition circuit ADD(i-1), and conducts accumulation addition on all inputs. The m bit addition circuit ADD(i) has a first bit as a lowest position bit thereof, and a number m bit as the highest position bit thereof, so that if j is an integer between 1 and m, the circuit is comprising a number m of 1 bit full adders FADD(i,1), FADD(i,2), FADD(i,3),...,FADD(i,j),...,FADD(i,m). Among the 1 bit full adders which comprise addition circuit ADD(i), the number j bit full adder is FADD(i,j), the value input signals to be added of FADD(i,j) are A and B, and the addition output is S. Among the value input signals to be added A and B, the one as which the accumulation intermediate result up to the number (i-1) input, that is, the addition output of FADD(i-1,j) is inputted is taken to be A, while that as which a signal from the number i input terminal is inputted is taken to be B. The carry output signal Co of FADD(i,j) is inputted into the carry input signal Ci of FADD(i,j+1). Among the values to be added of 1 bit full adder FADD(i,j) which comprises the number i addition circuit ADD(i), into the A side of which the output of the number (i-j) addition circuit is inputted, and for the carry input signal Ci, control gate circuit is disposed which controls the input of the value to be added and the carry signal. When i=1, and j=m, in other words, in the case of the full adder FADD(l,m) of the highest position bit of an addition circuit ADD(1) corresponding to the first input, the control input signal START (1) is inputted into the control gate circuit as a control signal, while when i=1, and j=/m, in other words, in the case of a full adder FADD(1,j)(j=/m) of a bit other than the highest position bit of the addition circuit ADD(1) corresponding to the first input, a value of 1 is inputted into the control gate circuit as the control signal. Furthermore, when i=/1 and j=m, in other words, in the case of a full adder FADD(i,m) of the highest position bit of an addition circuit ADD(i) (i=/1) corresponding to an input other than the first, START(i) is inputted; when i=/1 and j=/m, in other words, in a case of a full adder FADD(i,j) (j=/m) of a bit other than the highest position bit of an addition circuit ADD(i)(i=/1) corresponding to an input other than the first, a control signal is inputted which is identical to a control signal corresponding to the full adder of a one bit higher position comprising a addition circuit corresponding to an input which is one before the full adder in question. This means, in other words, that in the case in which i-(m-j) is less than or equal to 0, a value of 1 is inputted as the control signal corresponding to full adder FADD(i,j), in the case in which i=1 and j=m, the control input signal START(i) is inputted from the outside as this control signal, and in cases other than these, the control signal START(i-(m-j)) is inputted. The control signal START(i) is the inverse of the carry output signal Co of full adder FADD(i-1, n) of the highest position bit of the (i-1) number addition circuit. When the control signal of these control gate circuits have a value of 0, they generally output a value of 1, and when the control signal has a value of 1, they generally output the value of the input signal which is inputted into the control gate circuit. Furthermore, a control gate circuit can not be placed for the control input signal Ci of the full adder FADD(i,1) of the lowest position bit of the number i addition circuit; the inverse of the control signal corresponding to whole full adder FADD(i,1) is inputted. The addition output signals S of the 1 bit full adders comprising the addition number m addition circuits are inputted into the control gate circuits which have START(n+1) as the control signal thereof, and the outputs of these control gate circuits are outputted as the output OUT of the accumulation addition circuit. In the initial state, the value of the calculation starting signal START(1) is set to a value of 0. As described above, in the case in which i=1, that is, in a addition circuit ADD(1) corresponding to the first input, j not equalling m, that is, a full adder FADD(1,j) (j=/m) of a bit other than the highest position bit, a value of 1 is inputted as the control signal of the gate. For this reason, in the case of a full adder FADD(i,j) in which i-(m-j) is less than or equal to 0, the control gate becomes open (the state in which the output and input are equal), and in the case of a full adder within this range, the value which is to be used in addition to the input which is to be added and the carry input is indicated, and addition is actually executed. This means, in other words, that in the case of a number i input, the calculations of the full adder from the first bit to the number m-i bit have already been conducted in this state. Because the value of START(1) is set to 0, in the case of other full adders, in other words, full adders such as full adder FADD(i,j) in which i-(m-j) is greater than 0, the output of each control gate circuit which is provided becomes 1, and the carry output signal Co of full adder FADD(i,m) of the highest bit position becomes 1, so that the signal START(i) has a value of 0 in the case of all values of i. Because the value of START(m+1) is 0, all bits of the output OUT of the accumulation addition circuit have a value of 1, so that the highest value which can be expressed in a positive value m bit natural binary code is outputted. When a value of 1 is inputted into calculation starting signal START(1), the calculations begin. When the value of START(1) becomes 1, the control gate circuit