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Abnormal stop detection (ASD) in intercity coach transportation is critical for ensuring passenger safety, operational reliability, and regulatory compliance. However, two key challenges hinder ASD effectiveness: sparse GPS trajectories,…

Machine Learning · Computer Science 2025-10-15 Muhammad Ayub Sabir , Junbiao Pang , Jiaqi Wu , Fatima Ashraf

This paper studies the sparse identification problem of unknown sparse parameter vectors in stochastic dynamic systems. Firstly, a novel sparse identification algorithm is proposed, which can generate sparse estimates based on least squares…

Optimization and Control · Mathematics 2024-04-02 Ziming Wang , Xinghua Zhu

We propose Network Automatic Relevance Determination (NARD), an extension of ARD for linearly probabilistic models, to simultaneously model sparse relationships between inputs $X \in \mathbb R^{d \times N}$ and outputs $Y \in \mathbb R^{m…

Artificial Intelligence · Computer Science 2025-08-20 Hongwei Zhang , Ziqi Ye , Xinyuan Wang , Xin Guo , Zenglin Xu , Yuan Cheng , Zixin Hu , Yuan Qi

In this paper, we obtain improved running times for regression and top eigenvector computation for numerically sparse matrices. Given a data matrix $A \in \mathbb{R}^{n \times d}$ where every row $a \in \mathbb{R}^d$ has $\|a\|_2^2 \leq L$…

Data Structures and Algorithms · Computer Science 2018-11-28 Neha Gupta , Aaron Sidford

A large class of non-smooth practical optimization problems can be written as minimization of a sum of smooth and partly smooth functions. We examine such structured problems which also depend on a parameter vector and study the problem of…

Optimization and Control · Mathematics 2024-10-28 Sheheryar Mehmood , Peter Ochs

Machine learning (ML) models are widely used in many important domains. For efficiently processing these computational- and memory-intensive applications, tensors of these over-parameterized models are compressed by leveraging sparsity,…

Hardware Architecture · Computer Science 2021-08-11 Shail Dave , Riyadh Baghdadi , Tony Nowatzki , Sasikanth Avancha , Aviral Shrivastava , Baoxin Li

In this paper, we propose an adaptive sieving (AS) strategy for solving general sparse machine learning models by effectively exploring the intrinsic sparsity of the solutions, wherein only a sequence of reduced problems with much smaller…

Optimization and Control · Mathematics 2025-04-28 Yancheng Yuan , Meixia Lin , Defeng Sun , Kim-Chuan Toh

Algorithmic differentiation (AD) has become increasingly capable and straightforward to use. However, AD is inefficient when applied directly to solvers, a feature of most engineering analyses. We can leverage implicit differentiation to…

Optimization and Control · Mathematics 2023-06-28 Andrew Ning , Taylor McDonnell

As the perception range of LiDAR expands, LiDAR-based 3D object detection contributes ever-increasingly to the long-range perception in autonomous driving. Mainstream 3D object detectors often build dense feature maps, where the cost is…

Computer Vision and Pattern Recognition · Computer Science 2023-01-09 Lue Fan , Yuxue Yang , Feng Wang , Naiyan Wang , Zhaoxiang Zhang

Embeddings provide compact representations of signals in order to perform efficient inference in a wide variety of tasks. In particular, random projections are common tools to construct Euclidean distance-preserving embeddings, while…

Data Structures and Algorithms · Computer Science 2019-09-05 Diego Valsesia , Sophie Marie Fosson , Chiara Ravazzi , Tiziano Bianchi , Enrico Magli

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

Robustness and compactness are two essential attributes of deep learning models that are deployed in the real world. The goals of robustness and compactness may seem to be at odds, since robustness requires generalization across domains,…

Machine Learning · Computer Science 2024-03-14 Anna Bair , Hongxu Yin , Maying Shen , Pavlo Molchanov , Jose Alvarez

High-dimensional data has become ubiquitous across the sciences but presents computational and statistical challenges. A common approach to addressing these challenges is through sparsity. In this paper, we introduce a new concept of…

Statistics Theory · Mathematics 2025-09-03 Ali Mohades , Johannes Lederer

Sparse tensors are prevalent in many data-intensive applications, yet existing differentiable programming frameworks are tailored towards dense tensors. This presents a significant challenge for efficiently computing gradients through…

Programming Languages · Computer Science 2023-03-14 Amir Shaikhha , Mathieu Huot , Shideh Hashemian

In recent years, Dynamic Sparse Training (DST) has emerged as an alternative to post-training pruning for generating efficient models. In principle, DST allows for a more memory efficient training process, as it maintains sparsity…

Machine Learning · Computer Science 2025-02-11 Nasib Ullah , Erik Schultheis , Mike Lasby , Yani Ioannou , Rohit Babbar

Recent studies in the literature have paid much attention to the sparsity in linear classification tasks. One motivation of imposing sparsity assumption on the linear discriminant direction is to rule out the noninformative features, making…

Machine Learning · Statistics 2015-01-13 Dong Xia

Machine/deep-learning (ML/DL) based techniques are emerging as a driving force behind many cutting-edge technologies, achieving high accuracy on computer vision workloads such as image classification and object detection. However, training…

Hidden Markov models (HMMs) are powerful tools for analysing time series data that depend on discrete underlying but unobserved states. As such, they have gained prominence across numerous empirical disciplines, in particular ecology,…

Methodology · Statistics 2026-03-19 Jan-Ole Fischer

This paper introduces a sparse matrix discrete interpolation method to effectively compute matrix approximations in the reduced order modeling framework. The sparse algorithm developed herein relies on the discrete empirical interpolation…

Numerical Analysis · Mathematics 2015-06-16 Răzvan Ştefănescu , Adrian Sandu

Hamiltonian matrix prediction is pivotal in computational chemistry, serving as the foundation for determining a wide range of molecular properties. While SE(3) equivariant graph neural networks have achieved remarkable success in this…

Machine Learning · Computer Science 2025-05-23 Erpai Luo , Xinran Wei , Lin Huang , Yunyang Li , Han Yang , Zaishuo Xia , Zun Wang , Chang Liu , Bin Shao , Jia Zhang