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We consider the task of learning the parameters of a {\em single} component of a mixture model, for the case when we are given {\em side information} about that component, we call this the "search problem" in mixture models. We would like…

机器学习 · 统计学 2018-02-27 Avik Ray , Joe Neeman , Sujay Sanghavi , Sanjay Shakkottai

We introduce a machine-learning approach for identifying hidden structural features of open quantum dynamics under restricted experimental access. Unlike most existing data-driven methods which focus on detection or prediction of dynamical…

量子物理 · 物理学 2026-04-02 Alexander Teretenkov , Sergey Kuznetsov , Alexander Pechen

Model stealing, where a learner tries to recover an unknown model via carefully chosen queries, is a critical problem in machine learning, as it threatens the security of proprietary models and the privacy of data they are trained on. In…

机器学习 · 计算机科学 2024-11-13 Allen Liu , Ankur Moitra

Traditional hidden Markov models have been a useful tool to understand and model stochastic dynamic data; in the case of non-Gaussian data, models such as mixture of Gaussian hidden Markov models can be used. However, these suffer from the…

机器学习 · 统计学 2023-05-16 Carlos Puerto-Santana , Concha Bielza , Pedro Larrañaga , Gustav Eje Henter

The problem of learning forest-structured discrete graphical models from i.i.d. samples is considered. An algorithm based on pruning of the Chow-Liu tree through adaptive thresholding is proposed. It is shown that this algorithm is both…

信息论 · 计算机科学 2011-02-15 Vincent Y. F. Tan , Animashree Anandkumar , Alan S. Willsky

When is keeping a memory of observations worthwhile? We use hidden Markov models to look at phase transitions that emerge when comparing state estimates in systems with discrete states and noisy observations. We infer the underlying state…

统计力学 · 物理学 2017-07-05 Emma Lathouwers , John Bechhoefer

Modelling the substitution of nucleotides along a phylogenetic tree is usually done by a hidden Markov process. This allows to define a distribution of characters at the leaves of the trees and one might be able to obtain polynomial…

种群与进化 · 定量生物学 2020-10-12 Marta Casanellas , Jesús Fernández-Sánchez , Marina Garrote-López

Identification of nonlinear systems is a challenging problem. Physical knowledge of the system can be used in the identification process to significantly improve the predictive performance by restricting the space of possible mappings from…

统计计算 · 统计学 2022-10-27 Anna Wigren , Johan Wågberg , Fredrik Lindsten , Adrian Wills , Thomas B. Schön

In this work, we present the first results for neuralizing an Unsupervised Hidden Markov Model. We evaluate our approach on tag in- duction. Our approach outperforms existing generative models and is competitive with the state-of-the-art…

计算与语言 · 计算机科学 2016-09-29 Ke Tran , Yonatan Bisk , Ashish Vaswani , Daniel Marcu , Kevin Knight

We consider the problem of flexible modeling of higher order hidden Markov models when the number of latent states and the nature of the serial dependence, including the true order, are unknown. We propose Bayesian nonparametric methodology…

统计方法学 · 统计学 2019-02-06 Abhra Sarkar , David B. Dunson

This paper addresses a kernel-based learning problem for a network of agents locally observing a latent multidimensional, nonlinear phenomenon in a noisy environment. We propose a learning algorithm that requires only mild a priori…

多智能体系统 · 计算机科学 2024-04-16 Krzysztof Kowalczyk , Paweł Wachel , Cristian R. Rojas

We study the problem of learning the transition matrices of a set of Markov chains from a single stream of observations on each chain. We assume that the Markov chains are ergodic but otherwise unknown. The learner can sample Markov chains…

机器学习 · 计算机科学 2019-11-14 Mohammad Sadegh Talebi , Odalric-Ambrym Maillard

Linear time-invariant systems are very popular models in system theory and applications. A fundamental problem in system identification that remains rather unaddressed in extant literature is to leverage commonalities amongst related linear…

The noise transition matrix plays a central role in the problem of learning with noisy labels. Among many other reasons, a large number of existing solutions rely on access to it. Identifying and estimating the transition matrix without…

机器学习 · 计算机科学 2022-07-05 Yang Liu , Hao Cheng , Kun Zhang

Bayesian network models with latent variables are widely used in statistics and machine learning. In this paper we provide a complete algebraic characterization of Bayesian network models with latent variables when the observed variables…

统计理论 · 数学 2022-12-20 Robin J. Evans

In this paper, a review of model-free reinforcement learning for learning of dynamical systems in uncertain environments has discussed. For this purpose, the Markov Decision Process (MDP) will be reviewed. Furthermore, some learning…

机器学习 · 计算机科学 2019-05-21 Mehran Attar , Mohammadreza Dabirian

The amount of training-data is one of the key factors which determines the generalization capacity of learning algorithms. Intuitively, one expects the error rate to decrease as the amount of training-data increases. Perhaps surprisingly,…

机器学习 · 计算机科学 2023-11-07 Olivier Bousquet , Amit Daniely , Haim Kaplan , Yishay Mansour , Shay Moran , Uri Stemmer

Parsimony, including sparsity and low rank, has been shown to successfully model data in numerous machine learning and signal processing tasks. Traditionally, such modeling approaches rely on an iterative algorithm that minimizes an…

机器学习 · 计算机科学 2012-12-18 Pablo Sprechmann , Alex M. Bronstein , Guillermo Sapiro

Hidden Markov models and their variants are the predominant sequential classification method in such domains as speech recognition, bioinformatics and natural language processing. Being generative rather than discriminative models, however,…

机器学习 · 统计学 2013-02-18 John A. Quinn , Masashi Sugiyama

The topic of nonparametric estimation of smooth boundaries is extensively studied in the conventional setting where pairs of single covariate and response variable are observed. However, this traditional setting often suffers from the cost…

统计理论 · 数学 2026-04-07 Hiroki Waida , Takafumi Kanamori