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The lower and upper bound of any given algorithm is one of the most crucial pieces of information needed when evaluating the computational effectiveness for said algorithm. Here a novel method of Boolean Algebraic Programming for symbolic…

Data Structures and Algorithms · Computer Science 2014-07-14 Daniel McCormack

In this paper we present an alternative approach to symbolic segmentation; instead of implementing a new method we approach symbolic segmentation as an algorithm selection problem. That is, let there be $n$ available algorithms for symbolic…

Computer Vision and Pattern Recognition · Computer Science 2015-06-01 Martin Lukac , Kamila Abdiyeva , Michitaka Kameyama

The typical methods for symbolic regression produce rather abrupt changes in solution candidates. In this work, we have tried to transform symbolic regression from an optimization problem, with a landscape that is so rugged that typical…

Machine Learning · Computer Science 2021-08-10 Erik Pitzer , Gabriel Kronberger

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

A number of problems in relational Artificial Intelligence can be viewed as Stochastic Constraint Optimization Problems (SCOPs). These are constraint optimization problems that involve objectives or constraints with a stochastic component.…

Artificial Intelligence · Computer Science 2018-07-04 Anna L. D. Latour , Behrouz Babaki , Siegfried Nijssen

A bottleneck for multi-timescale dynamics is the computation of the potential energy surface (PES). We explore the use of genetic programming (GP) to symbolically regress a mapping of the saddle-point barriers from only a few calculated…

Materials Science · Physics 2009-11-10 Kumara Sastry , D. D. Johnson , David E. Goldberg , Pascal Bellon

Along with the progress of AI democratization, machine learning (ML) has been successfully applied to edge applications, such as smart phones and automated driving. Nowadays, more applications require ML on tiny devices with extremely…

Machine Learning · Computer Science 2021-11-15 Yuhong Song , Edwin Hsing-Mean Sha , Qingfeng Zhuge , Rui Xu , Yongzhuo Zhang , Bingzhe Li , Lei Yang

The study of the classifier's design and it's usage is one of the most important machine learning areas. With the development of automatic machine learning methods, various approaches are used to build a robust classifier model. Due to some…

Machine Learning · Computer Science 2021-01-22 Ivan Gridin

Gradient boosting algorithms construct a regression predictor using a linear combination of ``base learners''. Boosting also offers an approach to obtaining robust non-parametric regression estimators that are scalable to applications with…

Methodology · Statistics 2020-08-11 Xiaomeng Ju , Matías Salibián-Barrera

Symbolic regression is the task of identifying a mathematical expression that best fits a provided dataset of input and output values. Due to the richness of the space of mathematical expressions, symbolic regression is generally a…

Machine Learning · Computer Science 2021-06-29 Mojtaba Valipour , Bowen You , Maysum Panju , Ali Ghodsi

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

The partitioning problem is of central relevance for designing and implementing non-centralized Model Predictive Control (MPC) strategies for large-scale systems. These control approaches include decentralized MPC, distributed MPC,…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Alessandro Riccardi , Luca Laurenti , Bart De Schutter

Block elimination algorithms for solving sparse discrete optimization problems are considered. The numerical example is provided. The benchmarking is done in order to define real computational capabilities of block elimination algorithms…

Discrete Mathematics · Computer Science 2012-01-04 Alexander Sviridenko , Oleg Shcherbina

An important objective for analyzing real-world graphs is to achieve scalable performance on large, streaming graphs. A challenging and relevant example is the graph partition problem. As a combinatorial problem, graph partition is NP-hard,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-10 Edward Kao , Vijay Gadepally , Michael Hurley , Michael Jones , Jeremy Kepner , Sanjeev Mohindra , Paul Monticciolo , Albert Reuther , Siddharth Samsi , William Song , Diane Staheli , Steven Smith

Advancements in machine learning for molecular property prediction have improved accuracy but at the expense of higher computational cost and longer training times. Recently, the Joint Multi-domain Pre-training (JMP) foundation model has…

Machine Learning · Computer Science 2025-04-29 Yasir Ghunaim , Andrés Villa , Gergo Ignacz , Gyorgy Szekely , Motasem Alfarra , Bernard Ghanem

The stochastic block model (SBM) is widely studied as a benchmark for graph clustering aka community detection. In practice, graph data often come with node attributes that bear additional information about the communities. Previous works…

Disordered Systems and Neural Networks · Physics 2023-09-12 O. Duranthon , L. Zdeborová

Bayesian optimization (BO) is one of the most effective methods for closed-loop experimental design and black-box optimization. However, a key limitation of BO is that it is an inherently sequential algorithm (one experiment is proposed per…

Machine Learning · Statistics 2023-11-21 Leonardo D. González , Victor M. Zavala

The Binary Space Partitioning~(BSP)-Tree process is proposed to produce flexible 2-D partition structures which are originally used as a Bayesian nonparametric prior for relational modelling. It can hardly be applied to other learning tasks…

Machine Learning · Statistics 2019-03-25 Xuhui Fan , Bin Li , Scott Anthony Sisson

A comprehensive methodology for inference in vector autoregressions (VARs) using sign and other structural restrictions is developed. The reduced-form VAR disturbances are driven by a few common factors and structural identification…

Econometrics · Economics 2022-06-15 Dimitris Korobilis

This article presents a powerful algorithmic framework for big data optimization, called the Block Successive Upper bound Minimization (BSUM). The BSUM includes as special cases many well-known methods for analyzing massive data sets, such…

Optimization and Control · Mathematics 2015-11-10 Mingyi Hong , Meisam Razaviyayn , Zhi-Quan Luo , Jong-Shi Pang