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This paper studies online algorithms augmented with multiple machine-learned predictions. While online algorithms augmented with a single prediction have been extensively studied in recent years, the literature for the multiple predictions…

Machine Learning · Computer Science 2022-07-14 Keerti Anand , Rong Ge , Amit Kumar , Debmalya Panigrahi

We consider the problem of finding the $k^{th}$ highest element in a totally ordered set of $n$ elements (select), and partitioning a totally ordered set into the top $k$ and bottom $n-k$ elements (partition) using pairwise comparisons.…

Data Structures and Algorithms · Computer Science 2016-03-17 Mark Braverman , Jieming Mao , S. Matthew Weinberg

Semi-online algorithms that are allowed to perform a bounded amount of repacking achieve guaranteed good worst-case behaviour in a more realistic setting. Most of the previous works focused on minimization problems that aim to minimize some…

Data Structures and Algorithms · Computer Science 2021-04-21 Sebastian Berndt , Kilian Grage , Klaus Jansen , Lukas Johannsen , Maria Kosche

Motivated by the applications of rental services in e-commerce, we consider revenue maximization in online assortment of reusable resources for a stream of arriving consumers with different types. We design competitive online algorithms…

Data Structures and Algorithms · Computer Science 2025-12-09 Yiding Feng , Rad Niazadeh , Amin Saberi

Both the human brain and artificial learning agents operating in real-world or comparably complex environments are faced with the challenge of online model selection. In principle this challenge can be overcome: hierarchical Bayesian…

Machine Learning · Computer Science 2017-12-05 David G. Nagy , Gergő Orbán

In \emph{Online Sorting}, an array of $n$ initially empty cells is given. At each time step $t$, an element $x_t \in [0,1]$ arrives and must be placed irrevocably into an empty cell without any knowledge of future arrivals. We aim to…

Data Structures and Algorithms · Computer Science 2025-10-02 Andreas Kalavas , Charalampos Platanos , Thanos Tolias

In \emph{Online Sorting}, an array of $n$ initially empty cells is given. At each time step $t$, an element $x_t \in [0,1]$ arrives and must be placed irrevocably into an empty cell without any knowledge of future arrivals. We aim to…

Data Structures and Algorithms · Computer Science 2026-01-19 Andreas Kalavas , Charalampos Platanos , Thanos Tolias

We study fully dynamic online selection problems in an adversarial/stochastic setting that includes Bayesian online selection, prophet inequalities, posted price mechanisms, and stochastic probing problems subject to combinatorial…

Artificial Intelligence · Computer Science 2023-01-10 Vashist Avadhanula , Andrea Celli , Riccardo Colini-Baldeschi , Stefano Leonardi , Matteo Russo

Various decision support systems are available that implement Data Mining and Data Warehousing techniques for diving into the sea of data for getting useful patterns of knowledge (pearls). Classification, regression, clustering, and many…

Cryptography and Security · Computer Science 2024-03-01 Mohammad Khalid Imam Rahmani

We consider online scheduling on multiple machines for jobs arriving one-by-one with the objective of minimizing the makespan. For any number of identical parallel or uniformly related machines, we provide a competitive-ratio approximation…

Data Structures and Algorithms · Computer Science 2013-03-11 Nicole Megow , Andreas Wiese

In recent years we have witnessed an increase on the development of methods for submodular optimization, which have been motivated by the wide applicability of submodular functions in real-world data-science problems. In this paper, we…

Data Structures and Algorithms · Computer Science 2022-09-15 Guangyi Zhang , Nikolaj Tatti , Aristides Gionis

We consider online algorithms for the {\em page migration problem} that use predictions, potentially imperfect, to improve their performance. The best known online algorithms for this problem, due to Westbrook'94 and Bienkowski et al'17,…

Data Structures and Algorithms · Computer Science 2020-06-11 Piotr Indyk , Frederik Mallmann-Trenn , Slobodan Mitrović , Ronitt Rubinfeld

We consider the setting of online computation with advice, and study the bin packing problem and a number of scheduling problems. We show that it is possible, for any of these problems, to arbitrarily approach a competitive ratio of $1$…

Data Structures and Algorithms · Computer Science 2015-08-06 Marc P. Renault , Adi Rosén , Rob van Stee

We study the admission control problem in general networks. Communication requests arrive over time, and the online algorithm accepts or rejects each request while maintaining the capacity limitations of the network. The admission control…

Data Structures and Algorithms · Computer Science 2008-12-18 Noga Alon , Yossi Azar , Shai Gutner

We study the active learning problem of top-$k$ ranking from multi-wise comparisons under the popular multinomial logit model. Our goal is to identify the top-$k$ items with high probability by adaptively querying sets for comparisons and…

Data Structures and Algorithms · Computer Science 2017-08-01 Xi Chen , Yuanzhi Li , Jieming Mao

In this paper, we study a general online linear programming problem whose formulation encompasses many practical dynamic resource allocation problems, including internet advertising display applications, revenue management, various routing,…

Data Structures and Algorithms · Computer Science 2015-03-20 Patrick Jaillet , Xin Lu

Given a sequence of independent random variables with a common continuous distribution, we consider the online decision problem where one seeks to minimize the expected value of the time that is needed to complete the selection of a…

Probability · Mathematics 2016-09-05 Alessandro Arlotto , Elchanan Mossel , J. Michael Steele

In submodular $k$-secretary problem, the goal is to select $k$ items in a randomly ordered input so as to maximize the expected value of a given monotone submodular function on the set of selected items. In this paper, we introduce a…

Data Structures and Algorithms · Computer Science 2018-09-18 Shipra Agrawal , Mohammad Shadravan , Cliff Stein

We present the first in-place algorithm for sorting an array of size n that performs, in the worst case, at most O(n log n) element comparisons and O(n) element transports. This solves a long-standing open problem, stated explicitly, e.g.,…

Data Structures and Algorithms · Computer Science 2007-05-23 Gianni Franceschini , Viliam Geffert

Given $n$ elements, an integer $k$ and a parameter $\varepsilon$, we study to select an element with rank in $(k-n\varepsilon,k+n\varepsilon]$ using unreliable comparisons where the outcome of each comparison is incorrect independently with…

Data Structures and Algorithms · Computer Science 2022-05-04 Shengyu Huang , Chih-Hung Liu , Daniel Rutschman