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We introduce a new abstraction for the representation and solution of multi-domain problems using finite element methods. This is an advance over previous work in that it achieves a single higher-level abstraction that represents…

Mathematical Software · Computer Science 2025-12-09 Koki Sagiyama , Lawrence Mitchell , David A. Ham

Student-to-student interactions are foundational to many active learning environments, but are most often studied using qualitative methods. Network analysis tools provide a quantitative complement to this picture, allowing researchers to…

Physics Education · Physics 2015-07-17 Adrienne L. Traxler

Concept-based explanations have emerged as a popular way of extracting human-interpretable representations from deep discriminative models. At the same time, the disentanglement learning literature has focused on extracting similar…

Machine Learning · Computer Science 2021-04-15 Dmitry Kazhdan , Botty Dimanov , Helena Andres Terre , Mateja Jamnik , Pietro Liò , Adrian Weller

Developing expert-like problem-solving skills is a central goal of undergraduate physics education. In this study, we investigate the impact of teaching explicit problem-solving frameworks, combined with deliberate practice, on students'…

Physics Education · Physics 2025-08-12 Kelly Miller , Olivia Miller , Georgia Lawrence

The modern engineering landscape increasingly requires a range of skills to successfully integrate complex systems. Project-based learning is used to help students build professional skills. However, it is typically applied to small teams…

Computers and Society · Computer Science 2014-10-28 Robert Margolies , Maria Gorlatova , John Sarik , Peter Kinget , Ioannis Kymissis , Gil Zussman

The linear inverse problem is fundamental to the development of various scientific areas. Innumerable attempts have been carried out to solve different variants of the linear inverse problem in different applications. Nowadays, the rapid…

Signal Processing · Electrical Eng. & Systems 2020-10-30 Yanna Bai , Wei Chen , Jie Chen , Weisi Guo

We discuss how a class of difficult kinematic problems can play an important role in an introductory course in stimulating students' reasoning on more complex physical situations. The problems presented here have an elementary analysis once…

Physics Education · Physics 2009-10-31 Oscar Bolina

This paper introduces a novel, generic active learning method for one-class classification. Active learning methods play an important role to reduce the efforts of manual labeling in the field of machine learning. Although many active…

Machine Learning · Computer Science 2019-01-11 Patrick Schlachter , Bin Yang

Given the importance of integrating of explainability into machine learning, at present, there are a lack of pedagogical resources exploring this. Specifically, we have found a need for resources in explaining how one can teach the…

Human-Computer Interaction · Computer Science 2022-02-22 Andreas Bueff , Ioannis Papantonis , Auste Simkute , Vaishak Belle

The inherent trade-off in on-line learning is between exploration and exploitation. A good balance between these two (conflicting) goals can achieve a better long-term performance. Can we define an optimal balance? We propose to study this…

Information Theory · Computer Science 2024-11-06 Ram Zamir , Kenneth Rose

The lecture "Atomistic Materials Modeling" is a core qualification of the master program "materials science" at the Hamburg University of Technology (TUHH). Within the lecture, various modern methods for atomistic materials modeling are…

Physics Education · Physics 2017-08-30 Gregor Feldbauer , Marcel Steffen

We implement a novel representation of model search spaces as diagrams over a category of models, where we have restricted attention to a broad class of models whose structure is presented by \C-sets. (Co)limits in these diagram categories…

Logic in Computer Science · Computer Science 2022-06-20 Kristopher Brown , Tyler Hanks , James Fairbanks

We investigate when a computable automorphism of a computable field can be effectively extended to a computable automorphism of its (computable) algebraic closure. We then apply our results and techniques to study effective embeddings of…

Logic · Mathematics 2019-08-15 Matthew Harrison-Trainor , Russell Miller , Alexander Melnikov

Instructors in introductory physics courses often use labs and demonstrations to reinforce that the physics equations introduced in lectures and textbooks describe what actually happens in the real world. The surface features and…

Physics Education · Physics 2019-06-03 Emily M. Smith , N. G. Holmes

Complex natural or engineered systems comprise multiple characteristic scales, multiple spatiotemporal domains, and even multiple physical closure laws. To address such challenges, we introduce an interface learning paradigm and put forth a…

Computational Physics · Physics 2020-11-18 Shady E. Ahmed , Omer San , Kursat Kara , Rami Younis , Adil Rasheed

To cope with real-world dynamics, an intelligent system needs to incrementally acquire, update, accumulate, and exploit knowledge throughout its lifetime. This ability, known as continual learning, provides a foundation for AI systems to…

Machine Learning · Computer Science 2024-02-07 Liyuan Wang , Xingxing Zhang , Hang Su , Jun Zhu

Causal learning has garnered significant attention in recent years because it reveals the essential relationships that underpin phenomena and delineates the mechanisms by which the world evolves. Nevertheless, traditional causal learning…

Machine Learning · Computer Science 2024-07-31 Zizhen Deng , Xiaolong Zheng , Hu Tian , Daniel Dajun Zeng

Grouping has been commonly used in deep metric learning for computing diverse features. However, current methods are prone to overfitting and lack interpretability. In this work, we propose an improved and interpretable grouping method to…

Computer Vision and Pattern Recognition · Computer Science 2021-08-26 Xinyi Xu , Zhengyang Wang , Cheng Deng , Hao Yuan , Shuiwang Ji

In-context learning is a popular inference strategy where large language models solve a task using only a few labeled demonstrations without needing any parameter updates. Although there have been extensive studies on English in-context…

Computation and Language · Computer Science 2024-06-10 Miaoran Zhang , Vagrant Gautam , Mingyang Wang , Jesujoba O. Alabi , Xiaoyu Shen , Dietrich Klakow , Marius Mosbach

This article discusses the design of the Apprenticeship Program at the Fields Institute, held 21 August - 3 September 2016. Six themes from combinatorial algebraic geometry were selected for the two weeks: curves, surfaces, Grassmannians,…

Algebraic Geometry · Mathematics 2016-12-13 Bernd Sturmfels