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This book aims to provide an introduction to the topic of deep learning algorithms. We review essential components of deep learning algorithms in full mathematical detail including different artificial neural network (ANN) architectures…

Machine Learning · Computer Science 2025-07-17 Arnulf Jentzen , Benno Kuckuck , Philippe von Wurstemberger

We review, for a general audience, a variety of recent experiments on extracting structure from machine-learning mathematical data that have been compiled over the years. Focusing on supervised machine-learning on labeled data from…

Machine Learning · Computer Science 2021-04-09 Yang-Hui He

Notes for a Course on Probability and Statistics: L1: Elements of Probability; L2: Bayesian Inference; L3: Monte Carlo Methods

Data Analysis, Statistics and Probability · Physics 2017-01-11 Carlos Mana

This article is an introduction to machine learning for financial forecasting, planning and analysis (FP\&A). Machine learning appears well suited to support FP\&A with the highly automated extraction of information from large amounts of…

Econometrics · Economics 2021-07-13 Helmut Wasserbacher , Martin Spindler

This chapter opens with a review of classic tools for regression, a subset of machine learning that seeks to find relationships between variables. With the advent of scientific machine learning this field has moved from a purely data-driven…

Machine Learning · Statistics 2025-12-02 Miguel A. Mendez

Recently, multi-view representation learning has become a rapidly growing direction in machine learning and data mining areas. This paper introduces two categories for multi-view representation learning: multi-view representation alignment…

Machine Learning · Computer Science 2018-10-25 Yingming Li , Ming Yang , Zhongfei Zhang

Machine learning (ML) can process large sets of data generated from complex systems, which is ideal for classification tasks as often appeared in critical phenomena. Meanwhile ML techniques have been found effective in detecting critical…

Computational Physics · Physics 2024-05-07 Shen Jianmin , Wang Shanshan , Li Wei , Xu Dian , Yang Yuxiang , Wang Yanyang , Gao Feng , Zhu Yueying , Tuo Kui

In the following article we provide an exposition of exact computational methods to perform parameter inference from partially observed network models. In particular, we consider the duplication attachment (DA) model which has a likelihood…

Computation · Statistics 2013-06-20 Junshan Wang , Ajay Jasra , Maria De Iorio

Calculating intermolecular charge transfer integrals in organic semiconductors requires substantial computer resource for each individual calculation. We might alternatively construct a machine learning model for transfer integrals, which…

Disordered Systems and Neural Networks · Physics 2025-11-11 Keerati Keeratikarn , Christoph Ortner , Jarvist Moore Frost

We introduce definitions of computable PAC learning for binary classification over computable metric spaces. We provide sufficient conditions for learners that are empirical risk minimizers (ERM) to be computable, and bound the strong…

Machine Learning · Computer Science 2021-11-30 Nathanael Ackerman , Julian Asilis , Jieqi Di , Cameron Freer , Jean-Baptiste Tristan

Despite the widespread usage of machine learning throughout organizations, there are some key principles that are commonly missed. In particular: 1) There are at least four main families for supervised learning: logical modeling methods,…

Machine Learning · Computer Science 2019-06-06 Cynthia Rudin , David Carlson

This book chapter introduces the principles and practical applications of uncertainty quantification in machine learning. It explains how to identify and distinguish between different types of uncertainty and presents methods for…

Machine Learning · Computer Science 2025-10-08 Hans Weytjens , Wouter Verbeke

Machine learning is finding increasingly broad application in the physical sciences. This most often involves building a model relationship between a dependent, measurable output and an associated set of controllable, but complicated,…

Computational Physics · Physics 2018-08-29 Brian K. Spears

Double machine learning is a statistical method for leveraging complex black-box models to construct approximately unbiased treatment effect estimates given observational data with high-dimensional covariates, under the assumption of a…

Machine Learning · Statistics 2022-06-03 Nitai Fingerhut , Matteo Sesia , Yaniv Romano

This document introduces basics in data preparation, feature selection and learning basics for high energy physics tasks. The emphasis is on feature selection by principal component analysis, information gain and significance measures for…

Data Analysis, Statistics and Probability · Physics 2008-03-18 Anselm Vossen

Precision and Recall are fundamental metrics in machine learning tasks where both accurate predictions and comprehensive coverage are essential, such as in multi-label learning, language generation, medical studies, and recommender systems.…

Machine Learning · Computer Science 2025-10-27 Lee Cohen , Yishay Mansour , Shay Moran , Han Shao

We present a comprehensive framework for applying rigorous statistical techniques from econometrics to analyze and improve machine learning systems. We introduce key statistical methods such as Ordinary Least Squares (OLS) regression,…

Machine Learning · Computer Science 2024-10-03 Michaël Soumm

A wide range of machine learning algorithms iteratively add data to the training sample. Examples include semi-supervised learning, active learning, multi-armed bandits, and Bayesian optimization. We embed this kind of data addition into…

Machine Learning · Statistics 2024-06-25 Julian Rodemann

This chapter provides an overview of the different Artificial Intelligence (AI) systems that are being used in contemporary digital tools for Mathematics Education (ME). It is aimed at researchers in AI and Machine Learning (ML), for whom…

Computers and Society · Computer Science 2021-10-22 Steven Van Vaerenbergh , Adrián Pérez-Suay

Given the unprecedented availability of data and computing resources, there is widespread renewed interest in applying data-driven machine learning methods to problems for which the development of conventional engineering solutions is…

Information Theory · Computer Science 2018-11-06 Osvaldo Simeone