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Constructivists (and intuitionists in general) asked what kind of mental construction is needed to convince ourselves (and others) that some mathematical statement is true. This question has a much more practical (and even cynical)…

History and Overview · Mathematics 2023-06-01 Alexander Shen

How do LLMs decide what to teach next: by reasoning about a learner's knowledge, or by using simpler rules of thumb? We test this in a controlled task previously used to study human teaching strategies. On each trial, a teacher LLM sees a…

Artificial Intelligence · Computer Science 2026-04-03 Sevan K. Harootonian , Mark K. Ho , Thomas L. Griffiths , Yael Niv , Ilia Sucholutsky

Meta learning is a promising solution to few-shot learning problems. However, existing meta learning methods are restricted to the scenarios where training and application tasks share the same out-put structure. To obtain a meta model…

Machine Learning · Computer Science 2019-04-22 Yingtian Zou , Jiashi Feng

With limited time available in the classroom, e-learning tools can supplement in-class learning by providing opportunities for students to study and learn outside of class. Such tools can be especially helpful for students who lack adequate…

Physics Education · Physics 2020-08-05 Emily Marshman , Seth DeVore , Chandralekha Singh

A common way of learning to perform a task is to observe how it is carried out by experts. However, it is well known that for most tasks there is no unique way to perform them. This is especially noticeable the more complex the task is…

Artificial Intelligence · Computer Science 2024-04-04 David Nieves , María José Ramírez-Quintana , Carlos Monserrat , César Ferri , José Hernández-Orallo

In this article, a new model based on techniques of differential equations is introduced to predict the athletic performance based training load and a data sample of the physical form of athletes arises. This model is an extension of the…

Classical Analysis and ODEs · Mathematics 2016-12-28 Marcos Matabuena , Rosana Rodriguez

A system responding to a stochastic driving signal can be interpreted as computing, by means of its dynamics, an implicit model of the environmental variables. The system's state retains information about past environmental fluctuations,…

Statistical Mechanics · Physics 2012-10-09 Susanne Still , David A. Sivak , Anthony J. Bell , Gavin E. Crooks

In this work, we propose a simple and computationally efficient framework for evaluating whether machine learning models align with the structure of the data they learn from; that is, whether the model says what the data says. Unlike…

Machine Learning · Computer Science 2026-04-22 Henry Salgado , Meagan R. Kendall , Martine Ceberio

In this paper, we make an important step towards the black-box machine teaching by considering the cross-space machine teaching, where the teacher and the learner use different feature representations and the teacher can not fully observe…

Machine Learning · Statistics 2018-06-07 Weiyang Liu , Bo Dai , Xingguo Li , Zhen Liu , James M. Rehg , Le Song

The goal of Science is to understand phenomena and systems in order to predict their development and gain control over them. In the scientific process of knowledge elaboration, a crucial role is played by models which, in the language of…

Statistical Mechanics · Physics 2018-10-25 Marco Baldovin , Fabio Cecconi , Massimo Cencini , Andrea Puglisi , Angelo Vulpiani

The continuous and discrete models of labour force training are being built. The application of the results from the theory of differential games and dynamic programming allows presenting the optimal strategies of labour force training that…

Optimization and Control · Mathematics 2018-04-02 Irina Zaitseva , Oleg Malafeyev , Sergei Strekopytov , Anna Ermakova , Dmitry Shlaev

What are the functions of curiosity? What are the mechanisms of curiosity-driven learning? We approach these questions about the living using concepts and tools from machine learning and developmental robotics. We argue that…

Artificial Intelligence · Computer Science 2018-06-19 Pierre-Yves Oudeyer

Learning often involves interaction between multiple agents. Human teacher-student settings best illustrate how interactions result in efficient knowledge passing where the teacher constructs a curriculum based on their students' abilities.…

Machine Learning · Computer Science 2022-04-27 Rose E. Wang , Mike Wu , Noah Goodman

We introduce a model that learns active learning algorithms via metalearning. For a distribution of related tasks, our model jointly learns: a data representation, an item selection heuristic, and a method for constructing prediction…

Machine Learning · Computer Science 2017-08-02 Philip Bachman , Alessandro Sordoni , Adam Trischler

The Product Data Model (PDM) is an example of a data-centric approach to modelling information-intensive business processes, which offers exibility and facilitates process optimization. Because the approach is declarative in nature, there…

Databases · Computer Science 2022-05-19 Konstantinos Varvoutas , Anastasios Gounaris , Georgia Kougka , Hajo A. Reijers

This paper examines some methods and ideas underlying the author's successful probabilistic learning systems(PLS), which have proven uniquely effective and efficient in generalization learning or induction. While the emerging principles are…

Artificial Intelligence · Computer Science 2013-04-15 Larry Rendell

An operatorial model of a system made by $N$ agents interacting each other with mechanisms that can be thought of as cooperative or competitive is presented. We associate to each agent an annihilation, creation and number fermionic…

Physics and Society · Physics 2025-05-29 M. Gorgone , G. Inferrera , F. Oliveri

A simple model of a buying-selling cycle is proposed. The model comprises two moves: a rational buying and a random selling. The notion of a profit intensity is introduced. Supply and demand curves and geometrical interpretation are…

Condensed Matter · Physics 2007-05-23 E. W. Piotrowski , J. Sladkowski

Learning and the ability to learn are important factors in development and evolutionary processes [1]. Depending on the level, the complexity of learning can strongly vary. While associative learning can explain simple learning behaviour…

Neurons and Cognition · Quantitative Biology 2007-05-23 Reimer Kuehn , Ion-Olimpiu Stamatescu

In this paper, we discuss the question whether a physical "simplification" of a model makes it always easier to study, at least from a mathematical and numerical point of view. To this end, we give different examples showing that these…

History and Overview · Mathematics 2017-10-18 André Eikmeier , Etienne Emmrich , Eckehard Schöll