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As powerful as machine learning (ML) techniques are in solving problems involving data with large dimensionality, explaining the results from the fitted parameters remains a challenging task of utmost importance, especially in physics…

Disordered Systems and Neural Networks · Physics 2024-04-15 Roberto C. Alamino

We develop a self-supervised ensemble learning (SSEL) method to accurately classify distinct types of phase transitions by analyzing the fluctuation properties of machine learning outputs. Employing the 2D Potts model and the 2D Clock model…

Statistical Mechanics · Physics 2023-10-27 Chi-Ting Ho , Daw-Wei Wang

Recent automatic curriculum learning algorithms, and in particular Teacher-Student algorithms, rely on the notion of learning progress, making the assumption that the good next tasks are the ones on which the learner is making the fastest…

Machine Learning · Computer Science 2020-08-17 Lucas Willems , Salem Lahlou , Yoshua Bengio

With the development of artificial intelligence, personalized learning has attracted much attention as an integral part of intelligent education. In recent years, countries and regions such as China, the United States, and the European…

Computers and Society · Computer Science 2026-01-29 Siyu Wu , Yang Cao , Runze Li , Jiajun Cui , Hong Qian , Bo Jiang , Wei Zhang

At computer modeling of process of training it is usually supposed that all elements of a training material are forgotten with an identical speed. But in practice that knowledge which are included in educational activity of the pupil are…

Computers and Society · Computer Science 2014-01-14 Robert V. Mayer

The Keller-Segel system describes the collective motion of cells that are attracted by a chemical substance and are able to emit it. In its simplest form, it is a conservative drift-diffusion equation for the cell density coupled to an…

Analysis of PDEs · Mathematics 2010-10-29 Adrien Blanchet , Jean Dolbeault , Miguel Escobedo , Javier Fernández

The paper that follows describes a numerical algorithm to solve the parabolic-parabolic Keller--Segel system characterized by singular sensitivity and signal absorption in such a manner that the numerical approximations converge towards a…

Numerical Analysis · Mathematics 2026-04-01 Juan Vicente Gutiérrez-Santacreu

Students in online courses generate large amounts of data that can be used to personalize the learning process and improve quality of education. In this paper, we present the Latent Skill Embedding (LSE), a probabilistic model of students…

Machine Learning · Computer Science 2016-02-24 Siddharth Reddy , Igor Labutov , Thorsten Joachims

The averaged learning equation (ALEH) applicable to the principal component analyzer is studied from both quantum information geometry and dynamical system viewpoints. On the quantum information space (QIS), the space of regular density…

Dynamical Systems · Mathematics 2014-03-25 Yoshio Uwano , Hiromi Yuya

This article presents a partial differential equation (PDE) of Keller-Segel (KS) type that reproduces patterns commonly observed during the growth of brain microvasculature. We provide mathematical insights into the mechanisms underlying…

Dynamical Systems · Mathematics 2026-05-04 B Ambrosio , A Garroudji , S. Fitzsimons , H Zaag , F. M. Elahi

Intelligent tutoring systems optimize the selection and timing of learning materials to enhance understanding and long-term retention. This requires estimates of both the learner's progress (''knowledge tracing''; KT), and the prerequisite…

Machine Learning · Computer Science 2024-03-21 Hanqi Zhou , Robert Bamler , Charley M. Wu , Álvaro Tejero-Cantero

This paper presents a work-in-progress on a learn-ing system that will provide robotics students with a personalized learning environment. This addresses both the scarcity of skilled robotics instructors, particularly in community colleges…

In this paper, we analyse how learning is measured and optimized in Educational Recommender Systems (ERS). In particular, we examine the target metrics and evaluation methods used in the existing ERS research, with a particular focus on the…

Human-Computer Interaction · Computer Science 2024-07-16 Nursultan Askarbekuly , Ivan Luković

The study explores the potential of AI technologies in personalized learning, suggesting the prediction of academic success through leadership personality traits and machine learning modelling. The primary data were obtained from 129…

Artificial Intelligence · Computer Science 2025-10-24 Nitsa J Herzog , Rejwan Bin Sulaiman , David J Herzog , Rose Fong

This paper proposes a linear categorical random coefficient model, in which the random coefficients follow parametric categorical distributions. The distributional parameters are identified based on a linear recurrence structure of moments…

Econometrics · Economics 2023-03-01 Zhan Gao , M. Hashem Pesaran

Class-incremental learning (CIL) aims to adapt to emerging new classes without forgetting old ones. Traditional CIL models are trained from scratch to continually acquire knowledge as data evolves. Recently, pre-training has achieved…

Machine Learning · Computer Science 2024-08-06 Da-Wei Zhou , Zi-Wen Cai , Han-Jia Ye , De-Chuan Zhan , Ziwei Liu

To enhance student learning, we demonstrate an experimental study to analyze student learning outcomes in online and in-class sections of a core data communications course of the Undergraduate IT program in the Information Sciences and…

Physics Education · Physics 2017-12-15 Pouyan Ahmadi , Khondkar Islam. Salman Yousaf

With the rapid development of big data and AI technology, programming is in high demand and has become an essential skill for students. Meanwhile, researchers also focus on boosting the online judging system's guidance ability to reduce…

Computers and Society · Computer Science 2024-03-25 Yingfan Liu , Renyu Zhu , Ming Gao

Artemis is an interactive learning system that organizes courses, hosts lecture content and interactive exercises, conducts exams, and creates automatic assessments with individual feedback. Research shows that students have unique…

Computers and Society · Computer Science 2023-09-25 Maximilian Sölch , Moritz Aberle , Stephan Krusche

We investigate a new structure for machine learning classifiers applied to problems in high-energy physics by expanding the inputs to include not only measured features but also physics parameters. The physics parameters represent a…

High Energy Physics - Experiment · Physics 2016-05-25 Pierre Baldi , Kyle Cranmer , Taylor Faucett , Peter Sadowski , Daniel Whiteson