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There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the ubiquitous Hidden Markov Model for learning from sequential and time-series data. However, in…

统计方法学 · 统计学 2012-09-11 Matthew J. Johnson , Alan S. Willsky

Time series are used in many domains including finance, engineering, economics and bioinformatics generally to represent the change of a measurement over time. Modeling techniques may then be used to give a synthetic representation of such…

统计方法学 · 统计学 2013-12-30 Faicel Chamroukhi , Allou Samé , Gérard Govaert , Patrice Aknin

Stock market forecasting is a classic problem that has been thoroughly investigated using machine learning and artificial neural network based tools and techniques. Interesting aspects of this problem include its time reliance as well as…

统计金融 · 定量金融 2023-02-20 Raihan Tanvir , Md Tanvir Rouf Shawon , Md. Golam Rabiul Alam

Motivated by applications to 3D printing, this paper presents two algorithms for calculating an ensemble of solutions to heat conduction problems. The ensemble average is the most likely temperature distribution and its variance gives an…

数值分析 · 数学 2017-08-04 Joseph A. Fiordilino

Non-homogeneous hidden Markov models (NHHMM) are a subclass of dependent mixture models used for semi-supervised learning, where both transition probabilities between the latent states and mean parameter of the probability distribution of…

机器学习 · 统计学 2019-12-23 Aliaksandr Hubin

Aiming to generate realistic synthetic times series of the bivariate process of daily mean temperature and precipitations, we introduce a non-homogeneous hidden Markov model. The non-homogeneity lies in periodic transition probabilities…

应用统计 · 统计学 2018-10-29 Augustin Touron , Thi Thu Huong Hoang , Sylvie Parey

For multivariate time series driven by underlying states, hidden Markov models (HMMs) constitute a powerful framework which can be flexibly tailored to the situation at hand. However, in practice it can be challenging to choose an adequate…

统计方法学 · 统计学 2023-02-14 Rouven Michels , Roland Langrock

Meteorological ensembles are a collection of scenarios for future weather delivered by a meteorological center. Such ensembles form the main source of valuable information for probabilistic forecasting which aims at producing a predictive…

应用统计 · 统计学 2019-03-07 Marie Courbariaux , Pierre Barbillon , Luc Perreault , Éric Parent

The problem of reducing a Hidden Markov Model (HMM) to one of smaller dimension that exactly reproduces the same marginals is tackled by using a system-theoretic approach. Realization theory tools are extended to HMMs by leveraging suitable…

机器学习 · 计算机科学 2024-06-24 Tommaso Grigoletto , Francesco Ticozzi

This paper studies the traffic state estimation problem at signalized intersections with low penetration rate vehicle trajectory data. While many existing studies have proposed different methods to estimate unknown traffic states and…

系统与控制 · 电气工程与系统科学 2024-04-16 Xingmin Wang , Zihao Wang , Zachary Jerome , Henry X. Liu

Ensemble methods are among the state-of-the-art predictive modeling approaches. Applied to modern big data, these methods often require a large number of sub-learners, where the complexity of each learner typically grows with the size of…

机器学习 · 计算机科学 2018-10-29 Amichai Painsky , Saharon Rosset

We introduce an extension of finite mixture models by incorporating skew-normal distributions within a Hidden Markov Model framework. By assuming a constant transition probability matrix and allowing emission distributions to vary according…

统计方法学 · 统计学 2025-09-25 Andrea Nigri , Marco Forti , Han Lin Shang

Hidden Markov Models (HMMs) are one of the most fundamental and widely used statistical tools for modeling discrete time series. In general, learning HMMs from data is computationally hard (under cryptographic assumptions), and…

机器学习 · 计算机科学 2012-07-10 Daniel Hsu , Sham M. Kakade , Tong Zhang

The Hidden Markov Model (HMM) is a widely-used statistical model for handling sequential data. However, the presence of missing observations in real-world datasets often complicates the application of the model. The EM algorithm and Gibbs…

机器学习 · 统计学 2026-01-06 Dongrong Li , Tianwei Yu , Xiaodan Fan

Hidden Markov models (HMMs) are popular models to identify a finite number of latent states from sequential data. However, fitting them to large data sets can be computationally demanding because most likelihood maximization techniques…

With increasingly more computation being shifted to the edge of the network, monitoring of critical infrastructures, such as intermediate processing nodes in autonomous driving, is further complicated due to the typically…

分布式、并行与集群计算 · 计算机科学 2023-01-31 Dominik Scheinert , Babak Sistani Zadeh Aghdam , Soeren Becker , Odej Kao , Lauritz Thamsen

Time series forecasting is an important task that involves analyzing temporal dependencies and underlying patterns (such as trends, cyclicality, and seasonality) in historical data to predict future values or trends. Current deep…

机器学习 · 计算机科学 2025-12-01 Jieting Wang , Huimei Shi , Feijiang Li , Xiaolei Shang

Most existing approaches to clustering gene expression time course data treat the different time points as independent dimensions and are invariant to permutations, such as reversal, of the experimental time course. Approaches utilizing…

机器学习 · 计算机科学 2012-07-02 Matthew Beal , Praveen Krishnamurthy

This work proposes a unified framework for portfolio allocation, covering both asset selection and optimization, based on a multiple-hypothesis predict-then-optimize approach. The portfolio is modeled as a structured ensemble, where each…

投资组合管理 · 定量金融 2025-11-19 Alejandro Rodriguez Dominguez , Muhammad Shahzad , Xia Hong

Time series forecasting plays an increasingly important role in modern business decisions. In today's data-rich environment, people often aim to choose the optimal forecasting model for their data. However, identifying the optimal model…

应用统计 · 统计学 2021-12-17 Xixi Li , Fotios Petropoulos , Yanfei Kang