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Any act of problem-solving combines prior knowledge, local search, and a third element that is less often discussed: the extraction of information from search to update understanding. I propose a model of mathematical problem-solving as a…

History and Overview · Mathematics 2026-03-11 Asvin G

The process of scientific discovery relies on an interplay of observations, analysis, and hypothesis generation. Machine learning is increasingly being adopted to address individual aspects of this process. However, it remains an open…

Artificial Intelligence · Computer Science 2026-05-26 Maximilian Nägele , Florian Marquardt

Researchers usually come up with new ideas only after thoroughly comprehending vast quantities of literature. The difficulty of this procedure is exacerbated by the fact that the number of academic publications is growing exponentially. In…

Computation and Language · Computer Science 2023-06-06 Yi Xu , Shuqian Sheng , Bo Xue , Luoyi Fu , Xinbing Wang , Chenghu Zhou

How did humanity coax mathematics from the aether? We explore the Platonic view that mathematics can be discovered from its axioms - a game of conjecture and proof. We describe Minimo (Mathematics from Intrinsic Motivation): an agent that…

Artificial Intelligence · Computer Science 2024-11-06 Gabriel Poesia , David Broman , Nick Haber , Noah D. Goodman

Concept discovery is one of the open problems in the interpretability literature that is important for bridging the gap between non-deep learning experts and model end-users. Among current formulations, concepts defines them by as a…

Machine Learning · Computer Science 2022-02-11 Adrianna Janik , Kris Sankaran

Multi-agent robotic systems are increasingly operating in real-world environments in close proximity to humans, yet are largely controlled by policy models with inscrutable deep neural network representations. We introduce a method for…

Machine Learning · Computer Science 2023-02-24 Renos Zabounidis , Joseph Campbell , Simon Stepputtis , Dana Hughes , Katia Sycara

LLMs have made significant progress in complex but easy-to-verify problems, yet they still struggle with discovering the unknown. In this paper, we present \textbf{AlphaResearch}, an autonomous research agent designed to discover new…

Computation and Language · Computer Science 2026-04-02 Zhaojian Yu , Kaiyue Feng , Yilun Zhao , Shilin He , Xiao-Ping Zhang , Arman Cohan

The study of system complexity primarily has two objectives: to explore underlying patterns and to develop theoretical explanations. Pattern exploration seeks to clarify the mechanisms behind the emergence of system complexity, while…

Multiagent Systems · Computer Science 2026-02-18 Xiao Xue , Deyu Zhou , Ming Zhang , Xiangning Yu , Fei-Yue Wang

We envision a continuous collaborative learning system where groups of LLM agents work together to solve reasoning problems, drawing on memory they collectively build to improve performance as they gain experience. This work establishes the…

Artificial Intelligence · Computer Science 2025-03-11 Julie Michelman , Nasrin Baratalipour , Matthew Abueg

Humans tame the complexity of mathematical reasoning by developing hierarchies of abstractions. With proper abstractions, solutions to hard problems can be expressed concisely, thus making them more likely to be found. In this paper, we…

Artificial Intelligence · Computer Science 2022-11-17 Zhening Li , Gabriel Poesia , Omar Costilla-Reyes , Noah Goodman , Armando Solar-Lezama

Modeling agent behavior is central to understanding the emergence of complex phenomena in multiagent systems. Prior work in agent modeling has largely been task-specific and driven by hand-engineering domain-specific prior knowledge. We…

Multiagent Systems · Computer Science 2018-08-02 Aditya Grover , Maruan Al-Shedivat , Jayesh K. Gupta , Yura Burda , Harrison Edwards

As large language models (LLMs) advance their mathematical capabilities toward the IMO level, the scarcity of challenging, high-quality problems for training and evaluation has become a significant bottleneck. Simultaneously, recent code…

Computation and Language · Computer Science 2026-03-05 Dadi Guo , Yuejin Xie , Qingyu Liu , Jiayu Liu , Zhiyuan Fan , Qihan Ren , Shuai Shao , Tianyi Zhou , Dongrui Liu , Yi R. Fung

I postulate that human or other intelligent agents function or should function as follows. They store all sensory observations as they come - the data is holy. At any time, given some agent's current coding capabilities, part of the data is…

Artificial Intelligence · Computer Science 2007-09-06 Juergen Schmidhuber

Artificial intelligence is reshaping scientific exploration, but most methods automate procedural tasks without engaging in scientific reasoning, limiting autonomy in discovery. We introduce Materials Agents for Simulation and Theory in…

We introduce a multi-agent meta-modeling game to generate data, knowledge, and models that make predictions on constitutive responses of elasto-plastic materials. We introduce a new concept from graph theory where a modeler agent is tasked…

Machine Learning · Computer Science 2020-04-15 Kun Wang , WaiChing Sun , Qiang Du

Whether in groups of humans or groups of computer agents, collaboration is most effective between individuals who have the ability to coordinate on a joint strategy for collective action. However, in general a rational actor will only…

Artificial Intelligence · Computer Science 2016-02-15 Peter M. Krafft , Chris L. Baker , Alex Pentland , Joshua B. Tenenbaum

In decision support systems, it is essential to get a candidate solution fast, even if it means resorting to an approximation. This constraint introduces a scalability requirement with regard to the kind of heuristics which can be used in…

Multiagent Systems · Computer Science 2014-05-22 D. Krzywicki , Ł. Faber , A. Byrski , M. Kisiel-Dorohinicki

The objective of this chapter is to propose some retrospective analysis of the evolution of programming abstractions, from {\em procedures}, {\em objects}, {\em actors}, {\em components}, {\em services}, up to {\em agents}, %have some…

Software Engineering · Computer Science 2024-01-19 Jean-Pierre Briot

According to the principle of polyrepresentation, retrieval accuracy may improve through the combination of multiple and diverse information object representations about e.g. the context of the user, the information sought, or the retrieval…

Information Retrieval · Computer Science 2017-04-07 Christina Lioma , Birger Larsen , Peter Ingwersen

Since first introduced, computer simulation has been an increasingly important tool in evolutionary linguistics. Recently, with the development of deep learning techniques, research in grounded language learning has also started to focus on…

Computation and Language · Computer Science 2019-10-14 Shangmin Guo , Yi Ren , Serhii Havrylov , Stella Frank , Ivan Titov , Kenny Smith
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