of the full adder FADD(l,m) of the highest position bit of addition circuit ADD(1) corresponding to the first input opens, and the calculations of the full adder begin. In addition, in circuit ADD(1), as explained above, at the stage in which the value of START(1) is 0, the calculations of the full adders up to the number (m-1) bit have been conducted, so that when the value of START(1) becomes 1, a positive value is immediately outputted to the output following the signal delay time of full adder FADD(l,m). In the case in which the addition result of this addition circuit ADD(1) is smaller than the greatest value expressible in m bit natural binary code, the addition result is outputted as the output of the addition circuit, a value of 0 is outputted as the carry signal of the full adder FADD(1,m) of the highest position bit, the control signal START(2) acquires a value of 1, and the accumulation calculation of the following input signal IN(2) begins. In the case in which this addition result is greater than the greatest value expressible in m bit natural binary code, the carry signal of the full adder FADD(1,m) of the highest position bit remains at 1, and the signal START(2) remains at a value of 0 and thus does not change, so that the accumulation calculation ends at this step, and the output OUT of the accumulation addition signal remains at the greatest value expressible in positive value m bit natural binary code. Furthermore, at the stage at which this START(1) acquires a value of 1, the control gate circuits of full adder FADD(2,m-1), FADD(3,m-2),...,FADD(m,1) open, and the calculations of these full adders begin. (In the case in which i=1, one of the addends is 0, so that this addition circuit can be omitted.) Among the full adders comprising the addition circuit ADD(i), the control gate circuit of the number j full adder FADD(i,j) opens when the value of START(i+j-m) changes from 0 to 1, and the calculation of this full adder thus begins. The carry input signal of the full adder, which is necessary for a conducting this calculation, is the carry output signal of full adder FADD(i,j-1); however, the calculation of full adder FADD(i,j-1) is begun by means of the immediately previous control signal START(i+j-m-1), and the time gap between START(i+j-m) and START(i+j-m-1) is almost equivalent to the signal delay period of a one bit full adder, so that when the value of START(i+j-m) changes from 0 to 1, the correct value which is to be used for the calculation is inputted into FADD(i,j), and after the signal delay period of the one bit full adder FADD(1,m), a correct value is outputted. Thereafter, calculations continue in an identical manner, and when the calculation starting signal START(i) changes from 0 to 1, the control gate circuit of the full adder FADD(i,m) of the highest position bit of addition circuit ADD(i) corresponding to the number i input opens, and the calculation of this full adder begins. The calculations of the number (m-1) bit full adder will begin at the stage at which the value of START(i-1) became 1, so that when the value of START(i) becomes 1, a correct value is immediately inputted as the carry input signal of full adder FADD(i,m), and after the signal delay period of the 1 bit full adder FADD(i,m), a correct value is outputted. In the case in which the accumulation addition result up to the number i input is smaller than the largest value expressible in m bit natural binary code, this addition result is outputted as the output of the addition circuit corresponding thereto, a value of 0 is outputted as the carry signal of the full adder of the highest position bit, and the value of signal START(i+1) becomes 1. In the case in which the accumulation addition result up to the number i input is larger than the largest value expressible in m bit natural binary code, the carry signal of the full adder of the highest position bit remains unchanged with a value of 1, and the value of signal START(i+1) remains unchanged at 0, so that the accumulation calculations stop at this stage, and the output OUT of the accumulation addition circuit remains at the largest value expressible in positive value m bit natural binary code. The accumulation calculations proceed to the number m addition circuit, and in a case in which the value of START(m+1) becomes 1, a number n of positive value m bit digital input signals IN(1), IN(2), IN(3),..., IN(n) representing accumulation addition results are outputted as output OUT of the accumulation addition circuit. In the case in which the signal line of START is provided with a delay circuit, if the delay time of a 1 bit full adder is taken to be tADD, then it is necessary that the delay time tDELAY of the delay circuit be on a level of roughly 2 x m x tADD, so that the time necessary to conduct the accumulation addition of a number m of input signals is m x tDELAY = 2 x n x m x tADD. In contrast, in the circuit of the present invention, pipeline-type processing is conducted for each bit, so that the calculation time necessary for the addition corresponding to each input is roughly equivalent to the signal delay time tADD of a 1 bit full adder. As a result, the time necessary to conduct the accumulation addition of a number n of input signals is roughly n x tADD. Accordingly, it is possible to execute this in a processing time of 1/(2xm). This means that in the case of 8 bit input signals, it is possible to increase the speed by roughly 16 times. (Concrete Circuitry Example 5) In concrete circuitry examples 3 and 4, when the intermediate result of the accumulation in an addition circuit exceeded