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The problem of structured matrix estimation has been studied mostly under strong noise dependence assumptions. This paper considers a general framework of noisy low-rank-plus-sparse matrix recovery, where the noise matrix may come from any…

Machine Learning · Statistics 2025-04-07 Jinhang Chai , Jianqing Fan

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

Machine Learning · Computer Science 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

In neural machine translation (NMT), it is has become standard to translate using subword units to allow for an open vocabulary and improve accuracy on infrequent words. Byte-pair encoding (BPE) and its variants are the predominant approach…

Computation and Language · Computer Science 2018-10-23 Elizabeth Salesky , Andrew Runge , Alex Coda , Jan Niehues , Graham Neubig

We consider the problem of metric learning for multi-view data and present a novel method for learning within-view as well as between-view metrics in vector-valued kernel spaces, as a way to capture multi-modal structure of the data. We…

Machine Learning · Computer Science 2018-03-22 Riikka Huusari , Hachem Kadri , Cécile Capponi

Subgradient algorithms for training support vector machines have been quite successful for solving large-scale and online learning problems. However, they have been restricted to linear kernels and strongly convex formulations. This paper…

Machine Learning · Computer Science 2011-11-04 Sangkyun Lee , Stephen J. Wright

Reinforcement learning (RL) is frequently used to increase performance in text generation tasks, including machine translation (MT), notably through the use of Minimum Risk Training (MRT) and Generative Adversarial Networks (GAN). However,…

Computation and Language · Computer Science 2020-01-16 Leshem Choshen , Lior Fox , Zohar Aizenbud , Omri Abend

In the first part of this study, a convex-constrained penalized formulation was studied for a class of constant modulus (CM) problems. In particular, the error bound techniques were shown to play a vital role in providing exact penalization…

Signal Processing · Electrical Eng. & Systems 2024-11-12 Junbin Liu , Ya Liu , Wing-Kin Ma , Mingjie Shao , Anthony Man-Cho So

The minimum accuracy heuristic evaluates quantum feature maps without requiring full quantum support vector machine (QSVM) training. However, the original formulation is computationally expensive, restricted to balanced datasets, and lacks…

This paper investigates the theoretical foundations of metric learning, focused on three key questions that are not fully addressed in prior work: 1) we consider learning general low-dimensional (low-rank) metrics as well as sparse metrics;…

Machine Learning · Statistics 2018-02-07 Lalit Jain , Blake Mason , Robert Nowak

Minimum Bayes risk (MBR) decoding outputs the hypothesis with the highest expected utility over the model distribution for some utility function. It has been shown to improve accuracy over beam search in conditional language generation…

Computation and Language · Computer Science 2023-11-28 Julius Cheng , Andreas Vlachos

Recent advances in learning or identification of nonlinear dynamics focus on learning a suitable model within a pre-specified model class. However, a key difficulty that remains is the choice of the model class from which the dynamics will…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Charis Stamouli , Evangelos Chatzipantazis , George J. Pappas

Learning a regression function using censored or interval-valued output data is an important problem in fields such as genomics and medicine. The goal is to learn a real-valued prediction function, and the training output labels indicate an…

Machine Learning · Statistics 2017-10-30 Alexandre Drouin , Toby Dylan Hocking , François Laviolette

In this paper, online linear regression in environments corrupted by non-Gaussian noise (especially heavy-tailed noise) is addressed. In such environments, the error between the system output and the label also does not follow a Gaussian…

Information Theory · Computer Science 2021-05-13 Sajjad Bahrami , Ertem Tuncel

Modern deep neural network training is typically based on mini-batch stochastic gradient optimization. While the use of large mini-batches increases the available computational parallelism, small batch training has been shown to provide…

Machine Learning · Computer Science 2018-04-23 Dominic Masters , Carlo Luschi

Metric and kernel learning are important in several machine learning applications. However, most existing metric learning algorithms are limited to learning metrics over low-dimensional data, while existing kernel learning algorithms are…

Machine Learning · Computer Science 2009-11-02 Prateek Jain , Brian Kulis , Jason V. Davis , Inderjit S. Dhillon

Minimum Bayes Risk (MBR) decoding is a powerful decoding strategy widely used for text generation tasks, but its quadratic computational complexity limits its practical application. This paper presents a novel approach for approximating MBR…

Computation and Language · Computer Science 2024-06-06 Firas Trabelsi , David Vilar , Mara Finkelstein , Markus Freitag

In order to circumvent statistical and computational hardness results in sequential decision-making, recent work has considered smoothed online learning, where the distribution of data at each time is assumed to have bounded likeliehood…

Machine Learning · Statistics 2024-02-26 Adam Block , Alexander Rakhlin , Abhishek Shetty

Meta-embedding (ME) learning is an emerging approach that attempts to learn more accurate word embeddings given existing (source) word embeddings as the sole input. Due to their ability to incorporate semantics from multiple source…

Computation and Language · Computer Science 2022-04-26 Danushka Bollegala , James O'Neill

We revisit the issue of low-distortion embedding of metric spaces into the line, and more generally, into the shortest path metric of trees, from the parameterized complexity perspective.Let $M=M(G)$ be the shortest path metric of an edge…

Data Structures and Algorithms · Computer Science 2008-04-21 Michael Fellows , Fedor Fomin , Daniel Lokshtanov , Elena Losievskaja , Frances A. Rosamond , Saket Saurabh

We consider machine learning techniques to develop low-latency approximate solutions to a class of inverse problems. More precisely, we use a probabilistic approach for the problem of recovering sparse stochastic signals that are members of…

Information Theory · Computer Science 2016-09-06 Steffen Limmer , Sławomir Stańczak
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