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We provide theoretical bounds on the worst case performance of the greedy algorithm in seeking to maximize a normalized, monotone, but not necessarily submodular objective function under a simple partition matroid constraint. We also…

Systems and Control · Electrical Eng. & Systems 2022-10-19 Benjamin Biggs , James McMahon , Philip Baldoni , Daniel J. Stilwell

We consider the problem of universal dynamic regret minimization under exp-concave and smooth losses. We show that appropriately designed Strongly Adaptive algorithms achieve a dynamic regret of $\tilde O(d^2 n^{1/5} C_n^{2/5} \vee d^2)$,…

Machine Learning · Computer Science 2023-02-28 Dheeraj Baby , Yu-Xiang Wang

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…

Machine Learning · Computer Science 2026-01-06 Yuki Shibukawa , Taira Tsuchiya , Shinsaku Sakaue , Kenji Yamanishi

We study the problem of computing an approximate maximum cardinality matching in the semi-streaming model when edges arrive in a \emph{random} order. In the semi-streaming model, the edges of the input graph G = (V,E) are given as a stream…

Data Structures and Algorithms · Computer Science 2020-05-04 Aaron Bernstein

We introduce \textbf{Directed Information $\gamma$-covering}, a simple but general framework for redundancy-aware context engineering. Directed information (DI), a causal analogue of mutual information, measures asymmetric predictiveness…

Information Theory · Computer Science 2025-10-02 Hai Huang

The domain of online algorithms with predictions has been extensively studied for different applications such as scheduling, caching (paging), clustering, ski rental, etc. Recently, Bamas et al., aiming for an unified method, have provided…

Data Structures and Algorithms · Computer Science 2021-10-04 Nguyen Kim Thang , Christoph Durr

We study the problem of online learning in Stackelberg games with side information between a leader and a sequence of followers. In every round the leader observes contextual information and commits to a mixed strategy, after which the…

Machine Learning · Computer Science 2026-05-05 Maria-Florina Balcan , Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Keegan Harris , Zhiwei Steven Wu

We study online aggregation of the predictions of experts, and first show new second-order regret bounds in the standard setting, which are obtained via a version of the Prod algorithm (and also a version of the polynomially weighted…

Machine Learning · Statistics 2014-02-11 Pierre Gaillard , Gilles Stoltz , Tim Van Erven

We consider the fundamental problem of prediction with expert advice where the experts are "optimizable": there is a black-box optimization oracle that can be used to compute, in constant time, the leading expert in retrospect at any point…

Machine Learning · Computer Science 2016-01-28 Elad Hazan , Tomer Koren

We study the communication complexity and streaming complexity of approximating unweighted semi-matchings. A semi-matching in a bipartite graph G = (A, B, E), with n = |A|, is a subset of edges S that matches all A vertices to B vertices…

Data Structures and Algorithms · Computer Science 2013-04-26 Christian Konrad , Adi Rosén

In this paper, we present a framework used to construct and analyze algorithms for online optimization problems with deadlines or with delay over a metric space. Using this framework, we present algorithms for several different problems. We…

Data Structures and Algorithms · Computer Science 2019-04-16 Yossi Azar , Noam Touitou

We investigate online pricing in two-sided markets where a platform repeatedly posts prices based on binary accept/reject feedback to maximize gains-from-trade (GFT) or profit. We characterize the regret achievable across three mechanism…

Computer Science and Game Theory · Computer Science 2026-02-13 Yiding Feng , Mengfan Ma , Bo Peng , Zongqi Wan

Algorithmic stability is a classical approach to understanding and analysis of the generalization error of learning algorithms. A notable weakness of most stability-based generalization bounds is that they hold only in expectation.…

Machine Learning · Computer Science 2019-06-25 Vitaly Feldman , Jan Vondrak

We study online inverse linear optimization, also known as contextual recommendation, where a learner sequentially infers an agent's hidden objective vector from observed optimal actions over feasible sets that change over time. The learner…

Machine Learning · Computer Science 2026-05-13 Taihei Oki , Shinsaku Sakaue

This paper investigates the challenges of optimal online policy learning under missing data. State-of-the-art algorithms implicitly assume that rewards are always observable. I show that when rewards are missing at random, the Upper…

Econometrics · Economics 2025-07-29 Filippo Palomba

Bilateral trade models the task of intermediating between two strategic agents, a seller and a buyer, who wish to trade a good. We study this problem from the perspective of a profit-maximizing broker within an online learning framework,…

Computer Science and Game Theory · Computer Science 2026-05-14 Simone Di Gregorio , Paul Dütting , Federico Fusco , Chris Schwiegelshohn

This paper considers a variant of the online paging problem, where the online algorithm has access to multiple predictors, each producing a sequence of predictions for the page arrival times. The predictors may have occasional prediction…

Data Structures and Algorithms · Computer Science 2020-11-20 Yuval Emek , Shay Kutten , Yangguang Shi

We study the discrete bin covering problem where a multiset of items from a fixed set $S \subseteq (0,1]$ must be split into disjoint subsets while maximizing the number of subsets whose contents sum to at least $1$. We study the online…

Data Structures and Algorithms · Computer Science 2024-01-29 Magnus Berg , Shahin Kamali

In this paper, we investigate the sample complexity of policy evaluation in infinite-horizon offline reinforcement learning (also known as the off-policy evaluation problem) with linear function approximation. We identify a hard regime…

Machine Learning · Computer Science 2021-03-19 Lin Chen , Bruno Scherrer , Peter L. Bartlett

In the problem of online portfolio selection as formulated by Cover (1991), the trader repeatedly distributes her capital over $ d $ assets in each of $ T > 1 $ rounds, with the goal of maximizing the total return. Cover proposed an…

Optimization and Control · Mathematics 2025-03-11 Rémi Jézéquel , Dmitrii M. Ostrovskii , Pierre Gaillard