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Probabilistic graphical models are a powerful concept for modeling high-dimensional distributions. Besides modeling distributions, probabilistic graphical models also provide an elegant framework for performing statistical inference;…

Artificial Intelligence · Computer Science 2022-09-13 Christian Knoll

Classification systems are evaluated in a countless number of papers. However, we find that evaluation practice is often nebulous. Frequently, metrics are selected without arguments, and blurry terminology invites misconceptions. For…

Machine Learning · Computer Science 2024-07-03 Juri Opitz

In this paper, we argue that the prevailing approach to training and evaluating machine learning models often fails to consider their real-world application within organizational or societal contexts, where they are intended to create…

Machine Learning · Computer Science 2025-04-24 Burcu Sayin , Jie Yang , Xinyue Chen , Andrea Passerini , Fabio Casati

This article may be seen as a summary and a final discussion of the work that the author has done in recent years on the foundation of quantum theory. It is shown that quantum mechanics as a model follows under certain specific conditions…

Quantum Physics · Physics 2022-12-21 Inge S. Helland

A basic requirement for a mathematical model is often that its solution (output) shouldn't change much if the model's parameters (input) are perturbed. This is important because the exact values of parameters may not be known and one would…

Optimization and Control · Mathematics 2021-08-09 Johannes O. Royset

Signal processing traditionally relies on classical statistical modeling techniques. Such model-based methods utilize mathematical formulations that represent the underlying physics, prior information and additional domain knowledge. Simple…

Signal Processing · Electrical Eng. & Systems 2023-06-08 Nir Shlezinger , Yonina C. Eldar

Fitting models to data is an important part of the practice of science. Advances in machine learning have made it possible to fit more -- and more complex -- models, but have also exacerbated a problem: when multiple models fit the data…

Methodology · Statistics 2025-10-27 Alexandre René , André Longtin

I give an overview of the topic of this special issue, the applications of (statistical) physics to social sciences at large. I discuss several examples of simple social models put forward by physicists and discuss their interest. I argue…

Physics and Society · Physics 2019-10-23 Pablo Jensen

Integrated Assessment Models (IAMs) of the climate and economy aim to analyze the impact and efficacy of policies that aim to control climate change, such as carbon taxes and subsidies. A major characteristic of IAMs is that their…

General Economics · Economics 2020-10-20 Yongyang Cai

We look more carefully at the modeling of causality using structural equations. It is clear that the structural equations can have a major impact on the conclusions we draw about causality. In particular, the choice of variables and their…

Artificial Intelligence · Computer Science 2011-06-15 Joseph Y. Halpern , Christopher Hitchcock

AI models that predict the future behavior of a system (a.k.a. predictive AI models) are central to intelligent decision-making. However, decision-making using predictive AI models often results in suboptimal performance. This is primarily…

Artificial Intelligence · Computer Science 2025-01-13 Akhil S Anand , Shambhuraj Sawant , Dirk Reinhardt , Sebastien Gros

Fitting a simplifying model with several parameters to real data of complex objects is a highly nontrivial task, but enables the possibility to get insights into the objects physics. Here, we present a method to infer the parameters of the…

Data Analysis, Statistics and Probability · Physics 2018-12-21 Johannes Oberpriller , T. A. Enßlin

Forecasting has always been at the forefront of decision making and planning. The uncertainty that surrounds the future is both exciting and challenging, with individuals and organisations seeking to minimise risks and maximise utilities.…

Applications · Statistics 2022-02-09 Fotios Petropoulos , Daniele Apiletti , Vassilios Assimakopoulos , Mohamed Zied Babai , Devon K. Barrow , Souhaib Ben Taieb , Christoph Bergmeir , Ricardo J. Bessa , Jakub Bijak , John E. Boylan , Jethro Browell , Claudio Carnevale , Jennifer L. Castle , Pasquale Cirillo , Michael P. Clements , Clara Cordeiro , Fernando Luiz Cyrino Oliveira , Shari De Baets , Alexander Dokumentov , Joanne Ellison , Piotr Fiszeder , Philip Hans Franses , David T. Frazier , Michael Gilliland , M. Sinan Gönül , Paul Goodwin , Luigi Grossi , Yael Grushka-Cockayne , Mariangela Guidolin , Massimo Guidolin , Ulrich Gunter , Xiaojia Guo , Renato Guseo , Nigel Harvey , David F. Hendry , Ross Hollyman , Tim Januschowski , Jooyoung Jeon , Victor Richmond R. Jose , Yanfei Kang , Anne B. Koehler , Stephan Kolassa , Nikolaos Kourentzes , Sonia Leva , Feng Li , Konstantia Litsiou , Spyros Makridakis , Gael M. Martin , Andrew B. Martinez , Sheik Meeran , Theodore Modis , Konstantinos Nikolopoulos , Dilek Önkal , Alessia Paccagnini , Anastasios Panagiotelis , Ioannis Panapakidis , Jose M. Pavía , Manuela Pedio , Diego J. Pedregal , Pierre Pinson , Patrícia Ramos , David E. Rapach , J. James Reade , Bahman Rostami-Tabar , Michał Rubaszek , Georgios Sermpinis , Han Lin Shang , Evangelos Spiliotis , Aris A. Syntetos , Priyanga Dilini Talagala , Thiyanga S. Talagala , Len Tashman , Dimitrios Thomakos , Thordis Thorarinsdottir , Ezio Todini , Juan Ramón Trapero Arenas , Xiaoqian Wang , Robert L. Winkler , Alisa Yusupova , Florian Ziel

Decision-makers abhor uncertainty, and it is certainly true that the less there is of it the better. However, recognizing that uncertainty is part of the equation, particularly for deciding on environmental policy, is a prerequisite for…

Methodology · Statistics 2022-09-28 Noel Cressie

Within the last few years, there has been a move towards using statistical models in conjunction with neural networks with the end goal of being able to better answer the question, "what do our models know?". From this trend, classical…

Machine Learning · Computer Science 2021-12-03 Achintya Gopal

Motivated by the prevalence of prediction problems in the economy, we study markets in which firms sell models to a consumer to help improve their prediction. Firms decide whether to enter, choose models to train on their data, and set…

Theoretical Economics · Economics 2025-10-10 Krishna Dasaratha , Juan Ortner , Chengyang Zhu

While it is not generally reflected in the `nice' datasets used for benchmarking machine learning algorithms, the real-world is full of processes that would be best described as many-to-many. That is, a single input can potentially yield…

Graphs are commonly used in mathematics to represent some relationships between items. However, as simple objects, they sometimes fail to capture all relevant aspects of real-world data. To address this problem, we generalize them and model…

Social and Information Networks · Computer Science 2019-10-04 Pimprenelle Parmentier , Tiphaine Viard , Benjamin Renoust , Jean-François Baffier

When making predictions about ecosystems, we often have available a number of different ecosystem models that attempt to represent their dynamics in a detailed mechanistic way. Each of these can be used as simulators of large-scale…

Many major works in social science employ matching to make causal conclusions, but different matches on the same data may produce different treatment effect estimates, even when they achieve similar balance or minimize the same loss…

Applications · Statistics 2023-03-23 Marco Morucci , Cynthia Rudin