English
Related papers

Related papers: A General Reduction for High-Probability Analysis …

200 papers

We introduce a general class of algorithms and supply a number of general results useful for analysing these algorithms when applied to regular graphs of large girth. As a result, we can transfer a number of results proved for random…

Combinatorics · Mathematics 2017-03-06 Carlos Hoppen , Nicholas Wormald

Machine learning algorithms frequently require careful tuning of model hyperparameters, regularization terms, and optimization parameters. Unfortunately, this tuning is often a "black art" that requires expert experience, unwritten rules of…

Machine Learning · Statistics 2012-08-30 Jasper Snoek , Hugo Larochelle , Ryan P. Adams

We develop an efficient simulation algorithm for computing the tail probabilities of the infinite series $S = \sum_{n \geq 1} a_n X_n$ when random variables $X_n$ are heavy-tailed. As $S$ is the sum of infinitely many random variables, any…

Probability · Mathematics 2016-09-08 Henrik Hult , Sandeep Juneja , Karthyek Murthy

Neural networks trained on real-world datasets with long-tailed label distributions are biased towards frequent classes and perform poorly on infrequent classes. The imbalance in the ratio of positive and negative samples for each class…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Kevin Duarte , Yogesh S. Rawat , Mubarak Shah

Modern policy gradient algorithms such as Proximal Policy Optimization (PPO) rely on an arsenal of heuristics, including loss clipping and gradient clipping, to ensure successful learning. These heuristics are reminiscent of techniques from…

In the real world, the frequency of occurrence of objects is naturally skewed forming long-tail class distributions, which results in poor performance on the statistically rare classes. A promising solution is to mine tail-class examples to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-16 Gursimran Singh , Lingyang Chu , Lanjun Wang , Jian Pei , Qi Tian , Yong Zhang

Heavy tailed distributions present a tough setting for inference. They are also common in industrial applications, particularly with Internet transaction datasets, and machine learners often analyze such data without considering the biases…

Applications · Statistics 2016-10-14 Matt Taddy , Hedibert Freitas Lopes , Matt Gardner

This paper presents a novel information-theoretic perspective on generalization in machine learning by framing the learning problem within the context of lossy compression and applying finite blocklength analysis. In our approach, the…

Machine Learning · Computer Science 2026-02-05 Kosuke Sugiyama , Masato Uchida

We use bias-reduced estimators of high quantiles, of heavy-tailed distributions, to introduce a new estimator of the mean in the case of infinite second moment. The asymptotic normality of the proposed estimator is established and checked,…

Methodology · Statistics 2014-05-09 Brahim Brahimi , Djamel Meraghni , Abdelhakim Necir , Djabrane Yahia

We investigate the in-distribution generalization of machine learning algorithms. We depart from traditional complexity-based approaches by analyzing information-theoretic bounds that quantify the dependence between a learning algorithm and…

Machine Learning · Statistics 2024-08-27 Borja Rodríguez-Gálvez , Ragnar Thobaben , Mikael Skoglund

Deep neural networks frequently suffer from performance degradation when the training data is long-tailed because several majority classes dominate the training, resulting in a biased model. Recent studies have made a great effort in…

Computer Vision and Pattern Recognition · Computer Science 2023-05-19 Mengke Li , Yiu-ming Cheung , Juyong Jiang

Real-world visual data often exhibits a long-tailed distribution, where some ''head'' classes have a large number of samples, yet only a few samples are available for ''tail'' classes. Such imbalanced distribution causes a great challenge…

Computer Vision and Pattern Recognition · Computer Science 2020-03-11 Junjie Zhang , Lingqiao Liu , Peng Wang , Chunhua Shen

Forecasting multivariate time series is a computationally intensive task challenged by extreme or redundant samples. Recent resampling methods aim to increase training efficiency by reweighting samples based on their running losses.…

Machine Learning · Computer Science 2024-06-21 Jiang You , Arben Cela , René Natowicz , Jacob Ouanounou , Patrick Siarry

The training datasets used in long-tailed recognition are extremely unbalanced, resulting in significant variation in per-class accuracy across categories. Prior works mostly used average accuracy to evaluate their algorithms, which easily…

Computer Vision and Pattern Recognition · Computer Science 2024-01-31 Hao Yu , Yingxiao Du , Jianxin Wu

We derive information-theoretic generalization bounds for supervised learning algorithms based on the information contained in predictions rather than in the output of the training algorithm. These bounds improve over the existing…

Machine Learning · Computer Science 2021-10-06 Hrayr Harutyunyan , Maxim Raginsky , Greg Ver Steeg , Aram Galstyan

Balancing training on long-tail data distributions remains a long-standing challenge in deep learning. While methods such as re-weighting and re-sampling help alleviate the imbalance issue, limited sample diversity continues to hinder…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Shizhen Zhao , Xin Wen , Jiahui Liu , Chuofan Ma , Chunfeng Yuan , Xiaojuan Qi

We establish novel generalization bounds for learning algorithms that converge to global minima. We do so by deriving black-box stability results that only depend on the convergence of a learning algorithm and the geometry around the…

Machine Learning · Statistics 2017-10-25 Zachary Charles , Dimitris Papailiopoulos

We study the generalization error of stochastic learning algorithms from an information-theoretic perspective, with a particular emphasis on deriving sharper bounds for differentially private algorithms. It is well known that the…

Information Theory · Computer Science 2026-04-20 Yanxiao Liu , Chun Hei Michael Shiu , Lele Wang , Deniz Gündüz

Generalization to unseen degradations remains a fundamental challenge for low-level vision models. This paper aims to investigate the underlying mechanism of this failure, using image deraining as a primary case study due to its…

Computer Vision and Pattern Recognition · Computer Science 2026-02-25 Jinfan Hu , Zhiyuan You , Jinjin Gu , Kaiwen Zhu , Tianfan Xue , Chao Dong

Understanding the generalization abilities of modern machine learning algorithms has been a major research topic over the past decades. In recent years, the learning dynamics of Stochastic Gradient Descent (SGD) have been related to…

Machine Learning · Statistics 2023-12-04 Benjamin Dupuis , Paul Viallard