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We analyze convergence rates of stochastic optimization procedures for non-smooth convex optimization problems. By combining randomized smoothing techniques with accelerated gradient methods, we obtain convergence rates of stochastic…

Optimization and Control · Mathematics 2012-04-10 John C. Duchi , Peter L. Bartlett , Martin J. Wainwright

The empirical risk minimization approach to data-driven decision making requires access to training data drawn under the same conditions as those that will be faced when the decision rule is deployed. However, in a number of settings, we…

Methodology · Statistics 2025-09-17 Roshni Sahoo , Lihua Lei , Stefan Wager

The use of synthetic data in machine learning applications and research offers many benefits, including performance improvements through data augmentation, privacy preservation of original samples, and reliable method assessment with fully…

Machine Learning · Computer Science 2026-04-13 Joanna Komorniczak

Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high-dimensional, correlated data. While existing methods capture either aleatoric or epistemic…

Machine Learning · Computer Science 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

We present an adaptive regularization algorithm that can be effectively applied to the optimization problem in deep learning framework. Our regularization algorithm aims to take into account the fitness of data to the current state of model…

Machine Learning · Computer Science 2019-09-02 Junghee Cho , Junseok Kwon , Byung-Woo Hong

This paper introduces a general method to approximate the convolution of an arbitrary program with a Gaussian kernel. This process has the effect of smoothing out a program. Our compiler framework models intermediate values in the program…

Graphics · Computer Science 2017-06-06 Yuting Yang , Connelly Barnes

Generating confidence calibrated outputs is of utmost importance for the applications of deep neural networks in safety-critical decision-making systems. The output of a neural network is a probability distribution where the scores are…

Machine Learning · Computer Science 2021-09-17 Chihuang Liu , Joseph JaJa

For classification tasks, deep neural networks are prone to overfitting in the presence of label noise. Although existing methods are able to alleviate this problem at low noise levels, they encounter significant performance reduction at…

Machine Learning · Computer Science 2021-05-31 Jingyi Xu , Tony Q. S. Quek , Kai Fong Ernest Chong

Machine unlearning seeks to efficiently remove the influence of selected data while preserving generalization. Significant progress has been made in low dimensions $(p \ll n)$, but high dimensions pose serious theoretical challenges as…

Machine Learning · Statistics 2025-10-16 Aaradhya Pandey , Arnab Auddy , Haolin Zou , Arian Maleki , Sanjeev Kulkarni

Nonparametric regression for massive numbers of samples (n) and features (p) is an increasingly important problem. In big n settings, a common strategy is to partition the feature space, and then separately apply simple models to each…

Machine Learning · Statistics 2014-06-10 Rajarshi Guhaniyogi , David B. Dunson

The data functions that are studied in the course of functional data analysis are assembled from discrete data, and the level of smoothing that is used is generally that which is appropriate for accurate approximation of the conceptually…

Statistics Theory · Mathematics 2013-12-19 Raymond J. Carroll , Aurore Delaigle , Peter Hall

Randomized smoothing is considered to be the state-of-the-art provable defense against adversarial perturbations. However, it heavily exploits the fact that classifiers map input objects to class probabilities and do not focus on the ones…

Machine Learning · Computer Science 2023-06-06 Mikhail Pautov , Olesya Kuznetsova , Nurislam Tursynbek , Aleksandr Petiushko , Ivan Oseledets

Deep convolutional neural networks have shown remarkable performance on various computer vision tasks, and yet, they are susceptible to picking up spurious correlations from the training signal. So called `shortcuts' can occur during…

Computer Vision and Pattern Recognition · Computer Science 2022-09-21 Mobarakol Islam , Ben Glocker

Deep neural networks achieve high prediction accuracy when the train and test distributions coincide. In practice though, various types of corruptions occur which deviate from this setup and cause severe performance degradations. Few…

Machine Learning · Computer Science 2023-05-30 Theodoros Tsiligkaridis , Athanasios Tsiligkaridis

Recent CNN-based methods for image deraining have achieved excellent performance in terms of reconstruction error as well as visual quality. However, these methods are limited in the sense that they can be trained only on fully labeled…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Rajeev Yasarla , V. A. Sindagi , V. M. Patel

While training on samples drawn from independent and identical distribution has been a de facto paradigm for optimizing image classification networks, humans learn new concepts in an easy-to-hard manner and on the selected examples…

Computer Vision and Pattern Recognition · Computer Science 2020-10-16 Bowen Cheng , Yunchao Wei , Jiahui Yu , Shiyu Chang , Jinjun Xiong , Wen-Mei Hwu , Thomas S. Huang , Humphrey Shi

Over the recent years, various deep learning-based methods were proposed for extracting a fixed-dimensional embedding vector from speech signals. Although the deep learning-based embedding extraction methods have shown good performance in…

Audio and Speech Processing · Electrical Eng. & Systems 2021-12-08 Woo Hyun Kang , Jahangir Alam , Abderrahim Fathan

Within the PAC-Bayesian framework, the Gibbs classifier (defined on a posterior $Q$) and the corresponding $Q$-weighted majority vote classifier are commonly used to analyze the generalization performance. However, there exists a notable…

Machine Learning · Computer Science 2025-10-01 Gaojie Jin , Xinping Yi , Xiaowei Huang

Deep speaker embedding represents the state-of-the-art technique for speaker recognition. A key problem with this approach is that the resulting deep speaker vectors tend to be irregularly distributed. In previous research, we proposed a…

Sound · Computer Science 2020-11-02 Yunqi Cai , Lantian Li , Dong Wang , Andrew Abel

Rolling bearings are subject to various faults due to its long-time operation under harsh environment, which will lead to unexpected breakdown of machinery system and cause severe accidents. Deep learning methods recently have gained…

Machine Learning · Computer Science 2021-09-21 Mingxuan Liang , Kai Zhou