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Inspired by the hierarchical hidden Markov models (HHMM), we present the hierarchical semi-Markov conditional random field (HSCRF), a generalisation of embedded undirectedMarkov chains tomodel complex hierarchical, nestedMarkov processes.…

Machine Learning · Statistics 2010-09-13 Tran The Truyen , Dinh Q. Phung , Hung H. Bui , Svetha Venkatesh

We address the problem of semantic segmentation using deep learning. Most segmentation systems include a Conditional Random Field (CRF) to produce a structured output that is consistent with the image's visual features. Recent deep learning…

Computer Vision and Pattern Recognition · Computer Science 2016-08-01 Anurag Arnab , Sadeep Jayasumana , Shuai Zheng , Philip Torr

Extracting digital material representations from images is a necessary prerequisite for a quantitative analysis of material properties. Different segmentation approaches have been extensively studied in the past to achieve this task, but…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Julian Grolig , Lars Griem , Michael Selzer , Hans-Ulrich Kauczor , Simon M. F. Triphan , Britta Nestler , Arnd Koeppe

Consider $n$ random variables forming a Markov random field (MRF). The true model of the MRF is unknown, and it is assumed to belong to a binary set. The objective is to sequentially sample the random variables (one-at-a-time) such that the…

Methodology · Statistics 2020-08-04 Javad Heydari , Ali Tajer , H. Vincent Poor

Hidden Markov models (HMMs) and conditional random fields (CRFs) are two popular techniques for modeling sequential data. Inference algorithms designed over CRFs and HMMs allow estimation of the state sequence given the observations. In…

Artificial Intelligence · Computer Science 2012-02-20 Gungor Polatkan , Oncel Tuzel

This paper is concerned with the computational complexity of learning the Hidden Markov Model (HMM). Although HMMs are some of the most widely used tools in sequential and time series modeling, they are cryptographically hard to learn in…

Machine Learning · Computer Science 2024-02-27 Sham M. Kakade , Akshay Krishnamurthy , Gaurav Mahajan , Cyril Zhang

Conditional Random Field (CRF) based neural models are among the most performant methods for solving sequence labeling problems. Despite its great success, CRF has the shortcoming of occasionally generating illegal sequences of tags, e.g.…

Machine Learning · Computer Science 2021-03-22 Tianwen Wei , Jianwei Qi , Shenghuan He , Songtao Sun

In this paper, we propose a simple, versatile model for learning the structure and parameters of multivariate distributions from a data set. Learning a Markov network from a given data set is not a simple problem, because Markov networks…

Machine Learning · Computer Science 2012-06-19 Kazuya Takabatake , Shotaro Akaho

Learning and understanding the typical patterns in the daily activities and routines of people from low-level sensory data is an important problem in many application domains such as building smart environments, or providing intelligent…

Machine Learning · Computer Science 2014-08-14 Truyen Tran , Hung Bui , Svetha Venkatesh

Methods for inference and simulation of linearly constrained Gaussian Markov Random Fields (GMRF) are computationally prohibitive when the number of constraints is large. In some cases, such as for intrinsic GMRFs, they may even be…

Methodology · Statistics 2021-06-04 David Bolin , Jonas Wallin

In this paper, we propose a new method based on Hidden Markov Models to interpret temporal sequences of sensor data from mobile robots to automatically detect features. Hidden Markov Models have been used for a long time in pattern…

Artificial Intelligence · Computer Science 2007-05-23 Olivier Aycard , Jean-Francois Mari , Richard Washington

We give an algorithm for learning $O(\log n)$ juntas in polynomial-time with respect to Markov Random Fields (MRFs) in a smoothed analysis framework where only the external field has been randomly perturbed. This is a broad generalization…

Machine Learning · Computer Science 2025-06-03 Gautam Chandrasekaran , Adam Klivans

In this paper, we are interested in optimal decisions in a partially observable Markov universe. Our viewpoint departs from the dynamic programming viewpoint: we are directly approximating an optimal strategic tree depending on the…

General Mathematics · Mathematics 2007-05-23 Frederic Dambreville

The present work deals with active sampling of graph nodes representing training data for binary classification. The graph may be given or constructed using similarity measures among nodal features. Leveraging the graph for classification…

Machine Learning · Statistics 2018-10-17 Dimitris Berberidis , Georgios B. Giannakis

Hidden Markov models (HMMs) are flexible tools for clustering dependent data coming from unknown populations, allowing nonparametric modelling of the population densities. Identifiability fails when the data is in fact independent and…

Statistics Theory · Mathematics 2025-07-16 Kweku Abraham , Elisabeth Gassiat , Zacharie Naulet

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…

Machine Learning · Computer Science 2012-07-10 Daniel Hsu , Sham M. Kakade , Tong Zhang

We introduce a new embarrassingly parallel parameter learning algorithm for Markov random fields with untied parameters which is efficient for a large class of practical models. Our algorithm parallelizes naturally over cliques and, for…

Machine Learning · Statistics 2014-02-06 Yariv Dror Mizrahi , Misha Denil , Nando de Freitas

Graph sampling plays an important role in data mining for large networks. Specifically, larger networks often correspond to lower sampling rates. Under the situation, traditional traversal-based samplings for large networks usually have an…

Data Structures and Algorithms · Computer Science 2024-06-12 Bo Jiao

Often we wish to predict a large number of variables that depend on each other as well as on other observed variables. Structured prediction methods are essentially a combination of classification and graphical modeling, combining the…

Machine Learning · Statistics 2010-11-19 Charles Sutton , Andrew McCallum

Conditional Random Fields (CRF) are among the most popular techniques for image labelling because of their flexibility in modelling dependencies between the labels and the image features. This paper proposes a novel CRF-framework for image…

Computer Vision and Pattern Recognition · Computer Science 2013-09-16 Sergey Kosov , Pushmeet Kohli , Franz Rottensteiner , Christian Heipke