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We study high-dimensional robust statistics tasks in the streaming model. A recent line of work obtained computationally efficient algorithms for a range of high-dimensional robust estimation tasks. Unfortunately, all previous algorithms…

Data Structures and Algorithms · Computer Science 2023-05-04 Ilias Diakonikolas , Daniel M. Kane , Ankit Pensia , Thanasis Pittas

In this work, we present a combinatorial, deterministic single-pass streaming algorithm for the problem of maximizing a submodular function, not necessarily monotone, with respect to a cardinality constraint (SMCC). In the case the function…

Data Structures and Algorithms · Computer Science 2020-11-03 Alan Kuhnle

We propose a novel online learning paradigm for nonlinear-function estimation tasks based on the iterative projections in the L2 space with probability measure reflecting the stochastic property of input signals. The proposed learning…

Signal Processing · Electrical Eng. & Systems 2018-09-13 Motoya Ohnishi , Masahiro Yukawa

In this paper, we explore the possibilities and limitations of recovering sparse signals in an online fashion. Employing a mean field approximation to the Bayes recursion formula yields an online signal recovery algorithm that can be…

Information Theory · Computer Science 2016-09-21 Paulo V. Rossi , Yoshiyuki Kabashima , Jun-ichi Inoue

Gaussian processes offer a flexible kernel method for regression. While Gaussian processes have many useful theoretical properties and have proven practically useful, they suffer from poor scaling in the number of observations. In…

Machine Learning · Statistics 2021-08-26 Nick Terry , Youngjun Choe

In this paper, we develop a method which we call OnlineGCP for computing the Generalized Canonical Polyadic (GCP) tensor decomposition of streaming data. GCP differs from traditional canonical polyadic (CP) tensor decompositions as it…

Numerical Analysis · Mathematics 2021-10-28 Eric Phipps , Nick Johnson , Tamara G. Kolda

Existing high-dimensional online learning methods often face the challenge that their error bounds, or per-batch sample sizes, diverge as the number of data batches increases. To address this issue, we propose an asynchronous decomposition…

Machine Learning · Statistics 2026-03-24 Shixiang Liu , Zhifan Li , Hanming Yang , Jianxin Yin

Reconstructing a band-limited function from its finite sample data is a fundamental task in signal analysis. A Gaussian regularized Shannon sampling series has been proved to be able to achieve exponential convergence for uniform sampling.…

Signal Processing · Electrical Eng. & Systems 2022-10-10 Yunfei Yang , Haizhang Zhang

The paper explores the challenges of regression analysis in evolving data streams, an area that remains relatively underexplored compared to classification. We propose a standardized evaluation process for regression and prediction interval…

Machine Learning · Computer Science 2025-02-20 Yibin Sun , Heitor Murilo Gomes , Bernhard Pfahringer , Albert Bifet

In this paper, we consider sampling and reconstruction of signals in a reproducing kernel subspace of $L^p(\Rd), 1\le p\le \infty$, associated with an idempotent integral operator whose kernel has certain off-diagonal decay and regularity.…

Information Theory · Computer Science 2010-08-26 M. Zuhair Nashed , Qiyu Sun

We propose an online 3D semantic segmentation method that incrementally reconstructs a 3D semantic map from a stream of RGB-D frames. Unlike offline methods, ours is directly applicable to scenarios with real-time constraints, such as…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Silvan Weder , Francis Engelmann , Johannes L. Schönberger , Akihito Seki , Marc Pollefeys , Martin R. Oswald

The classical iteratively reweighted least-squares (IRLS) algorithm aims to recover an unknown signal from linear measurements by performing a sequence of weighted least squares problems, where the weights are recursively updated at each…

Machine Learning · Statistics 2024-06-06 Chiraag Kaushik , Justin Romberg , Vidya Muthukumar

Compressive sensing(CS) has drawn much attention in recent years due to its low sampling rate as well as high recovery accuracy. As an important procedure, reconstructing a sparse signal from few measurement data has been intensively…

Information Theory · Computer Science 2018-06-25 Yicong He , Fei Wang , Shiyuan Wang , Badong Chen

This paper studies streaming optimization problems that have objectives of the form $ \sum_{t=1}^Tf(\mathbf{x}_{t-1},\mathbf{x}_t)$. In particular, we are interested in how the solution $\hat{\mathbf{x} }_{t|T}$ for the $t$th frame of…

Optimization and Control · Mathematics 2022-04-26 Tomer Hamam , Justin Romberg

Compressed sensing is triggering a major evolution in signal acquisition. It consists in sampling a sparse signal at low rate and later using computational power for its exact reconstruction, so that only the necessary information is…

Statistical Mechanics · Physics 2012-06-07 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

This work proposes lossless and near-lossless compression algorithms for multi-channel biomedical signals. The algorithms are sequential and efficient, which makes them suitable for low-latency and low-power signal transmission…

Information Theory · Computer Science 2016-05-17 Ignacio Capurro , Federico Lecumberry , Álvaro Martín , Ignacio Ramírez , Eugenio Rovira , Gadiel Seroussi

This paper considers the reconstruction of digital complex baseband signals from M-periodically nonuniformly sampled real bandpass signals. With such a sampling, bandpass signals with arbitrary frequency locations can be sampled and…

Signal Processing · Electrical Eng. & Systems 2025-03-07 Hakan Johansson

This paper describes a new algorithm for computing a low-Tucker-rank approximation of a tensor. The method applies a randomized linear map to the tensor to obtain a sketch that captures the important directions within each mode, as well as…

Numerical Analysis · Mathematics 2021-05-04 Yiming Sun , Yang Guo , Charlene Luo , Joel Tropp , Madeleine Udell

Online nonparametric estimators are gaining popularity due to their efficient computation and competitive generalization abilities. An important example includes variants of stochastic gradient descent. These algorithms often take one…

Statistics Theory · Mathematics 2025-07-08 Tianyu Zhang , Jing Lei

Networks are a natural representation of complex systems across the sciences, and higher-order dependencies are central to the understanding and modeling of these systems. However, in many practical applications such as online social…

Social and Information Networks · Computer Science 2020-10-28 Nesreen K. Ahmed , Nick Duffield
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