# Patent

## Title
System and method for accurate grammar analysis using a learners' model and part-of-speech tagged (POST) parser

## Abstract

An accurate grammar analyzer based on a so-called POST (part-of-speech tagged) parser and a learners' model for use in automated language learning applications such as the template-based ICALL (intelligent computer assisted language learning) system.

## Background
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention is related to the field of automated learning systems and, more particularly, to a part-of-speech tagged parser for use in an intelligent computer-assisted language learning (ICALL) system.
2. Description of the Related Art
Systems and methods for learning a second language have incorporated computer-assisted technology. Such computer-assisted systems may act to simulate a human teacher in diagnosing and coaching students as they learn to write in, for example, English. However, these systems lack at least two basic components needed for the pedagogical purposes of language learning, namely a grammar analyzer and a learners' model.
Due to context sensitive cases, under the current state of the art of natural language processing technology, it is not possible to provide syntactic analysis of arbitrary or ambiguous sentences in natural language with an acceptable accuracy of 95% or greater.
SUMMARY OF THE INVENTION
In view of the foregoing, one object of the present invention is to overcome the difficulties of accurately analyzing arbitrary or ambiguous sentences in natural languages using a computer-assisted system.
Another object of the invention is to provide an accurate grammatical analyzer for providing general grammar guidelines which are contingent on student inputs.
A further object of the invention is a parser with increased accuracy obtained by manually assigning a tag(s) to at least some of the ambiguous words in natural language.
Yet another object of the invention is a parser enabling a language student to obtain a syntactically bracketed grammar structure for a correct sentence in which student errors are noted in a parsed tree.
A still further object of the invention is a learners' model capable of recognizing frequently occurring grammatical errors by a particular student and of providing contingent remediation that exploits such frequently occurring errors so that correction is directed to the particular needs of the student.
In accordance with this and other objects, the present invention builds from a flexible intelligent computer-assisted language learning (ICALL) system which provides a realistic, implementable method for intelligent language tutoring of foreign languages, particularly second language composition and/or technical translation. Such a system is set forth in pending U.S. patent applications, Ser. Nos. 09/597,269 and 09/597,270 which applications are hereby incorporated herein by reference in their entirety.
The template-automaton-based ICALL system provides on-line tutoring capability for English composition which enables teachers to build in pedagogic contents and plan a learning strategy without any help from knowledge engineers. In the ICALL system, expertise in grammar analysis and grammatical remediation is extracted into the knowledge base of templates by language experts. In the referenced patent applications as incorporated herein, a robust algorithm is developed for bug identification by matching the input sentence against template paths. This algorithm is capable of predicting a most plausible incorrect sentence in view of the errors students commit, thereby generating the most contingent remediative feedback to student errors. This implies that, if an accurate parser capable of processing a well-formed sentence (s) can be provided, the parser can also be used to process the syntactically erroneous inputs by merely pointing out the differences. Yet, even for sentences that are grammatically correct, it is still necessary to develop a parser program that can consistently provide a correct grammar tree.
In the present invention, a part-of-speech tagged (POST) parser is constructed which is capable of providing an accurate grammar tree of a well-formed sentence(s) in the templates. To implement the POST parser scheme to the current template in the ICALL, the structure of the template is modified so that the part-of-speech tags may be added to any word or phrase in the correct nodes of the template. After adding necessary part-of-speech tags sufficient for disambiguation purpose into the template, some known probabilistic parsers may be used to obtain grammar trees of correct sentences in the templates, by ignoring the tagging process to the words or phrases that have been manually tagged by language experts. By using the so-called part-of-speech tagged parser, it is possible to modify the whole process of the ICALL system.
The present invention is further directed to a learners' model which, by identifying a “minimum syntactic subtree” or smallest grammar component of a relevant error, is effective in describing the grammar errors of an input sentence and may be used to maintain a historical record of each student describing a grammar error table together with its location visualized within the syntactic subtrees.
These and other objects of the invention, as well as many of the intended advantages thereof, will become more readily apparent when reference is made to the following description taken in conjunction with the accompanying drawings.



BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 shows an example of template structure after adding the part-of-speech tags to all the words in the correct nodes;
FIG. 2 provides the processing procedure of the template-based ICALL system enhanced by the POST parser providing a single input;
FIG. 3 is an example of the grammar remediation tree of an input sentence;
FIG. 4 shows an example of a user's syntactic error table;
FIG. 5 shows a grammar tree with the errors marked under the leaves; and
FIG. 6 shows an example of the process of maintaining a user's syntactic error table.



DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
In describing a preferred embodiment of the invention illustrated in the drawings, specific terminology will be resorted to for the sake of clarity. However, the invention is not intended to be limited to the specific terms so selected, and it is to be understood that each specific term includes all technical equivalents which operate in a similar manner to accomplish a similar purpose.
The POST parser according to the present invention involves a modification of the so-called corpus-based probabilistic parsers, whereby tags are pre-assigned and hence constraints are imposed on an unnecessarily large number of potential combinations of tag assignments in the part-of-speech tags of certain words or phrases. The present invention may be incorporated within the scheme of the Apple-Pie parser (Sekine, S. and Grishman, R (1996), “A Corpus-based Probabilistic Grammar with Only Two Non-Terminals”, 4th International Workshop on Parsing Technology, pp. 216–223), where a combination of the following formula is chosen to maximize the probability of the final grammar tree. The probability of a final grammar tree can be calculated as, 



  
    
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where Prulei denotes the probability of a rule to take on rulei, while P(tagj/wordj) is the probability of wordj to be assigned to part-of-speech tag tagj. It should be noted that the same word can be assigned to any of multiple, different part-of-speech tags.

Two major modifications are made to the algorithm of the Apple-Pie parser. First, any phrase preassigned with a POS tag is regarded as one word. Second, when preassigned, the probability of such words is always regarded as “1”.
FIG. 1 shows a typical template for an English translation of a Japanese sentence meaning, “Japan is dotted with beautiful gardens nationwide.” For the purposes of the following description, a given student's input sentence is, “Japan are dotted by beautiful gardens nationwide.” The numbers under each of the words denote weights assigned to the word representing its relative importance. The node with “(Nothing)” on is an empty node meaning that no word is needed. Typical part-of-speech tags may include the following:















DT:
Determiner
EX:
Existential


IN:
Preposition/Subord.
JJ:
Adjective



conjunction


NN:
Noun, singular or mass
NNS:
Noun, plural


NNP:
Proper noun, singular
RB:
Adverb


VBN:
Verb, past particle
VBP:
Verb, non-3rd ps. sing. present


VBZ:
Verb, 3rd ps. sing.



present









In addition to the particular part-of-speech tags, various error messages are also indicated. These include:
















