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We consider on-line density estimation with a parameterized density from the exponential family. The on-line algorithm receives one example at a time and maintains a parameter that is essentially an average of the past examples. After…

Machine Learning · Computer Science 2013-01-30 Katy S. Azoury , Manfred K. Warmuth

Learning-augmented algorithms have received significant attention in recent years, particularly in the context of online optimization. Motivated by the high computational cost of generating predictions, a growing line of work studies the…

Data Structures and Algorithms · Computer Science 2026-05-27 Yongho Shin , Phanu Vajanopath

We consider the problem of estimating piecewise regular functions in an online setting, i.e., the data arrive sequentially and at any round our task is to predict the value of the true function at the next revealed point using the available…

Statistics Theory · Mathematics 2022-04-01 Sabyasachi Chatterjee , Subhajit Goswami

In this book, I introduce the basic concepts of Online Learning through the modern view of Online Convex Optimization. Here, online learning refers to the framework of regret minimization under worst-case assumptions. I present first-order…

Machine Learning · Computer Science 2026-04-28 Francesco Orabona

Conventional hyperparameter optimization methods are computationally intensive and hard to generalize to scenarios that require dynamically adapting hyperparameters, such as life-long learning. Here, we propose an online hyperparameter…

Machine Learning · Computer Science 2021-04-09 Daniel Jiwoong Im , Cristina Savin , Kyunghyun Cho

We uncover a fairly general principle in online learning: If regret can be (approximately) expressed as a function of certain "sufficient statistics" for the data sequence, then there exists a special Burkholder function that 1) can be used…

Machine Learning · Computer Science 2018-03-22 Dylan J. Foster , Alexander Rakhlin , Karthik Sridharan

We consider the general problem of learning a predictor that satisfies multiple objectives of interest simultaneously, a broad framework that captures a range of specific learning goals including calibration, regret, and multiaccuracy. We…

Machine Learning · Computer Science 2026-02-17 Jivat Neet Kaur , Isaac Gibbs , Michael I. Jordan

In this paper, we provide two new stable online algorithms for the problem of prediction in reinforcement learning, \emph{i.e.}, estimating the value function of a model-free Markov reward process using the linear function approximation…

Machine Learning · Computer Science 2018-06-19 Ajin George Joseph , Shalabh Bhatnagar

Robust optimization (RO) has emerged as one of the leading paradigms to efficiently model parameter uncertainty. The recent connections between RO and problems in statistics and machine learning domains demand for solving RO problems in…

Optimization and Control · Mathematics 2017-11-21 Nam Ho-Nguyen , Fatma Kilinc-Karzan

Optical flow estimation can be formulated as an end-to-end supervised learning problem, which yields estimates with a superior accuracy-runtime tradeoff compared to alternative methodology. In this paper, we make such networks estimate…

Computer Vision and Pattern Recognition · Computer Science 2018-12-21 Eddy Ilg , Özgün Çiçek , Silvio Galesso , Aaron Klein , Osama Makansi , Frank Hutter , Thomas Brox

We study the problem of learning a latent variable model from a stream of data. Latent variable models are popular in practice because they can explain observed data in terms of unobserved concepts. These models have been traditionally…

Machine Learning · Computer Science 2018-04-27 Tong Yu , Branislav Kveton , Zheng Wen , Hung Bui , Ole J. Mengshoel

Statistical models can involve implicitly defined quantities, such as solutions to nonlinear ordinary differential equations (ODEs), that unavoidably need to be numerically approximated in order to evaluate the model. The approximation…

Computation · Statistics 2024-09-16 Juho Timonen , Nikolas Siccha , Ben Bales , Harri Lähdesmäki , Aki Vehtari

Offline reinforcement learning faces a significant challenge of value over-estimation due to the distributional drift between the dataset and the current learned policy, leading to learning failure in practice. The common approach is to…

Machine Learning · Computer Science 2023-12-05 Liting Chen , Jie Yan , Zhengdao Shao , Lu Wang , Qingwei Lin , Saravan Rajmohan , Thomas Moscibroda , Dongmei Zhang

Studies on generalization performance of machine learning algorithms under the scope of information theory suggest that compressed representations can guarantee good generalization, inspiring many compression-based regularization methods.…

Machine Learning · Computer Science 2019-10-16 Antoine Saporta , Yifu Chen , Michael Blot , Matthieu Cord

Machine Learning requires a large amount of training data in order to build accurate models. Sometimes the data arrives over time, requiring significant storage space and recalculating the model to account for the new data. On-line learning…

Machine Learning · Computer Science 2023-07-07 Mohammad Abu-Shaira , Greg Speegle

Ordinary differential equations (ODEs) provide a powerful framework for modeling dynamic systems arising in a wide range of scientific domains. However, most existing ODE methods focus on a single system, and do not adequately address the…

Methodology · Statistics 2026-04-08 Shuoxun Xu , Zijian Guo , Brooke R. Staveland , Robert T. Knight , Lexin Li

Reliable uncertainty estimation is critical for deploying neural networks (NNs) in real-world applications. While existing calibration techniques often rely on post-hoc adjustments or coarse-grained binning methods, they remain limited in…

Machine Learning · Computer Science 2025-05-30 Pedro Mendes , Paolo Romano , David Garlan

We introduce a new measure for the performance of online algorithms in Bayesian settings, where the input is drawn from a known prior, but the realizations are revealed one-by-one in an online fashion. Our new measure is called…

Computer Science and Game Theory · Computer Science 2022-11-07 Tomer Ezra , Michal Feldman , Nick Gravin , Zhihao Gavin Tang

In this paper, we study adaptive online convex optimization, and aim to design a universal algorithm that achieves optimal regret bounds for multiple common types of loss functions. Existing universal methods are limited in the sense that…

Machine Learning · Computer Science 2019-05-16 Guanghui Wang , Shiyin Lu , Lijun Zhang

We present methods for online linear optimization that take advantage of benign (as opposed to worst-case) sequences. Specifically if the sequence encountered by the learner is described well by a known "predictable process", the algorithms…

Machine Learning · Statistics 2014-05-27 Alexander Rakhlin , Karthik Sridharan
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