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Spatial puzzles composed of rigid objects, flexible strings and holes offer interesting domains for reasoning about spatial entities that are common in the human daily-life's activities. The goal of this work is to investigate the automated…

To support large-scale model training, split learning (SL) enables multiple edge devices/servers to share the intensive training workload. However, most existing works on SL focus solely on two-tier model splitting. Moreover, while some…

网络与互联网体系结构 · 计算机科学 2025-09-19 Wei Wei , Zheng Lin , Tao Li , Xuanheng Li , Xianhao Chen

Mathematical software systems are becoming more and more important in pure and applied mathematics in order to deal with the complexity and scalability issues inherent in mathematics. In the last decades we have seen a cambric explosion of…

Mathematical Program Networks (MPNs) are introduced in this work. An MPN is a collection of interdependent Mathematical Programs (MPs) which are to be solved simultaneously, while respecting the connectivity pattern of the network defining…

最优化与控制 · 数学 2024-04-24 Forrest Laine

Using SCM higher mathematics course allows you to: more clearly understandable apply theoretical material; deprive students of routine calculations; provide multilevel learning process, and therefore enhances cognitive interest and most…

物理教育 · 物理学 2018-12-04 Kateryna Slovak , Maiia Popel

Signal Processing (SP) and Machine Learning (ML) rely on good math and coding knowledge, in particular, linear algebra, probability, trigonometry, and complex numbers. A good grasp of these relies on scalar algebra learned in middle school.…

历史与综述 · 数学 2025-03-10 Namrata Vaswani , Mohamed Y. Selim , Renee Serrell Gibert

While computer and communication technologies have provided effective means to scale up many aspects of education, the submission and grading of assessments such as homework assignments and tests remains a weak link. In this paper, we study…

机器学习 · 统计学 2015-01-20 Andrew S. Lan , Divyanshu Vats , Andrew E. Waters , Richard G. Baraniuk

In this chapter, I discuss teaching mathematical tools specifically tailored for economics students. A typical one-semester course in this area seeks to blend a range of topics: from foundational elements of subjects such as linear algebra…

历史与综述 · 数学 2025-05-30 Eric Hillebrand

Our aim is to explain mathematical programs with equilibrium constraints (MPECs), motivate them through applications, present the main equivalent formulations of equilibrium constraints, and summarize the basic existence theory for optimal…

最优化与控制 · 数学 2026-05-04 Louis Shuo Wang

Math word problem (MWP) solving aims to understand the descriptive math problem and calculate the result, for which previous efforts are mostly devoted to upgrade different technical modules. This paper brings a different perspective of…

计算与语言 · 计算机科学 2023-11-21 Yi Bin , Wenhao Shi , Yujuan Ding , Yang Yang , See-Kiong Ng

Mathematical reasoning would be one of the next frontiers for artificial intelligence to make significant progress. The ongoing surge to solve math word problems (MWPs) and hence achieve better mathematical reasoning ability would continue…

计算与语言 · 计算机科学 2021-11-11 Keyur Faldu , Amit Sheth , Prashant Kikani , Manas Gaur , Aditi Avasthi

A pedagogical approach of problem-based learning with embedded librarianship in several undergraduate mathematics courses is implemented in this educational research. The students are assigned to work on several projects on various…

历史与综述 · 数学 2015-04-08 N. Karjanto , M. Kairatbekkyzy , J. Agee

Solutions to the Algorithm Selection Problem (ASP) in machine learning face the challenge of high computational costs associated with evaluating various algorithms' performances on a given dataset. To mitigate this cost, the meta-learning…

机器学习 · 计算机科学 2025-09-12 Cynthia Moreira Maia , Lucas B. V. de Amorim , George D. C. Cavalcanti , Rafael M. O. Cruz

This paper describes a novel perspective on the foundations of mathematics: how mathematics may be seen to be largely about 'information compression via the matching and unification of patterns' (ICMUP). ICMUP is itself a novel approach to…

人工智能 · 计算机科学 2018-10-10 J Gerard Wolff

This article reviews the current state of teaching and learning mathematical modeling in the context of sustainable development goals for education at the tertiary level. While ample research on mathematical modeling education and published…

历史与综述 · 数学 2023-07-26 N. Karjanto

The ability to express scientific concepts in mathematical terms and integrate scientific and mathematical reasoning about a phenomenon is a foundational cognitive process involved in scientific thinking. This process called blended…

物理教育 · 物理学 2023-05-24 Leonora Kaldaras , Carl Wieman

Problem-based learning (PBL) is a constructivist learner-centered instructional approach based on the analysis, resolution and discussion of a given problem. It can be applied to any subject, indeed it is especially useful for the teaching…

历史与综述 · 数学 2011-11-17 Marina Cazzola

Programming Language Processing (PLP) using machine learning has made vast improvements in the past few years. Increasingly more people are interested in exploring this promising field. However, it is challenging for new researchers and…

机器学习 · 计算机科学 2023-06-19 Patrick Flynn , Tristan Vanderbruggen , Chunhua Liao , Pei-Hung Lin , Murali Emani , Xipeng Shen

In the article the problems of the systems of computer mathematics use as a tool for the students learning and research activities support are investigated. The promising ways of providing access to the mathematical software in the…

计算机与社会 · 计算机科学 2018-07-04 Mariya Shyshkina , Uliana Kohut , Maiia Popel

Many mechanical engineering applications call for multiscale computational modeling and simulation. However, solving for complex multiscale systems remains computationally onerous due to the high dimensionality of the solution space.…

机器学习 · 计算机科学 2023-03-23 Phong C. H. Nguyen , Joseph B. Choi , H. S. Udaykumar , Stephen Baek
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