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A novel framework is introduced to formalize identifiability in well-specified but ill-posed linear regression models. The framework is distribution-free and accommodates highly correlated features that may or may not relate to the…

Statistics Theory · Mathematics 2026-03-05 Gianluca Finocchio , Tatyana Krivobokova

Compact symbolic expressions have been shown to be more efficient than neural network models in terms of resource consumption and inference speed when implemented on custom hardware such as FPGAs, while maintaining comparable…

Machine Learning · Computer Science 2025-02-11 Ho Fung Tsoi , Vladimir Loncar , Sridhara Dasu , Philip Harris

We present a complete set of chemo-structural descriptors to significantly extend the applicability of machine-learning (ML) in material screening and mapping energy landscape for multicomponent systems. These new descriptors allow…

Materials Science · Physics 2018-08-08 Kamal Choudhary , Brian DeCost , Francesca Tavazza

Accurate property data for chemical elements is crucial for materials design and manufacturing, but many of them are difficult to measure directly due to equipment constraints. While traditional methods use the properties of other elements…

Computation and Language · Computer Science 2025-10-20 Yuanhao Li , Keyuan Lai , Tianqi Wang , Qihao Liu , Jiawei Ma , Yuan-Chao Hu

This paper presents an innovative approach to dimensionality reduction and feature extraction in high-dimensional datasets, with a specific application focus on wood surface defect detection. The proposed framework integrates sparse…

Machine Learning · Computer Science 2024-10-01 Harish Neelam , Koushik Sai Veerella , Souradip Biswas

Symbolic regression (SR) uncovers mathematical models from data. Several benchmarks have been proposed to compare the performance of SR algorithms. However, existing ground-truth rediscovery benchmarks overemphasize the recovery of "the…

Machine Learning · Computer Science 2025-08-21 Viktor Martinek

Symbolic Regression (SR) is a regression method that aims to discover mathematical expressions that describe the relationship between variables, and it is often implemented through Genetic Programming, a metaphor for the process of…

Neural and Evolutionary Computing · Computer Science 2025-12-02 Guilherme Seidyo Imai Aldeia

Object detection is a vital task in computer vision and has become an integral component of numerous critical systems. However, state-of-the-art object detectors, similar to their classification counterparts, are susceptible to small…

Computer Vision and Pattern Recognition · Computer Science 2023-08-04 Muhammad , Awais , Weiming , Zhuang , Lingjuan , Lyu , Sung-Ho , Bae

The microstructure critically governs the properties of materials used in energy and chemical engineering technologies, from catalysts and filters to thermal insulators and sensors. Therefore, accurate design is based on quantitative…

Computational Engineering, Finance, and Science · Computer Science 2026-01-29 Maksym Szemer , Szymon Buchaniec , Grzegorz Brus

Symbolic regression is emerging as a promising machine learning method for learning succinct underlying interpretable mathematical expressions directly from data. Whereas it has been traditionally tackled with genetic programming, it has…

Machine Learning · Computer Science 2025-01-14 Nour Makke , Sanjay Chawla

We propose algorithms for conducting Bayesian inference in structural vector autoregressions identified using sign restrictions. The key feature of our approach is a sampling step based on 'soft' sign restrictions. This step draws from a…

Econometrics · Economics 2026-03-31 Matthew Read , Dan Zhu

In this study we put forth a modular approach for distilling hidden flow physics in discrete and sparse observations. To address functional expressiblity, a key limitation of the black-box machine learning methods, we have exploited the use…

Computational Physics · Physics 2020-02-19 Harsha Vaddireddy , Adil Rasheed , Anne E Staples , Omer San

Symbolic Regression (SR) holds great potential for uncovering underlying mathematical and physical relationships from observed data. However, the vast combinatorial space of possible expressions poses significant challenges for both online…

Machine Learning · Computer Science 2025-02-12 Yuan Tian , Wenqi Zhou , Michele Viscione , Hao Dong , David Kammer , Olga Fink

Symbolic Regression (SR) holds great potential for uncovering underlying mathematical and physical relationships from observed data. However, the vast combinatorial space of possible expressions poses significant challenges for both online…

Machine Learning · Computer Science 2025-02-14 Yuan Tian , Wenqi Zhou , Michele Viscione , Hao Dong , David Kammer , Olga Fink

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

Establishing dense correspondences across image pairs is essential for tasks such as shape reconstruction and robot manipulation. In the challenging setting of matching across different categories, the function of an object, i.e., the…

Computer Vision and Pattern Recognition · Computer Science 2025-09-05 Stefan Stojanov , Linan Zhao , Yunzhi Zhang , Daniel L. K. Yamins , Jiajun Wu

Two-dimensional materials are a class of atomically thin materials with assorted electronic and quantum properties. Accurate identification of layer thickness, especially for a single monolayer, is crucial for their characterization. This…

Materials Science · Physics 2024-06-25 Polina A. Leger , Aditya Ramesh , Talianna Ulloa , Yingying Wu

With the rapid growth in language processing applications, fairness has emerged as an important consideration in data-driven solutions. Although various fairness definitions have been explored in the recent literature, there is lack of…

Machine Learning · Computer Science 2022-03-17 Satyapriya Krishna , Rahul Gupta , Apurv Verma , Jwala Dhamala , Yada Pruksachatkun , Kai-Wei Chang

Shrinkage estimators that possess the ability to produce sparse solutions have become increasingly important to the analysis of today's complex datasets. Examples include the LASSO, the Elastic-Net and their adaptive counterparts.…

Methodology · Statistics 2017-02-09 Hongmei Liu , J. Sunil Rao

Symbolic regression aims to find interpretable analytical expressions by searching over mathematical formula spaces to capture underlying system behavior, particularly in scientific modeling governed by physical laws. However, traditional…

Machine Learning · Computer Science 2025-10-09 Yunpeng Gong , Sihan Lan , Can Yang , Kunpeng Xu , Min Jiang