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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…

数据结构与算法 · 计算机科学 2022-04-22 Vaidehi Srinivas , David P. Woodruff , Ziyu Xu , Samson Zhou

Reinforcement learning algorithms have been widely used for decision-making tasks in various domains. However, the performance of these algorithms can be impacted by high variance and instability, particularly in environments with noise or…

机器学习 · 统计学 2026-03-31 Saunak Kumar Panda , Tong Li , Ruiqi Liu , Yisha Xiang

VC-dimension and $\varepsilon$-nets are key concepts in Statistical Learning Theory. Intuitively, VC-dimension is a measure of the size of a class of sets. The famous $\varepsilon$-net theorem, a fundamental result in Discrete Geometry,…

机器学习 · 计算机科学 2024-10-10 Sujoy Bhore , Devdan Dey , Satyam Singh

In this paper, we investigate the online non-convex optimization problem which generalizes the classic {online convex optimization problem by relaxing the convexity assumption on the cost function. For this type of problem, the classic…

机器学习 · 计算机科学 2017-09-14 Lin Yang , Cheng Tan , Wing Shing Wong

We present a new method for online prediction and learning of tensors ($N$-way arrays, $N >2$) from sequential measurements. We focus on the specific case of 3-D tensors and exploit a recently developed framework of structured tensor…

机器学习 · 统计学 2015-07-30 John Pothier , Josh Girson , Shuchin Aeron

Given a pre-trained classifier and multiple human experts, we investigate the task of online classification where model predictions are provided for free but querying humans incurs a cost. In this practical but under-explored setting,…

机器学习 · 计算机科学 2023-12-14 Sam Showalter , Alex Boyd , Padhraic Smyth , Mark Steyvers

The state-of-the-art online learning approaches are only capable of learning the metric for predefined tasks. In this paper, we consider lifelong learning problem to mimic "human learning", i.e., endowing a new capability to the learned…

机器学习 · 计算机科学 2017-06-13 Gan Sun , Yang Cong , Ji Liu , Xiaowei Xu

We consider the problem of on-line prediction of real-valued labels, assumed bounded in absolute value by a known constant, of new objects from known labeled objects. The prediction algorithm's performance is measured by the squared…

机器学习 · 计算机科学 2007-05-23 Vladimir Vovk

Online nonparametric estimators are gaining popularity due to their efficient computation and competitive generalization abilities. An important example includes variants of stochastic gradient descent. These algorithms often take one…

统计理论 · 数学 2025-07-08 Tianyu Zhang , Jing Lei

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…

机器学习 · 统计学 2014-05-27 Alexander Rakhlin , Karthik Sridharan

Neural networks are very effective when trained on large datasets for a large number of iterations. However, when they are trained on non-stationary streams of data and in an online fashion, their performance is reduced (1) by the online…

机器学习 · 计算机科学 2023-07-04 Albin Soutif--Cormerais , Antonio Carta , Joost Van de Weijer

We study online learnability of a wide class of problems, extending the results of (Rakhlin, Sridharan, Tewari, 2010) to general notions of performance measure well beyond external regret. Our framework simultaneously captures such…

机器学习 · 统计学 2011-03-25 Alexander Rakhlin , Karthik Sridharan , Ambuj Tewari

We consider prediction with expert advice when the loss vectors are assumed to lie in a set described by the sum of atomic norm balls. We derive a regret bound for a general version of the online mirror descent (OMD) algorithm that uses a…

机器学习 · 计算机科学 2017-11-15 Siddharth Barman , Aditya Gopalan , Aadirupa Saha

We consider the problem of recovering an unknown vector from noisy data with the help of projection estimates. The goal is to find a convex combination of these estimates with the minimal risk. We study an aggregation method based on the…

统计理论 · 数学 2012-06-20 Yu. Golubev

This paper describes a family of probabilistic architectures designed for online learning under the logarithmic loss. Rather than relying on non-linear transfer functions, our method gains representational power by the use of data…

We study nonparametric regression over Besov spaces from noisy observations under sub-exponential noise, aiming to achieve minimax-optimal guarantees on the integrated squared error that hold with high probability and adapt to the unknown…

统计理论 · 数学 2026-02-13 Paul Liautaud , Pierre Gaillard , Olivier Wintenberger

Online learning is an inferential paradigm in which parameters are updated incrementally from sequentially available data, in contrast to batch learning, where the entire dataset is processed at once. In this paper, we assume that…

统计理论 · 数学 2026-02-12 Jeyong Lee , Junhyeok Choi , Minwoo Chae

In offline reinforcement learning, a policy needs to be learned from a single pre-collected dataset. Typically, policies are thus regularized during training to behave similarly to the data generating policy, by adding a penalty based on a…

机器学习 · 计算机科学 2021-07-13 Phillip Swazinna , Steffen Udluft , Daniel Hein , Thomas Runkler

We develop an online learning method for prediction, which is important in problems with large and/or streaming data sets. We formulate the learning approach using a covariance-fitting methodology, and show that the resulting predictor has…

机器学习 · 计算机科学 2017-03-16 Dave Zachariah , Petre Stoica , Thomas B. Schön

We introduce an online neural sequence to sequence model that learns to alternate between encoding and decoding segments of the input as it is read. By independently tracking the encoding and decoding representations our algorithm permits…

计算与语言 · 计算机科学 2016-09-28 Lei Yu , Jan Buys , Phil Blunsom