Above are papers related to the following paper: [Paper_ID] Paper #1118347. 	[Title] Even with Arbitrary Transfer Functions, RCC Cannot Compute Certain FSA [Abstract] Category: algorithms and architectures | recurrent networks. No part of this paper has been submitted elsewhere. Preference: poster. Abstract Existing proofs demonstrating the computational limitations of the Recurrent Cascade Correlation (RCC) Network (Fahlman, 1991) explicitly limit their results to units having sigmoidal or hard-threshold transfer functions (Giles et al., 1995; and Kremer, 1996). The proof given here shows that, for any given finite, discrete, deterministic transfer function used by the units of an RCC network, there are finite-state automata (FSA) that the network cannot model, no matter how many units are used. The proof applies equally well to continuous transfer functions with a finite number of fixed-points, such as the sigmoid function. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #12347. 	[Title] First-Order vs. Second-Order Single Layer Recurrent Neural Networks [Abstract] We examine the representational capabilities of first-order and second-order Single Layer Recurrent Neural Networks (SLRNNs) with hard-limiting neurons. We show that a second-order SLRNN is strictly more powerful than a first-order SLRNN. However, if the first-order SLRNN is augmented with output layers of feedforward neurons, it can implement any finite-state recognizer, but only if state-splitting is employed. When a state is split, it is divided into two equivalent states. The judicious use of state-splitting allows for efficient implementation of finite-state recognizers using augmented first-order SLRNNs. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #72101. 	[Title] Constructive Learning of Recurrent Neural Networks: Limitations of Recurrent Casade Correlation and a Simple Solution [Abstract] It is often difficult to predict the optimal neural network size for a particular application. Constructive or destructive methods that add or subtract neurons, layers, connections, etc. might offer a solution to this problem. We prove that one method, Recurrent Cascade Correlation, due to its topology, has fundamental limitations in representation and thus in its learning capabilities. It cannot represent with monotone (i.e. sigmoid) and hard-threshold activation functions certain finite state automata. We give a "preliminary" approach on how to get around these limitations by devising a simple constructive training method that adds neurons during training while still preserving the powerful fully-recurrent structure. We illustrate this approach by simulations which learn many examples of regular grammars that the Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #3229. 	[Title] Book Review  Introduction to the Theory of Neural Computation Reviewed by: 2 [Abstract] Neural computation, also called connectionism, parallel distributed processing, neural network modeling or brain-style computation, has grown rapidly in the last decade. Despite this explosion, and ultimately because of impressive applications, there has been a dire need for a concise introduction from a theoretical perspective, analyzing the strengths and weaknesses of connectionist approaches and establishing links to other disciplines, such as statistics or control theory. The Introduction to the Theory of Neural Computation by Hertz, Krogh and Palmer (subsequently referred to as HKP) is written from the perspective of physics, the home discipline of the authors. The book fulfills its mission as an introduction for neural network novices, provided that they have some background in calculus, linear algebra, and statistics. It covers a number of models that are often viewed as disjoint. Critical analyses and fruitful comparisons between these models Please summarise all the given information.

Paper #1118347 has the title `Even with Arbitrary Transfer Functions, RCC Cannot Compute Certain FSA  
` and the abstract `Category: algorithms and architectures | recurrent networks. No part of this paper has been submitted elsewhere. Preference: poster. Abstract Existing proofs demonstrating the computational limitations of the Recurrent Cascade Correlation (RCC) Network (Fahlman, 1991) explicitly limit their results to units having sigmoidal or hard-threshold transfer functions (Giles et al., 1995; and Kremer, 1996). The proof given here shows that, for any given finite, discrete, deterministic transfer function used by the units of an RCC network, there are finite-state automata (FSA) that the network cannot model, no matter how many units are used. The proof applies equally well to continuous transfer functions with a finite number of fixed-points, such as the sigmoid function.
`.
Question: Which category should Paper #1118347 be classified as ?
You can select one from ['Neural_Networks', 'Case_Based', 'Theory', 'Reinforcement_Learning', 'Probabilistic_Methods', 'Rule_Learning', 'Genetic_Algorithms'].


Paper #1118347 has the title `Even with Arbitrary Transfer Functions, RCC Cannot Compute Certain FSA  
` and the abstract `Category: algorithms and architectures | recurrent networks. No part of this paper has been submitted elsewhere. Preference: poster. Abstract Existing proofs demonstrating the computational limitations of the Recurrent Cascade Correlation (RCC) Network (Fahlman, 1991) explicitly limit their results to units having sigmoidal or hard-threshold transfer functions (Giles et al., 1995; and Kremer, 1996). The proof given here shows that, for any given finite, discrete, deterministic transfer function used by the units of an RCC network, there are finite-state automata (FSA) that the network cannot model, no matter how many units are used. The proof applies equally well to continuous transfer functions with a finite number of fixed-points, such as the sigmoid function.
`.
Question: Which category should Paper #1118347 be classified as ?
You can select one from ['Neural_Networks', 'Case_Based', 'Theory', 'Reinforcement_Learning', 'Probabilistic_Methods', 'Rule_Learning', 'Genetic_Algorithms'].

This paper should be classified into: Neural_Networks