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This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

Methodology · Statistics 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

The aim of this Lecture Note is to introduce the Signal Processing (SP) community to a powerful yet still under-utilised tool: the semiparametric statistics. In short, the semiparametric framework allows us to estimate or perform hypothesis…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Stefano Fortunati

Changes, planned or unexpected, are common during the execution of real-life processes. Detecting these changes is a must for optimizing the performance of organizations running such processes. Most of the algorithms present in the…

Artificial Intelligence · Computer Science 2025-10-28 Victor Gallego-Fontenla , Juan C. Vidal , Manuel Lama

Although the standard formulations of prediction problems involve fully-observed and noiseless data drawn in an i.i.d. manner, many applications involve noisy and/or missing data, possibly involving dependence, as well. We study these…

Statistics Theory · Mathematics 2015-03-19 Po-Ling Loh , Martin J. Wainwright

Pixel detectors only record signals above a tuned threshold in order to suppress noise. As sensors become thinner, pitches decrease, and radiation damage reduces the collected charge, it is increasingly desirable to lower thresholds. By…

Instrumentation and Detectors · Physics 2019-10-02 Benjamin Nachman , Alex Spies

We address the novel problem of detecting dynamic regions in CrowdCam images, a set of still images captured by a group of people. These regions capture the most interesting parts of the scene, and detecting them plays an important role in…

Computer Vision and Pattern Recognition · Computer Science 2016-11-11 Adi Dafni , Yael Moses , Shai Avidan

It is by now established that, remarkably, the addition of noise to a nonlinear system may sometimes facilitate, rather than hamper the detection of weak signals. This phenomenon, usually referred to as stochastic resonance, was originally…

Condensed Matter · Physics 2009-10-31 Redouane Fakir

We present an efficient algorithm to compute tight upper bounds of collision probability between two objects with positional uncertainties, whose error distributions are represented with non-Gaussian forms. Our approach can handle noisy…

Robotics · Computer Science 2019-12-17 Jae Sung Park , Dinesh Manocha

Motivated by applications in high-dimensional data analysis where strong signals often stand out easily and weak ones may be indistinguishable from the noise, we develop a statistical framework to provide a novel categorization of the data…

Methodology · Statistics 2013-05-02 X. Jessie Jeng

A fundamental problem in the analysis of network data is the detection of network communities, groups of densely interconnected nodes, which may be overlapping or disjoint. Here we describe a method for finding overlapping communities based…

Social and Information Networks · Computer Science 2015-03-19 Brian Ball , Brian Karrer , M. E. J. Newman

This study explores the concept of high-density anomalies. As opposed to the traditional concept of anomalies as isolated occurrences, high-density anomalies are deviant cases positioned in the most normal regions of the data space. Such…

Machine Learning · Computer Science 2021-04-06 Ralph Foorthuis

We introduce a statistical method to detect nonlinearity and nonstationarity in time series, that works even for short sequences and in presence of noise. The method has a discrimination power similar to that of the most advanced estimators…

Chaotic Dynamics · Physics 2010-11-16 M. De Domenico , V. Latora

Learning and forecasting stochastic time series is essential in various scientific fields. However, despite the proposals of nonlinear filters and deep-learning methods, it remains challenging to capture nonlinear dynamics from a few noisy…

Methodology · Statistics 2025-02-21 Christian Donner , Anuj Mishra , Hideaki Shimazaki

Particle tracking is common in many biophysical, ecological, and micro-fluidic applications. Reliable tracking information is heavily dependent on of the system under study and algorithms that correctly determines particle position between…

Computer Vision and Pattern Recognition · Computer Science 2016-05-12 Alvaro Rodriguez , Hanqing Zhang , Krister Wiklund , Tomas Brodin , Jonatan Klaminder , Patrik Andersson , Magnus Andersson

Modeling dynamical systems plays a crucial role in capturing and understanding complex physical phenomena. When physical models are not sufficiently accurate or hardly describable by analytical formulas, one can use generic function…

Machine Learning · Computer Science 2021-06-23 Armand Jordana , Justin Carpentier , Ludovic Righetti

Robotic grasping is facing a variety of real-world uncertainties caused by non-static object states, unknown object properties, and cluttered object arrangements. The difficulty of grasping increases with the presence of more uncertainties,…

Robotics · Computer Science 2025-09-10 Hao Chen , Takuya Kiyokawa , Weiwei Wan , Kensuke Harada

The method of location and spectral estimation of weak signals on a noise background is being considered. The method is based on the optimized on order and noise dispersion autoregressive model of a sought signal. A new approach of model…

Computational Engineering, Finance, and Science · Computer Science 2007-07-03 Yu. Bunyak , O. Bunyak

This article proposes an improved trajectory optimization approach for stochastic optimal control of dynamical systems affected by measurement noise by combining optimal control with maximum likelihood techniques to improve the reduction of…

Systems and Control · Electrical Eng. & Systems 2023-12-25 Prakash Mallick , Zhiyong Chen

Time-varying linear state-space models are powerful tools for obtaining mathematically interpretable representations of neural signals. For example, switching and decomposed models describe complex systems using latent variables that evolve…

In this paper, we investigate the problem of joint searching and tracking of multiple mobile targets by a group of mobile agents. The targets appear and disappear at random times inside a surveillance region and their positions are random…

Systems and Control · Electrical Eng. & Systems 2023-02-06 Savvas Papaioannou , Panayiotis Kolios , Theocharis Theocharides , Christos G. Panayiotou , Marios M. Polycarpou