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Curriculum learning (CL), motivated by the intuition that learning in increasing order of difficulty should ease generalization, is commonly adopted both in pre-training and post-training of large language models (LLMs). The intuition of CL…

计算与语言 · 计算机科学 2026-03-31 Maximilian Mordig , Andreas Opedal , Weiyang Liu , Bernhard Schölkopf

The flipped classroom technique has recently been a focus of attention for many math instructors and pedagogical researchers. Although research on the subject has greatly increased in recent years, it is still debated whether the flipped…

历史与综述 · 数学 2020-10-23 Adeli Hutton

Curriculum learning and imitation learning have been leveraged extensively in the robotics domain. However, minimal research has been done on leveraging these ideas on control tasks over highly stochastic time-series data. Here, we…

机器学习 · 计算机科学 2024-01-17 Woosung Koh , Insu Choi , Yuntae Jang , Gimin Kang , Woo Chang Kim

What are the effects of authoritarian regimes on scholarly research in economics? And how might economic theory survive ideological pressures? The article addresses these questions by focusing on the mathematization of economics over the…

历史与综述 · 数学 2024-07-22 Ivan Boldyrev

We describe the new field of mathematical analysis of deep learning. This field emerged around a list of research questions that were not answered within the classical framework of learning theory. These questions concern: the outstanding…

机器学习 · 计算机科学 2023-02-09 Julius Berner , Philipp Grohs , Gitta Kutyniok , Philipp Petersen

Academic lobification refers to a collection of academic performance control strategies, methods, and means that a student deliberately hides academic behaviors, or deliberately lowers academic performance, or deliberately delays academic…

计算机与社会 · 计算机科学 2021-11-29 Shudong Yang

We discuss issues of problem formulation for algorithms in real algebraic geometry, focussing on quantifier elimination by cylindrical algebraic decomposition. We recall how the variable ordering used can have a profound effect on both…

符号计算 · 计算机科学 2014-06-26 Matthew England

Despite the effort put into the detection of academic plagiarism, it continues to be a ubiquitous problem spanning all disciplines. Various tools have been developed to assist human inspectors by automatically identifying suspicious…

信息检索 · 计算机科学 2018-01-26 Maurice-Roman Isele

In this paper, some real-world motivated examples are provided illustrating the power of linear algebra tools as the product of matrices, determinants, eigenvalues and eigenvectors. In this sense, some practical applications related to…

历史与综述 · 数学 2022-02-23 Vittoria Bonanzinga

Statistics experiences a storm around the perceived misuse and possible abuse of its methods in the context of the so-called reproducibility crisis. The methods and styles of quantification practiced in mathematical modelling rarely make it…

统计方法学 · 统计学 2019-08-20 Andrea Saltelli

Mathematical programming is a branch of applied mathematics and has recently been used to derive new decoding approaches, challenging established but often heuristic algorithms based on iterative message passing. Concepts from mathematical…

信息论 · 计算机科学 2014-04-29 Michael Helmling , Stefan Ruzika , Akin Tanatmis

Computer Science education has been evolving over the years to reflect applied realities. Until about a decade ago, theory of computation, algorithm design and system software dominated the curricula. Most courses were considered core and…

计算机与社会 · 计算机科学 2022-08-10 Sreekrishnan Venkateswaran

The ability to read, write, and speak mathematics is critical to students becoming comfortable with statistical models and skills. Faster development of those skills may act as encouragement to further engage with the discipline. Vocabulary…

其他统计学 · 统计学 2025-07-08 Tess O'Brien

The learning of mathematics starts early but remains far from any theoretical considerations: pupils' mathematical knowledge is first rooted in pragmatic evidence or conforms to procedures taught. However, learners develop a knowledge which…

历史与综述 · 数学 2014-03-28 Nicolas Balacheff

We develop a linear-algebraic framework for dimensional analysis in systems with constraints, particularly when variables are numerous or related by implicit relations so that direct elimination is impractical. By expressing both…

数学物理 · 物理学 2026-03-31 Umpei Miyamoto

Much of the research done by modern physicists would be impossible without the use of computation. And yet, while computation is a crucial tool of practicing physicists, physics curricula do not generally reflect its importance and utility.…

物理教育 · 物理学 2015-06-15 Marcos D. Caballero , Steven J. Pollock

This paper explores the impact of active learning in mathematical economics on students' academic performance (assessment scores). An experimental design involving foundation students enrolled in the arts and business and management…

历史与综述 · 数学 2023-11-23 P. K. Ng , N. Karjanto

This article is a part of the report for the research project ``Reform of the Course System and Teaching Content of Higher Mathematics (For Non-Mathematical Specialties)'' in 1995, supported by the National Ministry of Education. There are…

历史与综述 · 数学 2007-05-23 Shutie Xiao

Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

人工智能 · 计算机科学 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

This article presents a source list to support departments in creating more equitable, diverse, and inclusive mathematics classrooms. Included are relevant general-interest books, as well as articles and books presenting research results…

历史与综述 · 数学 2024-02-27 Deborah Kent , Emilie Aebischer , Stuart Neave