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Symbolic regression automates the process of learning closed-form mathematical models from data. Standard approaches to symbolic regression, as well as newer deep learning approaches, rely on heuristic model selection criteria, heuristic…

Machine Learning · Statistics 2025-07-29 Roger Guimera , Marta Sales-Pardo

Remote sensing images inevitably suffer from various degradation factors during acquisition, including atmospheric interference, sensor limitations, and imaging conditions. These complex and heterogeneous degradations pose severe challenges…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Zhe Dong , Yuzhe Sun , Haochen Jiang , Tianzhu Liu , Yanfeng Gu

We implemented symbolic regression techniques to identify suitable analytical functions that map various properties of neutron stars (NSs), obtained by solving the Tolman-Oppenheimer-Volkoff (TOV) equations, to a few key parameters of the…

Nuclear Theory · Physics 2024-07-12 Sk Md Adil Imam , Prafulla Saxena , Tuhin Malik , N. K. Patra , B. K. Agrawal

Directed energy deposition (DED) produces complex thermo-mechanical responses that can lead to distortion and reduced dimensional accuracy of a manufactured part. Thermo-mechanical finite element simulations are widely used to estimate…

Evolutionary symbolic regression (SR) fits a symbolic equation to data, which gives a concise interpretable model. We explore using SR as a method to propose which data to gather in an active learning setting with physical constraints. SR…

Machine Learning · Computer Science 2024-08-13 Jorge Medina , Andrew D. White

Accurately modelling the dynamics of complex systems and discovering their governing differential equations are critical tasks for accelerating scientific discovery. Using noisy, synthetic data from two damped oscillatory systems, we…

Machine Learning · Computer Science 2026-01-29 Panayiotis Ioannou , Pietro Liò , Pietro Cicuta

Association Rule Mining (ARM) is the task of mining patterns among data features in the form of logical rules, with applications across a myriad of domains. However, high-dimensional datasets often result in an excessive number of rules,…

Artificial Intelligence · Computer Science 2026-01-01 Erkan Karabulut , Paul Groth , Victoria Degeler

The n body problem, fundamental to astrophysics, simulates the motion of n bodies acting under the effect of their own mutual gravitational interactions. Traditional machine learning models that are used for predicting and forecasting…

Machine Learning · Computer Science 2025-12-25 Suriya R S , Prathamesh Dinesh Joshi , Rajat Dandekar , Raj Dandekar , Sreedath Panat

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

Data-driven artificial intelligence (AI) models have made significant advancements in weather forecasting, particularly in medium-range and nowcasting. However, most data-driven weather forecasting models are black-box systems that focus on…

Machine Learning · Computer Science 2025-01-14 Wanghan Xu , Fenghua Ling , Wenlong Zhang , Tao Han , Hao Chen , Wanli Ouyang , Lei Bai

Redshift measurement has always been a constant need in modern astronomy and cosmology. And as new surveys have been providing an immense amount of data on astronomical objects, the need to process such data automatically proves to be…

Instrumentation and Methods for Astrophysics · Physics 2023-03-22 Felipe M F de Oliveira , Marcelo Vargas dos Santos , Ribamar R R Reis

Deep neural networks (DNNs) have achieved exceptional performance across various fields by learning complex, nonlinear mappings from large-scale datasets. However, they face challenges such as high memory requirements and computational…

Machine Learning · Computer Science 2025-04-21 Callen MacPhee , Yiming Zhou , Bahram Jalali

The precision of photometric and spectroscopic observations has been systematically improved in the last decade, mostly thanks to space-borne photometric missions and ground-based spectrographs dedicated to finding exoplanets. The field of…

We describe a neural-based method for generating exact or approximate solutions to differential equations in the form of mathematical expressions. Unlike other neural methods, our system returns symbolic expressions that can be interpreted…

Machine Learning · Computer Science 2020-11-16 Maysum Panju , Kourosh Parand , Ali Ghodsi

A fundamental challenge in symbolic regression (SR) is efficiently recovering complex mathematical expressions from observational data. Although this problem is NP-hard, many expressions of practical interest decompose naturally into…

Symbolic Computation · Computer Science 2026-05-14 Zhiming Yu , Wangtao Lu , Xin Lai

Artificial intelligence (AI) has emerged as a transformative force across industries, driven by advances in deep learning and natural language processing, and fueled by large-scale data and computing resources. Despite its rapid adoption,…

Machine Learning · Computer Science 2025-07-28 Sebastian Seidel , Uwe M. Borghoff

Spatio-temporal dynamics of physical processes are generally modeled using partial differential equations (PDEs). Though the core dynamics follows some principles of physics, real-world physical processes are often driven by unknown…

Machine Learning · Computer Science 2021-09-01 Priyabrata Saha , Saurabh Dash , Saibal Mukhopadhyay

Recent advances in deep learning have inspired numerous works on data-driven solutions to partial differential equation (PDE) problems. These neural PDE solvers can often be much faster than their numerical counterparts; however, each…

Machine Learning · Computer Science 2025-02-06 Anthony Zhou , Zijie Li , Michael Schneier , John R Buchanan , Amir Barati Farimani

We present the Neural Physics Engine (NPE), a framework for learning simulators of intuitive physics that naturally generalize across variable object count and different scene configurations. We propose a factorization of a physical scene…

Artificial Intelligence · Computer Science 2017-03-07 Michael B. Chang , Tomer Ullman , Antonio Torralba , Joshua B. Tenenbaum

The prevailing paradigm in AI for physical systems (scaling general-purpose foundation models toward universal multimodal reasoning) confronts a fundamental barrier at the control interface. Recent benchmarks show that even frontier…

Artificial Intelligence · Computer Science 2026-05-21 Yoon Pyo Lee , Samrendra Roy , Jay Yoo , Kazuma Kobayashi , Sajedul Talukder , Seid Koric , Souvik Chakraborty , Syed Bahauddin Alam
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