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In this work, we revisit dictionary-based sparse regression, in particular, Sequential Threshold Least Squares (STLS), and propose a score-guided library selection to provide practical guidance for data-driven modeling, with emphasis on…

Machine Learning · Statistics 2025-12-17 Hangjun Cho , Fabio V. G. Amaral , Andrei A. Klishin , Cassio M. Oishi , Steven L. Brunton

A popular approach within the signal processing and machine learning communities consists in modelling signals as sparse linear combinations of atoms selected from a learned dictionary. While this paradigm has led to numerous empirical…

Machine Learning · Computer Science 2015-08-25 Rémi Gribonval , Rodolphe Jenatton , Francis Bach

Compressive sensing claims that the sparse signals can be reconstructed exactly from many fewer measurements than traditionally believed necessary. One of issues ensuring the successful compressive sensing is to deal with the…

Information Theory · Computer Science 2009-03-31 Lianlin Li , Fang Li

Neural networks can be significantly compressed by pruning, yielding sparse models with reduced storage and computational demands while preserving predictive performance. Model soups (Wortsman et al., 2022) enhance generalization and…

Machine Learning · Computer Science 2024-03-26 Max Zimmer , Christoph Spiegel , Sebastian Pokutta

In semi-supervised learning, the prevailing understanding suggests that observing additional unlabeled samples improves estimation accuracy for linear parameters only in the case of model misspecification. In this work, we challenge such a…

Methodology · Statistics 2025-09-03 Kai Chen , Yuqian Zhang

Missing data is common in applied data science, particularly for tabular data sets found in healthcare, social sciences, and natural sciences. Most supervised learning methods only work on complete data, thus requiring preprocessing such as…

Machine Learning · Computer Science 2023-10-25 Mike Van Ness , Tomas M. Bosschieter , Roberto Halpin-Gregorio , Madeleine Udell

The problem of counting the number of models of a given Boolean formula has numerous applications, including computing the leakage of deterministic programs in Quantitative Information Flow. Model counting is a hard, #P-complete problem.…

Logic in Computer Science · Computer Science 2024-05-24 Michele Boreale , Daniele Gorla

Programs offer compactness and structure that makes them an attractive representation for visual data. We explore how code rewriting can be used to improve systems for inferring programs from visual data. We first propose Sparse…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Aditya Ganeshan , R. Kenny Jones , Daniel Ritchie

Healthcare data frequently contain a substantial proportion of missing values, necessitating effective time series imputation to support downstream disease diagnosis tasks. However, existing imputation methods focus on discrete data points…

Machine Learning · Computer Science 2025-05-19 Mengxuan Li , Ke Liu , Jialong Guo , Jiajun Bu , Hongwei Wang , Haishuai Wang

Deep neural networks with lots of parameters are typically used for large-scale computer vision tasks such as image classification. This is a result of using dense matrix multiplications and convolutions. However, sparse computations are…

Computer Vision and Pattern Recognition · Computer Science 2016-11-22 Suraj Srinivas , Akshayvarun Subramanya , R. Venkatesh Babu

Multiple systems estimation strategies have recently been applied to quantify hard-to-reach populations, particularly when estimating the number of victims of human trafficking and modern slavery. In such contexts, it is not uncommon to see…

Methodology · Statistics 2020-03-06 Lax Chan , Bernard W. Silverman , Kyle Vincent

Machine learning has achieved impressive performance in tomographic reconstruction, but supervised training requires paired measurements and ground-truth images that are often unavailable. This has motivated self-supervised approaches,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Markus Haltmeier , Lukas Neumann , Nadja Gruber , Gyeongha Hwang

Hybrid systems are traditionally difficult to identify and analyze using classical dynamical systems theory. Moreover, recently developed model identification methodologies largely focus on identifying a single set of governing equations…

Dynamical Systems · Mathematics 2019-06-19 Niall M Mangan , Travis Askham , Steven L Brunton , J Nathan Kutz , Joshua L Proctor

Neural networks have seen limited use in prediction for high-dimensional data with small sample sizes, because they tend to overfit and require tuning many more hyperparameters than existing off-the-shelf machine learning methods. With…

Machine Learning · Statistics 2020-05-12 Jean Feng , Noah Simon

We present a novel method for training score-based generative models which uses nonlinear noising dynamics to improve learning of structured distributions. Generalizing to a nonlinear drift allows for additional structure to be incorporated…

Machine Learning · Statistics 2025-07-10 Jeremiah Birrell , Markos A. Katsoulakis , Luc Rey-Bellet , Benjamin J. Zhang , Wei Zhu

Symbolic regression (SR) aims to discover closed-form mathematical expressions that accurately describe data, offering interpretability and analytical insight beyond standard black-box models. Existing SR methods often rely on…

Machine Learning · Computer Science 2025-06-17 Mansooreh Montazerin , Majd Al Aawar , Antonio Ortega , Ajitesh Srivastava

The paradigm of data programming, which uses weak supervision in the form of rules/labelling functions, and semi-supervised learning, which augments small amounts of labelled data with a large unlabelled dataset, have shown great promise in…

Machine Learning · Computer Science 2021-06-15 Ayush Maheshwari , Oishik Chatterjee , KrishnaTeja Killamsetty , Ganesh Ramakrishnan , Rishabh Iyer

Hyperspectral images provide abundant spatial and spectral information that is very valuable for material detection in diverse areas of practical science. The high-dimensions of data lead to many processing challenges that can be addressed…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Saeideh Ghanbari Azar , Saeed Meshgini , Tohid Yousefi Rezaii , Soosan Beheshti

Data-driven sparse system identification becomes the general framework for a wide range of problems in science and engineering. It is a problem of growing importance in applied machine learning and artificial intelligence algorithms. In…

Dynamical Systems · Mathematics 2020-10-07 Abd AlRahman AlMomani , Erik Bollt

Deep neural networks often suffer from poor generalization due to complex and non-convex loss landscapes. Sharpness-Aware Minimization (SAM) is a popular solution that smooths the loss landscape by minimizing the maximized change of…

Artificial Intelligence · Computer Science 2023-07-03 Peng Mi , Li Shen , Tianhe Ren , Yiyi Zhou , Tianshuo Xu , Xiaoshuai Sun , Tongliang Liu , Rongrong Ji , Dacheng Tao
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