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The correspondence between the telegraph random process and transport within a binary stochastic Markovian mixture is established. This equivalence is used to derive the distribution function for the transit length, defined as the distance…

Mathematical Physics · Physics 2024-12-30 Brian C. Kiedrowski , Emily H. Vu

This paper studies iterative schemes for measure transfer and approximation problems, which are defined through a slicing-and-matching procedure. Similar to the sliced Wasserstein distance, these schemes benefit from the availability of…

Numerical Analysis · Mathematics 2026-03-17 Shiying Li , Caroline Moosmueller , Yongzhe Wang

We propose a new method of instance-level microtubule (MT) tracking in time-lapse image series using recurrent attention. Our novel deep learning algorithm segments individual MTs at each frame. Segmentation results from successive frames…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Samira Masoudi , Afsaneh Razi , Cameron H. G. Wright , Jay C. Gatlin , Ulas Bagci

Molecular dynamics simulations have become essential in many areas of atomistic modelling from drug discovery to materials science. They provide critical atomic-level insights into key dynamical events experiments cannot easily capture.…

Biological Physics · Physics 2024-06-14 Tiejun Wei , Balint Dudas , Edina Rosta

Advances in experimental techniques allow the collection of high-resolution spatio-temporal data that track individual motile entities. These tracking data can be used to calibrate mathematical models describing the motility of individual…

Methodology · Statistics 2025-08-21 Arianna Ceccarelli , Alexander P. Browning , Tai Chaiamarit , Ilan Davis , Ruth E. Baker

Single-cell RNA sequencing (scRNA-seq) technologies have enabled the profiling of gene expression for a collection of cells across time during a dynamic biological process. Given that each time point provides only a static snapshot,…

Applications · Statistics 2025-06-16 Binghao Yan , Hongzhe Li

We investigate theoretically how single-molecule spectroscopy techniques can be used to perform fast and high resolution displacement detection and manipulation of nanomechanical oscillators, such as singly clamped carbon nanotubes. We…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Vadim Puller , Brahim Lounis , Fabio Pistolesi

We have previously shown that Good-Turing statistics can be applied to molecular dynamics trajectories to estimate the probability of observing completely new (thus far unobserved) biomolecular structures, and showed that the method is…

Quantitative Methods · Quantitative Biology 2026-01-05 Vasiliki Tsampazi , Nicholas M. Glykos

We propose a new Bayesian tracking and parameter learning algorithm for non-linear non-Gaussian multiple target tracking (MTT) models. We design a Markov chain Monte Carlo (MCMC) algorithm to sample from the posterior distribution of the…

Applications · Statistics 2015-10-28 Lan Jiang , Sumeetpal S. Singh , Sinan Yıldırım

Multiobject tracking (MOT) is an important task in applications including autonomous driving, ocean sciences, and aerospace surveillance. Traditional MOT methods are model-based and combine sequential Bayesian estimation with data…

Machine Learning · Computer Science 2026-01-14 Shaoxiu Wei , Mingchao Liang , Florian Meyer

We discuss a method for tracking individual molecules which globally optimizes the likelihood of the connections between molecule positions fast and with high reliability even for high spot densities and blinking molecules. Our method works…

Computer Vision and Pattern Recognition · Computer Science 2013-04-01 Andreas Karrenbauer , Dominik Wöll

Bayesian variable selection requires sampling from a posterior distribution that combines discrete model indicators with continuously varying parameters, a challenge often addressed through reversible jump Markov chain Monte Carlo (RJMCMC).…

Methodology · Statistics 2026-05-01 Don van den Bergh , Merlise A. Clyde , Adrian E. Raftery , Maarten Marsman

Additive spatial statistical models with weakly stationary process assumptions have become standard in spatial statistics. However, one disadvantage of such models is the computation time, which rapidly increases with the number of data…

Methodology · Statistics 2024-10-18 Sudipto Saha , Jonathan R. Bradley

Distance metric learning (DML) is an important task that has found applications in many domains. The high computational cost of DML arises from the large number of variables to be determined and the constraint that a distance metric has to…

Machine Learning · Computer Science 2013-04-05 Qi Qian , Rong Jin , Jinfeng Yi , Lijun Zhang , Shenghuo Zhu

Data analytics helps basketball teams to create tactics. However, manual data collection and analytics are costly and ineffective. Therefore, we applied a deep bidirectional long short-term memory (BLSTM) and mixture density network (MDN)…

Artificial Intelligence · Computer Science 2018-02-14 Yu Zhao , Rennong Yang , Guillaume Chevalier , Rajiv Shah , Rob Romijnders

Direct simulation of biomolecular dynamics in thermal equilibrium is challenging due to the metastable nature of conformation dynamics and the computational cost of molecular dynamics. Biased or enhanced sampling methods may improve the…

Chemical Physics · Physics 2015-06-12 Benjamin Trendelkamp-Schroer , Frank Noe

Creating 3D models through the Structure from Motion technique is a recognized, efficient, cost-effective structural monitoring strategy. This technique is applied in several engineering fields, particularly for creating models of large…

Computer Vision and Pattern Recognition · Computer Science 2024-09-25 Francisco Roza de Moraes , Irineu da Silva

Cell migration, which is strictly regulated by intracellular and extracellular cues, is crucial for normal physiological processes and the progression of certain diseases. However, there is a lack of an efficient approach to analyze…

Biological Physics · Physics 2025-04-11 Yanping Liu , Dui Qin , Xinwei Li , Guoqiang Li , Zhichao Liu , Kena Song , Wei Wang , Zhangyong Li

We propose a robust parameter estimation method for dynamical systems based on Statistical Learning techniques which aims to estimate a set of parameters that well fit the dynamics in order to obtain robust evidences about the qualitative…

Methodology · Statistics 2021-02-26 Diego Marcondes