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In this paper, we introduce an unbiased gradient simulation algorithms for solving convex optimization problem with stochastic function compositions. We show that the unbiased gradient generated from the algorithm has finite variance and…

Optimization and Control · Mathematics 2017-11-22 Jose Blanchet , Donald Goldfarb , Garud Iyengar , Fengpei Li , Chaoxu Zhou

Probabilistic approach to Boolean matrix factorization can provide solutions robustagainst noise and missing values with linear computational complexity. However,the assumption about latent factors can be problematic in real world…

Machine Learning · Statistics 2019-05-31 Lifan Liang , Songjian Lu

Nous pr\'esentons dans cette contribution une approche \`a la fois symbolique et probabiliste permettant d'extraire l'information sur la segmentation du signal de parole \`a partir d'information prosodique. Nous utilisons pour ce faire des…

Machine Learning · Computer Science 2008-12-18 Irina Nesterenko , Stéphane Rauzy

We present new algorithms and fast implementations to find efficient approximations for modelling stochastic processes. For many numerical computations it is essential to develop finite approximations for stochastic processes. While the…

Optimization and Control · Mathematics 2020-12-03 Kipngeno Benard Kirui , Georg Ch. Pflug , Alois Pichler

We consider the problem of estimating a parameter associated to a Bayesian inverse problem. Treating the unknown initial condition as a nuisance parameter, typically one must resort to a numerical approximation of gradient of the…

Methodology · Statistics 2020-03-17 Ajay Jasra , Kody J. H. Law , Deng Lu

The Smallest Grammar Problem -- the problem of finding the smallest context-free grammar that generates exactly one given sequence -- has never been successfully applied to grammatical inference. We investigate the reasons and propose an…

Computation and Language · Computer Science 2016-09-01 Payam Siyari , Matthias Gallé

Techniques for plan recognition under uncertainty require a stochastic model of the plan-generation process. We introduce Probabilistic State-Dependent Grammars (PSDGs) to represent an agent's plan-generation process. The PSDG language…

Artificial Intelligence · Computer Science 2013-01-18 David V. Pynadath , Michael P. Wellman

We introduce a method for embedding words as probability densities in a low-dimensional space. Rather than assuming that a word embedding is fixed across the entire text collection, as in standard word embedding methods, in our Bayesian…

Computation and Language · Computer Science 2018-06-12 Arthur Bražinskas , Serhii Havrylov , Ivan Titov

This paper presents a new context-free parsing algorithm based on a bidirectional strictly horizontal strategy which incorporates strong top-down predictions (derivations and adjacencies). From a functional point of view, the parser is able…

cmp-lg · Computer Science 2007-05-23 Jose F. Quesada

Grammaticality and likelihood are distinct notions in human language. Pretrained language models (LMs), which are probabilistic models of language fitted to maximize corpus likelihood, generate grammatically well-formed text and…

Computation and Language · Computer Science 2026-05-07 Yingshan Susan Wang , Linlu Qiu , Zhaofeng Wu , Roger P. Levy , Yoon Kim

In this paper, we propose a class of penalty methods with stochastic approximation for solving stochastic nonlinear programming problems. We assume that only noisy gradients or function values of the objective function are available via…

Optimization and Control · Mathematics 2016-05-20 Xiao Wang , Shiqian Ma , Ya-xiang Yuan

We consider the problem of estimating the trace of a matrix function $f(A)$. In certain situations, in particular if $f(A)$ cannot be well approximated by a low-rank matrix, combining probing methods based on graph colorings with stochastic…

Numerical Analysis · Mathematics 2023-08-16 Andreas Frommer , Michele Rinelli , Marcel Schweitzer

Stochastic optimization algorithms update models with cheap per-iteration costs sequentially, which makes them amenable for large-scale data analysis. Such algorithms have been widely studied for structured sparse models where the sparsity…

Machine Learning · Computer Science 2019-05-10 Baojian Zhou , Feng Chen , Yiming Ying

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Stochastic acceptors or probabilistic automata are stochastic automata without output that can model components in machine learning…

Machine Learning · Computer Science 2018-12-27 Karl-Heinz Zimmermann

The EM-algorithm is a general procedure to get maximum likelihood estimates if part of the observations on the variables of a network are missing. In this paper a stochastic version of the algorithm is adapted to probabilistic neural…

Artificial Intelligence · Computer Science 2013-03-26 Gerhard Paass

Several methods are discussed that construct a finite automaton given a context-free grammar, including both methods that lead to subsets and those that lead to supersets of the original context-free language. Some of these methods of…

Computation and Language · Computer Science 2007-05-23 Mark-Jan Nederhof

In this paper we describe the linguistic processor of a spoken dialogue system. The parser receives a word graph from the recognition module as its input. Its task is to find the best path through the graph. If no complete solution can be…

cmp-lg · Computer Science 2008-02-03 Gerhard Hanrieder , Guenther Goerz

String-based (or viewpoint) models of tonal harmony often struggle with data sparsity in pattern discovery and prediction tasks, particularly when modeling composite events like triads and seventh chords, since the number of distinct n-note…

Information Retrieval · Computer Science 2017-07-19 David R. W. Sears , Andreas Arzt , Harald Frostel , Reinhard Sonnleitner , Gerhard Widmer

This paper introduces the Nystr\"om PCG algorithm for solving a symmetric positive-definite linear system. The algorithm applies the randomized Nystr\"om method to form a low-rank approximation of the matrix, which leads to an efficient…

Numerical Analysis · Mathematics 2021-12-20 Zachary Frangella , Joel A. Tropp , Madeleine Udell

We study the computational complexity of universality and inclusion problems for unambiguous finite automata and context-free grammars. We observe that several such problems can be reduced to the universality problem for unambiguous…

Formal Languages and Automata Theory · Computer Science 2020-06-12 Lorenzo Clemente
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