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Hidden Markov Models (HMM) have been used for several years in many time series analysis or pattern recognitions tasks. HMM are often trained by means of the Baum-Welch algorithm which can be seen as a special variant of an expectation…

机器学习 · 计算机科学 2016-05-30 Christian Gruhl , Bernhard Sick

Understanding how stochastic gene expression is regulated in biological systems using snapshots of single-cell transcripts requires state-of-the-art methods of computational analysis and statistical inference. A Bayesian approach to…

定量方法 · 定量生物学 2018-12-10 Yen Ting Lin , Nicolas E. Buchler

In the context of dynamic emission tomography, the conventional processing pipeline consists of independent image reconstruction of single time frames, followed by the application of a suitable kinetic model to time activity curves (TACs)…

应用统计 · 统计学 2018-08-28 Michele Scipioni , Stefano Pedemonte , Maria Filomena Santarelli , Luigi Landini

Measuring the F\"{o}rster resonance energy transfer (FRET) efficiency of freely diffusing single molecules provides information about the sampled conformational states of the molecules. Under equilibrium conditions, the distribution of the…

生物物理 · 物理学 2020-08-28 Marijn de Boer

Stochastic differential equation mixed-effects models (SDEMEMs) are flexible hierarchical models that are able to account for random variability inherent in the underlying time-dynamics, as well as the variability between experimental units…

统计计算 · 统计学 2021-01-22 Samuel Wiqvist , Andrew Golightly , Ashleigh T. McLean , Umberto Picchini

Interactions among multiple time series of positive random variables are crucial in diverse financial applications, from spillover effects to volatility interdependence. A popular model in this setting is the vector Multiplicative Error…

统计计算 · 统计学 2021-07-12 Nicola Donelli , Stefano Peluso , Antonietta Mira

Biological systems commonly exhibit complex spatiotemporal patterns whose underlying generative mechanisms pose a significant analytical challenge. Traditional approaches to spatiodynamic inference rely on dimensionality reduction through…

定量方法 · 定量生物学 2025-08-01 Jun Won Park , Kangyu Zhao , Sanket Rane

Structural equation modeling (SEM) is a popular tool in the social and behavioural sciences, where it is being applied to ever more complex data types. The high-dimensional data produced by modern sensors, brain images, or (epi)genetic…

统计方法学 · 统计学 2019-10-11 Erik-Jan van Kesteren , Daniel L. Oberski

This paper introduces a novel graph signal processing framework for building graph-based models from classes of filtered signals. In our framework, graph-based modeling is formulated as a graph system identification problem, where the goal…

机器学习 · 计算机科学 2018-03-08 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

In this paper, we first propose a Bayesian neighborhood selection method to estimate Gaussian Graphical Models (GGMs). We show the graph selection consistency of this method in the sense that the posterior probability of the true model…

应用统计 · 统计学 2015-07-08 Zhixiang Lin , Tao Wang , Can Yang , Hongyu Zhao

This work proposes an algorithmic framework to learn time-varying graphs from online data. The generality offered by the framework renders it model-independent, i.e., it can be theoretically analyzed in its abstract formulation and then…

机器学习 · 计算机科学 2022-05-25 Alberto Natali , Elvin Isufi , Mario Coutino , Geert Leus

Modeling the time-varying covariance structures of high-dimensional variables is critical across diverse scientific and industrial applications; however, existing approaches exhibit notable limitations in either modeling flexibility or…

统计方法学 · 统计学 2026-01-21 Taehee Lee , Jun S. Liu

Functional data analysis finds widespread application across various fields. While functional data are intrinsically infinite-dimensional, in practice, they are observed only at a finite set of points, typically over a dense grid. As a…

统计方法学 · 统计学 2025-10-29 Ana Carolina da Cruz , Camila P. E. de Souza , Pedro H. T. O. Sousa

Energy-based models for discrete domains, such as graphs, explicitly capture relative likelihoods, naturally enabling composable probabilistic inference tasks like conditional generation or enforcing constraints at test-time. However,…

One of the major successes in computational biology has been the unification, using the graphical model formalism, of a multitude of algorithms for annotating and comparing biological sequences. Graphical models that have been applied…

基因组学 · 定量生物学 2009-11-10 Lior Pachter , Bernd Sturmfels

Electromagnetic (EM) body models designed to predict Radio-Frequency (RF) propagation are time-consuming methods which prevent their adoption in strict real-time computational imaging problems, such as human body localization and sensing.…

信号处理 · 电气工程与系统科学 2024-05-16 Federica Fieramosca , Vittorio Rampa , Michele D'Amico , Stefano Savazzi

I review single-molecule experiments (SME) in biological physics. Recent technological developments have provided the tools to design and build scientific instruments of high enough sensitivity and precision to manipulate and visualize…

软凝聚态物质 · 物理学 2016-08-31 F. Ritort

Modeling heterogeneous correlated time series requires the ability to learn hidden dynamic relationships between component time series with possibly varying periodicities and generative processes. To address this challenge, we formulate and…

统计方法学 · 统计学 2025-12-02 Jeshwanth Mohan , Bharath Ramsundar , Sandya Subramanian

Phenotypic variability in a population of cells can work as the bet-hedging of the cells under an unpredictably changing environment, the typical example of which is the bacterial persistence. To understand the strategy to control such…

种群与进化 · 定量生物学 2019-12-02 So Nakashima , Yuki Sughiyama , Tetsuya J. Kobayashi

Biological foundation models have shown strong performance in single-cell representation learning by applying transformer architectures directly to gene-expression matrices. However, these approaches predominantly operate in static settings…

机器学习 · 计算机科学 2026-05-28 Manuel Dileo , Andrea Sottoriva