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We consider the problem of detecting a `bump' in the intensity of a Poisson process or in a density. We analyze two types of likelihood ratio based statistics which allow for exact finite sample inference and asymptotically optimal…

Methodology · Statistics 2014-02-26 Camilo Rivera , Guenther Walther

We propose a probabilistic formulation that enables sequential detection of multiple change points in a network setting. We present a class of sequential detection rules for certain functionals of change points (minimum among a subset), and…

Statistics Theory · Mathematics 2012-07-09 Arash Ali Amini , XuanLong Nguyen

Computational level explanations based on optimal feedback control with signal-dependent noise have been able to account for a vast array of phenomena in human sensorimotor behavior. However, commonly a cost function needs to be assumed for…

Machine Learning · Computer Science 2021-10-22 Matthias Schultheis , Dominik Straub , Constantin A. Rothkopf

Conditions on the generator of a Markov process to control the fluctuations of its bridges are found. In particular, continuous time random walks on graphs and gradient diffusions are considered. Under these conditions, a concentration of…

Probability · Mathematics 2016-03-08 Giovanni Conforti

In this paper, we consider the problem of detecting signals in multiple, sequentially observed data streams. For each stream, the exact distribution is unknown, but characterized by a parameter that takes values in either of two disjoint…

Methodology · Statistics 2025-07-30 Yiming Xing , Anamitra Chaudhuri , Yifan Chen

In the modern age of social media and networks, graph representations of real-world phenomena have become an incredibly useful source to mine insights. Often, we are interested in understanding how entities in a graph are interconnected.…

Machine Learning · Computer Science 2021-12-16 Aneesh Komanduri , Justin Zhan

We present a data-driven deep neural algorithm for detecting deceptive walking behavior using nonverbal cues like gaits and gestures. We conducted an elaborate user study, where we recorded many participants performing tasks involving…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Tanmay Randhavane , Uttaran Bhattacharya , Kyra Kapsaskis , Kurt Gray , Aniket Bera , Dinesh Manocha

For a multi-agent system state estimation resting upon noisy measurements constitutes a problem related to several application scenarios. Adopting the standard least-squares approach, in this work we derive both the (centralized) analytic…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Marco Fabris , Giulia Michieletto , Angelo Cenedese

Recent attention in quickest change detection in the multi-sensor setting has been on the case where the densities of the observations change at the same instant at all the sensors due to the disruption. In this work, a more general…

Information Theory · Computer Science 2016-11-18 Vasanthan Raghavan , Venugopal V. Veeravalli

The paper addresses a sequential changepoint detection problem, assuming that the duration of change may be finite and unknown. This problem is of importance for many applications, e.g., for signal and image processing where signals appear…

Statistics Theory · Mathematics 2021-06-09 Alexander G. Tartakovsky , Nikita R. Berenkov , Alexei E. Kolessa , Igor V. Nikiforov

This research considers Bayesian decision-analytic approaches toward the traversal of an uncertain graph. Namely, a traveler progresses over a graph in which rewards are gained upon a node's first visit and costs are incurred for every edge…

Artificial Intelligence · Computer Science 2025-03-11 William N. Caballero , Phillip R. Jenkins , David Banks , Matthew Robbins

A graph-based sampling and consensus (GraphSAC) approach is introduced to effectively detect anomalous nodes in large-scale graphs. Existing approaches rely on connectivity and attributes of all nodes to assign an anomaly score per node.…

Machine Learning · Computer Science 2019-10-23 Vassilis N. Ioannidis , Dimitris Berberidis , Georgios B. Giannakis

Resistive random-access memory is one of the most promising candidates for the next generation of non-volatile memory technology. However, its crossbar structure causes severe "sneak-path" interference, which also leads to strong inter-cell…

Information Theory · Computer Science 2021-01-26 Guanghui Song , Kui Cai , Ce Sun , Xingwei Zhong , Jun Cheng

We define a dynamical simple symmetric random walk in one dimension, and show that there almost surely exist exceptional times at which the walk tends to infinity. This is in contrast to the usual dynamical simple symmetric random walk in…

Probability · Mathematics 2019-11-19 Martin Prigent , Matthew I. Roberts

We study exploration properties of a random walk on a network. For a fully connected network we find that the problem can be mapped to the well known coupon collector problem, thus allowing us to estimate form of $P(S,t)$: the distribution…

Physics and Society · Physics 2026-04-24 Sarvesh K. Upadhyay , Trifce Sandev , Sanjay Kumar , R. K. Singh

Graphs are useful structures that can model several important real-world problems. Recently, learning graphs have drawn considerable attention, leading to the proposal of new methods for learning these data structures. One of these studies…

Machine Learning · Computer Science 2020-01-07 Amir Jalilifard , Vinicius Caridá , Alex Mansano , Rogers Cristo

Our goal is to quickly find top $k$ lists of nodes with the largest degrees in large complex networks. If the adjacency list of the network is known (not often the case in complex networks), a deterministic algorithm to find a node with the…

Data Structures and Algorithms · Computer Science 2012-02-16 Konstantin Avrachenkov , Nelly Litvak , Marina Sokol , Don Towsley

Estimating characteristics of large graphs via sampling is a vital part of the study of complex networks. Current sampling methods such as (independent) random vertex and random walks are useful but have drawbacks. Random vertex sampling…

Data Structures and Algorithms · Computer Science 2010-09-08 Bruno Ribeiro , Don Towsley

We study random walk on complex networks with transition probabilities which depend on the current and previously visited nodes. By using an absorbing Markov chain we derive an exact expression for the mean first passage time between pairs…

Physics and Society · Physics 2024-11-14 Lasko Basnarkov , Miroslav Mirchev , Ljupco Kocarev

This paper considers a new framework to detect communities in a graph from the observation of signals at its nodes. We model the observed signals as noisy outputs of an unknown network process, represented as a graph filter that is excited…

Social and Information Networks · Computer Science 2019-04-16 Hoi-To Wai , Santiago Segarra , Asuman E. Ozdaglar , Anna Scaglione , Ali Jadbabaie
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