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In this paper, we take a step towards developing efficient hard thresholding methods for low-rank tensor recovery from memory-efficient linear measurements with tensorial structure. Theoretical guarantees for many standard iterative…

Numerical Analysis · Mathematics 2025-02-06 Shambhavi Suryanarayanan , Elizaveta Rebrova

We propose a distributed algorithm for sparse signal recovery in sensor networks based on Iterative Hard Thresholding (IHT). Every agent has a set of measurements of a signal x, and the objective is for the agents to recover x from their…

Information Theory · Computer Science 2013-02-22 Stacy Patterson , Yonina C. Eldar , Idit Keidar

This paper considers the optimization-based traffic allocation problem among multiple end points in connectionless networks. The network utility function is modeled as a non-concave function, since it is the best description of the quality…

Optimization and Control · Mathematics 2017-03-01 Jingyao Wang , Mahmoud Ashour , Constantino Lagoa , Necdet Aybat , Hao Che , Zhisheng Duan

Introducing Internet traffic anomaly detection mechanism based on large deviations results for empirical measures. Using past traffic traces we characterize network traffic during various time-of-day intervals, assuming that it is…

Networking and Internet Architecture · Computer Science 2013-08-27 A. S. Syed Navaz , S. Gopalakrishnan , R. Meena

The real-world effectiveness of deep neural networks often depends on their latency, thereby necessitating optimization techniques that can reduce a model's inference time while preserving its performance. One popular approach is to…

Machine Learning · Computer Science 2024-10-10 Jakob Hartmann , Guoliang He , Eiko Yoneki

Detecting malicious activity within an enterprise computer network can be framed as a temporal link prediction task: given a sequence of graphs representing communications between hosts over time, the goal is to predict which edges…

Cryptography and Security · Computer Science 2023-03-29 Corentin Larroche

Real-time prediction plays a vital role in various control systems, such as traffic congestion control and wireless channel resource allocation. In these scenarios, the predictor usually needs to track the evolution of the latent…

Optimization and Control · Mathematics 2024-08-14 Zhenting Luan , Defeng Sun , Haoning Wang , Liping Zhang

A matrix network is a family of matrices, with relatedness modeled by a weighted graph. We consider the task of completing a partially observed matrix network. We assume a novel sampling scheme where a fraction of matrices might be…

Machine Learning · Computer Science 2018-06-11 Qingyun Sun , Mengyuan Yan David Donoho , Stephen Boyd

Recovery of sparse vectors and low-rank matrices from a small number of linear measurements is well-known to be possible under various model assumptions on the measurements. The key requirement on the measurement matrices is typically the…

Numerical Analysis · Mathematics 2021-09-23 Mark A. Iwen , Deanna Needell , Michael Perlmutter , Elizaveta Rebrova

Traffic flow forecasting is of great significance for improving the efficiency of transportation systems and preventing emergencies. Due to the highly non-linearity and intricate evolutionary patterns of short-term and long-term traffic…

Machine Learning · Computer Science 2020-12-01 Xu Chen , Yuanxing Zhang , Lun Du , Zheng Fang , Yi Ren , Kaigui Bian , Kunqing Xie

Complexity of the Operations Research Theory tasks can be often diminished in cases that do not require finding the exact solution. For example, forecasting two-dimensional hierarchical time series leads us to the transportation problem…

Optimization and Control · Mathematics 2019-09-06 S. V. Rotin , I. V. Gusakov , V. Ya. Gusakov

Tensors, especially higher-order tensors, are typically represented in low-rank formats to preserve the main information of the high-dimensional data while saving memory space. In practice, only a small fraction elements in high-dimensional…

Numerical Analysis · Mathematics 2025-11-12 Chuanfu Xiao , Jiaxin Zeng

This paper focus on recovering multi-dimensional data called tensor from randomly corrupted incomplete observation. Inspired by reweighted $l_1$ norm minimization for sparsity enhancement, this paper proposes a reweighted singular value…

Computer Vision and Pattern Recognition · Computer Science 2017-07-11 Baburaj M. , Sudhish N. George

In power system dynamic simulation, up to 90% of the computational time is devoted to solve the network equations, i.e., a set of linear equations. Traditional approaches are based on sparse LU factorization, which is inherently sequential.…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Lu Zhang , Bin Wang , Vivek Sarin , Weiping Shi , P. R. Kumar , Le Xie

The convergence of many numerical optimization techniques is highly dependent on the initial guess given to the solver. To address this issue, we propose a novel approach that utilizes tensor methods to initialize existing optimization…

Robotics · Computer Science 2023-11-23 Suhan Shetty , Teguh Lembono , Tobias Loew , Sylvain Calinon

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

This study deals with the missing link prediction problem: the problem of predicting the existence of missing connections between entities of interest. We address link prediction using coupled analysis of relational datasets represented as…

Machine Learning · Computer Science 2012-08-31 Beyza Ermiş , Evrim Acar , A. Taylan Cemgil

The problem of detecting anomalies in time series from network measurements has been widely studied and is a topic of fundamental importance. Many anomaly detection methods are based on packet inspection collected at the network core…

Networking and Internet Architecture · Computer Science 2020-04-22 Ananda Streit , Gustavo H. A. Santos , Rosa Leão , Edmundo de Souza e Silva , Daniel Menasché , Don Towsley

Recent interest has developed around the problem of dynamic compressed sensing, or the recovery of time-varying, sparse signals from limited observations. In this paper, we study how the dynamics of recurrent networks, formulated as general…

Optimization and Control · Mathematics 2015-11-09 MohammadMehdi Kafashan , Anirban Nandi , ShiNung Ching

This paper proposes a supervised dimension reduction methodology for tensor data which has two advantages over most image-based prognostic models. First, the model does not require tensor data to be complete which expands its application to…

Machine Learning · Computer Science 2023-06-06 Chengyu Zhou , Xiaolei Fang