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We consider a model of selective prediction, where the prediction algorithm is given a data sequence in an online fashion and asked to predict a pre-specified statistic of the upcoming data points. The algorithm is allowed to choose when to…

Machine Learning · Computer Science 2019-05-30 Mingda Qiao , Gregory Valiant

We consider the problem of choosing a density estimate from a set of distributions F, minimizing the L1-distance to an unknown distribution (Devroye, Lugosi 2001). Devroye and Lugosi analyze two algorithms for the problem: Scheffe…

Machine Learning · Computer Science 2007-12-19 Satyaki Mahalanabis , Daniel Stefankovic

We present a sorting algorithm for the case of recurrent random comparison errors. The algorithm essentially achieves simultaneously good properties of previous algorithms for sorting $n$ distinct elements in this model. In particular, it…

Data Structures and Algorithms · Computer Science 2017-09-22 Barbara Geissmann , Stefano Leucci , Chih-Hung Liu , Paolo Penna

We introduce and study the problem of dueling optimization with a monotone adversary, which is a generalization of (noiseless) dueling convex optimization. The goal is to design an online algorithm to find a minimizer $\mathbf{x}^{*}$ for a…

Data Structures and Algorithms · Computer Science 2023-11-21 Avrim Blum , Meghal Gupta , Gene Li , Naren Sarayu Manoj , Aadirupa Saha , Yuanyuan Yang

We consider the sample complexity of learning with adversarial robustness. Most prior theoretical results for this problem have considered a setting where different classes in the data are close together or overlapping. Motivated by some…

Machine Learning · Computer Science 2023-01-19 Robi Bhattacharjee , Somesh Jha , Kamalika Chaudhuri

Maximal Independent Set selection is a fundamental problem in distributed computing. A novel probabilistic algorithm for this problem has recently been proposed by Afek et al, inspired by the study of the way that developing cells in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-02 Alex Scott , Peter Jeavons , Lei Xu

Maximum entropy approach to classification is very well studied in applied statistics and machine learning and almost all the methods that exists in literature are discriminative in nature. In this paper, we introduce a maximum entropy…

Information Theory · Computer Science 2013-12-31 Ambedkar Dukkipati , Gaurav Pandey , Debarghya Ghoshdastidar , Paramita Koley , D. M. V. Satya Sriram

We investigate distribution testing with access to non-adaptive conditional samples. In the conditional sampling model, the algorithm is given the following access to a distribution: it submits a query set $S$ to an oracle, which returns a…

Data Structures and Algorithms · Computer Science 2018-11-06 Gautam Kamath , Christos Tzamos

We study sorting in the evolving data model, introduced by [AKMU11], where the true total order changes while the sorting algorithm is processing the input. More precisely, each comparison operation of the algorithm is followed by a…

Data Structures and Algorithms · Computer Science 2024-09-24 George Giakkoupis , Marcos Kiwi , Dimitrios Los

We present deterministic distributed algorithms for computing approximate maximum cardinality matchings and approximate maximum weight matchings. Our algorithm for the unweighted case computes a matching whose size is at least $(1-\eps)$…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-11-12 Guy Even , Moti Medina , Dana Ron

The maximum coverage problem is to select $k$ sets from a collection of sets such that the cardinality of the union of the selected sets is maximized. We consider $(1-1/e-\epsilon)$-approximation algorithms for this NP-hard problem in three…

Data Structures and Algorithms · Computer Science 2024-03-22 Amit Chakrabarti , Andrew McGregor , Anthony Wirth

We study the problem of aligning the supports of distributions. Compared to the existing work on distribution alignment, support alignment does not require the densities to be matched. We propose symmetric support difference as a divergence…

Machine Learning · Computer Science 2022-03-18 Shangyuan Tong , Timur Garipov , Yang Zhang , Shiyu Chang , Tommi S. Jaakkola

We study approximation algorithms for the following three string measures that are widely used in practice: edit distance (ED), longest common subsequence (LCS), and longest increasing sequence (LIS). All three problems can be solved…

Data Structures and Algorithms · Computer Science 2020-07-28 Kuan Cheng , Zhengzhong Jin , Xin Li , Yu Zheng

Current machine learning models achieve super-human performance in many real-world applications. Still, they are susceptible against imperceptible adversarial perturbations. The most effective solution for this problem is adversarial…

Machine Learning · Computer Science 2023-01-26 Mohammad Azizmalayeri , Arman Zarei , Alireza Isavand , Mohammad Taghi Manzuri , Mohammad Hossein Rohban

We study an online version of the max-min fair allocation problem for indivisible items. In this problem, items arrive one by one, and each item must be allocated irrevocably on arrival to one of $n$ agents, who have additive valuations for…

Computer Science and Game Theory · Computer Science 2021-11-16 Yasushi Kawase , Hanna Sumita

Suppose a customer is faced with a sequence of fluctuating prices, such as for airfare or a product sold by a large online retailer. Given distributional information about what price they might face each day, how should they choose when to…

Data Structures and Algorithms · Computer Science 2019-10-10 Hossein Esfandiari , MohammadTaghi HajiAghayi , Brendan Lucier , Michael Mitzenmacher

We propose distributed algorithms for two well-established problems that operate efficiently under extremely harsh conditions. Our algorithms achieve state-of-the-art performance in a simple and novel way. Our algorithm for maximal…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 Peter Jeavons , Alex Scott , Lei Xu

In this work, we initiate the study of fault tolerant Max Cut, where given an edge-weighted undirected graph $G=(V,E)$, the goal is to find a cut $S\subseteq V$ that maximizes the total weight of edges that cross $S$ even after an adversary…

Data Structures and Algorithms · Computer Science 2021-05-05 Keren Censor-Hillel , Noa Marelly , Roy Schwartz , Tigran Tonoyan

The population-based optimization algorithms have provided promising results in feature selection problems. However, the main challenges are high time complexity. Moreover, the interaction between features is another big challenge in FS…

Neural and Evolutionary Computing · Computer Science 2021-10-26 Motahare Namakin , Modjtaba Rouhani , Mostafa Sabzekar

We study the problem of computing a longest increasing subsequence in a sequence $S$ of $n$ distinct elements in the presence of persistent comparison errors. In this model, every comparison between two elements can return the wrong result…

Data Structures and Algorithms · Computer Science 2018-08-13 Barbara Geissmann