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One of the presuppositions of science since the times of Galileo, Newton, Laplace, and Descartes has been the predictability of the world. This idea has strongly influenced scientific and technological models. However, in recent decades,…

Adaptation and Self-Organizing Systems · Physics 2011-12-19 Carlos Gershenson

There is a persistent confusion about determinism and predictability. In spite of the opinions of some eminent philosophers (e.g., Popper), it is possible to understand that the two concepts are completely unrelated. In few words we can say…

Chaotic Dynamics · Physics 2016-05-10 Sergio Caprara , Angelo Vulpiani

We consider the optimization of an uncertain objective over continuous and multi-dimensional decision spaces in problems in which we are only provided with observational data. We propose a novel algorithmic framework that is tractable,…

Machine Learning · Statistics 2018-10-30 Dimitris Bertsimas , Christopher McCord

We describe the results of analytic calculations and computer simulations of adaptive predictors (predictive agents) responding to an evolving chaotic environment and to one another. Our simulations are designed to quantify adaptation and…

adap-org · Physics 2008-02-03 Alfred Hübler , David Pines

Understanding the 3D world from 2D images involves more than detection and segmentation of the objects within the scene. It also includes the interpretation of the structure and arrangement of the scene elements. Such understanding is often…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Or Nachmias , Ohad Fried , Ariel Shamir

Key questions that scientists and engineers typically want to address can be formulated in terms of predictive science. Questions such as: "How well does my computational model represent reality?", "What are the most important parameters in…

Mathematical Software · Computer Science 2012-02-07 Michael M. McKerns , Leif Strand , Tim Sullivan , Alta Fang , Michael A. G. Aivazis

The science of complexity is based on a new way of thinking that stands in sharp contrast to the philosophy underlying Newtonian science, which is based on reductionism, determinism, and objective knowledge. This paper reviews the…

Computational Complexity · Computer Science 2008-07-29 Francis Heylighen , Paul Cilliers , Carlos Gershenson

Many real-world decision processes are modeled by optimization problems whose defining parameters are unknown and must be inferred from observable data. The Predict-Then-Optimize framework uses machine learning models to predict unknown…

Machine Learning · Computer Science 2023-11-23 James Kotary , Vincenzo Di Vito , Jacob Christopher , Pascal Van Hentenryck , Ferdinando Fioretto

Optimization is a critical tool for addressing a broad range of human and technical problems. However, the paradox of advanced optimization techniques is that they have maximum utility for problems in which the relationship between the…

Computational Engineering, Finance, and Science · Computer Science 2024-03-04 Hazhir Aliahmadi , Ruben Perez , Greg van Anders

Calibration is a classical notion from the forecasting literature which aims to address the question: how should predicted probabilities be interpreted? In a world where we only get to observe (discrete) outcomes, how should we evaluate a…

Machine Learning · Computer Science 2025-09-03 Parikshit Gopalan , Lunjia Hu

Advancements in mathematical programming have made it possible to efficiently tackle large-scale real-world problems that were deemed intractable just a few decades ago. However, provably optimal solutions may not be accepted due to the…

Optimization and Control · Mathematics 2023-12-22 Kevin-Martin Aigner , Marc Goerigk , Michael Hartisch , Frauke Liers , Arthur Miehlich

The rise of parallel computing hardware has made it increasingly important to understand which nonlinear state space models can be efficiently parallelized. Recent advances like DEER (arXiv:2309.12252) and DeepPCR (arXiv:2309.16318) recast…

Optimization and Control · Mathematics 2026-02-10 Xavier Gonzalez , Leo Kozachkov , David M. Zoltowski , Kenneth L. Clarkson , Scott W. Linderman

The study of complex systems has attracted widespread attention from researchers in the fields of natural sciences, social sciences, and engineering. Prediction is one of the central issues in this field. Although most related studies have…

Physics and Society · Physics 2025-10-21 En Xu , Yilin Bi , Hongwei Hu , Xin Chen , Zhiwen Yu , Yong Li , Yanqing Hu , Tao Zhou

The dynamical evolution of many economic, sociological, biological and physical systems tends to be dominated by a relatively small number of unexpected, large changes (`extreme events'). We study the large, internal changes produced in a…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Lamper , S. Howison , N. F. Johnson

LECTURE GIVEN AT TH2002. Given a set of Boolean variables, and some constraints between them, is it possible to find a configuration of the variables which satisfies all constraints? This problem, which is at the heart of combinatorial…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Mezard

The main aim of decision support systems is to find solutions that satisfy user requirements. Often, this leads to predictability of those solutions, in the sense that having the input data and the model, an adversary or enemy can predict…

Discrete Mathematics · Computer Science 2021-01-18 Daniel Karapetyan , Andrew J. Parkes

Almost all neural computations involve making predictions. Whether an organism is trying to catch prey, avoid predators, or simply move through a complex environment, the data it collects through its senses can guide its actions only to the…

Neurons and Cognition · Quantitative Biology 2015-07-02 Jared Salisbury , Stephanie E. Palmer

Data Science and Machine learning have been growing strong for the past decade. We argue that to make the most of this exciting field we should resist the temptation of assuming that forecasting can be reduced to brute-force data analytics.…

Artificial Intelligence · Computer Science 2020-05-12 Hykel Hosni , Angelo Vulpiani

We propose a rigorous decomposition of predictive error, highlighting that not all 'irreducible' error is genuinely immutable. Many domains stand to benefit from iterative enhancements in measurement, construct validity, and modeling. Our…

Machine Learning · Computer Science 2025-02-12 Jiani Yan , Charles Rahal
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