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Longitudinal Dispersion(LD) is the dominant process of scalar transport in natural streams. An accurate prediction on LD coefficient(Dl) can produce a performance leap in related simulation. The emerging machine learning(ML) techniques…

Geophysics · Physics 2021-07-28 Yifeng Zhao , Pei Zhang , S. A. Galindo-Torres , Stan Z. Li

Streamlined weirs which are a nature-inspired type of weir have gained tremendous attention among hydraulic engineers, mainly owing to their established performance with high discharge coefficients. Computational fluid dynamics (CFD) is…

Machine Learning · Computer Science 2022-04-13 Weibin Chen , Danial Sharifrazi , Guoxi Liang , Shahab S. Band , Kwok Wing Chau , Amir Mosavi

Many promising approaches to symbolic regression have been presented in recent years, yet progress in the field continues to suffer from a lack of uniform, robust, and transparent benchmarking standards. In this paper, we address this…

Neural and Evolutionary Computing · Computer Science 2021-08-02 William La Cava , Patryk Orzechowski , Bogdan Burlacu , Fabrício Olivetti de França , Marco Virgolin , Ying Jin , Michael Kommenda , Jason H. Moore

Identifying governing equations for a dynamical system is a topic of critical interest across an array of disciplines, from mathematics to engineering to biology. Machine learning -- specifically deep learning -- techniques have shown their…

Dynamical Systems · Mathematics 2026-05-07 Nibodh Boddupalli , Timothy Matchen , Jeff Moehlis

Discovering valid and meaningful mathematical equations from observed data plays a crucial role in scientific discovery. While this task, symbolic regression, remains challenging due to the vast search space and the trade-off between…

Machine Learning · Computer Science 2025-09-17 Xiaoxu Han , Chengzhen Ning , Jinghui Zhong , Fubiao Yang , Yu Wang , Xin Mu

As power systems evolve with the increasing integration of renewable energy sources and smart grid technologies, there is a growing demand for flexible and scalable modeling approaches capable of capturing the complex dynamics of modern…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Amir Bahador Javadi , Philip Pong

Watermarking has emerged as a promising technique to track AI-generated content and differentiate it from authentic human creations. While prior work extensively studies watermarking for autoregressive large language models (LLMs) and image…

Cryptography and Security · Computer Science 2026-02-16 Avi Bagchi , Akhil Bhimaraju , Moulik Choraria , Daniel Alabi , Lav R. Varshney

The implicit solvent approach offers a computationally efficient framework to model solvation effects in molecular simulations. However, its accuracy often falls short compared to explicit solvent models, limiting its use in precise…

In symbolic regression, the search for analytic models is typically driven purely by the prediction error observed on the training data samples. However, when the data samples do not sufficiently cover the input space, the prediction error…

Machine Learning · Computer Science 2020-04-28 J. Kubalík , E. Derner , R. Babuška

Diagnosis prediction is a critical task in healthcare, where timely and accurate identification of medical conditions can significantly impact patient outcomes. Traditional machine learning and deep learning models have achieved notable…

Machine Learning · Computer Science 2025-01-09 Qiuhao Lu , Rui Li , Elham Sagheb , Andrew Wen , Jinlian Wang , Liwei Wang , Jungwei W. Fan , Hongfang Liu

Symbolic regression is a powerful system identification technique in industrial scenarios where no prior knowledge on model structure is available. Such scenarios often require specific model properties such as interpretability, robustness,…

Machine learning models have become firmly established across all scientific fields. Extracting features from data and making inferences based on them with neural network models often yields high accuracy; however, this approach has several…

Machine Learning · Computer Science 2026-01-13 Mikhail Lazarev , Andrey Ustyuzhanin

Symbolic regression is a fundamental tool for discovering interpretable mathematical expressions from data, with broad applications across scientific and engineering domains. Recently, large language models (LLMs) have demonstrated strong…

Machine Learning · Computer Science 2025-06-06 Runxiang Wang , Boxiao Wang , Kai Li , Yifan Zhang , Jian Cheng

A key task in actuarial modelling involves modelling the distributional properties of losses. Classic (distributional) regression approaches like Generalized Linear Models (GLMs; Nelder and Wedderburn, 1972) are commonly used, but…

Machine Learning · Statistics 2024-06-04 Benjamin Avanzi , Eric Dong , Patrick J. Laub , Bernard Wong

Symbolic regression is a machine learning technique that can learn the governing formulas of data and thus has the potential to transform scientific discovery. However, symbolic regression is still limited in the complexity and…

Machine Learning · Computer Science 2023-05-30 Michael Zhang , Samuel Kim , Peter Y. Lu , Marin Soljačić

Symbolic regression is a technique that can automatically derive analytic models from data. Traditionally, symbolic regression has been implemented primarily through genetic programming that evolves populations of candidate solutions…

Neural and Evolutionary Computing · Computer Science 2025-04-24 Jiří Kubalík , Robert Babuška

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

Diffusion language models (DLMs) are an attractive alternative to autoregressive models because they promise sublinear-time, parallel generation, yet practical gains remain elusive as high-quality samples still demand hundreds of refinement…

Machine Learning · Computer Science 2026-05-04 Hasan Amin , Yuan Gao , Yaser Souri , Subhojit Som , Ming Yin , Rajiv Khanna , Xia Song

Multiple Description Coding (MDC) is an error-resilient source coding method designed for transmission over noisy channels. We present a novel MDC scheme employing a neural network based on implicit neural representation. This involves…

Image and Video Processing · Electrical Eng. & Systems 2023-08-08 Trung Hieu Le , Xavier Pic , Marc Antonini

Machine learning (ML) has become a versatile tool for analyzing anomalous diffusion trajectories, yet most existing pipelines are trained on large collections of simulated data. In contrast, experimental trajectories, such as those from…

Biological Physics · Physics 2025-12-10 Gongyi Wang , Yu Zhang , Zihan Huang
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