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Spectral methods are popular in detecting global structures in the given data that can be represented as a matrix. However when the data matrix is sparse or noisy, classic spectral methods usually fail to work, due to localization of…

Machine Learning · Statistics 2016-09-12 Pan Zhang

Rapid progress in representation learning has led to a proliferation of embedding models, and to associated challenges of model selection and practical application. It is non-trivial to assess a model's generalizability to new, candidate…

Machine Learning · Computer Science 2022-02-18 Leo Betthauser , Urszula Chajewska , Maurice Diesendruck , Rohith Pesala

We study the convergence of a variant of distributed gradient descent (DGD) on a distributed low-rank matrix approximation problem wherein some optimization variables are used for consensus (as in classical DGD) and some optimization…

Optimization and Control · Mathematics 2018-12-27 Zhihui Zhu , Qiuwei Li , Xinshuo Yang , Gongguo Tang , Michael B. Wakin

Passive radar systems can detect and track the moving targets of interest by exploiting non-cooperative illuminators-of-opportunity to transmit orthogonal frequency division multiplexing (OFDM) signals. These targets are searched using a…

Optimization and Control · Mathematics 2023-02-21 Mengjiao Shi , Yunhai Xiao , Peili Li

Accurate prediction of pedestrian trajectories is crucial for improving the safety of autonomous driving. However, this task is generally nontrivial due to the inherent stochasticity of human motion, which naturally requires the predictor…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Ge Sun , Sheng Wang , Lei Zhu , Ming Liu , Jun Ma

We consider the setting where a master wants to run a distributed stochastic gradient descent (SGD) algorithm on $n$ workers, each having a subset of the data. Distributed SGD may suffer from the effect of stragglers, i.e., slow or…

Machine Learning · Computer Science 2022-08-08 Serge Kas Hanna , Rawad Bitar , Parimal Parag , Venkat Dasari , Salim El Rouayheb

When machine learning models are deployed on a test distribution different from the training distribution, they can perform poorly, but overestimate their performance. In this work, we aim to better estimate a model's performance under…

Machine Learning · Computer Science 2020-07-08 Ching-Yao Chuang , Antonio Torralba , Stefanie Jegelka

Generalized Category Discovery (GCD) is a pragmatic and challenging open-world task, which endeavors to cluster unlabeled samples from both novel and old classes, leveraging some labeled data of old classes. Given that knowledge learned…

Computer Vision and Pattern Recognition · Computer Science 2024-03-08 Shijie Ma , Fei Zhu , Zhun Zhong , Xu-Yao Zhang , Cheng-Lin Liu

This paper is devoted to the study of the general linear hypothesis testing (GLHT) problem of multi-sample high-dimensional mean vectors. For the GLHT problem, we introduce a test statistic based on $L^2$-norm and random integration method,…

Statistics Theory · Mathematics 2024-10-22 Mingxiang Cao , Yelong Qiu , Junyong Park

This paper addresses the problem of detecting a moving target embedded in Gaussian noise with an unknown covariance matrix for frequency diverse array multiple-input multiple-output (FDA-MIMO) radar. To end it, assume that obtaining a set…

Signal Processing · Electrical Eng. & Systems 2024-03-22 Ping Li , Bang Huang , Wen-Qin Wang

Missing data is a pervasive problem in data analyses, resulting in datasets that contain censored realizations of a target distribution. Many approaches to inference on the target distribution using censored observed data, rely on missing…

Machine Learning · Statistics 2019-07-02 Rohit Bhattacharya , Razieh Nabi , Ilya Shpitser , James M. Robins

Despite the significant research efforts on trajectory prediction for automated driving, limited work exists on assessing the prediction reliability. To address this limitation we propose an approach that covers two sources of error, namely…

Robotics · Computer Science 2023-08-07 Julian Wiederer , Julian Schmidt , Ulrich Kressel , Klaus Dietmayer , Vasileios Belagiannis

Due to the widespread deployment of Global Navigation Satellite Systems (GNSSs) for critical road or urban applications, one of the major challenges to be solved is the provision of integrity to terrestrial environments, so that GNSS may be…

Information Theory · Computer Science 2018-10-15 Daniel Egea-Roca , Gonzalo Seco-Granados , José A. López-Salcedo , H. Vincent Poor

This paper studies linear time-invariant descriptor systems which are not necessarily regular. We introduce the notion of partial detectability and characterize this concept by means of a simple rank criterion involving the system…

Optimization and Control · Mathematics 2023-01-25 Juhi Jaiswal , Thomas Berger , Nutan Kumar Tomar

We review the experimental as well as the phenomenology status of Generalized Parton Distributions (GPDs), focusing on recent data on Deeply Virtual Compton Scattering and Deep Virtual Meson Production. We also describe the various…

High Energy Physics - Experiment · Physics 2012-07-20 Franck Sabatié , Hervé Moutarde

In this work, we study the challenging problem of identifying the irregular status of objects from images in an "open world" setting, that is, distinguishing the irregular status of an object category from its regular status as well as…

Computer Vision and Pattern Recognition · Computer Science 2016-02-16 Peng Wang , Lingqiao Liu , Chunhua Shen , Anton van den Hengel , Heng Tao Shen

To ensure reliable object detection in autonomous systems, the detector must be able to adapt to changes in appearance caused by environmental factors such as time of day, weather, and seasons. Continually adapting the detector to…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Anh-Dzung Doan , Bach Long Nguyen , Surabhi Gupta , Ian Reid , Markus Wagner , Tat-Jun Chin

Stochastic Gradient Descent (SGD) has become popular for solving large scale supervised machine learning optimization problems such as SVM, due to their strong theoretical guarantees. While the closely related Dual Coordinate Ascent (DCA)…

Machine Learning · Statistics 2015-03-20 Shai Shalev-Shwartz , Tong Zhang

Data-driven predictive control (DPC) is becoming an attractive alternative to model predictive control as it requires less system knowledge for implementation and reliable data is increasingly available in smart engineering systems. Two…

Optimization and Control · Mathematics 2023-04-05 M. Lazar , P. C. N. Verheijen

An important problem in space-time adaptive detection is the estimation of the large p-by-p interference covariance matrix from training signals. When the number of training signals n is greater than 2p, existing estimators are generally…

Signal Processing · Electrical Eng. & Systems 2021-07-26 Benjamin D. Robinson , Robert Malinas , Alfred O. Hero
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