Sb=(2 i ), the input of the values to be added into the addition circuit is controlled using the carry signal of the addition circuit, and by means of the stopping of the accumulation calculation from the following addition circuit onward, the accumulation calculations are stopped when the intermediate result of the accumulation exceeds Sb. In contrast, when the largest value expressible with the bit length of the addition circuit is taken to be Sb, and g represents a freely selected positive value (g is less than Sa), Sa-g is initially inputted into the accumulation circuit, an addition circuit is provided on the output side of the number n addition circuit, the addition result of the number n addition circuit is inputted as one of the inputted values to be added of the addition circuit, and -(Sa-g) is inputted as the other inputted value to be added, an thereby, the initial value is subtracted, and it thus becomes possible to stop the accumulation calculation at the stage at which the intermediate results of the accumulation exceed the freely selected positive value g. A preferred embodiment of the present invention is shown in Fig. 24. In comparison to the preferred embodiment of Fig. 21, modifications have been made which permit the setting of the initial value of the accumulation and the final subtraction of the initial value. The same modifications are possible with respect to the preferred embodiment of Fig. 23. In accordance with this structure, in the case in which the final accumulation result is outputted as output y, and in the case in which the final accumulation result is larger than calculation stopping value g, the accumulation calculation is truncated. If the value of g is set to the saturation level of the threshold value circuit, unnecessary calculations are eliminated to a greater extent than in the case of the accumulation calculation stopping control by means of Sb=(2i), so that the effects of the shortening of the calculation time and the reduction of the power consumption are large. (Simplified Circuitry Example) In the above mentioned concrete circuit examples, accuracy of calculation did not worsen as a result of the elimination of calculations. Accordingly, the invention possesses a high degree of flexibility and can be applied in many fields. However, if a certain amount of decrease in the accuracy of calculations is permissible, the circuitry can be simplified as shown below. First, in the preferred embodiment of Figs. 2 and 3, the output signal of the rectification circuit which rectifies the subtraction result of the input signals and the weight coefficients, which is generally expressed at the level of 8 bits, is expressed in terms of 1 bit. That is, if the rectification circuit output is 0, this bit has value of "0", and if the output is larger than 0, the bit has a value of "1". As a result of this, the squaring circuits of Fig. 2 become unnecessary. Furthermore, if the characteristics of the threshold value circuit are taken to be those of the step function shown in Fig. 31(a), output y can be expressed in terms of one bit, so that the same functions will be realized if the accumulation addition circuit and threshold value circuit are replaced by OR logic circuits. As a result of the above circuit modifications, the circuits of Figs. 2 and 3 have a structure such as that shown in Fig. 25, the accumulation addition circuit, which necessitated large scale circuitry, is replaced by a single logic circuit, and a large reduction in the scale of the circuitry results. Secondly, the same type of circuit simplification is possible with respect to the preferred embodiments of Figs. 13 and 14 as well. In this case, the modification circuits are replaced by size determination circuits, and when the output level of the squaring circuits or the absolute value circuits is compared with the size of the weight coefficient wh, this result is expressed in terms of a 1 bit signal. As a result, it is possible to replace the accumulation addition circuit and the threshold value circuit with logic circuits as explained above, and the simplified structure of Fig. 26 is possible. When a neural network circuit is translated into hard ware, the necessary number of neuron circuits differs depending on the application; however, in general, the greater the number of neuron circuits, the greater the increase in processing ability. For this reason, the realization by means of large scale integrated circuits of a neural network circuit on which a number of neuron circuits are placed has been expected. However, the scale of the circuitry which can be placed on one chip is limited as a result of the limitations in chip size, and the power which can be consumed by one chip is limited as a result of the problems of heat release and mounting. Accordingly, in order to provide a neural network circuit realized by means of a large scale integrated circuit with applicable characteristics, the reduction in the circuit scale and power consumption of the neuron circuit is the most important problem. As a result, by means of the use of the neuron circuit of the present invention, an effect is achieved whereby the characteristics of the neural network circuit can be increased to a level at which the application of the neural network circuit becomes possible. The present invention was concretely explained above base on the above mentioned preferred embodiments. However, the present invention in no way limited to the above mentioned preferred embodiments, a variety of modifications are possible so long as the essentials of the invention are not omitted.