AS:
an assumption has been made
AT:
the article is not needed



on the quantity of noun


CM:
a comma is needed
CT:
contraction is incorrect


MN:
meaning is incorrect
NP:
noun must be plural


PP:
phrase must be plural
PP:
preposition is incorrect


VA:
verb must be singular,



since subject is singular









The procedure for applying the POST parser in the template-automaton-based ICALL system for the individual remediation of syntactic errors is summarized in FIG. 2. More specifically, for the given student's input sentence, the method begins by reading a keyed-in sentence, step 100. The sentence is checked with a standard spell check model, and spelling errors are corrected, step 200. Template matching is then undertaken with the template matching algorithm set forth in the referenced patent applications, step 300. Using this algorithm, the best matched path having a highest similarity value with the sentence is selected, lexical error information is printed, and the score of the input sentence is calculated, step 310. Feedback information is also provided.
According to the error feedback information, the correct path in the template is identified, step 321. The POST parser is then applied to obtain a syntactically bracketed grammar structure for the correct path, step 322. The parsed tree of the correct path is then drawn, with the errors marked at the leaves of the relevant tree, step 323.
With particular reference to the template of FIG. 1, using the ICALL system the best-matched path can be found to be “Japan is dotted with beautiful parks nationwide.” Given this path, the system of the present invention is able to provide comments on lexical errors as well as remedial suggestions, step 310, through application of which the student's input sentence is corrected. Then in step 322 the POST parser obtains a syntactically bracketed grammar structure for the correct sentence: S(NPL(NNP(Japan)) VP(VBZ(is) VP(VBN(dotted) PP(IN(with) NP(NPL(JJ(beautiful) JJ(public) NNS(parks)) ADJP(JJ(nationwide))))))—PERIOD-(.)).
Finally, according to step 323 and as representatively shown in FIG. 3, the parsed tree of the correct path is drawn with the errors made by the student marked thereon. The errors may be marked in red within the relevant leaves of the grammar tree. In FIG. 3, the words “are”, “by” and “park” would be marked in red.
The present invention further provides a learners' model for the ICALL system, enabling an effective pedagogic tutoring strategy. The tree information representatively shown in FIG. 3 identifies what is called a Minimum Syntactic Subtree, namely a smallest grammar component of a relevant error(s). This is effective in describing the grammar errors of the input sentence. Each syntactic subtree can, of course, be expressed in a syntactically bracketed format. With the present invention it is possible to maintain the student's historical record using a grammar error table together with its location visualized within the syntactic subtrees (in syntactically bracketed format).
On the other hand, the HCS matching algorithm as set forth in U.S. patent application Ser. Nos. 09/597,269 and 09/597,270, is capable of providing a student proficiency level by evaluating the student's written English against the best-matched path of a model sentence in the template.
When combined with the information of the grammatical error location given in the tables of this invention, the system can recognize the most frequently recurring grammatical errors of each student, based on the proficiency level of each student. The system then provides a unique level of contingent remediation exploiting the most frequent grammatical errors of the student involved.
The learners' model according to the present invention provides a system and method for evaluating the proficiency level of a student's writing ability, recognizing grammatical errors, and providing proficiency level contingent feedback and remediation.
A. Evaluating Proficiency Level of Writing Ability
The HCS algorithm of the patent applications previously incorporated by reference allows a student's basic proficiency in writing to be evaluated by matching each input sentence with the template paths, where the score of the input sentence is calculated by: 



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The proficiency level of a student is decided by means of the scores of the most recent inputs. For example, students may be classified into three groups for evaluation, namely high level learners with mean scores greater than 0.9, low level learners with mean scores lower than 0.7, and middle level learners with scores between 0.7 and 0.9.

B. Grammar Error Recognition

As already noted, the present invention performs grammar error recognition on the basis of a Minimum Syntactic Subtree, which may be defined by example. Suppose a is the nearest ancestor of leaf b, which has at least two direct descendants. The set of trees including all the direct descendants of a, and the ancestors of b up to a, is called a Minimum Syntactic Subtree of leaf b. A syntactic error is defined as the minimum syntactic subtree of a leaf of the grammar tree that is matched with the words marked as errors.
The procedure of recording and correcting the syntactic errors detected is described hereinafter. First, obtain the grammar tree of the matched correct sentence in the template by the POST parser, and match the input sentence to leaves of the grammar tree. For each leaf l of the grammar tree that is matched with the words marked as errors, find the Minimum Syntactic Subtree of leaf l and associate l with the subtree. For all the subtrees found, combine those leaves that are associated with the same subtree, i.e., allow subtrees associated with more than one leaf. For each subtree with the associated leaves, search the user's syntactic error table and if there is a same subtree in the table, add “1” to the frequency field of the row and add all the leaves of the subtree into the associated leave field of the row, if any of the leaves is not registered in the field as yet. Conversely, if there is not a same subtree in the table, add the subtree as well as the associated leaves into the table, assigning “1” to the frequency field.
As a first example, a student's syntactic error table is shown in FIG. 4, where the first column records the syntactic subtrees, the second column records the associated leaves which correspond to errors of the syntactic subtrees, and the last column records the frequency of errors in the syntactic subtrees.
As a second example, suppose a student has inputted a sentence, “There are no disadvantage to this models” as a translation of the Japanese sentence, meaning, “There is no disadvantage to the model”, and the grammar tree shown in FIG. 5 is obtained. Locating the following two syntactic subtrees with error markers, the current system will keep the error records in the error table: VP(VBZ NP PP) with the associated leaf VBZ, and NP(DTNN) with the associated leaf NN.
Next, suppose that the current syntactic error table for user A is given as in FIG. 4. Since NP(DT NN) already exists in the table, we only add “1” in the frequency field of the corresponding field, and add NN in the associated leave field. Since VP(VBZ NP PP) is not in the table, we add VP(VBZ NP PP) in the table, with the associated leaf VBZ and assign “1” in the frequency field. The result is shown as FIG. 6.
C. Proficiency Level Contingent Feedback and Remediation
To complete the learners' model, the system needs to prepare several sets, for example three, of remediation materials or example sentences for each of the syntactic errors listed in the column of syntactic subtrees in a learner' syntactic error table, where each of the sets corresponds to a different level of learners. After completing a certain number of problem assignments, the system first finds the most frequent syntactic errors by sorting the frequency rows of the user's syntactic error table. Making use of averaged scores of a learner, an adequate level of prepared remedial materials is selected.
More particularly, suppose the following three different levels of remediation examples are prepared for the syntactic error: NP(DT NN) which are given in the order of difficulty:

