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Combinatorial generalization - the ability to understand and produce novel combinations of already familiar elements - is considered to be a core capacity of the human mind and a major challenge to neural network models. A significant body…

Artificial Intelligence · Computer Science 2019-09-24 Ivan Vankov , Jeffrey Bowers

Navigating the complexities of physics reasoning has long been a difficult task for Large Language Models (LLMs), requiring a synthesis of profound conceptual understanding and adept problem-solving techniques. In this study, we investigate…

Computation and Language · Computer Science 2025-07-04 Nifu Dan , Yujun Cai , Yiwei Wang

Abstractive text summarization is a highly difficult problem, and the sequence-to-sequence model has shown success in improving the performance on the task. However, the generated summaries are often inconsistent with the source content in…

Computation and Language · Computer Science 2018-05-11 Bingzhen Wei , Xuancheng Ren , Xu Sun , Yi Zhang , Xiaoyan Cai , Qi Su

A system of nested dichotomies is a method of decomposing a multi-class problem into a collection of binary problems. Such a system recursively splits the set of classes into two subsets, and trains a binary classifier to distinguish…

Machine Learning · Statistics 2016-07-06 Tim Leathart , Bernhard Pfahringer , Eibe Frank

Automated mathematical reasoning is a challenging problem that requires an agent to learn algebraic patterns that contain long-range dependencies. Two particular tasks that test this type of reasoning are (1) mathematical equation…

Machine Learning · Computer Science 2021-04-08 Ankur Mali , Alexander Ororbia , Daniel Kifer , C. Lee Giles

Some of the strongest evidence that human minds should be thought about in terms of symbolic systems has been the way they combine ideas, produce novelty, and learn quickly. We argue that modern neural networks -- and the artificial…

Artificial Intelligence · Computer Science 2025-08-11 Thomas L. Griffiths , Brenden M. Lake , R. Thomas McCoy , Ellie Pavlick , Taylor W. Webb

We investigate the problem of transforming an input sequence into a high-dimensional output sequence in order to transcribe polyphonic audio music into symbolic notation. We introduce a probabilistic model based on a recurrent neural…

Machine Learning · Computer Science 2012-12-11 Nicolas Boulanger-Lewandowski , Yoshua Bengio , Pascal Vincent

The Symbolic Regression (SR) problem, where the goal is to find a regression function that does not have a pre-specified form but is any function that can be composed of a list of operators, is a hard problem in machine learning, both…

Machine Learning · Computer Science 2020-06-15 Vernon Austel , Cristina Cornelio , Sanjeeb Dash , Joao Goncalves , Lior Horesh , Tyler Josephson , Nimrod Megiddo

Computational models of pragmatic language use have traditionally relied on hand-specified sets of utterances and meanings, limiting their applicability to real-world language use. We propose a neuro-symbolic framework that enhances…

Computation and Language · Computer Science 2025-06-03 Polina Tsvilodub , Robert D. Hawkins , Michael Franke

Compositional generalization is a crucial property in artificial intelligence, enabling models to handle novel combinations of known components. While most deep learning models lack this capability, certain models succeed in specific tasks,…

Machine Learning · Computer Science 2025-05-06 Yuanpeng Li

General logical reasoning, defined as the ability to reason deductively on domain-agnostic tasks, continues to be a challenge for large language models (LLMs). Current LLMs fail to reason deterministically and are not interpretable. As…

Artificial Intelligence · Computer Science 2025-08-06 Michael K. Chen

Neural network models often generalize poorly to mismatched domains or distributions. In NLP, this issue arises in particular when models are expected to generalize compositionally, that is, to novel combinations of familiar words and…

Computation and Language · Computer Science 2021-11-10 Wang Zhu , Peter Shaw , Tal Linzen , Fei Sha

The current state-of-the-art in many natural language processing and automated knowledge base completion tasks is held by representation learning methods which learn distributed vector representations of symbols via gradient-based…

Neural and Evolutionary Computing · Computer Science 2017-12-29 Tim Rocktäschel

Large language models (LLMs) make remarkable progress in reasoning tasks. Among different reasoning modes, inductive reasoning, due to its better alignment with human learning, attracts increasing interest. However, research on inductive…

Computation and Language · Computer Science 2025-10-17 Kedi Chen , Zhikai Lei , Xu Guo , Xuecheng Wu , Siyuan Zeng , Jianghao Yin , Yinqi Zhang , Qin Chen , Jie Zhou , Liang He , Qipeng Guo , Kai Chen , Wei Zhang

Textual content around us is growing on a daily basis. Numerous articles are being written as we speak on online newspapers, blogs, or social media. Similarly, recent advances in the AI field, like language models or traditional classic AI…

Computation and Language · Computer Science 2023-07-18 Nicos Isaak

Diagrammatic reasoning (DR) is pervasive in human problem solving as a powerful adjunct to symbolic reasoning based on language-like representations. The research reported in this paper is a contribution to building a general purpose DR…

Artificial Intelligence · Computer Science 2014-01-17 Bonny Banerjee , B. Chandrasekaran

Symbolic models are abstract descriptions of continuous systems in which symbols represent aggregates of continuous states. In the last few years there has been a growing interest in the use of symbolic models as a tool for mitigating…

Optimization and Control · Mathematics 2007-07-31 Giordano Pola , Paulo Tabuada

Bilingual mathematical problem solving needs a clear link between language reasoning and symbolic calculation. Large language models often handle language well but are weak in accurate computation. This paper presents HERALD (Hybrid…

Artificial Intelligence · Computer Science 2025-12-23 Peiqing Lu , Yuan Zhang , Haoyun Zhang , Jiasen Zheng , Kejian Tong , Wenjun Wu

A big challenge in algorithmic composition is to devise a model that is both easily trainable and able to reproduce the long-range temporal dependencies typical of music. Here we investigate how artificial neural networks can be trained on…

Machine Learning · Statistics 2016-06-24 Florian Colombo , Samuel P. Muscinelli , Alexander Seeholzer , Johanni Brea , Wulfram Gerstner

Historically, the Natural Language Processing area has been given too much attention by many researchers. One of the main motivation beyond this interest is related to the word prediction problem, which states that given a set words in a…

Computation and Language · Computer Science 2018-03-05 Henrique X. Goulart , Mauro D. L. Tosi , Daniel Soares Gonçalves , Rodrigo F. Maia , Guilherme A. Wachs-Lopes