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In this paper, we present a machine learning method for the discovery of analytic solutions to differential equations. The method utilizes an inherently interpretable algorithm, genetic programming based symbolic regression. Unlike…

Machine Learning · Computer Science 2023-02-08 Hongsup Oh , Roman Amici , Geoffrey Bomarito , Shandian Zhe , Robert Kirby , Jacob Hochhalter

High\-cardinality categorical variables pose significant challenges in machine learning, particularly in terms of computational efficiency and model interpretability. Traditional one\-hot encoding often results in high\-dimensional sparse…

Machine Learning · Computer Science 2025-01-13 Zixuan Liang

Learning accurate dynamics models is necessary for optimal, compliant control of robotic systems. Current approaches to white-box modeling using analytic parameterizations, or black-box modeling using neural networks, can suffer from high…

Robotics · Computer Science 2019-03-05 Jayesh K. Gupta , Kunal Menda , Zachary Manchester , Mykel J. Kochenderfer

Functional variables are often used as predictors in regression problems. A commonly-used parametric approach, called {\it scalar-on-function regression}, uses the $\ltwo$ inner product to map functional predictors into scalar responses.…

Methodology · Statistics 2020-06-02 Kyungmin Ahn , J. Derek Tucker , Wei Wu , Anuj Srivastava

Background: Selecting feature genes to predict phenotypes is one of the typical tasks in analyzing genomics data. Though many general-purpose algorithms were developed for prediction, dealing with highly correlated genes in the prediction…

Applications · Statistics 2022-04-11 Li Xing , Songwan Joun , Kurt Mackay , Mary Lesperance , Xuekui Zhang

Performance variability is an important measure for a reliable high performance computing (HPC) system. Performance variability is affected by complicated interactions between numerous factors, such as CPU frequency, the number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-16 Li Xu , Thomas Lux , Tyler Chang , Bo Li , Yili Hong , Layne Watson , Ali Butt , Danfeng Yao , Kirk Cameron

A factored Nonlinear Program (Factored-NLP) explicitly models the dependencies between a set of continuous variables and nonlinear constraints, providing an expressive formulation for relevant robotics problems such as manipulation planning…

Robotics · Computer Science 2023-05-24 Joaquim Ortiz-Haro , Jung-Su Ha , Danny Driess , Erez Karpas , Marc Toussaint

A method of a fusion of fuzzy inference and policy gradient reinforcement learning has been proposed that directly learns, as maximizes the expected value of the reward per episode, parameters in a policy function represented by fuzzy rules…

Artificial Intelligence · Computer Science 2020-09-07 Seiji Ishihara , Harukazu Igarashi

Symbolic regression is the machine learning method for learning functions from data. After a brief overview of the symbolic regression landscape, I will describe the two main challenges that traditional algorithms face: they have an unknown…

Instrumentation and Methods for Astrophysics · Physics 2025-07-18 Harry Desmond

We demonstrate the use of symbolic regression in deriving analytical formulas, which are needed at various stages of a typical experimental analysis in collider phenomenology. As a first application, we consider kinematic variables like the…

High Energy Physics - Phenomenology · Physics 2023-03-29 Zhongtian Dong , Kyoungchul Kong , Konstantin T. Matchev , Katia Matcheva

A core challenge for both physics and artificial intellicence (AI) is symbolic regression: finding a symbolic expression that matches data from an unknown function. Although this problem is likely to be NP-hard in principle, functions of…

Computational Physics · Physics 2020-04-16 Silviu-Marian Udrescu , Max Tegmark

We propose the predictive forward-forward (PFF) algorithm for conducting credit assignment in neural systems. Specifically, we design a novel, dynamic recurrent neural system that learns a directed generative circuit jointly and…

Machine Learning · Computer Science 2023-04-04 Alexander Ororbia , Ankur Mali

Neuro-encoded expression programming(NEEP) that aims to offer a novel continuous representation of combinatorial encoding for genetic programming methods is proposed in this paper. Genetic programming with linear representation uses…

Neural and Evolutionary Computing · Computer Science 2021-04-12 Aftab Anjum , Fengyang Sun , Lin Wang , Jeff Orchard

Knowledge about the maximum tire-road friction potential is an important factor to ensure the driving stability and traffic safety of the vehicle. Many authors proposed systems that either measure friction related parameters or estimate the…

Signal Processing · Electrical Eng. & Systems 2024-07-17 Björn Volkmann , Karl-Philipp Kortmann , Ulrich Mair , Julian King

This paper describes a new method for Symbolic Regression that allows to find mathematical expressions from a dataset. This method has a strong mathematical basis. As opposed to other methods such as Genetic Programming, this method is…

Machine Learning · Computer Science 2022-03-22 Daniel Rivero , Enrique Fernandez-Blanco

Dynamics simulation with frictional contacts is important for a wide range of applications, from cloth simulation to object manipulation. Recent methods using smoothed lagged friction forces have enabled robust and differentiable simulation…

Graphics · Computer Science 2024-08-01 Egor Larionov , Andreas Longva , Uri M. Ascher , Jan Bender , Dinesh K. Pai

Predictive models are often introduced to decision-making tasks under the rationale that they improve performance over an existing decision-making policy. However, it is challenging to compare predictive performance against an existing…

Machine Learning · Computer Science 2024-06-13 Luke Guerdan , Amanda Coston , Kenneth Holstein , Zhiwei Steven Wu

Factorization machines (FMs) are a powerful tool for regression and classification in the context of sparse observations, that has been successfully applied to collaborative filtering, especially when side information over users or items is…

Machine Learning · Computer Science 2022-12-21 Jill-Jênn Vie , Tomas Rigaux , Hisashi Kashima

The paper considers linear regression problems where the number of predictor variables is possibly larger than the sample size. The basic motivation of the study is to combine the points of view of model selection and functional regression…

Statistics Theory · Mathematics 2012-02-24 Alois Kneip , Pascal Sarda

Symbolic regression (SR) aims to find symbolic expressions that describe datasets. Due to its inherent interpretability, is a powerful paradigm for scientific discovery. Recent advances have expanded SR to describe related phenomena using a…

Machine Learning · Computer Science 2026-03-31 Viktor Martinek , Roland Herzog
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