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Hidden Markov models (HMMs) are probabilistic methods in which observations are seen as realizations of a latent Markov process with discrete states that switch over time. Moving beyond standard statistical tests, HMMs offer a statistical…

统计方法学 · 统计学 2024-03-20 S. Mildiner Moraga , E. Aarts

We search for digital biomarkers from Parkinson's Disease by observing approximate repetitive patterns matching hypothesized step and stride periodic cycles. These observations were modeled as a cycle of hidden states with randomness…

定量方法 · 定量生物学 2017-11-15 Avinash Bukkittu , Baihan Lin , Trung Vu , Itsik Pe'er

We present a decoding algorithm for quantum convolutional codes that finds the class of degenerate errors with the largest probability conditioned on a given error syndrome. The algorithm runs in time linear with the number of qubits.…

量子物理 · 物理学 2012-04-12 Emilie Pelchat , David Poulin

This work deals with the analysis of longitudinal ordinal responses. The novelty of the proposed approach is in modeling simultaneously the temporal dynamics of a latent trait of interest, measured via the observed ordinal responses, and…

统计方法学 · 统计学 2021-11-29 R. Colombi , S. Giordano , M. Kateri

Sequence analysis is being more and more widely used for the analysis of social sequences and other multivariate categorical time series data. However, it is often complex to describe, visualize, and compare large sequence data, especially…

统计计算 · 统计学 2021-03-22 Satu Helske , Jouni Helske

This paper presents a new and flexible prognostics framework based on a higher order hidden semi-Markov model (HOHSMM) for systems or components with unobservable health states and complex transition dynamics. The HOHSMM extends the basic…

应用统计 · 统计学 2020-02-14 Ying Liao , Yisha Xiang , Min Wang

Accurate online map matching is fundamental to vehicle navigation and the activation of intelligent driving functions. Current online map matching methods are prone to errors in complex road networks, especially in multilevel road area. To…

计算机视觉与模式识别 · 计算机科学 2025-05-13 Xin Bi , Zhichao Li , Yuxuan Xia , Panpan Tong , Lijuan Zhang , Yang Chen , Junsheng Fu

We construct a hybrid quantum-classical Viterbi decoder for the classical error-correcting codes. Viterbi decoding is a trellis-based procedure for maximum likelihood decoding of classical error-correcting codes. In this article, we…

量子物理 · 物理学 2026-02-13 Mainak Bhattacharyya , Ankur Raina

The hidden Markov model (HMM) is a classic modeling tool with a wide swath of applications. Its inception considered observations restricted to a finite alphabet, but it was quickly extended to multivariate continuous distributions. In this…

统计方法学 · 统计学 2022-05-30 Adam B Kashlak , Prachi Loliencar , Giseon Heo

Hidden Markov models (HMMs) are widely used statistical models for modeling sequential data. The parameter estimation for HMMs from time series data is an important learning problem. The predominant methods for parameter estimation are…

机器学习 · 计算机科学 2014-04-30 Carl Mattfeld

Hidden Markov models have successfully been applied as models of discrete time series in many fields. Often, when applied in practice, the parameters of these models have to be estimated. The currently predominating identification methods,…

机器学习 · 统计学 2015-07-24 Robert Mattila , Cristian R. Rojas , Bo Wahlberg

This paper develops a memory-efficient approach for Sequential Pattern Mining (SPM), a fundamental topic in knowledge discovery that faces a well-known memory bottleneck for large data sets. Our methodology involves a novel hybrid trie data…

数据库 · 计算机科学 2024-07-30 Amin Hosseininasab , Willem-Jan van Hoeve , Andre A. Cire

We consider the problem of predicting the next observation given a sequence of past observations, and consider the extent to which accurate prediction requires complex algorithms that explicitly leverage long-range dependencies. Perhaps…

机器学习 · 计算机科学 2018-06-29 Vatsal Sharan , Sham Kakade , Percy Liang , Gregory Valiant

We propose a new scheme for selecting pool states for the embedded Hidden Markov Model (HMM) Markov Chain Monte Carlo (MCMC) method. This new scheme allows the embedded HMM method to be used for efficient sampling in state space models…

统计计算 · 统计学 2016-07-12 Alexander Y. Shestopaloff , Radford M. Neal

Discrete hidden Markov models (HMM) are often applied to malware detection and classification problems. However, the continuous analog of discrete HMMs, that is, Gaussian mixture model-HMMs (GMM-HMM), are rarely considered in the field of…

密码学与安全 · 计算机科学 2021-03-05 Jing Zhao , Samanvitha Basole , Mark Stamp

The detection of change-points in heterogeneous sequences is a statistical challenge with many applications in fields such as finance, signal analysis and biology. A wide variety of literature exists for finding an ideal set of…

应用统计 · 统计学 2012-12-11 The Minh Luong , Vittorio Perduca , Gregory Nuel

Hidden Markov Models (HMMs) are foundational tools for modeling sequential data with latent Markovian structure, yet fitting them to real-world data remains computationally challenging. In this work, we show that pre-trained large language…

机器学习 · 计算机科学 2026-04-27 Yijia Dai , Zhaolin Gao , Yahya Sattar , Sarah Dean , Jennifer J. Sun

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

Visual place recognition needs to be robust against appearance variability due to natural and man-made causes. Training data collection should thus be an ongoing process to allow continuous appearance changes to be recorded. However, this…

计算机视觉与模式识别 · 计算机科学 2020-11-03 Anh-Dzung Doan , Yasir Latif , Tat-Jun Chin , Ian Reid

Nature, as far as we know, evolves continuously through space and time. Yet the ubiquitous hidden Markov model (HMM)--originally developed for discrete time and space analysis in natural language processing--remains a central tool in…

生物大分子 · 定量生物学 2025-06-09 Max Schweiger , Ayush Saurabh , Steve Pressé