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Extracting interpretable equations from observational datasets to describe complex natural phenomena is one of the core goals of artificial intelligence. This field is known as symbolic regression (SR). In recent years, Transformer-based…

机器学习 · 计算机科学 2026-01-26 Da Li , Junping Yin , Jin Xu , Xinxin Li , Juan Zhang

The problem of symbolic regression (SR) arises in many different applications, such as identifying physical laws or deriving mathematical equations describing the behavior of financial markets from given data. Various methods exist to…

人工智能 · 计算机科学 2025-05-07 Philipp Scholl , Katharina Bieker , Hillary Hauger , Gitta Kutyniok

Plant biomass estimation is critical due to the variability of different environmental factors and crop management practices associated with it. The assessment is largely impacted by the accurate prediction of different environmental…

人工智能 · 计算机科学 2023-02-07 Syeda Nyma Ferdous , Xin Li , Kamalakanta Sahoo , Richard Bergman

High dimensional and heterogeneous count data are collected in various applied fields. In this paper, we look closely at high-resolution sequencing data on the microbiome, which have enabled researchers to study the genomes of entire…

统计方法学 · 统计学 2024-01-12 Veronica Vinciotti , Pariya Behrouzi , Reza Mohammadi

In some real world situations, linear models are not sufficient to represent accurately complex relations between input variables and output variables of a studied system. Multilayer Perceptrons are one of the most successful non-linear…

神经与进化计算 · 计算机科学 2008-02-05 Fabrice Rossi , Brieuc Conan-Guez

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…

动力系统 · 数学 2026-05-07 Nibodh Boddupalli , Timothy Matchen , Jeff Moehlis

Microbiome data are complex in nature, involving high dimensionality, compositionally, zero inflation, and taxonomic hierarchy. Compositional data reside in a simplex that does not admit the standard Euclidean geometry. Most existing…

统计方法学 · 统计学 2020-11-12 Gen Li , Yan Li , Kun Chen

Random Forest (RF) is a widely used machine learning algorithm known for its flexibility, user-friendliness, and high predictive performance across various domains. However, it is non-interpretable. This can limit its usefulness in applied…

机器学习 · 统计学 2024-08-13 Luca Patelli , Natalia Golini , Rosaria Ignaccolo , Michela Cameletti

The analysis of human microbiome data is often based on dimension-reduced graphical displays and clustering derived from vectors of microbial abundances in each sample. Common to these ordination methods is the use of biologically motivated…

应用统计 · 统计学 2017-01-11 Timothy W. Randolph , Sen Zhao , Wade Copeland , Meredith Hullar , Ali Shojaie

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…

机器学习 · 计算机科学 2021-06-29 Mojtaba Valipour , Bowen You , Maysum Panju , Ali Ghodsi

We use an agnostic information-theoretic approach to investigate the statistical properties of natural images. We introduce the Multiscale Relevance (MSR) measure to assess the robustness of images to compression at all scales. Starting in…

数据分析、统计与概率 · 物理学 2023-10-06 Samy Lakhal , Alexandre Darmon , Iacopo Mastromatteo , Matteo Marsili , Michael Benzaquen

Reward Models (RMs) are key components for evaluating and guiding language model outputs. However, traditional scalar RMs often struggle with incorporating contextual and background information during inference, leading to incomplete…

Symbolic regression is the machine learning method for learning functions from data. After a brief overview of the symbolic regression landscape, I will describe the two main challenges that traditional algorithms face: they have an unknown…

天体物理仪器与方法 · 物理学 2025-07-18 Harry Desmond

Symbolic Regression (SR) is a machine learning approach that explores the space of mathematical expressions to identify those that best fit a given dataset, balancing both accuracy and simplicity. We apply SR to the study of Gray-Body…

宇宙学与河外天体物理 · 物理学 2025-09-15 Guan-Wen Yuan , Marco Calzà , Davide Pedrotti

The high-energy physics community is investigating the potential of deploying machine-learning-based solutions on Field-Programmable Gate Arrays (FPGAs) to enhance physics sensitivity while still meeting data processing time constraints. In…

Regression plays an essential role in many medical imaging applications for estimating various clinical risk or measurement scores. While training strategies and loss functions have been studied for the deep neural networks in medical image…

图像与视频处理 · 电气工程与系统科学 2022-07-13 Hanqing Chao , Jiajin Zhang , Pingkun Yan

Large-scale perturbations in the microbiome constitution are strongly correlated, whether as a driver or a consequence, with the health and functioning of human physiology. However, understanding the difference in the microbiome profiles of…

定量方法 · 定量生物学 2022-09-08 Kateryna Melnyk , Kuba Weimann , Tim O. F. Conrad

As a result of several successful applications in computer vision and image processing, sparse representation (SR) has attracted significant attention in multi-sensor image fusion. Unlike the traditional multiscale transforms (MSTs) that…

计算机视觉与模式识别 · 计算机科学 2017-02-14 Qiang Zhang , Yi Liu , Rick S. Blum , Jungong Han , Dacheng Tao

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…

In this paper, we present a new variable selection method for regression and classification purposes. Our method, called Subsampling Ranking Forward selection (SuRF), is based on LASSO penalised regression, subsampling and forward-selection…

统计方法学 · 统计学 2021-05-25 Lihui Liu , Hong Gu , Johan Van Limbergen , Toby Kenney