English
Related papers

Related papers: Semi-Autonomous Mathematics Discovery with Gemini:…

200 papers

The rapid evolution of artificial intelligence (AI), especially in the domain of Large Language Models (LLMs) and generative AI, has opened new avenues for application across various fields, yet its role in business education remains…

Computation and Language · Computer Science 2024-01-09 Vahid Ashrafimoghari , Necdet Gürkan , Jordan W. Suchow

AI chatbots are increasingly used by students as study tools in physics, raising practical questions about their reliability on conceptual tasks. Existing evaluations of large language models (LLMs) on physics concept inventories rely…

Physics Education · Physics 2026-05-12 Eugenio Tufino , Caterina Giovanzana , Andrea Zamboni , Pasquale Onorato , Stefano Oss

Anomaly detection is being regarded as an unsupervised learning task as anomalies stem from adversarial or unlikely events with unknown distributions. However, the predictive performance of purely unsupervised anomaly detection often fails…

Machine Learning · Computer Science 2014-01-27 Nico Goernitz , Marius Micha Kloft , Konrad Rieck , Ulf Brefeld

This research introduces a novel evaluation framework designed to assess large language models' (LLMs) ability to acknowledge uncertainty on 675 fundamentally unsolvable problems. Using a curated dataset of graduate-level grand challenge…

Computation and Language · Computer Science 2024-11-25 David Noever , Forrest McKee

This work treats the paradigm discovery problem (PDP), the task of learning an inflectional morphological system from unannotated sentences. We formalize the PDP and develop evaluation metrics for judging systems. Using currently available…

Computation and Language · Computer Science 2020-05-05 Alexander Erdmann , Micha Elsner , Shijie Wu , Ryan Cotterell , Nizar Habash

The increasing deployment of large language models (LLMs) in safety-critical applications raises fundamental challenges in systematically evaluating robustness against adversarial behaviors. Existing red-teaming practices are largely manual…

There is an increasing interest in applying recent advances in AI to automated reasoning, as it may provide useful heuristics in reasoning over formalisms in first-order, second-order, or even meta-logics. To facilitate this research, we…

Logic in Computer Science · Computer Science 2020-05-07 Elijah Malaby , Bradley Dragun , John Licato

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

Forecasting future events is highly valuable in decision-making and is a robust measure of general intelligence. As forecasting is probabilistic, developing and evaluating AI forecasters requires generating large numbers of diverse and…

Machine Learning · Computer Science 2026-03-11 Nikos I. Bosse , Peter Mühlbacher , Jack Wildman , Lawrence Phillips , Dan Schwarz

This survey examines the rapidly evolving field of Deep Research systems -- AI-powered applications that automate complex research workflows through the integration of large language models, advanced information retrieval, and autonomous…

Artificial Intelligence · Computer Science 2025-06-17 Renjun Xu , Jingwen Peng

Intelligent tutoring systems have long enabled automated immediate feedback on student work when it is presented in a tightly structured format and when problems are very constrained, but reliably assessing free-form mathematical reasoning…

Computers and Society · Computer Science 2026-01-08 Aron Gohr , Marie-Amelie Lawn , Kevin Gao , Inigo Serjeant , Stephen Heslip

Standard automatic methods for recognizing problematic development commits can be greatly improved via the incremental application of human+artificial expertise. In this approach, called EMBLEM, an AI tool first explore the software…

Software Engineering · Computer Science 2020-04-08 Huy Tu , Zhe Yu , Tim Menzies

We report new results on eight problems in mathematics and theoretical computer science, produced with the assistance of Bolzano, an open-source multi-agent LLM system. Bolzano orchestrates rounds of interaction between parallel prover…

Computation and Language · Computer Science 2026-04-27 Martin Balko , Jan Grebík , Pavel Hubáček , Martin Koutecký , Matěj Kripner , Václav Rozhoň , Robert Šámal , Adrián Zámečník

This study introduces an evaluation benchmark for middle school algebra to be used in artificial intelligence(AI) based educational platforms. The goal is to support the design of AI systems that can enhance learner conceptual understanding…

Human-Computer Interaction · Computer Science 2024-12-06 Otero Nancy , Druga Stefania , Lan Andrew

Recent advances in generative artificial intelligence (AI) have shown promise in accurately grading open-ended student responses. However, few prior works have explored grading handwritten responses due to a lack of data and the challenge…

Computers and Society · Computer Science 2024-12-13 Adriana Caraeni , Alexander Scarlatos , Andrew Lan

We consider semigroup algorithmic problems in finitely generated metabelian groups. Our paper focuses on three decision problems introduced by Choffrut and Karhum\"{a}ki (2005): the Identity Problem (does a semigroup contain a neutral…

Group Theory · Mathematics 2023-04-26 Ruiwen Dong

Tenfold improvements in computation speed can be brought to the alternating direction method of multipliers (ADMM) for Semidefinite Programming with virtually no decrease in robustness and provable convergence simply by projecting…

Optimization and Control · Mathematics 2021-12-28 Nikitas Rontsis , Paul J. Goulart , Yuji Nakatsukasa

We present an unsupervised approach for discovering semantic representations of mathematical equations. Equations are challenging to analyze because each is unique, or nearly unique. Our method, which we call equation embeddings, finds good…

Machine Learning · Statistics 2018-03-28 Kriste Krstovski , David M. Blei

The philosophy of mathematical practice (PMP) looks to evidence from working mathematics to help settle philosophical questions. One prominent program under the PMP banner is the study of explanation in mathematics, which aims to understand…

History and Overview · Mathematics 2025-07-08 William D'Alessandro

One promising approach to dealing with datapoints that are outside of the initial training distribution (OOD) is to create new classes that capture similarities in the datapoints previously rejected as uncategorizable. Systems that generate…

Machine Learning · Computer Science 2020-02-25 Jeremy Nixon , Jeremiah Liu , David Berthelot