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Pandora's Box with Correlations: Learning and Approximation [article]

Shuchi Chawla, Evangelia Gergatsouli, Yifeng Teng, Christos Tzamos, Ruimin Zhang
2020 arXiv   pre-print
In this paper, we provide the first approximation algorithms for Pandora's Box-type problems with correlations.  ...  The Pandora's Box problem and its extensions capture optimization problems with stochastic input where the algorithm can obtain instantiations of input random variables at some cost.  ...  In this paper, we provide the first competitive algorithms for Pandora's Box-type problems with correlations.  ... 
arXiv:1911.01632v2 fatcat:jfdcn6ba4rcb3bjdvvrplsqqry

Approximating Pandora's Box with Correlations [article]

Shuchi Chawla, Evangelia Gergatsouli, Jeremy McMahan, Christos Tzamos
2022 arXiv   pre-print
We revisit the classic Pandora's Box (PB) problem under correlated distributions on the box values.  ...  For distributions of support m, UDT admits a log m approximation, and while a constant factor approximation in polynomial time is a long-standing open problem, constant factor approximations are achievable  ...  Generally, the complexity of the Pandora's Box with correlations is not yet well understood.  ... 
arXiv:2108.12976v2 fatcat:lib7qkcokrcwzgpcecvydw5fli

Competitive Information Design for Pandora's Box [article]

Bolin Ding, Yiding Feng, Chien-Ju Ho, Wei Tang, Haifeng Xu
2022 arXiv   pre-print
This variant with strategic boxes is motivated by a wide range of real-world economic applications for Pandora's box.  ...  We study a natural competitive-information-design variant for the Pandora's Box problem (Weitzman, 1979), where each box is associated with a strategic information sender who can design what information  ...  We analyze the welfare in equilibrium and how it approximates optimal welfare.  ... 
arXiv:2103.03769v2 fatcat:hhh6qitel5bmvnxdbngapsnkqq

Online Pandora's Boxes and Bandits

Hossein Esfandiari, MohammadTaghi HajiAghayi, Brendan Lucier, Michael Mitzenmacher
2019 PROCEEDINGS OF THE THIRTIETH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE AND THE TWENTY-EIGHTH INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE CONFERENCE  
Boxes are presented online, each with a random value and cost drawn jointly from some known distribution.  ...  Our problem generalizes both the classic Pandora's box problem and the prophet inequality framework.  ...  Acknowledgments Hossein Esfandiari was supported in part by NSF grants CCF-1320231 and CNS-1228598.  ... 
doi:10.1609/aaai.v33i01.33011885 fatcat:2xgwhubkcba6tbog5yfcvs47fu

Online Pandora's Boxes and Bandits [article]

Hossein Esfandiari, MohammadTaghi Hajiaghayi, Brendan Lucier, Michael Mitzenmacher
2019 arXiv   pre-print
Boxes are presented online, each with a random value and cost drew jointly from some known distribution.  ...  Our problem generalizes both the classic Pandora's box problem and the prophet inequality framework.  ...  Acknowledgments Hossein Esfandiari was supported in part by NSF grants CCF-1320231 and CNS-1228598. MohammadTaghi  ... 
arXiv:1901.10698v1 fatcat:bmcdbzvfavhjfhq42yujrumfby

Contextual Pandora's Box [article]

Alexia Atsidakou, Constantine Caramanis, Evangelia Gergatsouli, Orestis Papadigenopoulos, Christos Tzamos
2022 arXiv   pre-print
In this work, we extend Pandora's Box to the online setting, while incorporating context.  ...  At every round, we are presented with a number of alternatives each having a context, an exploration cost and an unknown value drawn from an unknown prior distribution that may change at every round.  ...  Since then, there has been a long line of research studying Pandora's Box and its variants e.g. where boxes can be selected without inspection [6, 7] , there is correlation between the boxes [8] , the  ... 
arXiv:2205.13114v1 fatcat:get7dmzdcvfh7a5iwsuosgzz6e

Towards Massive MIMO 2.0: Understanding spatial correlation, interference suppression, and pilot contamination [article]

