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We revisit the method of cumulants for analysing dynamic light scattering data in particle sizing applications. Here the data, in the form of the time correlation function of scattered light, is written as a series involving the first few…

Soft Condensed Matter · Physics 2015-04-27 Alastair G. Mailer , Paul S. Clegg , Peter N. Pusey

Biomarker measurements obtained by blood sampling are often used as a non-invasive means of monitoring tumour progression in cancer patients. Diseases evolve dynamically over time, and studying longitudinal observations of specific…

Applications · Statistics 2025-03-14 Alice Cleynen , Benoîte de Saporta , Amélie Vernay

Motivated by single-particle cryo-electron microscopy, we study the sample complexity of the multi-target detection (MTD) problem, in which an unknown signal appears multiple times at unknown locations within a long, noisy observation. We…

Signal Processing · Electrical Eng. & Systems 2026-03-31 Kweku Abraham , Amnon Balanov , Tamir Bendory , Carlos Esteve-Yagüe

In this work, we study the real-time tracking and reconstruction of an information source with the purpose of actuation. A device monitors the state of the information source and transmits status updates to a receiver over a wireless…

Information Theory · Computer Science 2023-02-28 Mehrdad Salimnejad , Marios Kountouris , Nikolaos Pappas

This paper presents a significant advancement in the estimation of the Composite Link Model within a penalized likelihood framework, specifically designed to address indirect observations of grouped count data. While the model is effective…

Methodology · Statistics 2025-12-16 Carlo G. Camarda , María Durbán

This paper addresses the problem of distributed detection in multi-agent networks. Agents receive private signals about an unknown state of the world. The underlying state is globally identifiable, yet informative signals may be dispersed…

Optimization and Control · Mathematics 2014-10-01 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

The problem of detecting a sinusoidal signal with randomly varying frequency has a long history. It is one of the core problems in signal processing, arising in many applications including, for example, underwater acoustic frequency line…

Signal Processing · Electrical Eng. & Systems 2022-11-16 Changrong Liu , S. Suvorova , R. J. Evans , B. Moran , A. Melatos

This paper examines the problem of state estimation in power distribution systems under low-observability conditions. The recently proposed constrained matrix completion method which combines the standard matrix completion method and power…

Optimization and Control · Mathematics 2020-06-09 Yajing Liu , April Sagan , Andrey Bernstein , Rui Yang , Xinyang Zhou , Yingchen Zhang

Filtering is concerned with the sequential estimation of the state, and uncertainties, of a Markovian system, given noisy observations. It is particularly difficult to achieve accurate filtering in complex dynamical systems, such as those…

Probability · Mathematics 2015-12-14 Wonjung Lee , Andrew Stuart

The exact Markov modeling analysis of erasure networks with finite buffers is an extremely hard problem due to the large number of states in the system. In such networks, packets are lost due to either link erasures or blocking by the full…

Information Theory · Computer Science 2010-12-14 Nima Torabkhani , Badri N. Vellambi , Faramarz Fekri

Inference in hidden Markov model has been challenging in terms of scalability due to dependencies in the observation data. In this paper, we utilize the inherent memory decay in hidden Markov models, such that the forward and backward…

Machine Learning · Statistics 2025-01-14 Felix X. -F. Ye , Yi-an Ma , Hong Qian

Reinforcement learning algorithms typically rely on the assumption that the environment dynamics and value function can be expressed in terms of a Markovian state representation. However, when state information is only partially observable,…

Efficient operation of distribution grids in the smart-grid era is hindered by the limited presence of real-time nodal and line meters. In particular, this prevents the easy estimation of grid topology and associated line parameters that…

Systems and Control · Computer Science 2020-03-03 Sejun Park , Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Reinforcement learning (RL) tackles sequential decision-making problems by creating agents that interacts with their environment. However, existing algorithms often view these problem as static, focusing on point estimates for model…

Machine Learning · Statistics 2024-03-21 Frank Shih , Faming Liang

We study the stationary sojourn time distribution in an M/G/1 queue operating under heavy traffic. It is known that the sojourn time converges to an exponential distribution in the limit. Our focus is on obtaining pre-asymptotic,…

Probability · Mathematics 2026-01-21 Bihan Chatterjee , Siva Theja Maguluri , Debankur Mukherjee

We propose a general procedure for the detector-response correction (including efficiency correction) of higher order cumulants observed by the event-by-event analysis in heavy-ion collisions. This method makes use of the moments of the…

Data Analysis, Statistics and Probability · Physics 2018-10-17 Toshihiro Nonaka , Masakiyo Kitazawa , ShinIchi Esumi

The recent introduction of synchrophasor technology into power distribution systems has given impetus to various monitoring, diagnostic, and control applications, such as system identification and event detection, which are crucial for…

Systems and Control · Computer Science 2020-09-17 Omid Ardakanian , Ye Yuan , Roel Dobbe , Alexandra von Meier , Steven Low , Claire Tomlin

Radio frequency sources are observed at a fusion center via sensor measurements made over slow flat-fading channels. The number of sources may be larger than the number of sensors, but their activity is sparse and intermittent with bursty…

Signal Processing · Electrical Eng. & Systems 2019-08-07 Annan Dong , Osvaldo Simeone , Alexander Haimovich , Jason Dabin

Imprecise continuous-time Markov chains are a robust type of continuous-time Markov chains that allow for partially specified time-dependent parameters. Computing inferences for them requires the solution of a non-linear differential…

Probability · Mathematics 2018-10-11 Alexander Erreygers , Jasper De Bock

The advanced operation of future electricity distribution systems is likely to require significant observability of the different parameters of interest (e.g., demand, voltages, currents, etc.). Ensuring completeness of data is, therefore,…

Systems and Control · Computer Science 2017-08-07 Cristian Genes , Iñaki Esnaola , Samir. M. Perlaza , Luis F. Ochoa , Daniel Coca
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