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Stochastic and soft optimal policies resulting from entropy-regularized Markov decision processes (ER-MDP) are desirable for exploration and imitation learning applications. Motivated by the fact that such policies are sensitive with…

Machine Learning · Computer Science 2022-01-03 Tien Mai , Patrick Jaillet

Although the recent progress is substantial, deep learning methods can be vulnerable to the maliciously generated adversarial examples. In this paper, we present a novel training procedure and a thresholding test strategy, towards robust…

Machine Learning · Computer Science 2018-11-08 Tianyu Pang , Chao Du , Yinpeng Dong , Jun Zhu

The problem of estimating an arbitrary random vector from its observation corrupted by additive white Gaussian noise, where the cost function is taken to be the Minimum Mean $p$-th Error (MMPE), is considered. The classical Minimum Mean…

Information Theory · Computer Science 2016-07-07 Alex Dytso , Ronit Bustin , Daniela Tuninetti , Natasha Devroye , H. Vincent Poor , Shlomo Shamai

Mixture proportion estimation (MPE) aims to estimate class priors from unlabeled data. This task is a critical component in weakly supervised learning, such as PU learning, learning with label noise, and domain adaptation. Existing MPE…

Machine Learning · Computer Science 2026-04-09 Yushi Hirose , Akito Narahara , Takafumi Kanamori

Limiting failures of machine learning systems is of paramount importance for safety-critical applications. In order to improve the robustness of machine learning systems, Distributionally Robust Optimization (DRO) has been proposed as a…

Mixture of Experts (MoE) is a popular framework for modeling heterogeneity in data for regression, classification, and clustering. For regression and cluster analyses of continuous data, MoE usually use normal experts following the Gaussian…

Methodology · Statistics 2017-01-26 Faicel Chamroukhi

Estimation of Distribution Algorithms (EDAs) require flexible probability models that can be efficiently learned and sampled. Restricted Boltzmann Machines (RBMs) are generative neural networks with these desired properties. We integrate an…

Neural and Evolutionary Computing · Computer Science 2014-12-01 Malte Probst , Franz Rothlauf , Jörn Grahl

Given only positive examples and unlabeled examples (from both positive and negative classes), we might hope nevertheless to estimate an accurate positive-versus-negative classifier. Formally, this task is broken down into two subtasks: (i)…

Machine Learning · Computer Science 2021-11-02 Saurabh Garg , Yifan Wu , Alex Smola , Sivaraman Balakrishnan , Zachary C. Lipton

This paper presents a robust alternative to the Maximum Likelihood Estimator (MLE) for the Polytomous Logistic Regression Model (PLRM), known as the family of minimum R\`enyi Pseudodistance (RP) estimators. The proposed minimum RP…

Methodology · Statistics 2024-02-06 Elena Castilla

Learning classifiers that are robust to adversarial examples has received a great deal of recent attention. A major drawback of the standard robust learning framework is there is an artificial robustness radius $r$ that applies to all…

Machine Learning · Computer Science 2023-01-19 Robi Bhattacharjee , Kamalika Chaudhuri

Using noisy crowdsourced labels from multiple annotators, a deep learning-based end-to-end (E2E) system aims to learn the label correction mechanism and the neural classifier simultaneously. To this end, many E2E systems concatenate the…

Machine Learning · Computer Science 2023-06-07 Shahana Ibrahim , Tri Nguyen , Xiao Fu

The problem of monotone missing data has been broadly studied during the last two decades and has many applications in different fields such as bioinformatics or statistics. Commonly used imputation techniques require multiple iterations…

Machine Learning · Computer Science 2020-09-25 Thu Nguyen , Duy H. M. Nguyen , Huy Nguyen , Binh T. Nguyen , Bruce A. Wade

We present herein a scheme by which to accurately evaluate the error exponents of a lossy data compression problem, which characterize average probabilities over a code ensemble of compression failure and success above or below a critical…

Statistical Mechanics · Physics 2007-05-23 Tadaaki Hosaka , Yoshiyuki Kabashima

Ellipsoid fitting is of general interest in machine vision, such as object detection and shape approximation. Most existing approaches rely on the least-squares fitting of quadrics, minimizing the algebraic or geometric distances, with…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Zhao Mingyang , Jia Xiaohong , Ma Lei , Qiu Xinlin , Jiang Xin , Yan Dong-Ming

Robustness to bit errors is a key requirement for the reliable use of neural networks (NNs) on emerging approximate computing platforms and error-prone memory technologies. A common approach to achieve bit error tolerance in NNs is…

Machine Learning · Computer Science 2026-03-06 Mikail Yayla , Akash Kumar

We consider the problem of robust optimization within the well-established Bayesian optimization (BO) framework. While BO is intrinsically robust to noisy evaluations of the objective function, standard approaches do not consider the case…

Entropy is ubiquitous in machine learning, but it is in general intractable to compute the entropy of the distribution of an arbitrary continuous random variable. In this paper, we propose the amortized residual denoising autoencoder…

Machine Learning · Computer Science 2020-06-11 Jae Hyun Lim , Aaron Courville , Christopher Pal , Chin-Wei Huang

Feature selection, in the context of machine learning, is the process of separating the highly predictive feature from those that might be irrelevant or redundant. Information theory has been recognized as a useful concept for this task, as…

Machine Learning · Computer Science 2020-01-28 Catuscia Palamidessi , Marco Romanelli

Mixture-of-Experts (MoE) architectures combine specialized predictors through a learned gate and are effective across regression and classification, but for classification with softmax multinomial-logistic gating, rigorous guarantees for…

Machine Learning · Statistics 2026-02-10 TrungKhang Tran , TrungTin Nguyen , Md Abul Bashar , Nhat Ho , Richi Nayak , Christopher Drovandi

The minimum mean-squared error (MMSE) is one of the most popular criteria for Bayesian estimation. Conversely, the signal-to-noise ratio (SNR) is a typical performance criterion in communications, radar, and generally detection theory. In…

Information Theory · Computer Science 2016-10-12 Luca Rugini , Paolo Banelli