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When a Genetic Algorithm (GA), or a stochastic algorithm in general, is employed in a statistical problem, the obtained result is affected by both variability due to sampling, that refers to the fact that only a sample is observed, and…

Computation · Statistics 2019-03-07 Manuel Rizzo , Francesco Battaglia

Predictions of nuclear properties far from measured data are inherently imprecise because of uncertainties in our knowledge of nuclear forces and in our treatment of quantum many-body effects in strongly-interacting systems. While the model…

Nuclear Theory · Physics 2022-09-14 Rodrigo Navarro Perez , Nicolas Schunck

Tracking control for soft robots is challenging due to uncertainties in the system model and environment. Using high feedback gains to overcome this issue results in an increasing stiffness that clearly destroys the inherent safety property…

Systems and Control · Electrical Eng. & Systems 2019-06-26 Thomas Beckers , Sandra Hirche

Prediction-powered inference is a framework for performing valid statistical inference when an experimental dataset is supplemented with predictions from a machine-learning system. The framework yields simple algorithms for computing…

Machine Learning · Statistics 2023-11-10 Anastasios N. Angelopoulos , Stephen Bates , Clara Fannjiang , Michael I. Jordan , Tijana Zrnic

Symbolic equations are at the core of scientific discovery. The task of discovering the underlying equation from a set of input-output pairs is called symbolic regression. Traditionally, symbolic regression methods use hand-designed…

Machine Learning · Computer Science 2021-06-14 Luca Biggio , Tommaso Bendinelli , Alexander Neitz , Aurelien Lucchi , Giambattista Parascandolo

Ultrasonic motors used in high-precision mechatronics are characterized by strong frictional effects, which are among the main problems in precision motion control. The traditional methods apply model-based nonlinear feedforward to…

Systems and Control · Computer Science 2013-05-29 Minh H-T Nguyen , Kok Kiong Tan , Wenyu Liang , Chek Sing Teo

We investigate the addition of constraints on the function image and its derivatives for the incorporation of prior knowledge in symbolic regression. The approach is called shape-constrained symbolic regression and allows us to enforce e.g.…

Neural and Evolutionary Computing · Computer Science 2021-06-01 Gabriel Kronberger , Fabricio Olivetti de França , Bogdan Burlacu , Christian Haider , Michael Kommenda

Complex networks theory has commonly been used for modelling and understanding the interactions taking place between the elements composing complex systems. More recently, the use of generative models has gained momentum, as they allow…

Physics and Society · Physics 2016-05-19 Massimiliano Zanin , Marco Correia , Pedro A. C. Sousa , Jorge Cruz

Traffic congestion is an increasing problem in most cities around the world. It impacts businesses as well as commuters, small cities and large ones in developing as well as developed economies. One approach to decrease urban traffic…

Neural and Evolutionary Computing · Computer Science 2019-03-12 Esteban Ricalde

While current vision algorithms excel at many challenging tasks, it is unclear how well they understand the physical dynamics of real-world environments. Here we introduce Physion, a dataset and benchmark for rigorously evaluating the…

In order to examine the influence of system dynamics on sliding friction, we introduce the so-called micro-walking machine. This model consists of a rigid body with a number of elastic contact spots that is pulled by a constantly moving…

Materials Science · Physics 2015-11-03 Robbin Wetter , Valentin L. Popov

The control of high-dimensional systems, such as soft robots, requires models that faithfully capture complex dynamics while remaining computationally tractable. This work presents a framework that integrates Graph Neural Network…

This paper proposes a hybrid basis function construction method (GP-RVM) for Symbolic Regression problem, which combines an extended version of Genetic Programming called Kaizen Programming and Relevance Vector Machine to evolve an optimal…

Neural and Evolutionary Computing · Computer Science 2018-08-28 Hossein Izadi Rad , Ji Feng , Hitoshi Iba

Symbolic regression (SR) models complex systems by discovering mathematical expressions that capture underlying relationships in observed data. However, most SR methods prioritize minimizing prediction error over identifying the governing…

Machine Learning · Computer Science 2026-03-31 Giorgio Morales , John W. Sheppard

We assess the value of machine learning as an accelerator for the parameterisation schemes of operational weather forecasting systems, specifically the parameterisation of non-orographic gravity wave drag. Emulators of this scheme can be…

Atmospheric and Oceanic Physics · Physics 2021-08-11 Matthew Chantry , Sam Hatfield , Peter Duben , Inna Polichtchouk , Tim Palmer

Recently, several algorithms for symbolic regression (SR) emerged which employ a form of multiple linear regression (LR) to produce generalized linear models. The use of LR allows the algorithms to create models with relatively small error…

Machine Learning · Computer Science 2017-03-13 Jan Žegklitz , Petr Pošík

Machine learning has revitalized causal inference by combining flexible models and principled estimators, yet robust benchmarking and evaluation remain challenging with real-world data. In this work, we introduce frengression, a deep…

Methodology · Statistics 2025-08-05 Linying Yang , Robin J. Evans , Xinwei Shen

The problem of determining the mathematical model of the dynamics of multi-dimensional control systems in the presence of noise under the condition that the correlation functions cannot be found. Known statistical dynamics of linear systems…

General Mathematics · Mathematics 2013-01-29 V. N. Tibabishev

For joint inference over multiple variables, a variety of structured prediction techniques have been developed to model correlations among variables and thereby improve predictions. However, many classical approaches suffer from one of two…

Machine Learning · Computer Science 2020-01-07 Colin Graber , Alexander Schwing

Approximation algorithms are widely used in many engineering problems. To obtain a data set for approximation a factorial design of experiments is often used. In such case the size of the data set can be very large. Therefore, one of the…

Methodology · Statistics 2014-07-04 Mikhail Belyaev , Evgeny Burnaev , Yermek Kapushev