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We present Hybrid-Cooperative Learning (HYCO), a hybrid modeling framework that iteratively integrates physics-based and data-driven models through a mutual regularization mechanism. Unlike traditional approaches that impose physical…

Optimization and Control · Mathematics 2025-09-18 Lorenzo Liverani , Matthys Steynberg , Enrique Zuazua

System and software design benefits greatly from formal modeling, allowing for automated analysis and verification early in the design phase. Current methods excel at checking information flow and component interactions, ensuring…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Candice Chambers , Summer Mueller , Parth Ganeriwala , Chiradeep Sen , Siddhartha Bhattacharyya

Learning representations of algorithms is an emerging area of machine learning, seeking to bridge concepts from neural networks with classical algorithms. Several important works have investigated whether neural networks can effectively…

Current conceptions of expert problem solving depict physical/conceptual reasoning and formal mathematical reasoning as separate steps: a good problem solver first translates a physical Current conceptions of quantitative problem-solving…

Physics Education · Physics 2013-12-09 Eric Kuo , Michael M. Hull , Ayush Gupta , Andrew Elby

Large Language Models (LLMs) are playing an increasingly important role in physics research by assisting with symbolic manipulation, numerical computation, and scientific reasoning. However, ensuring the reliability, transparency, and…

Artificial Intelligence · Computer Science 2025-08-19 Yinggan Xu , Hana Kimlee , Yijia Xiao , Di Luo

Explaining observed phenomena through symbolic, interpretable formulas is a fundamental goal of science. Recently, large language models (LLMs) have emerged as promising tools for symbolic equation discovery, owing to their broad domain…

Artificial Intelligence · Computer Science 2026-02-26 Jianke Yang , Ohm Venkatachalam , Mohammad Kianezhad , Sharvaree Vadgama , Rose Yu

Multi-view visual reasoning is essential for intelligent systems that must understand complex environments from sparse and discrete viewpoints, yet existing research has largely focused on single-image or temporally dense video settings. In…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Fucai Ke , Zhixi Cai , Boying Li , Long Chen , Beibei Lin , Weiqing Wang , Pari Delir Haghighi , Gholamreza Haffari , Hamid Rezatofighi

Information retrieval has long focused on ranking documents by semantic relatedness. Yet many real-world information needs demand more: enforcement of logical constraints, multi-step inference, and synthesis of multiple pieces of evidence.…

Information Retrieval · Computer Science 2026-02-04 Mohanna Hoveyda , Panagiotis Efstratiadis , Arjen de Vries , Maarten de Rijke

Numerical reasoning is often important to accurately understand the world. Recently, several format-specific datasets have been proposed, such as numerical reasoning in the settings of Natural Language Inference (NLI), Reading Comprehension…

Computation and Language · Computer Science 2020-05-19 Swaroop Mishra , Arindam Mitra , Neeraj Varshney , Bhavdeep Sachdeva , Chitta Baral

The recent advances in reinforcement learning have led to effective methods able to obtain above human-level performances in very complex environments. However, once solved, these environments become less valuable, and new challenges with…

Machine Learning · Computer Science 2022-10-20 Alessandro Palmas

By providing substantial amounts of data and standardized evaluation protocols, datasets in computer vision have helped fuel advances across all areas of visual recognition. But even in light of breakthrough results on recent benchmarks, it…

Computer Vision and Pattern Recognition · Computer Science 2018-07-06 Brandon RichardWebster , Samuel E. Anthony , Walter J. Scheirer

Logic reasoning in natural language has been recognized as an important measure of human intelligence for Large Language Models (LLMs). Popular benchmarks may entangle multiple reasoning skills and thus provide unfaithful evaluations on the…

Computation and Language · Computer Science 2025-09-29 Tsz Ting Chung , Lemao Liu , Mo Yu , Dit-Yan Yeung

Reasoning on large and complex real-world models is a computationally difficult task, yet one that is required for effective use of many AI applications. A plethora of inference algorithms have been developed that work well on specific…

Artificial Intelligence · Computer Science 2016-06-13 Avi Pfeffer , Brian Ruttenberg , William Kretschmer

Machine learning is poised as a very powerful tool that can drastically improve our ability to carry out scientific research. However, many issues need to be addressed before this becomes a reality. This article focuses on one particular…

Computational Physics · Physics 2020-06-05 Weinan E , Jiequn Han , Linfeng Zhang

Psychlab is a simulated psychology laboratory inside the first-person 3D game world of DeepMind Lab (Beattie et al. 2016). Psychlab enables implementations of classical laboratory psychological experiments so that they work with both human…

Physics-informed neural networks (PINNs) represent a new paradigm for solving partial differential equations (PDEs) by integrating physical laws into the learning process of neural networks. However, ensuring that such frameworks fully…

Machine Learning · Computer Science 2025-12-12 Nanxi Chen , Sifan Wang , Rujin Ma , Airong Chen , Chuanjie Cui

Partial Differential Equations (PDEs) have long been recognized as powerful tools for image processing and analysis, providing a framework to model and exploit structural and geometric properties inherent in visual data. Over the years,…

Image and Video Processing · Electrical Eng. & Systems 2024-12-17 Alejandro Garnung Menéndez

Scientists who study how the brain solves problems have recently verified that, because of stringent limitations in working memory, where the brain solves problems, students must apply facts and algorithms that have previously been well…

Physics Education · Physics 2021-02-17 JudithAnn R. Hartman , Eric A. Nelson

This work is concerned with discovering the governing partial differential equation (PDE) of a physical system. Existing methods have demonstrated the PDE identification from finite observations but failed to maintain satisfying results…

Numerical Analysis · Mathematics 2023-02-09 Pongpisit Thanasutives , Takashi Morita , Masayuki Numao , Ken-ichi Fukui

We present the Neural Physics Engine (NPE), a framework for learning simulators of intuitive physics that naturally generalize across variable object count and different scene configurations. We propose a factorization of a physical scene…

Artificial Intelligence · Computer Science 2017-03-07 Michael B. Chang , Tomer Ullman , Antonio Torralba , Joshua B. Tenenbaum