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Scientific Machine Learning (SciML) is a recently emerged research field which combines physics-based and data-driven models for the numerical approximation of differential problems. Physics-based models rely on the physical understanding…

Numerical Analysis · Mathematics 2025-04-04 Alfio Quarteroni , Paola Gervasio , Francesco Regazzoni

Large Language Models (LLMs) are rapidly advancing across diverse domains, yet their application in theoretical physics remains inadequate. While current models show competence in mathematical reasoning and code generation, we identify…

Computation and Language · Computer Science 2026-03-13 Sirui Lu , Zhijing Jin , Terry Jingchen Zhang , Pavel Kos , J. Ignacio Cirac , Bernhard Schölkopf

Mechanical reasoning is a hallmark of human intelligence, defined by its ubiquitous yet irreplaceable role in human activities ranging from routine tasks to civil engineering. Embedding machines with mechanical reasoning is therefore an…

Artificial Intelligence · Computer Science 2025-08-14 Haoran Sun , Qingying Gao , Haiyun Lyu , Dezhi Luo , Yijiang Li , Hokin Deng

Existing benchmarks fail to capture a crucial aspect of intelligence: physical reasoning, the integrated ability to combine domain knowledge, symbolic reasoning, and understanding of real-world constraints. To address this gap, we introduce…

Compared to physics-based computational manufacturing, data-driven models such as machine learning (ML) are alternative approaches to achieve smart manufacturing. However, the data-driven ML's "black box" nature has presented a challenge to…

Machine Learning · Computer Science 2024-07-16 Rahul Sharma , Maziar Raissi , Y. B. Guo

Scientific machine learning (SciML) models are transforming many scientific disciplines. However, the development of good modeling practices to increase the trustworthiness of SciML has lagged behind its application, limiting its potential…

Machine Learning · Computer Science 2025-04-29 John D. Jakeman , Lorena A. Barba , Joaquim R. R. A. Martins , Thomas O'Leary-Roseberry

With the continuous advancement of reasoning abilities in Large Language Models (LLMs), their application to scientific reasoning tasks has gained significant research attention. Current research primarily emphasizes boosting LLMs'…

Artificial Intelligence · Computer Science 2026-05-19 Zhaoxin Yu , Nan Xu , Kun Chen , Jiahao Zhao , Lei Wang , Wenji Mao

This paper motivates why Real-Time Maude should be well suited to provide a formal semantics and formal analysis capabilities to modeling languages for embedded systems. One can then use the code generation facilities of the tools for the…

Logic in Computer Science · Computer Science 2011-07-04 Peter Csaba Ölveczky

This study presents a comprehensive overview of PIML techniques in the context of condition monitoring. The central concept driving PIML is the incorporation of known physical laws and constraints into machine learning algorithms, enabling…

Machine Learning · Computer Science 2024-01-23 Yuandi Wu , Brett Sicard , Stephen Andrew Gadsden

Recent Large Multimodal Models have demonstrated remarkable reasoning capabilities, especially in solving complex mathematical problems and realizing accurate spatial perception. Our key insight is that these emerging abilities can…

Artificial Intelligence · Computer Science 2025-05-20 Weiliang Tang , Dong Jing , Jia-Hui Pan , Zhiwu Lu , Yun-Hui Liu , Li Erran Li , Mingyu Ding , Chi-Wing Fu

Physics problems constitute a significant aspect of reasoning, necessitating complicated reasoning ability and abundant physics knowledge. However, existing large language models (LLMs) frequently fail due to a lack of knowledge or…

Computation and Language · Computer Science 2024-12-19 Xinyu Pang , Ruixin Hong , Zhanke Zhou , Fangrui Lv , Xinwei Yang , Zhilong Liang , Bo Han , Changshui Zhang

Modeling the logical architecture is an often underestimated development step to gain an early insight into the fundamental functional properties of an automotive system. An architectural description supports developers in making design…

Software Engineering · Computer Science 2014-09-24 Hans Grönninger , Jochen Hartmann , Holger Krahn , Stefan Kriebel , Lutz Rothhart , Bernhard Rumpe

Large Language Models (LLMs) have shown impressive performance in domains such as mathematics and programming, yet their capabilities in physics remain underexplored and poorly understood. Physics poses unique challenges that demand not…

Reasoning is essential for closed-domain QA systems in which procedural correctness and policy compliance are critical. While large language models (LLMs) have shown strong performance on many reasoning tasks, recent work reveals that their…

Artificial Intelligence · Computer Science 2025-09-16 Tuan Bui , An Nguyen , Phat Thai , Minh Hua , Ngan Pham L. N. , Ngan Pham T. B. , Dung Le , Long Nguyen , Thanh-Tung Tran , Thang Bui , Tho Quan

As Vision-Language Models (VLMs) grow in sophistication, their ability to perform reasoning is coming under increasing supervision. While they excel at many tasks, their grasp of fundamental scientific principles, such as physics, remains…

Machine Learning · Computer Science 2025-09-11 Pranav Pawar , Kavish Shah , Akshat Bhalani , Komal Kasat , Dev Mittal , Hadi Gala , Deepali Patil , Nikita Raichada , Monali Deshmukh

This article describes a volumetric approach for procedural shape modeling and a new Procedural Shape Modeling Language (PSML) that facilitates the specification of these models. PSML provides programmers the ability to describe shapes in…

Graphics · Computer Science 2021-03-23 Andrew Willis , Prashant Ganesh , Kyle Volle , Jincheng Zhang , Kevin Brink

We introduce a novel dataset designed to benchmark the physical and spatial reasoning capabilities of Large Language Models (LLM) based on topology optimization, a method for computing optimal material distributions within a design space…

Artificial Intelligence · Computer Science 2026-02-06 Philipp D. Siedler

Applying dynamic logics to program verifications is a challenge, because their axiomatic rules for regular expressions can be difficult to be adapted to different program models. We present a novel dynamic logic, called DLp, which supports…

Logic in Computer Science · Computer Science 2026-02-11 Yuanrui Zhang

Large language models (LLMs) achieve promising performance, yet their ability to reason remains poorly understood. Existing evaluations largely emphasize task-level accuracy, often conflating pattern matching with reasoning capability. We…

Artificial Intelligence · Computer Science 2026-03-06 Gao Tianxi , Cai Yufan , Yuan Yusi , Dong Jin Song

Physical reasoning is a core aspect of intelligence in animals and humans. A central question is what model should be used as a basis for reasoning. Existing work considered models ranging from intuitive physics and physical simulators to…

Robotics · Computer Science 2020-07-07 Marc Toussaint , Jung-Su Ha , Danny Driess