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Massive data analysis calls for distributed algorithms and theories. We design a multi-round distributed algorithm for canonical correlation analysis. We construct principal directions through the convex formulation of canonical correlation…

统计计算 · 统计学 2024-12-24 Canyi Chen , Liping Zhu

We consider cost constrained versions of the minimum spanning tree problem and the assignment problem. We assume edge weights are independent copies of a continuous random variable $Z$ that satisfies $F(x)=\Pr(Z\leq x)\approx x^\alpha$ as…

数据结构与算法 · 计算机科学 2021-06-01 Alan Frieze , Tomasz Tkocz

A dealer aims to share a secret with participants so that only predefined subsets can reconstruct it, while others learn nothing. The dealer and participants access correlated randomness and communicate over a one-way, public, rate-limited…

信息论 · 计算机科学 2026-01-27 Rumia Sultana , Remi A. Chou

We study common randomness where two parties have access to i.i.d. samples from a known random source, and wish to generate a shared random key using limited (or no) communication with the largest possible probability of agreement. This…

计算复杂性 · 计算机科学 2017-07-26 Badih Ghazi , T. S. Jayram

We present prior robust algorithms for a large class of resource allocation problems where requests arrive one-by-one (online), drawn independently from an unknown distribution at every step. We design a single algorithm that, for every…

数据结构与算法 · 计算机科学 2019-03-12 Nikhil R. Devanur , Kamal Jain , Balasubramanian Sivan , Christopher A. Wilkens

We study here the semi-supervised $k$-clustering problem where information is available on whether pairs of objects are in the same or in different clusters. This information is either available with certainty or with a limited level of…

机器学习 · 计算机科学 2024-10-21 Philipp Baumann , Dorit S. Hochbaum

Decision theoretical troubleshooting is about minimizing the expected cost of solving a certain problem like repairing a complicated man-made device. In this paper we consider situations where you have to take apart some of the device to…

人工智能 · 计算机科学 2012-03-19 Thorsten J. Ottosen , Finn Verner Jensen

Reward allocation, also known as the credit assignment problem, has been an important topic in economics, engineering, and machine learning. An important concept in reward allocation is the core, which is the set of stable allocations where…

计算机科学与博弈论 · 计算机科学 2024-11-01 Nam Phuong Tran , The Anh Ta , Shuqing Shi , Debmalya Mandal , Yali Du , Long Tran-Thanh

We determine the probability, structure dependent, that the block Wiedemann algorithm correctly computes leading invariant factors. This leads to a tight lower bound for the probability, structure independent. We show, using block size…

符号计算 · 计算机科学 2018-03-13 Gavin Harrison , Jeremy Johnson , B. David Saunders

Box folding represents a crucial challenge for automated packaging systems. This work bridges the gap between existing methods for folding sequence extraction and approaches focused on the adaptability of automated systems to specific box…

机器人学 · 计算机科学 2026-01-28 Giuseppe Fabio Preziosa , Davide Ferloni , Andrea Maria Zanchettin , Marco Faroni , Paolo Rocco

When sales of a product are affected by randomness in demand, retailers can use dynamic pricing strategies to maximise their profits. In this article the pricing problem is formulated as a stochastic optimal control problem, where the…

最优化与控制 · 数学 2017-10-17 Asbjørn N. Riseth , Jeff N. Dewynne , Chris L. Farmer

Consider a seller with m heterogeneous items for sale to a single additive buyer whose values for the items are arbitrarily correlated. It was previously shown that, in such settings, distributions exist for which the seller's optimal…

计算机科学与博弈论 · 计算机科学 2018-12-03 Christos-Alexandros Psomas , Ariel Schvartzman , S. Matthew Weinberg

We characterize the optimal reward functions (scoring rules) that incentivize an agent to acquire information and report it truthfully to the principal. The optimal scoring rules let the agent make a simple binary bet in single-dimensional…

计算机科学与博弈论 · 计算机科学 2025-10-03 Jason D. Hartline , Yingkai Li , Liren Shan , Yifan Wu

Wishart random matrix theory is of major importance for the analysis of correlated time series. The distribution of the smallest eigenvalue for Wishart correlation matrices is particularly interesting in many applications. In the complex…

数学物理 · 物理学 2013-10-21 Tim Wirtz , Thomas Guhr

We introduce a method based on Conformal Prediction (CP) to quantify the uncertainty of full ranking algorithms. We focus on a specific scenario where $n+m$ items are to be ranked by some ``black box'' algorithm. It is assumed that the…

机器学习 · 计算机科学 2025-12-04 Jean-Baptiste Fermanian , Pierre Humbert , Gilles Blanchard

We consider the problem of cost-optimal utilization of a crowdsourcing platform for binary, unsupervised classification of a collection of items, given a prescribed error threshold. Workers on the crowdsourcing platform are assumed to be…

机器学习 · 计算机科学 2022-07-06 Yashvardhan Didwania , Jayakrishnan Nair , N. Hemachandra

For years, independence has been considered as an important concept in many disciplines. Nevertheless, we present the first research that investigates the discovery problem of independence in data. In its arguably simplest form,…

数据库 · 计算机科学 2021-01-08 Miika Hannula , Bor-Kuan Song , Sebastian Link

In many realistic problems of allocating resources, economy efficiency must be taken into consideration together with social equality, and price rigidities are often made according to some economic and social needs. We study the…

计算机科学与博弈论 · 计算机科学 2014-05-27 Wei Huang , Jian Lou , Zhonghua Wen

The research area of algorithms with predictions has seen recent success showing how to incorporate machine learning into algorithm design to improve performance when the predictions are correct, while retaining worst-case guarantees when…

机器学习 · 计算机科学 2022-12-06 Michael Dinitz , Sungjin Im , Thomas Lavastida , Benjamin Moseley , Sergei Vassilvitskii

When P indistinguishable balls are randomly distributed among L distinguishable boxes, and considering the dense system in which P much greater than L, our natural intuition tells us that the box with the average number of balls has the…

物理与社会 · 物理学 2016-06-14 Oded Kafri