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The article studies segmentation problem (also known as classification problem) with pairwise Markov models (PMMs). A PMM is a process where the observation process and underlying state sequence form a two-dimensional Markov chain, it is a…

统计方法学 · 统计学 2022-03-22 Kristi Kuljus , Jüri Lember

There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the traditional HMM. However, in many settings the HDP-HMM's strict Markovian constraints are…

机器学习 · 计算机科学 2012-03-19 Matthew J. Johnson , Alan Willsky

This paper considers a co-design problem for industrial networked control systems to ensure both the stability and efficiency properties of such systems. The assurance of such properties is particularly challenging due to the fact that…

系统与控制 · 电气工程与系统科学 2020-12-01 Bin Hu , Tua A. Tamba

This paper introduces the hhsmm R package, which involves functions for initializing, fitting, and predication of hidden hybrid Markov/semi-Markov models. These models are flexible models with both Markovian and semi-Markovian states, which…

统计计算 · 统计学 2022-05-31 Morteza Amini , Afarin Bayat , Reza Salehian

Hidden Markov Models are widely used in classical computer science to model stochastic processes with a wide range of applications. This paper concerns the quantum analogues of these machines --- so-called Hidden Quantum Markov Models…

量子物理 · 物理学 2015-03-05 Lewis A. Clark , Wei Huang , Thomas M. Barlow , Almut Beige

Consider a stationary discrete random process with alphabet size d, which is assumed to be the output process of an unknown stationary Hidden Markov Model (HMM). Given the joint probabilities of finite length strings of the process, we are…

机器学习 · 计算机科学 2015-12-15 Qingqing Huang , Rong Ge , Sham Kakade , Munther Dahleh

As one of Bayesian analysis tools, Hidden Markov Model (HMM) has been used to in extensive applications. Most HMMs are solved by Baum-Welch algorithm (BWHMM) to predict the model parameters, which is difficult to find global optimal…

机器学习 · 统计学 2018-11-09 L. Chang , Yacine Ouzrout , Antoine Nongaillard , Abdelaziz Bouras

Hidden Markov Model (HMM) combined with Gaussian Process (GP) emission can be effectively used to estimate the hidden state with a sequence of complex input-output relational observations. Especially when the spectral mixture (SM) kernel is…

机器学习 · 计算机科学 2020-01-08 Yohan Jung , Jinkyoo Park

In this paper, we develop methods of nonlinear filtering and prediction of an unobservable Markov chain with a finite set of states. This Markov chain controls coefficients of AR(p) model. Using observations generated by AR(p) model we have…

概率论 · 数学 2015-03-10 Vasily Vasilyev , Alexander Dobrovidov

Shannon theory models communication as the reliable transfer of symbol sequences, with performance governed by capacity and rate-distortion limits. When both endpoints possess strong predictors -- as in modern large language models and…

信息论 · 计算机科学 2026-02-12 Ozgur Ercetin , Mohaned Chraiti

We propose the Gaussian-Linear Hidden Markov model (GLHMM), a generalisation of different types of HMMs commonly used in neuroscience. In short, the GLHMM is a general framework where linear regression is used to flexibly parameterise the…

We consider an energy storage problem involving a wind farm with a forecasted power output, a stochastic load, an energy storage device, and a connection to the larger power grid with stochastic prices. Electricity prices and wind power…

最优化与控制 · 数学 2020-02-04 Joseph L. Durante , Juliana Nascimento , Warren B. Powell

Classical medium access control (MAC) protocols are interpretable, yet their task-agnostic control signaling messages (CMs) are ill-suited for emerging mission-critical applications. By contrast, neural network (NN) based protocol models…

信息论 · 计算机科学 2022-07-11 Sejin Seo , Jihong Park , Seung-Woo Ko , Jinho Choi , Mehdi Bennis , Seong-Lyun Kim

Motivated by applications arising in networked systems, this work examines controlled regime-switching systems that stem from a mean-variance formulation. A main point is that the switching process is a hidden Markov chain. An additional…

最优化与控制 · 数学 2014-01-21 Zhixin Yang , George Yin , Qing Zhang

We derive a robust update rule for the online infinite hidden Markov model (iHMM) for when the streaming data contains outliers and the model is misspecified. Leveraging recent advances in generalised Bayesian inference, we define…

机器学习 · 统计学 2026-05-13 Horace Yiu , Leandro Sánchez-Betancourt , Álvaro Cartea , Gerardo Duran-Martin

The objective of this article is to study the asymptotic behavior of a new particle filtering approach in the context of hidden Markov models (HMMs). In particular, we develop an algorithm where the latent-state sequence is segmented into…

统计理论 · 数学 2014-09-16 Hock Peng Chan , Chiang Wee Heng , Ajay Jasra

The field of world modeling is fragmented, with researchers developing bespoke architectures that rarely build upon each other. We propose a framework that specifies the natural building blocks for structured world models based on the…

机器学习 · 计算机科学 2025-11-05 Lancelot Da Costa , Sanjeev Namjoshi , Mohammed Abbas Ansari , Bernhard Schölkopf

The emerging paradigm of leveraging pretrained large language models (LLMs) for time series forecasting has predominantly employed linguistic-temporal modality alignment strategies through token-level or layer-wise feature mapping. However,…

人工智能 · 计算机科学 2025-05-20 Siming Sun , Kai Zhang , Xuejun Jiang , Wenchao Meng , Qinmin Yang

In many engineering systems, proper predictive maintenance and operational control are essential to increase efficiency and reliability while reducing maintenance costs. However, one of the major challenges is that many sensors are used for…

应用统计 · 统计学 2025-12-09 Boyang Xu , Yunyi Kang , Xinyu Zhao , Hao Yan , Feng Ju

Markov Decision Processes (MDPs) are a popular class of models suitable for solving control decision problems in probabilistic reactive systems. We consider parametric MDPs (pMDPs) that include parameters in some of the transition…

计算机科学中的逻辑 · 计算机科学 2018-06-14 Sebastian Arming , Ezio Bartocci , Krishnendu Chatterjee , Joost-Pieter Katoen , Ana Sokolova