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Symbolic regression searches for analytic expressions that accurately describe studied phenomena. The main attraction of this approach is that it returns an interpretable model that can be insightful to users. Historically, the majority of…

Large language models are capable of in-context learning, the ability to perform new tasks at test time using a handful of input-output examples, without parameter updates. We develop a universal approximation theory to elucidate how…

Machine Learning · Computer Science 2025-08-29 Gen Li , Yuchen Jiao , Yu Huang , Yuting Wei , Yuxin Chen

Dynamic representation learning plays a pivotal role in understanding the evolution of linguistic content over time. On this front both context and time dynamics as well as their interplay are of prime importance. Current approaches model…

Computation and Language · Computer Science 2024-10-23 Talia Tseriotou , Adam Tsakalidis , Maria Liakata

The process of discovering equations from data lies at the heart of physics and in many other areas of research, including mathematical ecology and epidemiology. Recently, machine learning methods known as symbolic regression emerged as a…

Machine Learning · Computer Science 2026-01-21 Beatriz R. Brum , Luiza Lober , Isolde Previdelli , Francisco A. Rodrigues

We propose SatelliteFormula, a novel symbolic regression framework that derives physically interpretable expressions directly from multi-spectral remote sensing imagery. Unlike traditional empirical indices or black-box learning models,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Zhenyu Yu , Mohd. Yamani Idna Idris , Pei Wang , Yuelong Xia , Fei Ma , Rizwan Qureshi

In symbolic regression, the goal is to find an analytical expression that accurately fits experimental data with the minimal use of mathematical symbols such as operators, variables, and constants. However, the combinatorial space of…

Machine Learning · Computer Science 2023-04-21 Tommaso Bendinelli , Luca Biggio , Pierre-Alexandre Kamienny

A Transformer-based deep direct sampling method is proposed for electrical impedance tomography, a well-known severely ill-posed nonlinear boundary value inverse problem. A real-time reconstruction is achieved by evaluating the learned…

Machine Learning · Computer Science 2023-03-07 Ruchi Guo , Shuhao Cao , Long Chen

We can, and should, do statistical inference on simulation models by adjusting the parameters in the simulation so that the values of {\em randomly chosen} functions of the simulation output match the values of those same functions…

Methodology · Statistics 2021-11-18 Cosma Rohilla Shalizi

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

In recent years, Spiking Neural Networks (SNNs) have achieved remarkable progress, with Spiking Transformers emerging as a promising architecture for energy-efficient sequence modeling. However, existing Spiking Transformers still lack a…

Neural and Evolutionary Computing · Computer Science 2026-01-27 Sicheng Shen , Mingyang Lv , Bing Han , Dongcheng Zhao , Guobin Shen , Feifei Zhao , Yi Zeng

Transformers are effective and efficient at modeling complex relationships and learning patterns from structured data in many applications. The main aim of this paper is to propose and design NLAFormer, which is a transformer-based…

Numerical Analysis · Mathematics 2025-08-28 Zhantao Ma , Yihang Gao , Michael K. Ng

Transformers have significantly impacted domains like natural language processing, computer vision, and robotics, where they improve performance compared to other neural networks. This survey explores how transformers are used in…

Machine Learning · Computer Science 2023-07-13 Pranav Agarwal , Aamer Abdul Rahman , Pierre-Luc St-Charles , Simon J. D. Prince , Samira Ebrahimi Kahou

Real-world time series data are inherently multivariate, often exhibiting complex inter-channel dependencies. Each channel is typically sampled at its own period and is prone to missing values due to various practical and operational…

Machine Learning · Computer Science 2026-03-11 Jinkwan Jang , Hyungjin Park , Jinmyeong Choi , Taesup Kim

In a regression task, a function is learned from labeled data to predict the labels at new data points. The goal is to achieve small prediction errors. In symbolic regression, the goal is more ambitious, namely, to learn an interpretable…

Machine Learning · Computer Science 2025-06-25 Paul Kahlmeyer , Joachim Giesen , Michael Habeck , Henrik Voigt

Life and physical sciences have always been quick to adopt the latest advances in machine learning to accelerate scientific discovery. Examples of this are cell segmentation or cancer detection. Nevertheless, these exceptional results are…

Machine Learning · Computer Science 2022-04-26 Juan Manuel Parrilla-Gutierrez

The transformer is a neural network component that can be used to learn useful representations of sequences or sets of data-points. The transformer has driven recent advances in natural language processing, computer vision, and…

Machine Learning · Computer Science 2026-01-21 Richard E. Turner

We present an end-to-end framework for generating solutions to combinatorial optimization problems with unknown components using transformer-based sequence-to-sequence neural networks. Our framework learns directly from past solutions and…

Optimization and Control · Mathematics 2026-02-06 Macarena Navarro , Willem-Jan van Hoeve , Karan Singh

In quantitative trading, transforming historical stock data into interpretable, formulaic risk factors enhances the identification of market volatility and risk. Despite recent advancements in neural networks for extracting latent risk…

Computational Engineering, Finance, and Science · Computer Science 2025-09-23 Wenyan Xu , Rundong Wang , Chen Li , Yonghong Hu , Zhonghua Lu

We study the modeling and prediction of dynamical systems based on conventional models derived from measurements. Such algorithms are highly desirable in situations where the underlying dynamics are hard to model from physical principles or…

Data Analysis, Statistics and Probability · Physics 2016-08-03 Markus Quade , Markus Abel , Kamran Shafi , Robert K. Niven , Bernd R. Noack

Deep hedging is a promising direction in quantitative finance, incorporating models and techniques from deep learning research. While giving excellent hedging strategies, models inherently requires careful treatment in designing…

Machine Learning · Computer Science 2023-10-23 Anh Tong , Thanh Nguyen-Tang , Dongeun Lee , Toan Tran , Jaesik Choi