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We present the very first robust Bayesian Online Changepoint Detection algorithm through General Bayesian Inference (GBI) with $\beta$-divergences. The resulting inference procedure is doubly robust for both the parameter and the…

Machine Learning · Statistics 2018-11-28 Jeremias Knoblauch , Jack Jewson , Theodoros Damoulas

Gaussian process regression is a well-established Bayesian machine learning method. We propose a new approach to Gaussian process regression using quantum kernels based on parameterized quantum circuits. By employing a hardware-efficient…

Quantum Physics · Physics 2024-02-06 Frederic Rapp , Marco Roth

We consider an online learning to rank setting in which, at each round, an oblivious adversary generates a list of $m$ documents, pertaining to a query, and the learner produces scores to rank the documents. The adversary then generates a…

Machine Learning · Computer Science 2016-08-24 Sougata Chaudhuri , Ambuj Tewari

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

We extend the theory of boosting for regression problems to the online learning setting. Generalizing from the batch setting for boosting, the notion of a weak learning algorithm is modeled as an online learning algorithm with linear loss…

Machine Learning · Computer Science 2015-11-03 Alina Beygelzimer , Elad Hazan , Satyen Kale , Haipeng Luo

We study robust mean estimation in an online and distributed scenario in the presence of adversarial data attacks. At each time step, each agent in a network receives a potentially corrupted data point, where the data points were originally…

Cryptography and Security · Computer Science 2022-09-21 Tong Yao , Shreyas Sundaram

Online Passive-Aggressive (PA) learning is an effective framework for performing max-margin online learning. But the deterministic formulation and estimated single large-margin model could limit its capability in discovering descriptive…

Machine Learning · Computer Science 2013-12-13 Tianlin Shi , Jun Zhu

Regression for spatially dependent outcomes poses many challenges, for inference and for computation. Non-spatial models and traditional spatial mixed-effects models each have their advantages and disadvantages, making it difficult for…

Methodology · Statistics 2017-08-02 John Hughes

We study an online linear regression setting in which the observed feature vectors are corrupted by noise and the learner can pay to reduce the noise level. In practice, this may happen for several reasons: for example, because features can…

Machine Learning · Computer Science 2025-11-12 Nadav Merlis , Kyoungseok Jang , Nicolò Cesa-Bianchi

Online learning with expert advice is a fundamental problem of sequential prediction. In this problem, the algorithm has access to a set of $n$ "experts" who make predictions on each day. The goal on each day is to process these…

Data Structures and Algorithms · Computer Science 2022-04-22 Vaidehi Srinivas , David P. Woodruff , Ziyu Xu , Samson Zhou

We propose an online inference method for censored quantile regression with streaming data sets. A key strategy is to approximate the martingale-based unsmooth objective function with a quadratic loss function involving a well-justified…

Statistics Theory · Mathematics 2025-07-22 Yi Deng , Shuwei Li , Liuquan Sun , Baoxue Zhang

This work addresses the classic machine learning problem of online prediction with expert advice. We consider the finite-horizon version of this zero-sum, two-person game. Using verification arguments from optimal control theory, we view…

Machine Learning · Computer Science 2020-06-30 Vladimir A. Kobzar , Robert V. Kohn , Zhilei Wang

We study online learning when individual instances are corrupted by adversarially chosen random noise. We assume the noise distribution is unknown, and may change over time with no restriction other than having zero mean and bounded…

Machine Learning · Computer Science 2015-03-17 Nicolò Cesa-Bianchi , Shai Shalev-Shwartz , Ohad Shamir

We consider Bayesian optimization in settings where observations can be adversarially biased, for example by an uncontrolled hidden confounder. Our first contribution is a reduction of the confounded setting to the dueling bandit model.…

Machine Learning · Statistics 2021-06-10 Johannes Kirschner , Andreas Krause

We consider the problem of online linear regression on arbitrary deterministic sequences when the ambient dimension d can be much larger than the number of time rounds T. We introduce the notion of sparsity regret bound, which is a…

Machine Learning · Statistics 2013-04-17 Sébastien Gerchinovitz

We prove the familiar Lazy Online Gradient Descent algorithm is universal on polytope domains. That means it gets $O(1)$ pseudo-regret against i.i.d opponents, while simultaneously achieving the well-known $O(\sqrt N)$ worst-case regret…

Machine Learning · Computer Science 2022-09-01 Daron Anderson , Douglas Leith

Machine learning algorithms are designed to make accurate predictions of the future based on existing data, while online algorithms seek to bound some performance measure (typically the competitive ratio) without knowledge of the future.…

Machine Learning · Computer Science 2021-09-30 Kevin Rao

We consider the most common variants of linear regression, including Ridge, Lasso and Support-vector regression, in a setting where the learner is allowed to observe only a fixed number of attributes of each example at training time. We…

Machine Learning · Computer Science 2015-03-19 Elad Hazan , Tomer Koren

Gaussian Process Regression is a well-known machine learning technique for which several quantum algorithms have been proposed. We show here that in a wide range of scenarios these algorithms show no exponential speedup. We achieve this by…

Quantum Physics · Physics 2025-07-04 Dominic Lowe , M. S. Kim , Roberto Bondesan

We consider the problem of online nonparametric regression with arbitrary deterministic sequences. Using ideas from the chaining technique, we design an algorithm that achieves a Dudley-type regret bound similar to the one obtained in a…

Machine Learning · Statistics 2015-07-02 Pierre Gaillard , Sébastien Gerchinovitz
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