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We consider sequential maximization of performance metrics that are general functions of a confusion matrix of a classifier (such as precision, F-measure, or G-mean). Such metrics are, in general, non-decomposable over individual instances,…

机器学习 · 计算机科学 2024-06-24 Wojciech Kotłowski , Marek Wydmuch , Erik Schultheis , Rohit Babbar , Krzysztof Dembczyński

We study online prediction where regret of the algorithm is measured against a benchmark defined via evolving constraints. This framework captures online prediction on graphs, as well as other prediction problems with combinatorial…

机器学习 · 计算机科学 2015-06-15 Alexander Rakhlin , Karthik Sridharan

Projection-free online learning has drawn increasing interest due to its efficiency in solving high-dimensional problems with complicated constraints. However, most existing projection-free online methods focus on minimizing the static…

机器学习 · 计算机科学 2023-05-22 Yibo Wang , Wenhao Yang , Wei Jiang , Shiyin Lu , Bing Wang , Haihong Tang , Yuanyu Wan , Lijun Zhang

Online structured prediction is a task of sequentially predicting outputs with complex structures based on inputs and past observations, encompassing online classification. Recent studies showed that in the full-information setting, we can…

机器学习 · 计算机科学 2026-01-06 Yuki Shibukawa , Taira Tsuchiya , Shinsaku Sakaue , Kenji Yamanishi

By leveraging experience from previous tasks, meta-learning algorithms can achieve effective fast adaptation ability when encountering new tasks. However it is unclear how the generalization property applies to new tasks. Probably…

机器学习 · 计算机科学 2021-02-09 Tianyu Liu , Jie Lu , Zheng Yan , Guangquan Zhang

We study a theoretical and algorithmic framework for structured prediction in the online learning setting. The problem of structured prediction, i.e. estimating function where the output space lacks a vectorial structure, is well studied in…

机器学习 · 计算机科学 2024-06-19 Pierre Boudart , Alessandro Rudi , Pierre Gaillard

Practitioners in diverse fields such as healthcare, economics and education are eager to apply machine learning to improve decision making. The cost and impracticality of performing experiments and a recent monumental increase in electronic…

机器学习 · 计算机科学 2023-08-01 Fredrik D. Johansson , Uri Shalit , Nathan Kallus , David Sontag

Due to the drastic gap in complexity between sequential and batch statistical learning, recent work has studied a smoothed sequential learning setting, where Nature is constrained to select contexts with density bounded by 1/{\sigma} with…

机器学习 · 统计学 2022-05-27 Adam Block , Max Simchowitz

Bounding the generalization error of a supervised learning algorithm is one of the most important problems in learning theory, and various approaches have been developed. However, existing bounds are often loose and lack of guarantees. As a…

机器学习 · 计算机科学 2021-07-30 Gholamali Aminian , Yuheng Bu , Laura Toni , Miguel R. D. Rodrigues , Gregory Wornell

Generalization error bounds are essential for comprehending how well machine learning models work. In this work, we suggest a novel method, i.e., the Auxiliary Distribution Method, that leads to new upper bounds on expected generalization…

机器学习 · 计算机科学 2024-04-18 Gholamali Aminian , Saeed Masiha , Laura Toni , Miguel R. D. Rodrigues

We consider information-theoretic bounds on expected generalization error for statistical learning problems in a networked setting. In this setting, there are $K$ nodes, each with its own independent dataset, and the models from each node…

信息论 · 计算机科学 2024-01-17 L. P. Barnes , Alex Dytso , H. V. Poor

The goal of a learner, in standard online learning, is to have the cumulative loss not much larger compared with the best-performing function from some fixed class. Numerous algorithms were shown to have this gap arbitrarily close to zero,…

机器学习 · 计算机科学 2013-03-04 Nina Vaits , Edward Moroshko , Koby Crammer

In this paper, we propose Posterior Sampling Reinforcement Learning for Zero-sum Stochastic Games (PSRL-ZSG), the first online learning algorithm that achieves Bayesian regret bound of $O(HS\sqrt{AT})$ in the infinite-horizon zero-sum…

机器学习 · 计算机科学 2024-03-12 Mehdi Jafarnia-Jahromi , Rahul Jain , Ashutosh Nayyar

As machine learning models continue to swiftly advance, calibrating their performance has become a major concern prior to practical and widespread implementation. Most existing calibration methods often negatively impact model accuracy due…

计算与语言 · 计算机科学 2024-10-16 Yang Ba , Michelle V. Mancenido , Rong Pan

Combining machine clustering with deep models has shown remarkable superiority in deep clustering. It modifies the data processing pipeline into two alternating phases: feature clustering and model training. However, such alternating…

机器学习 · 计算机科学 2024-07-16 Yuxuan Yan , Na Lu , Ruofan Yan

This paper introduces an extension of generalised filtering for online applications. Generalised filtering refers to data assimilation schemes that jointly infer latent states, learn unknown model parameters, and estimate uncertainty in an…

We consider the problem of online linear regression in the stochastic setting. We derive high probability regret bounds for online ridge regression and the forward algorithm. This enables us to compare online regression algorithms more…

机器学习 · 计算机科学 2021-11-03 Reda Ouhamma , Odalric Maillard , Vianney Perchet

Monotone learning describes learning processes in which expected performance consistently improves as the amount of training data increases. However, recent studies challenge this conventional wisdom, revealing significant gaps in the…

机器学习 · 计算机科学 2025-05-22 Ming Li , Chenyi Zhang , Qin Li

Machine learning models trained by different optimization algorithms under different data distributions can exhibit distinct generalization behaviors. In this paper, we analyze the generalization of models trained by noisy iterative…

机器学习 · 统计学 2022-12-29 Hao Wang , Rui Gao , Flavio P. Calmon

In this paper, we propose a learning approach to analyze dynamic systems with asymmetric information structure. Instead of adopting a game theoretic setting, we investigate an online quadratic optimization problem driven by system noises…

最优化与控制 · 数学 2018-11-05 Cheng Tan , Wing Shing Wong