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High-dimensional tensor models are notoriously computationally expensive to train. We present a meta-learning algorithm, MMT, that can significantly speed up the process for spatial tensor models. MMT leverages the property that spatial…

Machine Learning · Computer Science 2018-03-01 Stephan Zheng , Rose Yu , Yisong Yue

From the latter half of the last decade, there has been a growing interest in developing algorithms for automatically solving mathematical word problems (MWP). It is a challenging and unique task that demands blending surface level text…

Computation and Language · Computer Science 2022-06-01 Sowmya S Sundaram , Sairam Gurajada , Marco Fisichella , Deepak P , Savitha Sam Abraham

AI for Mathematics (AI4Math) has emerged as a distinct field that leverages machine learning to navigate mathematical landscapes historically intractable for early symbolic systems. While mid-20th-century symbolic approaches successfully…

History and Overview · Mathematics 2026-05-05 Haocheng Ju , Bin Dong

Boolean satisfiability (SAT) is a fundamental NP-complete problem with many applications, including automated planning and scheduling. To solve large instances, SAT solvers have to rely on heuristics, e.g., choosing a branching variable in…

Artificial Intelligence · Computer Science 2023-07-19 Mikhail Shirokikh , Ilya Shenbin , Anton Alekseev , Sergey Nikolenko

Inequality proving, crucial across diverse scientific and mathematical fields, tests advanced reasoning skills such as discovering tight bounds and strategic theorem application. This makes it a distinct, demanding frontier for large…

Artificial Intelligence · Computer Science 2025-12-16 Pan Lu , Jiayi Sheng , Luna Lyu , Jikai Jin , Tony Xia , Alex Gu , James Zou

Math word problems form a natural abstraction to a range of quantitative reasoning problems, such as understanding financial news, sports results, and casualties of war. Solving such problems requires the understanding of several…

Computation and Language · Computer Science 2017-12-29 Subhro Roy , Dan Roth

#SMT, or model counting for logical theories, is a well-known hard problem that generalizes such tasks as counting the number of satisfying assignments to a Boolean formula and computing the volume of a polytope. In the realm of…

Logic in Computer Science · Computer Science 2015-10-30 Dmitry Chistikov , Rayna Dimitrova , Rupak Majumdar

Strategies based on Explainable Artificial Intelligence - XAI have emerged in computing to promote a better understanding of predictions made by black box models. Most XAI measures used today explain these types of models, generating…

Machine Learning · Computer Science 2021-11-18 José Ribeiro , Raíssa Silva , Lucas Cardoso , Ronnie Alves

Solving mathematical word problems (MWPs) automatically is challenging, primarily due to the semantic gap between human-readable words and machine-understandable logics. Despite the long history dated back to the1960s, MWPs have regained…

Computation and Language · Computer Science 2019-04-30 Dongxiang Zhang , Lei Wang , Luming Zhang , Bing Tian Dai , Heng Tao Shen

The research of machine learning (ML) algorithms for human activity recognition (HAR) has made significant progress with publicly available datasets. However, most research prioritizes statistical metrics over examining negative sample…

Machine Learning · Computer Science 2024-12-13 Daniel Geissler , Dominique Nshimyimana , Vitor Fortes Rey , Sungho Suh , Bo Zhou , Paul Lukowicz

State-of-the-art language models can match human performance on many tasks, but they still struggle to robustly perform multi-step mathematical reasoning. To diagnose the failures of current models and support research, we introduce GSM8K,…

Currently, data and model size dominate the narrative in the training of super-large, powerful models. However, there has been a lack of exploration on the effect of other attributes of the training dataset on model performance. We…

Machine Learning · Computer Science 2025-01-22 Kavita Selva , Satita Vittayaareekul , Brando Miranda

Current LLM training positions mathematical reasoning as a core capability. With publicly available sources fully tapped, there is unmet demand for diverse and challenging math questions. Relying solely on human experts is both…

Artificial Intelligence · Computer Science 2025-02-04 Vedant Shah , Dingli Yu , Kaifeng Lyu , Simon Park , Jiatong Yu , Yinghui He , Nan Rosemary Ke , Michael Mozer , Yoshua Bengio , Sanjeev Arora , Anirudh Goyal

Scaling high-quality tutoring remains a major challenge in education. Due to growing demand, many platforms employ novice tutors who, unlike experienced educators, struggle to address student mistakes and thus fail to seize prime learning…

Computation and Language · Computer Science 2024-04-09 Rose E. Wang , Qingyang Zhang , Carly Robinson , Susanna Loeb , Dorottya Demszky

Neural network-based machine learning is capable of approximating functions in very high dimension with unprecedented efficiency and accuracy. This has opened up many exciting new possibilities, not just in traditional areas of artificial…

Numerical Analysis · Mathematics 2020-12-30 Weinan E

The high-quality translation results produced by machine translation (MT) systems still pose a huge challenge for automatic evaluation. Current MT evaluation pays the same attention to each sentence component, while the questions of…

Computation and Language · Computer Science 2021-08-02 Runzhe Zhan , Xuebo Liu , Derek F. Wong , Lidia S. Chao

Mathematical reasoning is a cornerstone of artificial general intelligence and a primary benchmark for evaluating the capabilities of Large Language Models (LLMs). While state-of-the-art models show promise, they often falter when faced…

Computation and Language · Computer Science 2025-07-29 Yifan Hao , Fangning Chao , Yaqian Hao , Zhaojun Cui , Huan Bai , Haiyu Zhang , Yankai Liu , Chao Deng , Junlan Feng

There is a practically unlimited amount of natural language data available. Still, recent work in text comprehension has focused on datasets which are small relative to current computing possibilities. This article is making a case for the…

Computation and Language · Computer Science 2016-10-05 Ondrej Bajgar , Rudolf Kadlec , Jan Kleindienst

Recent supervised fine-tuning (SFT) approaches have significantly improved language models' performance on mathematical reasoning tasks, even when models are trained at a small scale. However, the specific capabilities enhanced through such…

Artificial Intelligence · Computer Science 2026-01-12 Yiyou Sun , Georgia Zhou , Haoyue Bai , Hao Wang , Dacheng Li , Nouha Dziri , Dawn Song

Can machine learning help discover new mathematical structures? In this article we discuss an approach to doing this which one can call "mathematical data science". In this paradigm, one studies mathematical objects collectively rather than…

History and Overview · Mathematics 2025-02-14 Michael R. Douglas , Kyu-Hwan Lee