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Extracting the underlying low-dimensional space where high-dimensional signals often reside has long been at the center of numerous algorithms in the signal processing and machine learning literature during the past few decades. At the same…

In this paper, we address the problem of predicting complex, nonlinear spatiotemporal dynamics when available data is recorded at irregularly-spaced sparse spatial locations. Most of the existing deep learning models for modeling…

Machine Learning · Computer Science 2022-07-13 Priyabrata Saha , Saibal Mukhopadhyay

Missing data are ubiquitous in real world applications and, if not adequately handled, may lead to the loss of information and biased findings in downstream analysis. Particularly, high-dimensional incomplete data with a moderate sample…

Machine Learning · Computer Science 2022-12-23 Zongyu Dai , Zhiqi Bu , Qi Long

Spatio-temporal point process models play a central role in the analysis of spatially distributed systems in several disciplines. Yet, scalable inference remains computa- tionally challenging both due to the high resolution modelling…

Machine Learning · Statistics 2015-07-07 Botond Cseke , Andrew Zammit Mangion , Tom Heskes , Guido Sanguinetti

Missing values frequently arise in modern biomedical studies due to various reasons, including missing tests or complex profiling technologies for different omics measurements. Missing values can complicate the application of clustering…

Machine Learning · Statistics 2019-02-27 Shahin Boluki , Siamak Zamani Dadaneh , Xiaoning Qian , Edward R. Dougherty

Multivariate spatio-temporal data arise more and more frequently in a wide range of applications; however, there are relatively few general statistical methods that can readily use that incorporate spatial, temporal and variable…

Methodology · Statistics 2017-11-15 Elynn Yi Chen , Qiwei Yao , Rong Chen

Indoor location-based services rely on the availability of sufficiently accurate positioning in indoor spaces. A popular approach to positioning relies on so-called radio maps that contain pairs of a vector of Wi-Fi signal strength…

Databases · Computer Science 2023-03-01 Xiao Li , Huan Li , Harry Kai-Ho Chan , Hua Lu , Christian S. Jensen

Advancements in data collection techniques and the heterogeneity of data resources can yield high percentages of missing observations on variables, such as block-wise missing data. Under missing-data scenarios, traditional methods such as…

Methodology · Statistics 2022-05-17 Wei Lan , Xuerong Chen , Tao Zou , Chih-Ling Tsai

Factorizing low-rank matrices is a problem with many applications in machine learning and statistics, ranging from sparse PCA to community detection and sub-matrix localization. For probabilistic models in the Bayes optimal setting, general…

Information Theory · Computer Science 2018-12-07 Jean Barbier , Mohamad Dia , Nicolas Macris , Florent Krzakala , Lenka Zdeborová

Packing and covering semidefinite programs (SDPs) appear in natural relaxations of many combinatorial optimization problems as well as a number of other applications. Recently, several techniques were proposed, that utilize the particular…

Data Structures and Algorithms · Computer Science 2019-02-19 Khaled Elbassioni , Kazuhisa Makino

Sensor networks are particularly applicable to the tracking of objects in motion. For such applications, it may not necessary that the whole region be covered by sensors as long as the uncovered region is not too large. This notion has been…

Networking and Internet Architecture · Computer Science 2010-02-26 Swaminathan Sankararaman , Alon Efrat , Srinivasan Ramasubramanian , Javad Taheri

Longitudinal or panel data can be represented as a matrix with rows indexed by units and columns indexed by time. We consider inferential questions associated with the missing data version of panel data induced by staggered adoption. We…

Statistics Theory · Mathematics 2024-07-02 Yuling Yan , Martin J. Wainwright

Score matching is a vital tool for learning the distribution of data with applications across many areas including diffusion processes, energy based modelling, and graphical model estimation. Despite all these applications, little work…

Machine Learning · Statistics 2025-06-03 Josh Givens , Song Liu , Henry W J Reeve

Sparsity, defined as the presence of missing or zero values in a dataset, often poses a major challenge while operating on real-life datasets. Sparsity in features or target data of the training dataset can be handled using various…

Modern large scale datasets are often plagued with missing entries. For tabular data with missing values, a flurry of imputation algorithms solve for a complete matrix which minimizes some penalized reconstruction error. However, almost…

Machine Learning · Statistics 2021-01-20 Yuxuan Zhao , Madeleine Udell

We formulate the sparse classification problem of $n$ samples with $p$ features as a binary convex optimization problem and propose a cutting-plane algorithm to solve it exactly. For sparse logistic regression and sparse SVM, our algorithm…

Optimization and Control · Mathematics 2025-01-08 Dimitris Bertsimas , Jean Pauphilet , Bart Van Parys

Missing values, widely called as \textit{sparsity} in literature, is a common characteristic of many real-world datasets. Many imputation methods have been proposed to address this problem of data incompleteness or sparsity. However, the…

Machine Learning · Computer Science 2022-07-28 Vishwas Choudhary , Binay Gupta , Anirban Chatterjee , Subhadip Paul , Kunal Banerjee , Vijay Agneeswaran

Multivariate time series with missing values are common in areas such as healthcare and finance, and have grown in number and complexity over the years. This raises the question whether deep learning methodologies can outperform classical…

Machine Learning · Statistics 2020-02-21 Vincent Fortuin , Dmitry Baranchuk , Gunnar Rätsch , Stephan Mandt

Event cameras capture sparse, asynchronous brightness changes which offer high temporal resolution, high dynamic range, low power consumption, and sparse data output. These advantages make them ideal for Space Situational Awareness,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Sami Arja , Alexandre Marcireau , Nicholas Owen Ralph , Saeed Afshar , Gregory Cohen

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
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