Claims: A neural network circuit, which is provided with neuron circuits, which have a number n (x1, x2, ..., xn) of input terminals (n is an integer greater than 1), and two weight coefficients wL, wH, corresponding to each said input terminal, and which are provided with a first input path, comprising a first subtraction circuit, which uses the weight coefficient wH with a larger absolute value than wL and subtracts wH from an input signal , and a first rectification circuit, which allows only positive values of subtraction results of said first subtraction circuit to pass, and a second input path, comprising a second subtraction circuit, which uses the weight coefficient wL having a smaller absolute value than coefficient wH, and subtracts the input signal from wL and a second rectification circuit, which also allows only positive values of subtraction results of said second subtraction circuit to pass; and which neuron circuits are comprising an addition circuit, which adds the output signals of said first and second rectification circuits provided for each of said number n of input terminals, and a threshold value circuit, which has a predetermined threshold value, judges whether a result of said accumulation is greater or smaller than an amount of said predetermined threshold value based on the predetermined threshold value, and outputs a result of the judgement; in which neural network circuit, said neuron circuits, which use the output values of said threshold value circuits as output signals, are used as unit circuits, and a network circuit is provided with means of connecting input and output terminals of a plurality of said neuron circuits, said neuron circuits, which have independent weight coefficients with respect to a plurality of input signals inputted into said network circuit, execute calculations, an output value of at least one neuron circuit within said network circuit is used as an output signal of said network circuit, and functions of said network circuit are controlled by means of said 2 weight coefficients wL, wH, of each said neuron circuit and the amount of the threshold value of said threshold value circuits. A neural network circuit in accordance with claim 1, wherein: the first input path further has a first non-linear type circuit which gives non-linear type characteristics to an output of the first rectification circuit; and the second input path further has a second non-linear type circuit which gives non-linear type characteristics to an output of the second rectification circuit. A neural network circuit in accordance with claim 2, further having: a first multiplication circuit which multiplies an output of the first non-linear type circuit by a predetermined multiplication coefficient which defines a gain of the transmission of said first non-linear type circuit; and a second multiplication circuit which multiplies an output of the second non-linear type circuit by a predetermined multiplication coefficient which defines a gain of the transmission of said second non-linear type circuit. A neural network circuit in accordance with claim 1, wherein: in the first input path, the first rectification circuit conducts absolute value calculation of a subtraction result of the first subtraction circuit to output only a positive value of the result, and the first input path further has a first multiplication circuit which multiplies an output of the first rectification circuit by a predetermined multiplication coefficient which defines a gain of the transmission of said rectification circuit; and in the second input path, the second rectification circuit conducts absolute value calculation of a subtraction result of the second subtraction circuit to output only a positive value of the result, and the second input path further has a second multiplication circuit which multiplies an output of the second rectification circuit by a predetermined multiplication coefficient which defines a gain of the transmission of said rectification circuit. A neural network circuit in accordance with one of claims 1-4, in which a control means, which compares a size relationship of an intermediate result of an accumulation addition corresponding to each input signal and a threshold value of said threshold value circuit, and based on comparison results, determines whether remaining addition calculations are to be truncated or not, is provided in said addition circuit, which conducts accumulation of said neural network circuit, and said threshold value circuit determines said output value based on said comparison result. A neural network circuit in accordance with one of claims 1-4, in which said addition circuit has a number m (m is an integer larger than 1) of output terminals, and in order to determine a