    
    
        I have an apple.
        The computing resource is available in our university.
        There is enough reason to believe that a UFO had visited our city.
    
    


Suppose after completing the first 10 problems, one of the most frequent syntactic errors found is NP(DT NN); this is to be found by seeking a maximum of the last column of the user's syntactic error table. The system selects the most adequate remediation sentence of these three depending upon the learner's proficiency level.
The foregoing descriptions and drawings should be considered as illustrative only of the principles of the invention. The invention may be configured in a variety of shapes and sizes and is not limited by the dimensions of the preferred embodiment. Numerous applications of the present invention will readily occur to those skilled in the art. Therefore, it is not desired to limit the invention to the specific examples disclosed or the exact construction and operation shown and described. Rather, all suitable modifications and equivalents may be resorted to, falling within the scope of the invention.

## Claims

1. In a computer-assisted language learning system, a method for analyzing grammar and building a learners' model using a student's level of proficiency, comprising the steps of:
maintaining a syntactic error table for the student, said error table including a column listing syntactic subtrees with associated frequency fields;
determining a proficiency level of a student's writing ability using a sentence input by the student;
matching the input sentence to a correct sentence in a database template;
obtaining a grammar tree of the matched correct sentence;
matching the input sentence to leaves of the grammar tree;
for each leaf of the grammar tree that is matched with words marked as errors, finding a minimum syntactic subtree of the leaf and associating the leaf with said subtree;
for all the subtrees found, combining leaves associated with a common subtree;
for each common subtree, searching the syntactic error table for the common subtree; and
updating the table to reflect the common subtree.

2. The method as set forth in claim 1, said step of determining a proficiency level comprising the steps of:
determining a number of matched correct words in an input;
dividing the number of matched correct words by a length of said input to obtain an accuracy ratio;
dividing a weight of a matching algorithm by a weight of a matched path to obtain a weight ratio; and
multiplying the accuracy ratio and the weight ratio to obtain a proficiency level score.

3. The method as set forth in claim 1, wherein said matching algorithm is HCS matching algorithm.

4. The method as set forth in claim 1, said step of updating the table comprising the steps of:
incrementing, in response to finding the common subtree in the table, an associated frequency field by one; and
adding, in response to not finding the common subtree in the table, the common subtree as well as the associated leaves, to the table and assigning “1” to an associated frequency field.

5. The method as set forth in claim 2, further comprising the steps of:
sorting rows within said syntactic error table by said frequency fields to find most frequent syntactic errors; and
selecting a remediation set for the student based on the most frequent syntactic errors and the student's proficiency level score.