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We study the problem of distributed zero-order optimization for a class of strongly convex functions. They are formed by the average of local objectives, associated to different nodes in a prescribed network of connections. We propose a…

Optimization and Control · Mathematics 2021-06-29 Arya Akhavan , Massimiliano Pontil , Alexandre B. Tsybakov

Indoor positioning faces ongoing challenges due to complex propagation conditions, such as multipath propagation, signal blockages, and intrinsic target characteristics that substantially impact measurement reliability and positioning…

Signal Processing · Electrical Eng. & Systems 2026-03-23 Maximiliano Rivera Figueroa , Jannis Held , Pradyumna Kumar Bishoyi , Marina Petrova

In this paper, we address the problem of how to robustly train a ConvNet for regression, or deep robust regression. Traditionally, deep regression employs the L2 loss function, known to be sensitive to outliers, i.e. samples that either lie…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Stéphane Lathuilière , Pablo Mesejo , Xavier Alameda-Pineda , Radu Horaud

Robustly and accurately localizing objects in real-world environments can be challenging due to noisy data, hardware limitations, and the inherent randomness of physical systems. To account for these factors, existing works estimate the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Moussa Kassem Sbeyti , Michelle Karg , Christian Wirth , Azarm Nowzad , Sahin Albayrak

Rare data in a large-scale database are called outliers that reveal significant information in the real world. The subspace-based outlier detection is regarded as a feasible approach in very high dimensional space. However, the outliers…

Artificial Intelligence · Computer Science 2014-05-06 Zhana Bao

We consider the problem of clustering datasets in the presence of arbitrary outliers. Traditional clustering algorithms such as k-means and spectral clustering are known to perform poorly for datasets contaminated with even a small number…

Machine Learning · Statistics 2021-02-02 Prateek R. Srivastava , Purnamrita Sarkar , Grani A. Hanasusanto

Modern machine learning-based recognition approaches require large-scale datasets with large number of labelled training images. However, such datasets are inherently difficult and costly to collect and annotate. Hence there is a great and…

Machine Learning · Computer Science 2019-12-30 Yanwei Fu , De-An Huang , Leonid Sigal

Model mis-specification (e.g. the presence of outliers) is commonly encountered in astronomical analyses, often requiring the use of ad hoc algorithms which are sensitive to arbitrary thresholds (e.g. sigma-clipping). For any given dataset,…

Instrumentation and Methods for Astrophysics · Physics 2025-09-03 William Martin , Daniel J. Mortlock

Aggregating data from multiple sources can be formalized as an Optimal Transport (OT) barycenter problem, which seeks to compute the average of probability distributions with respect to OT discrepancies. However, in real-world scenarios,…

Machine Learning · Statistics 2025-04-15 Milena Gazdieva , Jaemoo Choi , Alexander Kolesov , Jaewoong Choi , Petr Mokrov , Alexander Korotin

This short communication addresses the problem of elliptic localization with outlier measurements. Outliers are prevalent in various location-enabled applications, and can significantly compromise the positioning performance if not…

Signal Processing · Electrical Eng. & Systems 2024-09-04 Wenxin Xiong , Yuming Chen , Jiajun He , Zhang-Lei Shi , Keyuan Hu , Hing Cheung So , Chi-Sing Leung

When data are stored across multiple locations, directly pooling all the data together for statistical analysis may be impossible due to communication costs and privacy concerns. Distributed computing systems allow the analysis of such…

Methodology · Statistics 2025-02-27 Xian Li , Xuan Liang , A. H. Welsh , Tao Zou

We show how to turn any classifier that classifies well under Gaussian noise into a new classifier that is certifiably robust to adversarial perturbations under the $\ell_2$ norm. This "randomized smoothing" technique has been proposed…

Machine Learning · Computer Science 2019-06-18 Jeremy M Cohen , Elan Rosenfeld , J. Zico Kolter

Many algorithms have been proposed to predict missing links in a variety of real networks. These studies focus on mainly both accuracy and efficiency of these algorithms. However, little attention is paid to their robustness against either…

Physics and Society · Physics 2013-02-26 Liang Wang , Ke Hu , Yi Tang

Distributed aggregation allows the derivation of a given global aggregate property from many individual local values in nodes of an interconnected network system. Simple aggregates such as minima/maxima, counts, sums and averages have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-09 Miguel Borges , Paulo Jesus , Carlos Baquero , Paulo Sérgio Almeida

Coping with outliers contaminating dynamical processes is of major importance in various applications because mismatches from nominal models are not uncommon in practice. In this context, the present paper develops novel fixed-lag and…

Systems and Control · Computer Science 2018-11-29 Shahrokh Farahmand , Georgios B. Giannakis , Daniele Angelosante

Deep neural networks provide excellent performance for inverse problems such as denoising. However, neural networks can be sensitive to adversarial or worst-case perturbations. This raises the question of whether such networks can be…

Machine Learning · Computer Science 2023-07-25 Anselm Krainovic , Mahdi Soltanolkotabi , Reinhard Heckel

Consensus clustering aggregates partitions in order to find a better fit by reconciling clustering results from different sources/executions. In practice, there exist noise and outliers in clustering task, which, however, may significantly…

Machine Learning · Computer Science 2023-01-03 Deguang Kong , Miao Lu , Konstantin Shmakov , Jian Yang

We study the robustness of accelerated first-order algorithms to stochastic uncertainties in gradient evaluation. Specifically, for unconstrained, smooth, strongly convex optimization problems, we examine the mean-squared error in the…

Optimization and Control · Mathematics 2020-02-21 Hesameddin Mohammadi , Meisam Razaviyayn , Mihailo R. Jovanović

We propose a distributed algorithm for time synchronization in mobile wireless sensor networks. Each node can employ the algorithm to estimate the global time based on its local clock time. The problem of time synchronization is formulated…

Systems and Control · Computer Science 2014-12-30 Chenda Liao , Prabir Barooah

Ultra-dense networks (UDNs) represent a transformative access architecture for upcoming sixth generation (6G) systems, poised to meet the surging demand for high data rates. Achieving precise synchronization across diverse base stations…

Multiagent Systems · Computer Science 2025-04-08 Debjani Goswami , Indrakshi Dey , Nicola Marchetti , Suvra Sekhar Das