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Chain-of-Thought (CoT) training has markedly advanced the reasoning capabilities of large language models (LLMs), yet the mechanisms by which CoT training enhances generalization remain inadequately understood. In this work, we demonstrate…

Machine Learning · Computer Science 2026-02-13 Xinhao Yao , Ruifeng Ren , Yun Liao , Lizhong Ding , Yong Liu

We describe an implementation of a hybrid statistical/symbolic approach to repairing parser failures in a speech-to-speech translation system. We describe a module which takes as input a fragmented parse and returns a repaired meaning…

cmp-lg · Computer Science 2008-02-03 Carolyn Penstein Rose' , Alex Waibel

The ability to think abstractly and reason by analogy is a prerequisite to rapidly adapt to new conditions, tackle newly encountered problems by decomposing them, and synthesize knowledge to solve problems comprehensively. We present…

Artificial Intelligence · Computer Science 2024-10-08 Jakub Bednarek , Krzysztof Krawiec

Flexible neural sequence models outperform grammar- and automaton-based counterparts on a variety of tasks. However, neural models perform poorly in settings requiring compositional generalization beyond the training data -- particularly to…

Computation and Language · Computer Science 2021-06-09 Ekin Akyürek , Afra Feyza Akyürek , Jacob Andreas

Systematic generalization refers to the capacity to understand and generate novel combinations from known components. Despite recent progress by large language models (LLMs) across various domains, these models often fail to extend their…

Artificial Intelligence · Computer Science 2026-02-27 Philipp Mondorf , Shijia Zhou , Monica Riedler , Barbara Plank

To what extent can a neural network systematically reason over symbolic facts? Evidence suggests that large pre-trained language models (LMs) acquire some reasoning capacity, but this ability is difficult to control. Recently, it has been…

Computation and Language · Computer Science 2020-11-17 Alon Talmor , Oyvind Tafjord , Peter Clark , Yoav Goldberg , Jonathan Berant

A number of machine learning models have been proposed with the goal of achieving systematic generalization: the ability to reason about new situations by combining aspects of previous experiences. These models leverage compositional…

Machine Learning · Computer Science 2024-09-24 Devon Jarvis , Richard Klein , Benjamin Rosman , Andrew M. Saxe

Neurosymbolic AI is an increasingly active area of research that combines symbolic reasoning methods with deep learning to leverage their complementary benefits. As knowledge graphs are becoming a popular way to represent heterogeneous and…

Artificial Intelligence · Computer Science 2025-01-13 Lauren Nicole DeLong , Ramon Fernández Mir , Jacques D. Fleuriot

Chain-of-thought prompting has demonstrated remarkable performance on various natural language reasoning tasks. However, it tends to perform poorly on tasks which requires solving problems harder than the exemplars shown in the prompts. To…

Artificial Intelligence · Computer Science 2023-04-18 Denny Zhou , Nathanael Schärli , Le Hou , Jason Wei , Nathan Scales , Xuezhi Wang , Dale Schuurmans , Claire Cui , Olivier Bousquet , Quoc Le , Ed Chi

We outline a new algorithm to solve coupled systems of differential equations in one continuous variable $x$ (resp. coupled difference equations in one discrete variable $N$) depending on a small parameter $\epsilon$: given such a system…

Symbolic Computation · Computer Science 2014-07-11 Johannes Bluemlein , Abilio De Freitas , Carsten Schneider

Sequence modeling with neural networks has lead to powerful models of symbolic music data. We address the problem of exploiting these models to reach creative musical goals, by combining with human input. To this end we generalise previous…

Artificial Intelligence · Computer Science 2017-10-03 Christian Walder , Dongwoo Kim

Constraint programming is known for being an efficient approach for solving combinatorial problems. Important design choices in a solver are the branching heuristics, which are designed to lead the search to the best solutions in a minimum…

Artificial Intelligence · Computer Science 2024-04-17 Tom Marty , Tristan François , Pierre Tessier , Louis Gauthier , Louis-Martin Rousseau , Quentin Cappart

In complex inferential tasks like question answering, machine learning models must confront two challenges: the need to implement a compositional reasoning process, and, in many applications, the need for this reasoning process to be…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Ronghang Hu , Jacob Andreas , Trevor Darrell , Kate Saenko

Current language models have demonstrated their capability to develop basic reasoning, but struggle in more complicated reasoning tasks that require a combination of atomic skills, such as math word problem requiring skills like arithmetic…

Machine Learning · Computer Science 2024-03-15 Yuncheng Huang , Qianyu He , Yipei Xu , Jiaqing Liang , Yanghua Xiao

The challenges of solving complex university-level mathematics problems, particularly those from MIT, and Columbia University courses, and selected tasks from the MATH dataset, remain a significant obstacle in the field of artificial…

Computation and Language · Computer Science 2025-09-23 Eishkaran Singh , Tanav Singh Bajaj , Siddharth Nayak

Systematic compositionality is the ability to recombine meaningful units with regular and predictable outcomes, and it's seen as key to humans' capacity for generalization in language. Recent work has studied systematic compositionality in…

Computation and Language · Computer Science 2018-07-20 João Loula , Marco Baroni , Brenden M. Lake

Analogical Reasoning problems challenge both connectionist and symbolic AI systems as these entail a combination of background knowledge, reasoning and pattern recognition. While symbolic systems ingest explicit domain knowledge and perform…

Artificial Intelligence · Computer Science 2022-09-20 Vishwa Shah , Aditya Sharma , Gautam Shroff , Lovekesh Vig , Tirtharaj Dash , Ashwin Srinivasan

Symbolic regression is a machine learning technique that can learn the governing formulas of data and thus has the potential to transform scientific discovery. However, symbolic regression is still limited in the complexity and…

Machine Learning · Computer Science 2023-05-30 Michael Zhang , Samuel Kim , Peter Y. Lu , Marin Soljačić

Recently, there has been a surge of interest in combining deep learning models with reasoning in order to handle more sophisticated learning tasks. In many cases, a reasoning task can be solved by an iterative algorithm. This algorithm is…

Machine Learning · Computer Science 2020-11-02 Xinshi Chen , Yufei Zhang , Christoph Reisinger , Le Song

Cylindrical Algebraic Decomposition (CAD) is a key tool in computational algebraic geometry, best known as a procedure to enable Quantifier Elimination over real-closed fields. However, it has a worst case complexity doubly exponential in…

Symbolic Computation · Computer Science 2019-11-25 Zongyan Huang , Matthew England , David Wilson , James H. Davenport , Lawrence C. Paulson
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