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Recent work in Deep Learning has re-imagined the representation of data as functions mapping from a coordinate space to an underlying continuous signal. When such functions are approximated by neural networks this introduces a compelling…

Machine Learning · Statistics 2022-08-09 Jonathan Richard Schwarz , Yee Whye Teh

This work proposes a procedure for designing algorithms for specific adaptive data collection tasks like active learning and pure-exploration multi-armed bandits. Unlike the design of traditional adaptive algorithms that rely on…

Machine Learning · Computer Science 2025-03-11 Jifan Zhang , Lalit Jain , Kevin Jamieson

A fundamental task for artificial intelligence is learning. Deep Neural Networks have proven to cope perfectly with all learning paradigms, i.e. supervised, unsupervised, and reinforcement learning. Nevertheless, traditional deep learning…

Artificial Intelligence · Computer Science 2021-03-03 Decebal Constantin Mocanu , Elena Mocanu , Tiago Pinto , Selima Curci , Phuong H. Nguyen , Madeleine Gibescu , Damien Ernst , Zita A. Vale

We consider the problem of sparse atomic optimization, where the notion of "sparsity" is generalized to meaning some linear combination of few atoms. The definition of atomic set is very broad; popular examples include the standard basis,…

Optimization and Control · Mathematics 2019-12-30 Thomas Zhang

Balancing predictive power and interpretability has long been a challenging research area, particularly in powerful yet complex models like neural networks, where nonlinearity obstructs direct interpretation. This paper introduces a novel…

Machine Learning · Computer Science 2025-02-20 Antoine Ledent , Peng Liu

This paper proposes an adaptive near-field beam training method to enhance performance in multi-user and multipath environments. The approach identifies multiple strongest beams through beam sweeping and linearly combines their received…

Signal Processing · Electrical Eng. & Systems 2025-05-14 Zijun Wang , Rama Kiran , Jinesh Nair , Chien-Hua Chen , Tzu-Han Chou , Shawn Tsai , Rui Zhang

Sparsity-aware training is an effective approach for transforming large language models (LLMs) into hardware-friendly sparse patterns, thereby reducing latency and memory consumption during inference. In this paper, we propose Continuous…

Machine Learning · Computer Science 2025-10-01 Weiyu Huang , Yuezhou Hu , Jun Zhu , Jianfei Chen

This paper proposes a sparse regression method that continuously interpolates between Forward Stepwise selection (FS) and the LASSO. When tuned appropriately, our solutions are much sparser than typical LASSO fits but, unlike FS fits,…

Methodology · Statistics 2024-11-20 Ivy Zhang , Robert Tibshirani

Large sparse symmetric linear systems appear in several branches of science and engineering thanks to the widespread use of the finite element method (FEM). The fastest sparse linear solvers available implement hybrid iterative methods.…

Machine Learning · Computer Science 2022-03-15 Luca Grementieri , Paolo Galeone

In several applications, input samples are more naturally represented in terms of similarities between each other, rather than in terms of feature vectors. In these settings, machine-learning algorithms can become very computationally…

Computer Vision and Pattern Recognition · Computer Science 2017-12-19 Ambra Demontis , Marco Melis , Battista Biggio , Giorgio Fumera , Fabio Roli

Oversampled adaptive sensing (OAS) is a recently proposed Bayesian framework which sequentially adapts the sensing basis. In OAS, estimation quality is, in each step, measured by conditional mean squared errors (MSEs), and the basis for the…

Information Theory · Computer Science 2018-11-16 Ralf R. Müller , Ali Bereyhi , Christoph F. Mecklenbräuker

Under extreme operating conditions, characterized by high particle multiplicity and heavily overlapping shower energy deposits, classical particle flow algorithms encounter pronounced limitations in resolution, efficiency, and accuracy. To…

Instrumentation and Detectors · Physics 2025-05-13 Yu Wang , Yangguang Zhang , Shengxiang Lin , Xingyi Zhang , Han Zhang

This work presents a systematic analysis and extension of the sparse radial basis function network (SparseRBFnet) previously introduced for solving nonlinear partial differential equations (PDEs). Based on its adaptive-width shallow kernel…

Numerical Analysis · Mathematics 2026-01-27 Zihan Shao , Konstantin Pieper , Xiaochuan Tian

Sparse linear regression is a central problem in high-dimensional statistics. We study the correlated random design setting, where the covariates are drawn from a multivariate Gaussian $N(0,\Sigma)$, and we seek an estimator with small…

Data Structures and Algorithms · Computer Science 2023-05-29 Jonathan Kelner , Frederic Koehler , Raghu Meka , Dhruv Rohatgi

Deep Neural Networks are powerful tools for solving machine learning problems, but their training often involves dense and costly parameter updates. In this work, we use a novel Max-Plus neural architecture in which classical addition and…

Machine Learning · Statistics 2026-03-05 Ikhlas Enaieh , Olivier Fercoq

We consider the problem of learning a low-dimensional signal model from a collection of training samples. The mainstream approach would be to learn an overcomplete dictionary to provide good approximations of the training samples using…

Numerical Analysis · Mathematics 2015-06-05 Mehrdad Yaghoobi , Sangnam Nam , Remi Gribonval , Mike E. Davies

In deep learning it is common to overparameterize neural networks, that is, to use more parameters than training samples. Quite surprisingly training the neural network via (stochastic) gradient descent leads to models that generalize very…

Optimization and Control · Mathematics 2025-01-30 Hung-Hsu Chou , Johannes Maly , Holger Rauhut

When deploying deep learning models to a device, it is traditionally assumed that available computational resources (compute, memory, and power) remain static. However, real-world computing systems do not always provide stable resource…

Machine Learning · Computer Science 2021-10-11 Elvis Nunez , Maxwell Horton , Anish Prabhu , Anurag Ranjan , Ali Farhadi , Mohammad Rastegari

Most existing deep multi-task learning models are based on parameter sharing, such as hard sharing, hierarchical sharing, and soft sharing. How choosing a suitable sharing mechanism depends on the relations among the tasks, which is not…

Computation and Language · Computer Science 2019-11-19 Tianxiang Sun , Yunfan Shao , Xiaonan Li , Pengfei Liu , Hang Yan , Xipeng Qiu , Xuanjing Huang

Finding neural network weights that generalize well from small datasets is difficult. A promising approach is to learn a weight initialization such that a small number of weight changes results in low generalization error. We show that this…