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Related papers: Solving General Arithmetic Word Problems

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In this paper, we develop a framework to obtain graph abstractions for decision-making by an agent where the abstractions emerge as a function of the agent's limited computational resources. We discuss the connection of the proposed…

Robotics · Computer Science 2021-02-22 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

Solving algebra story problems remains a challenging task in artificial intelligence, which requires a detailed understanding of real-world situations and a strong mathematical reasoning capability. Previous neural solvers of math word…

Computation and Language · Computer Science 2020-12-29 Yining Hong , Qing Li , Ran Gong , Daniel Ciao , Siyuan Huang , Song-Chun Zhu

This work wishes to support various mathematical issues concerning the iterative methods with the help of new programming languages. We consider a way to show how problems in math have an answer by using different academic resources and…

Mathematical Software · Computer Science 2009-05-29 Claudiu Chirilov

Search-optimization problems are plentiful in scientific and engineering domains. Artificial intelligence has long contributed to the development of search algorithms and declarative programming languages geared toward solving and modeling…

Artificial Intelligence · Computer Science 2023-03-22 Yuliya Lierler

Sentence splitting is a major simplification operator. Here we present a simple and efficient splitting algorithm based on an automatic semantic parser. After splitting, the text is amenable for further fine-tuned simplification operations.…

Computation and Language · Computer Science 2018-10-12 Elior Sulem , Omri Abend , Ari Rappoport

We present a survey of results on word equations in simple groups, as well as their analogues and generalizations, which were obtained over the past decade using various methods, group-theoretic and coming from algebraic and arithmetic…

Algebraic Geometry · Mathematics 2013-02-20 Tatiana Bandman , Shelly Garion , Boris Kunyavskii

This paper deals with the representation and solution of asymmetric Bayesian decision problems. We present a formal framework, termed asymmetric influence diagrams, that is based on the influence diagram and allows an efficient…

Artificial Intelligence · Computer Science 2013-01-18 Thomas D. Nielsen , Finn Verner Jensen

In this survey, we address the worst-case, average-case, and generic-case time complexity of the word problem and some other algorithmic problems in several classes of groups and show that it is often the case that the average-case…

Group Theory · Mathematics 2024-01-18 Vladimir Shpilrain

The theory of finite term algebras provides a natural framework to describe the semantics of functional languages. The ability to efficiently reason about term algebras is essential to automate program analysis and verification for…

Logic in Computer Science · Computer Science 2016-11-10 Laura Kovacs , Simon Robillard , Andrei Voronkov

We introduce a novel task consisting in assigning a proof to a given mathematical statement. The task is designed to improve the processing of research-level mathematical texts. Applying Natural Language Processing (NLP) tools to research…

Computation and Language · Computer Science 2021-02-04 Maximin Coavoux , Shay B. Cohen

Many academic journals ask their authors to provide a list of about five to fifteen keywords, to appear on the first page of each article. Since these key words are often phrases of two or more words, we prefer to call them keyphrases.…

Machine Learning · Computer Science 2007-05-23 Peter D. Turney

We propose a new methodology to develop heuristic algorithms using tree decompositions. Traditionally, such algorithms construct an optimal solution of the given problem instance through a dynamic programming approach. We modify this…

Data Structures and Algorithms · Computer Science 2023-10-26 Louis Carpentier , Jorik Jooken , Jan Goedgebeur

We consider automatically identifying the defined term within a mathematical definition from the text of an academic article. Inspired by the development of transformer-based natural language processing applications, we pose the problem as…

Artificial Intelligence · Computer Science 2023-11-22 Shufan Jiang , Pierre Senellart

We proposed a framework for solving inverse problems in differential equations based on neural networks and automatic differentiation. Neural networks are used to approximate hidden fields. We analyze the source of errors in the framework…

Numerical Analysis · Mathematics 2024-12-20 Kailai Xu , Eric Darve

We present a system capable of automatically solving combinatorial logic puzzles given in (simplified) English. It involves translating the English descriptions of the puzzles into answer set programming(ASP) and using ASP solvers to…

Computation and Language · Computer Science 2011-08-22 Chitta Baral , Juraj Dzifcak

Digital learning platforms enable students to learn on a flexible and individual schedule as well as providing instant feedback mechanisms. The field of STEM education requires students to solve numerous training exercises to grasp…

Computation and Language · Computer Science 2021-10-01 Stanley Uros Keller

The branching algorithm is a fundamental technique for designing fast exponential-time algorithms to solve combinatorial optimization problems exactly. It divides the entire solution space into independent search branches using…

Optimization and Control · Mathematics 2024-12-11 Xuan-Zhao Gao , Yi-Jia Wang , Pan Zhang , Jin-Guo Liu

Can we do arithmetic in a completely different way, with a radically different data structure? Could this approach provide practical benefits, like operations on giant numbers while having an average performance similar to traditional…

Programming Languages · Computer Science 2013-01-03 Paul Tarau

{\em Reoptimization} is a setting in which we are given an (near) optimal solution of a problem instance and a local modification that slightly changes the instance. The main goal is that of finding an (near) optimal solution of the…

Data Structures and Algorithms · Computer Science 2018-05-01 Davide Bilò

As the development of distributed systems progresses, more and more challenges arise and the need for developing optimized systems and for optimizing existing systems from multiple perspectives becomes more stringent. In this paper I…

Data Structures and Algorithms · Computer Science 2009-03-21 Mugurel Ionut Andreica