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Symbolic regression is a task aimed at identifying patterns in data and representing them through mathematical expressions, generally involving skeleton prediction and constant optimization. Many methods have achieved some success, however…

Machine Learning · Computer Science 2024-08-16 Yusong Deng , Min Wu , Lina Yu , Jingyi Liu , Shu Wei , Yanjie Li , Weijun Li

Consider a linear regression model where the design matrix X has n rows and p columns. We assume (a) p is much large than n, (b) the coefficient vector beta is sparse in the sense that only a small fraction of its coordinates is nonzero,…

Statistics Theory · Mathematics 2014-06-16 Jiashun Jin , Cun-Hui Zhang , Qi Zhang

SISSO (sure-independence screening and sparsifying operator) is an artificial intelligence (AI) method based on symbolic regression and compressed sensing widely used in materials science research. SISSO++ is its C++ implementation that…

Performance · Computer Science 2025-02-28 Sebastian Eibl , Yi Yao , Matthias Scheffler , Markus Rampp , Luca M. Ghiringhelli , Thomas A. R. Purcell

Photonic inverse design has emerged as an indispensable engineering tool for complex optical systems. In many instances it is important to optimize for both material and geometry configurations, which results in complex non-smooth search…

Optics · Physics 2021-06-17 Jagrit Digani , Phillip Hon , Artur R. Davoyan

Multi-omic datasets offer opportunities for improved biomarker discovery in cancer research, but their high dimensionality and limited sample sizes make identifying compact and effective biomarker panels challenging. Feature selection in…

Genomics · Quantitative Biology 2026-04-02 Luca Cattelani , Vittorio Fortino

We introduce a composition-weighted symbolic regression framework for interpretable prediction of materials properties directly from chemical composition. The method jointly learns analytical functional forms and task-dependent elemental…

Materials Science · Physics 2026-05-05 Yang Huang , Jingrun Chen

In general, we can not use algebraic or enumerative methods to optimize a quality control (QC) procedure so as to detect the critical random and systematic analytical errors with stated probabilities, while the probability for false…

Neural and Evolutionary Computing · Computer Science 2018-12-03 Aristides T. Hatjimihail , Theophanes T. Hatjimihail

We propose the genetic algorithm for time window optimization, which is an embedded genetic algorithm (GA), to optimize the time window (TW) of the attributes using feature selection and support vector machine. This GA is evolved using the…

Artificial Intelligence · Computer Science 2018-09-19 Norberto Ritzmann Junior , Julio Cesar Nievola

Genetic Algorithms (GA) are a class of metaheuristic global optimization methods inspired by the process of natural selection among individuals in a population. Despite their widespread use, a comprehensive theoretical analysis of these…

Optimization and Control · Mathematics 2025-02-24 Giacomo Borghi , Lorenzo Pareschi

Compressive sensing claims that the sparse signals can be reconstructed exactly from many fewer measurements than traditionally believed necessary. One of issues ensuring the successful compressive sensing is to deal with the…

Information Theory · Computer Science 2009-03-31 Lianlin Li , Fang Li

In many practical applications such as direction-of-arrival (DOA) estimation and line spectral estimation, the sparsifying dictionary is usually characterized by a set of unknown parameters in a continuous domain. To apply the conventional…

Information Theory · Computer Science 2015-06-18 Jun Fang , Jing Li , Yanning Shen , Hongbin Li , Shaoqian Li

In this work we suggest a statistical mechanics approach to the classification of high-dimensional data according to a binary label. We propose an algorithm whose aim is twofold: First it learns a classifier from a relatively small number…

Statistical Mechanics · Physics 2009-07-22 Andrea Pagnani , Francesca Tria , Martin Weigt

The recent many-fold increase in the size of deep neural networks makes efficient distributed training challenging. Many proposals exploit the compressibility of the gradients and propose lossy compression techniques to speed up the…

Machine Learning · Computer Science 2021-03-19 Ahmed M. Abdelmoniem , Ahmed Elzanaty , Mohamed-Slim Alouini , Marco Canini

In this work, we propose a set of physics-informed geometric operators (GOs) to enrich the geometric data provided for training surrogate/discriminative models, dimension reduction, and generative models, typically employed for performance…

Machine Learning · Computer Science 2024-07-11 Shahroz Khan , Zahid Masood , Muhammad Usama , Konstantinos Kostas , Panagiotis Kaklis , Wei , Chen

This work presents the first application of the method of Genetic Algorithms (GAs) to data analysis for the Laser Interferometer Space Antenna (LISA). In the low frequency regime of the LISA band there are expected to be tens of thousands…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jeff Crowder , Neil J. Cornish , Lucas Reddinger

Compressed sensing enables sparse sampling but relies on generic bases and random measurements, limiting efficiency and reconstruction quality. Optimal sensor placement uses historcal data to design tailored sampling patterns, yet its…

Machine Learning · Computer Science 2025-12-04 Adil Rasheed , Mikael Aleksander Jansen Shahly , Muhammad Faisal Aftab

Compressed sensing (CS) model of complex-valued data can represent the signal recovery process of a large amount types of radar systems, especially when the measurement matrix is row-orthogonal. Based on debiased least absolute shrinkage…

Signal Processing · Electrical Eng. & Systems 2023-07-28 Siqi Na , Tianyao Huang , Yimin Liu , Takashi Takahashi , Yoshiyuki Kabashima , Xiqin Wang

Modern compression algorithms exploit complex structures that are present in signals to describe them very efficiently. On the other hand, the field of compressed sensing is built upon the observation that "structured" signals can be…

Information Theory · Computer Science 2016-01-08 Farideh Ebrahim Rezagah , Shirin Jalali , Elza Erkip , H. Vincent Poor

Symbolic regression is a powerful tool for discovering governing equations directly from data, but its sensitivity to noise hinders its broader application. This paper introduces a Sequential Monte Carlo (SMC) framework for Bayesian…

Machine Learning · Computer Science 2025-12-12 Geoffrey F. Bomarito , Patrick E. Leser

Optical Pooled Screening (OPS) is a powerful tool combining high-content microscopy with genetic engineering to investigate gene function in disease. The characterization of high-content images remains an active area of research and is…

Computer Vision and Pattern Recognition · Computer Science 2024-06-11 Heming Yao , Phil Hanslovsky , Jan-Christian Huetter , Burkhard Hoeckendorf , David Richmond