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Related papers: Towards understanding the central limit theorem by…

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Python is one of the most commonly used programming languages in industry and education. Its English keywords and built-in functions/modules allow it to come close to pseudo-code in terms of its readability and ease of writing. However,…

Computation and Language · Computer Science 2025-04-17 Joshua Otten , Antonios Anastasopoulos , Kevin Moran

Teaching graph theory with the most adequate tools requires time and ideas. We present how an open community of teachers shares contents and ideas on an innovative platform. The objective is to get the students autonomous in their training…

Discrete Mathematics · Computer Science 2022-09-13 Nicolas Catusse , Hadrien Cambazard , Nadia Brauner , Bernard Penz , Florian Fontan

We present a short proof of the central limit theorem which is elementary in the sense that no knowledge of characteristic functions, linear operators, or other advanced results are needed. Our proof is based on Lindeberg's trick of…

Probability · Mathematics 2021-06-03 Calvin Wooyoung Chin

In this paper, we obtain fundamental $\mathcal{L}_{p}$ bounds in sequential prediction and recursive algorithms via an entropic analysis. Both classes of problems are examined by investigating the underlying entropic relationships of the…

Machine Learning · Computer Science 2021-05-12 Song Fang , Quanyan Zhu

The integration of ChatGPT as a supportive tool in education, notably in programming courses, addresses the unique challenges of programming education by providing assistance with debugging, code generation, and explanations. Despite…

Computers and Society · Computer Science 2024-04-08 Boxaun Ma , Li Chen , Shin'ichi Konomi

Information theory plays a central role in establishing fundamental limits on what any learning or estimation algorithm can -- and cannot -- achieve, regardless of computational power. In this chapter, we provide an introduction to these…

Information Theory · Computer Science 2026-05-11 Abbas El Gamal , Maxim Raginsky

This mini-course gives an introduction to the techniques used in experimental particle physics with an emphasis on the impact of technological advances. The basic detector types and particle accelerator facilities will be briefly covered…

Instrumentation and Detectors · Physics 2007-05-23 Harry W. K. Cheung

Simple memorizing tasks have been chosen such as a binary code on a matrix. After the establishment of an appropriate protocol, the codified matrices were individually presented to 150 university students who had to memorize them. A…

Neurons and Cognition · Quantitative Biology 2007-05-23 Alexandra C. Tsallis , Constantino Tsallis , Aglae C. N. de Magalhaes , Francisco A. Tamarit

Deep Learning experiments have critical requirements regarding the careful handling of their datasets as well as the efficient and correct usage of APIs that interact with hardware accelerators. On the one hand, software mistakes during…

Programming Languages · Computer Science 2025-01-03 Nick Papoulias

Identifying the relevant physics principles is a central component of problem solving. A major goal of most introductory physics courses is to help students discern the deep similarities between problems based upon the physics principles so…

Physics Education · Physics 2016-02-23 Shih-Yin Lin , Chandralekha Singh

In this paper, we detail the integration of Python data analysis into a first-year physics laboratory course, a task accomplished without significant alterations to the existing course structure. We introduced tailored laboratory…

Physics Education · Physics 2024-05-28 Eugenio Tufino , Stefano Oss , Micol Alemani

Parsons problems are a type of programming activity that present learners with blocks of existing code and requiring them to arrange those blocks to form a program rather than write the code from scratch. Micro Parsons problems extend this…

Human-Computer Interaction · Computer Science 2024-05-31 Zihan Wu , David H. Smith

These are lecture notes written at the University of Zurich during spring 2014 and spring 2015. The first part of the notes gives an introduction to probability theory. It explains the notion of random events and random variables,…

Probability · Mathematics 2020-11-02 Nima Moshayedi

Reading and understanding code are fundamental skills for novice programmers, and especially important with the growing prevalence of AI-generated code and the need to evaluate its accuracy and reliability. ``Explain in Plain English''…

Computers and Society · Computer Science 2025-03-18 David H. Smith , Max Fowler , Paul Denny , Craig Zilles

These lecture notes concern information-theoretic notions of entropy. They are intended for, and have been successfully taught to, undergraduate students interested inresearch careers. Besides basic notions of analysis related to…

Mathematical Physics · Physics 2018-06-20 Vojkan Jaksic

Testing algorithms across a wide range of problem instances is crucial to ensure the validity of any claim about one algorithm's superiority over another. However, when it comes to inference algorithms for probabilistic logic programs,…

Logic in Computer Science · Computer Science 2020-09-14 Paulius Dilkas , Vaishak Belle

Scientists form hypotheses and experimentally test them. If a hypothesis fails (is refuted), scientists try to explain the failure to eliminate other hypotheses. The more precise the failure analysis the more hypotheses can be eliminated.…

Artificial Intelligence · Computer Science 2023-05-25 Rolf Morel , Andrew Cropper

The ability to categorize problems based upon underlying principles, rather than contexts, is considered a hallmark of expertise in physics problem solving. With inspiration from a classic study by Chi, Feltovich, and Glaser, we compared…

Physics Education · Physics 2016-02-26 Andrew Mason , Chandralekha Singh

We gained insight into ideas and beliefs on testing of students who finished an introductory course on programming without any formal education on testing. We asked students to fill in a small survey, to do four exercises and to fill in a…

Computers and Society · Computer Science 2021-02-19 Lex Bijlsma , Niels Doorn , Harrie Passier , Harold Pootjes , Sylvia Stuurman

We use the Enron email corpus to study relationships in a network by applying six different measures of centrality. Our results came out of an in-semester undergraduate research seminar. The Enron corpus is well suited to statistical…

Other Statistics · Statistics 2015-08-06 Johanna Hardin , Ghassan Sarkis , P. C. Urc