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This paper considers an anomaly detection problem in which a detection algorithm assigns anomaly scores to multi-dimensional data points, such as cellular networks' Key Performance Indicators (KPIs). We propose an optimization framework to…

Information Theory · Computer Science 2023-09-01 Ali Maatouk , Fadhel Ayed , Wenjie Li , Yu Wang , Hong Zhu , Jiantao Ye

When causal quantities cannot be point identified, researchers often pursue partial identification to quantify the range of possible values. However, the peculiarities of applied research conditions can make this analytically intractable.…

Methodology · Statistics 2021-09-29 Guilherme Duarte , Noam Finkelstein , Dean Knox , Jonathan Mummolo , Ilya Shpitser

We consider the inverse source problem in the parabolic equation, where the unknown source possesses the semi-discrete formulation. Theoretically, we prove that the flux data from any nonempty open subset of the boundary can uniquely…

Numerical Analysis · Mathematics 2022-11-23 Guang Lin , Zecheng Zhang , Zhidong Zhang

This work is dedicated to a novel sampling method for accurately reconstructing elastic and electromagnetic sources from the far field patterns. We show that the proposed indicators in the form of integrals with full far field patterns are…

Numerical Analysis · Mathematics 2025-03-11 Xiaodong Liu , Qingxiang Shi

This work deals with an inverse source problem for the biharmonic wave equation. A two-stage numerical method is proposed to identify the unknown source from the multi-frequency phaseless data. In the first stage, we introduce some…

Numerical Analysis · Mathematics 2024-01-08 Yan Chang , Yukun Guo , Yue Zhao

Today, creators of data-hungry deep neural networks (DNNs) scour the Internet for training fodder, leaving users with little control over or knowledge of when their data is appropriated for model training. To empower users to counteract…

Cryptography and Security · Computer Science 2023-02-28 Emily Wenger , Xiuyu Li , Ben Y. Zhao , Vitaly Shmatikov

This paper is concerned with reconstructing an acoustic obstacle and its excitation sources from the phaseless near-field measurements. By supplementing some artificial sources to the inverse scattering system, this co-inversion problem can…

Numerical Analysis · Mathematics 2022-12-20 Deyue Zhang , Yue Wu , Yukun Guo

Physics-informed neural networks have emerged as a prominent new method for solving differential equations. While conceptually straightforward, they often suffer training difficulties that lead to relatively large discretization errors or…

Mathematical Physics · Physics 2024-03-13 Shivam Arora , Alex Bihlo , Francis Valiquette

A key challenge in solving the deterministic inverse reinforcement learning (IRL) problem online and in real-time is the existence of multiple solutions. Nonuniqueness necessitates the study of the notion of equivalent solutions, i.e.,…

Systems and Control · Electrical Eng. & Systems 2024-05-31 Jared Town , Zachary Morrison , Rushikesh Kamalapurkar

With the rise of neural models across the field of information retrieval, numerous publications have incrementally pushed the envelope of performance for a multitude of IR tasks. However, these networks often sample data in random order,…

Information Retrieval · Computer Science 2018-06-12 Daniel Cohen , Scott M. Jordan , W. Bruce Croft

We address the problem of super-resolution of point sources from binary measurements, where random projections of the blurred measurement of the actual signal are encoded using only the sign information. The threshold used for binary…

Information Theory · Computer Science 2016-06-14 Subhadip Mukherjee , Anjany Kumar Sekuboyina , Chandra Sekhar Seelamantula

The matrix rank minimization problem has applications in many fields such as system identification, optimal control, low-dimensional embedding, etc. As this problem is NP-hard in general, its convex relaxation, the nuclear norm minimization…

Optimization and Control · Mathematics 2011-01-04 Donald Goldfarb , Shiqian Ma

In this paper we propose a method of obtaining points of extreme overfitting - parameters of modern neural networks, at which they demonstrate close to 100 % training accuracy, simultaneously with almost zero accuracy on the test sample.…

Machine Learning · Computer Science 2020-04-03 Daniil Merkulov , Ivan Oseledets

Localizing the source of graph diffusion phenomena, such as misinformation propagation, is an important yet extremely challenging task. Existing source localization models typically are heavily dependent on the hand-crafted rules.…

Social and Information Networks · Computer Science 2022-06-22 Junxiang Wang , Junji Jiang , Liang Zhao

We address a core problem of computer vision: Detection and description of 2D feature points for image matching. For a long time, hand-crafted designs, like the seminal SIFT algorithm, were unsurpassed in accuracy and efficiency. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Aritra Bhowmik , Stefan Gumhold , Carsten Rother , Eric Brachmann

This paper presents a solution for multi source localization using only angle of arrival measurements. The receiver platform is in motion, while the sources are assumed to be stationary. Although numerous methods exist for single source…

Signal Processing · Electrical Eng. & Systems 2025-06-13 Mustafa Atahan Nuhoglu , Hakan Ali Cirpan

This paper explores combinatorial optimization for problems of max-weight graph matching on multi-partite graphs, which arise in integrating multiple data sources. Entity resolution-the data integration problem of performing noisy joins on…

Databases · Computer Science 2014-02-04 Duo Zhang , Benjamin I. P. Rubinstein , Jim Gemmell

The problem of identifying the source of a propagation based on limited observations has been studied significantly in recent years, as it can help reducing the damage caused by unwanted infections. In this paper we present an efficient…

Social and Information Networks · Computer Science 2018-08-17 Shabnam Behzad , Arman Sepehr , Hamid Beigy , Mohammadzaman Zamani

Many challenging image processing tasks can be described by an ill-posed linear inverse problem: deblurring, deconvolution, inpainting, compressed sensing, and superresolution all lie in this framework. Traditional inverse problem solvers…

Computer Vision and Pattern Recognition · Computer Science 2019-06-05 Davis Gilton , Greg Ongie , Rebecca Willett

We introduce a neural network architecture to solve inverse problems linked to a one-dimensional integral operator. This architecture is built by unfolding a forward-backward algorithm derived from the minimization of an objective function…

Optimization and Control · Mathematics 2021-06-01 Emilie Chouzenoux , Cecile Della Valle , Jean-Christophe Pesquet