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Related papers: Dead Time Compensation for High-Flux Ranging

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Asynchronous single-photon LiDAR (SP-LiDAR) is an important imaging modality for high-quality 3D applications and navigation, but the modeling of the timestamp distributions of a SP-LiDAR in the presence of dead time remains a very…

Signal Processing · Electrical Eng. & Systems 2025-09-26 Weijian Zhang , Hashan K. Weerasooriya , Prateek Chennuri , Stanley H. Chan

This work derives and validates a noise model that encapsulates deadtime of non-paralyzable detectors with random photon arrivals to enable advanced processing, like maximum-likelihood estimation, of high resolution atmospheric lidar…

Signal Processing · Electrical Eng. & Systems 2025-06-12 Grant J. Kirchhoff , Matthew Hayman , Willem J. Marais , Jeffrey P. Thayer , Rory A. Barton-Grimley

Experiments aiming at high sensitivities usually demand for a very high statistics in order to reach more precise measurements. However, for those exploiting Low Temperature Detectors (LTDs), a high source activity may represent a drawback,…

Data Analysis, Statistics and Probability · Physics 2022-07-28 Matteo Borghesi , Marco Faverzani , Cecilia Ferrari , Elena Ferri , Andrea Giachero , Angelo Nucciotti , Luca Origo

We consider the task of filtering a dynamic parameter evolving as a diffusion process, given data collected at discrete times from a likelihood which is conjugate to the marginal law of the diffusion, when a generic dual process on a…

Probability · Mathematics 2023-11-29 Guillaume Kon Kam King , Andrea Pandolfi , Marco Piretto , Matteo Ruggiero

In the realm of autonomous vehicle technologies and advanced driver assistance systems, precise and reliable path tracking controllers are vital for safe and efficient navigation. However the presence of dead time in the vehicle control…

Systems and Control · Electrical Eng. & Systems 2025-07-10 Karin Festl , Michael Stolz

In Markov networks, measurement blackouts with unknown frequency compromise observations such that thermodynamic quantities can no longer be inferred reliably. In particular, the observed currents neither discern equilibrium from…

Statistical Mechanics · Physics 2025-11-19 Alexander M. Maier , Benjamin Häsler , Udo Seifert

We investigate power spectra of a randomly sampled stationary stochastic signal, e.g. a spatial component of a turbulent velocity. We extend the methods of previous authors that basically assumed point or delta function sampling by…

Fluid Dynamics · Physics 2019-06-14 Preben Buchhave , Clara M. Velte , William K. George

We study the policy evaluation problem in multi-agent reinforcement learning, modeled by a Markov decision process. In this problem, the agents operate in a common environment under a fixed control policy, working together to discover the…

Optimization and Control · Mathematics 2020-01-13 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Current and next-generation particle tracking detectors will incorporate precision timing capabilities with resolutions approaching tens of picoseconds. Using Technology Computer-Aided Design (TCAD) simulations of Low-Gain Avalanche Diode…

Lidar with direct time-of-flight (dToF) technology based on single-photon avalanche diode detectors (SPAD) has been widely adopted in various applications. However, a comprehensive theoretical understanding of its fundamental ranging…

Optics · Physics 2025-10-09 Hao Wu , Shiyi Sun , Lijie Zhao , Yingyu Wang , Limin Tong , Linjie Shen

In the continuity of a recent paper ([6]), dealing with finite Markov chains, this paper proposes and analyzes a recursive algorithm for the approximation of the quasi-stationary distribution of a general Markov chain living on a compact…

Probability · Mathematics 2017-11-15 Michel Benaim , Bertrand Cloez , Fabien Panloup

While many acoustic systems are well-modelled by linear time-invariant dynamical systems, high-fidelity models often become computationally expensive due the complexity of dynamics. Reduced order modelling techniques, such as the…

Dynamical Systems · Mathematics 2025-06-11 Art J. R. Pelling , Ennes Sarradj

Discrete-time discrete-state finite Markov chains are versatile mathematical models for a wide range of real-life stochastic processes. One of most common tasks in studies of Markov chains is computation of the stationary distribution.…

Numerical Analysis · Mathematics 2022-09-07 Konstantin Avrachenkov , Patrick Brown , Nelly Litvak

Large-scale neutrino observatories operate under unavoidable detector deadtime arising from photomultiplier saturation, digitizer limits, and front-end readout constraints. Conventional coincidence-based trigger logic implicitly assumes…

Instrumentation and Detectors · Physics 2026-01-27 Thammarat Yawisit , Pittaya Pannil

In this work, we propose explicit state-space based fault detection, isolation and estimation filters that are data-driven and are directly identified and constructed from only the system input-output (I/O) measurements and through…

Systems and Control · Computer Science 2016-10-20 Esmaeil Naderi , Khashayar Khorasani

Modern photon counting pixel detectors enabled a revolution in applications at synchrotron light sources and beyond in the last decade. One of the limitations of current detectors is reduced counting linearity or even paralysis at high…

Instrumentation and Detectors · Physics 2019-11-20 Gabriel Blaj

Systems of interacting continuous-time Markov chains are a powerful model class, but inference is typically intractable in high dimensional settings. Auxiliary information, such as noisy observations, is typically only available at discrete…

Machine Learning · Statistics 2026-04-21 Giosue Migliorini , Padhraic Smyth

We study the accurate and efficient computation of the expected number of times each state is visited in discrete- and continuous-time Markov chains. To obtain sound accuracy guarantees efficiently, we lift interval iteration and…

Logic in Computer Science · Computer Science 2024-02-21 Hannah Mertens , Joost-Pieter Katoen , Tim Quatmann , Tobias Winkler

In this paper, we study the finite-sample statistical rates of distributional temporal difference (TD) learning with linear function approximation. The purpose of distributional TD learning is to estimate the return distribution of a…

Machine Learning · Statistics 2025-11-18 Kaicheng Jin , Yang Peng , Jiansheng Yang , Zhihua Zhang

In this paper, we study the finite-sample statistical rates of distributional temporal difference (TD) learning with linear function approximation. The aim of distributional TD learning is to estimate the return distribution of a discounted…

Machine Learning · Statistics 2025-05-14 Yang Peng , Kaicheng Jin , Liangyu Zhang , Zhihua Zhang
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