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We propose an asymptotic framework to analyze the performance of (personalized) federated learning algorithms. In this new framework, we formulate federated learning as a multi-criterion objective, where the goal is to minimize each…

Machine Learning · Computer Science 2022-02-21 Gary Cheng , Karan Chadha , John Duchi

Symbolic regression (SR) is a data analysis problem where we search for the mathematical expression that best fits a numerical dataset. It is a global optimization problem. The most popular approach to SR is by genetic programming (SRGP).…

Neural and Evolutionary Computing · Computer Science 2019-11-19 Sohrab Towfighi

While large machine learning models have shown remarkable performance in various domains, their training typically requires iterating for many passes over the training data. However, due to computational and memory constraints and potential…

Machine Learning · Computer Science 2025-11-04 Youngjae Min , Namhoon Cho , Navid Azizan

Semiparametric regression offers a flexible framework for modeling non-linear relationships between a response and covariates. A prime example are generalized additive models where splines (say) are used to approximate non-linear functional…

Statistics Theory · Mathematics 2018-10-05 Francis K. C. Hui , Chong You , Han Lin Shang , Samuel Müller

Symbolic regression (SR) is a powerful technique for discovering the underlying mathematical expressions from observed data. Inspired by the success of deep learning, recent deep generative SR methods have shown promising results. However,…

Machine Learning · Computer Science 2024-06-04 Wenqiang Li , Weijun Li , Lina Yu , Min Wu , Linjun Sun , Jingyi Liu , Yanjie Li , Shu Wei , Yusong Deng , Meilan Hao

Popular PEFT methods reduce trainable parameter count for fine-tuning by parameterizing new low-rank or sparse trainable weights in parallel to the frozen pre-trained weights $W$. However, these weights are trained from scratch, and there…

Machine Learning · Computer Science 2025-08-15 Suhas G Hegde , Shilpy Kaur , Aruna Tiwari

We present SymFlux, a novel deep learning framework that performs symbolic regression to identify Hamiltonian functions from their corresponding vector fields on the standard symplectic plane. SymFlux models utilize hybrid CNN-LSTM…

Machine Learning · Computer Science 2025-07-10 M. A. Evangelista-Alvarado , P. Suárez-Serrato

Regression analysis is a well known quantitative research method that primarily explores the relationship between one or more independent variables and a dependent variable. Conducting regression analysis manually on large datasets with…

Machine Learning · Computer Science 2022-05-17 Ayon Roy , Tausif Al Zubayer , Nafisa Tabassum , Muhammad Nazrul Islam , Md. Abdus Sattar

Accurate models are essential for design, performance prediction, control, and diagnostics in complex engineering systems. Physics-based models excel during the design phase but often become outdated during system deployment due to changing…

Machine Learning · Computer Science 2025-01-22 Zihan Liu , Prashant N. Kambali , C. Nataraj

We present a novel approach to symbolic regression using vision-capable large language models (LLMs) and the ideas behind Google DeepMind's Funsearch. The LLM is given a plot of a univariate function and tasked with proposing an ansatz for…

Machine Learning · Computer Science 2025-05-20 Thomas R. Harvey , Fabian Ruehle , Kit Fraser-Taliente , James Halverson

Achieving high-quality semantic segmentation predictions using only image-level labels enables a new level of real-world applicability. Although state-of-the-art networks deliver reliable predictions, the amount of handcrafted pixel-wise…

Computer Vision and Pattern Recognition · Computer Science 2023-08-17 Erik Ostrowski , Bharath Srinivas Prabakaran , Muhammad Shafique

The reconstruction of particle tracks from hits in tracking detectors is a computationally intensive task due to the large combinatorics of detector signals. Recent efforts have proven that ML techniques can be successfully applied to the…

High Energy Physics - Experiment · Physics 2024-11-19 Nathalie Soybelman , Carlo Schiavi , Francesco A. Di Bello , Eilam Gross

Fragment-based shape signature techniques have proven to be powerful tools for computer-aided drug design. They allow scientists to search for target molecules with some similarity to a known active compound. They do not require reference…

Artificial Intelligence · Computer Science 2022-01-05 Thierry Petit , Randy J. Zauhar

Symbolic Regression searches for a function form that approximates a dataset often using Genetic Programming. Since there is usually no restriction to what form the function can have, Genetic Programming may return a hard to understand…

Neural and Evolutionary Computing · Computer Science 2022-05-16 Fabricio Olivetti de Franca

There are many uses for linear fitting; the context here is interpolation and denoising of data, as when you have calibration data and you want to fit a smooth, flexible function to those data. Or you want to fit a flexible function to…

Data Analysis, Statistics and Probability · Physics 2021-09-22 David W. Hogg , Soledad Villar

Matrix preconditioning is a critical technique to accelerate the solution of linear systems, where performance heavily depends on the selection of preconditioning parameters. Traditional parameter selection approaches often define fixed…

Numerical Analysis · Mathematics 2025-12-30 Hong Wang , Jie Wang , Minghao Ma , Haoran Shao , Haoyang Liu

Fitting parametric models of human bodies, hands or faces to sparse input signals in an accurate, robust, and fast manner has the promise of significantly improving immersion in AR and VR scenarios. A common first step in systems that…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Vasileios Choutas , Federica Bogo , Jingjing Shen , Julien Valentin

Learning tasks such as those involving genomic data often poses a serious challenge: the number of input features can be orders of magnitude larger than the number of training examples, making it difficult to avoid overfitting, even when…

Parametric prediction error methods constitute a classical approach to the identification of linear dynamic systems with excellent large-sample properties. A more recent regularized approach, inspired by machine learning and Bayesian…

Systems and Control · Computer Science 2017-10-12 Johan Wågberg , Dave Zachariah , Thomas B. Schön

[RETRACTED]Data increasingly abounds, but distilling their underlying relationships down to something interpretable remains challenging. One approach is genetic programming, which `symbolically regresses' a data set down into an equation.…

Neural and Evolutionary Computing · Computer Science 2025-10-23 Amanda Bertschinger , James Bagrow , Joshua Bongard