weight value as a single polarity coefficient calculation value by means of one of the coefficients or by means of the difference or distance between an number i (i is an integer from 1 to k) coefficient and a number i input signal with respect to said input signals from 1 to a number k (k is an integer which is larger than 1 and smaller than n), addition circuits are disposed in parallel in a number of groups m with coefficient calculation circuits, comprising a first coefficient calculation circuit which is provided in a dedicated fashion for one coefficient and a first addition circuit for conducting accumulation of outputs of numbers 1 to k of said coefficient calculation circuits, in which a selection control circuit, which compares an intermediate result of a number of accumulations m and a saturation level of said threshold value circuit, determines whether to continue calculation with respect to inputs of remaining input terminals, and outputs intermediate results of accumulation which are necessary for the continuation of calculation, is provided, and in which at least one second coefficient calculation circuit and one second addition circuit are used in common with respect to input terminals for which continuation of calculation is necessary, input signals and coefficient values are switched and accumulation calculation is continued, accumulation results corresponding to said input terminals from number 1 to number n are inputted into said threshold value circuit, and a processing result of said threshold circuit is outputted to said output terminals. A neural network circuit in accordance with one of claims 1-4, in which said addition circuit has a plurality n of input terminals and an identical number of addition circuits, a positive value digital input signal from each input terminal is used as one value to be added of a corresponding addition circuit, and, when i is a integer from 1 to n, an accumulation addition result from a number (i-1) addition circuit is used as another value to be added of a number i addition circuit, and thereby, said addition circuit is a accumulation addition circuit which conducts the accumulation addition of all inputs, a gate circuit which controls input of values to be added into corresponding addition circuits by means of a carry signal from the immediately preceeding addition circuit is provided at a value to be added input side of said addition circuit, and when an accumulation addition result in a number (i-1) addition circuit exceeds a predetermined value, accumulation calculations from a number i addition circuit onward are stopped. A neural network circuit in accordance with one of claims 1-4, in which said addition circuit has a plurality n of input terminals and an identical number of addition circuits, and a positive value digital input signal from a input terminal is used as one value to be added of a corresponding addition circuit, and, where i represents an integer greater than 1 and smaller than n, an accumulation addition result of addition circuits up to a number (i-1) addition circuit is used as another value to be added of a number i addition circuit, and thereby, said addition circuit is an accumulation circuit which conducts accumulation addition of all inputs, and a gate circuit which is controlled by means of a carry signal from a previous addition circuit is disposed between all value to be added input terminals and carry input terminals of a plurality of 1 bit addition circuits comprising each addition circuit, and when an accumulation addition result in a number (i-1) addition circuit exceeds a predetermined value, accumulation calculations from a number i addition circuit onward are stopped. A neural network circuit in accordance with one of claims 7 and 8, in which said addition circuit uses Sa as the largest value expressible by the bit length of an addition circuit, and uses g (g < Sa) as a freely selected positive value, and among the inputted values to be added of a first addition circuit, inputs a (Sa-g) signal as an inputted value to be added which differs from said input terminal, and uses this as an initial value of an accumulation value, and is provided with a second addition circuit at an output side of number n addition circuit, and is provided with a means for inputting an addition result of the number n addition circuit as one inputted value to be added of said second addition circuit and inputting - (Sa-g) as another inputted value to be added.

Inventors: AMEMIYA YOSHIHITO, IWATA ATSUSHI, SAITO OSAMU, UCHIMURA KUNIHARU, AMEMIYA, YOSHIHITO, IWATA, ATSUSHI, SAITO, OSAMU, UCHIMURA, KUNIHARU
Applicants: NIPPON TELEGRAPH & TELEPHONE, NIPPON TELEGRAPH AND TELEPHONE CORPORATION
Application year: 1991
Main classification: G06F15
IPC codes: G06N3