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Hidden Markov models (HMMs) are probabilistic functions of finite Markov chains, or, put in other words, state space models with finite state space. In this paper, we examine subspace estimation methods for HMMs whose output lies a finite…

统计理论 · 数学 2009-11-20 Sofia Andersson , Tobias Rydén

The hidden Markov model (HMM) is a fundamental tool for sequence modeling that cleanly separates the hidden state from the emission structure. However, this separation makes it difficult to fit HMMs to large datasets in modern NLP, and they…

计算与语言 · 计算机科学 2020-11-10 Justin T. Chiu , Alexander M. Rush

Many state of the art methods for the thermodynamic and kinetic characterization of large and complex biomolecular systems by simulation rely on ensemble approaches, where data from large numbers of relatively short trajectories are…

数据分析、统计与概率 · 物理学 2017-04-05 Feliks Nüske , Hao Wu , Jan-Hendrik Prinz , Christoph Wehmeyer , Cecilia Clementi , Frank Noé

We demonstrate the application of pattern recognition algorithms via hidden Markov models (HMM) for qubit readout. This scheme provides a state-path trajectory approach capable of detecting qubit state transitions and makes for a robust…

量子物理 · 物理学 2021-01-04 Luis A. Martinez , Yaniv J. Rosen , Jonathan L. DuBois

Markov state models (MSMs) have been successful in computing metastable states, slow relaxation timescales and associated structural changes, and stationary or kinetic experimental observables of complex molecules from large amounts of…

化学物理 · 物理学 2015-06-17 Frank Noe , Hao Wu , Jan-Hendrik Prinz , Nuria Plattner

This paper introduces a decentralized state-dependent Markov chain synthesis (DSMC) algorithm for finite-state Markov chains. We present a state-dependent consensus protocol that achieves exponential convergence under mild technical…

最优化与控制 · 数学 2024-04-29 Samet Uzun , Nazim Kemal Ure , Behcet Acikmese

State-space models (SSM) with Markov switching offer a powerful framework for detecting multiple regimes in time series, analyzing mutual dependence and dynamics within regimes, and asserting transitions between regimes. These models…

统计方法学 · 统计学 2021-06-14 David Degras , Chee-Ming Ting , Hernando Ombao

We develop a semi-parametric state-space model for time-series data with latent regime transitions. Classical Markov-switching models use fixed parametric transition functions, such as logistic or probit links, which restrict flexibility…

机器学习 · 统计学 2026-04-08 Prakul Sunil Hiremath

We propose a SCHMM LMPC framework, integrating Semi Continuous Hidden Markov Models with Lyapunov based Model Predictive Control, for distributed optimal control of multi agent systems under network imperfections. The SCHMM captures the…

最优化与控制 · 数学 2025-12-04 Loaie Solyman , Aamir Ahmad , Ayman El-Badawy

In this paper, we present an approach to identify linear parameter-varying (LPV) systems with a state-space (SS) model structure in an innovation form where the coefficient functions have static and affine dependency on the scheduling…

系统与控制 · 计算机科学 2020-09-10 Pepijn B. Cox , Roland Tóth

The problem of state communication over a discrete memoryless channel with discrete memoryless state is studied when the state information is available strictly causally at the encoder. It is shown that block Markov encoding, in which the…

信息论 · 计算机科学 2015-03-20 Chiranjib Choudhuri , Young-Han Kim , Urbashi Mitra

Visible light communication (VLC) has the potential to supplement the growing demand for wireless connectivity. In order to realise the full potential of VLC, channel models are required Discrete channel models based on semi-hidden Markov…

信号处理 · 电气工程与系统科学 2019-02-20 Daniel G. Holmes , Ling Cheng , Mulundumina Shimaponda-Nawa , Ayokunle D. Familua , Adnan M. Abu-Mahfouz

I describe a new Markov chain method for sampling from the distribution of the state sequences in a non-linear state space model, given the observation sequence. This method updates all states in the sequence simultaneously using an…

概率论 · 数学 2007-05-23 Radford M. Neal

State space models (SSMs) provide a flexible framework for modeling complex time series via a latent stochastic process. Inference for nonlinear, non-Gaussian SSMs is often tackled with particle methods that do not scale well to long time…

机器学习 · 统计学 2023-07-18 Christopher Aicher , Srshti Putcha , Christopher Nemeth , Paul Fearnhead , Emily B. Fox

Hidden Markov models (HMMs) and partially observable Markov decision processes (POMDPs) form a useful tool for modeling dynamical systems. They are particularly useful for representing environments such as road networks and office…

人工智能 · 计算机科学 2013-01-30 Hagit Shatkay

Hidden Markov models (HMM) have been widely used by scientists to model stochastic systems: the underlying process is a discrete Markov chain and the observations are noisy realizations of the underlying process. Determining the number of…

统计理论 · 数学 2024-07-18 Yang Chen , Cheng-Der Fuh , Chu-Lan Michael Kao

We consider Markov models of stochastic processes where the next-step conditional distribution is defined by a kernel density estimator (KDE), similar to Markov forecast densities and certain time-series bootstrap schemes. The KDE Markov…

机器学习 · 计算机科学 2018-07-31 Gustav Eje Henter , Arne Leijon , W. Bastiaan Kleijn

State space models have long played an important role in signal processing. The Gaussian case can be treated algorithmically using the famous Kalman filter. Similarly since the 1970s there has been extensive application of Hidden Markov…

统计理论 · 数学 2007-06-13 Peter Bickel , Yaacov Ritov , Tobias Rydén

The Hidden Markov Model (HMM) can predict the future value of a time series based on its current and previous values, making it a powerful algorithm for handling various types of time series. Numerous studies have explored the improvement…

机器学习 · 计算机科学 2024-02-28 YeXin Huang

We introduce the Markov Stochastic Block Model (MSBM): a growth model for community based networks where node attributes are assigned through a Markovian dynamic. We rely on HMMs' literature to design prediction methods that are robust to…

社会与信息网络 · 计算机科学 2023-01-09 Quentin Duchemin