Luca Sanguinetti and Emil Björnson and Jakob Hoydis
2019 arXiv   pre-print
The key concepts are adopted in 5G and base stations (BSs) with M=64 full-digital transceivers have been commercially deployed in sub-6 GHz bands.  ...  Hence, this tutorial article explains the importance of considering spatial channel correlation and using signal processing schemes designed for multicell networks.  ...  ACKNOWLEDGMENTS The authors would like to thank Lars Thiele, Moritz Lossow, Thomas Wirth, Martin Kurras, Leszek Raschkowski and Stephan Jaeckel, at Fraunhofer Heinrich Hertz Institute for kindly providing  ... 
arXiv:1904.03406v3 fatcat:4v2ko2jh2nb4dpnktcwce3ekne

Long range correlations in high multiplicity hadron collisions: Building bridges with ridges

Raju Venugopalan
2015 Annals of Physics  
We discuss the physics of the ridge -azimuthally collimated long range rapidity correlations -in high multiplicity proton-proton and protonnucleus collisions.  ...  We outline some of the theoretical discussions in the literature that address the systematics of these ridge correlations.  ...  Pandora's box So what's the physics that generates these ridge-like structures? Is it initial state dynamics, or collective flow, or some combination of the two?  ... 
doi:10.1016/j.aop.2014.08.001 fatcat:aaa564znrvflhocfn5kjwxd2ey

Online Learning for Min Sum Set Cover and Pandora's Box [article]

Evangelia Gergatsouli, Christos Tzamos
2022 arXiv   pre-print
In Pandora's Box, we are presented with n boxes, each containing an unknown value and the goal is to open the boxes in some order to minimize the sum of the search cost and the smallest value found.  ...  Two central problems in Stochastic Optimization are Min Sum Set Cover and Pandora's Box.  ...  In that work, the authors study a stochastic version of Pandora's Box with an arbitrarily correlated distribution and aim to approximate the optimal partially adaptive strategies.  ... 
arXiv:2202.04870v2 fatcat:23gvbitbjfhe3jyrcmsw4sc7ke

Generalizing Complex Hypotheses on Product Distributions: Auctions, Prophet Inequalities, and Pandora's Problem [article]

Chenghao Guo, Zhiyi Huang, Zhihao Gavin Tang, Xinzhi Zhang
2020 arXiv   pre-print
Weinberg, FOCS 2018) and prophet inequality (Correa et al., EC 2019), and provide the first and tight sample complexity bound for Pandora's problem.  ...  The main contributions are two general sample complexity bounds: (1) Õ( nk/ϵ^2) samples are sufficient and necessary for learning an ϵ-optimal hypothesis in any problem on an n-dimensional product distribution  ...  Therefore, to get an ǫ-additive approximation in Pandora's problem, we need a ǫ n`1 -additive approximation w.r.t. the general learning problem H.  ... 
arXiv:1911.11936v2 fatcat:7n646vwhmzf6ripqycgxjm3i4u

Delegated Pandora's box [article]

Curtis Bechtel and Shaddin Dughmi and Neel Patel
2022 arXiv   pre-print
In this work, we consider the delegation gap of the generalized Pandora's box problem, a search problem in which searching for solutions incurs known costs and solutions are restricted by some downward-closed  ...  We show that there are constant-factor delegation gaps in the free-agent model with discounted-cost approximations for certain downward closed constraints and constant discount factors.  ...  [8] further improves approximation guarantees for the generalized Pandora's box problem with matching constraints.  ... 
arXiv:2202.10382v1 fatcat:xts47zlsifeanajytzwywsri7u

Delegated Pandora's Box

Curtis Bechtel, Shaddin Dughmi, Neel Patel
2022 Proceedings of the 23rd ACM Conference on Economics and Computation  
In this work, we consider the delegation gap of the generalized Pandora's box problem, a search problem in which searching for solutions incurs known costs and solutions are restricted by some downward-closed  ...  We show that there are constant-factor delegation gaps in the free-agent model with discounted-cost approximations for certain downward closed constraints and constant discount factors.  ...  ACKNOWLEDGMENTS This work is supported by the National Science Foundation through CAREER Award CCF-1350900 and Grant CCF-2009060.  ... 
doi:10.1145/3490486.3538267 fatcat:nzmtr3y72jh3dnfgtpg47mxqne

Learning Utilities and Equilibria in Non-Truthful Auctions [article]

Hu Fu, Tao Lin
2020 arXiv   pre-print
En route, we improve the sample complexity bound, recently obtained by Guo et al. (2020), for the Pandora's Box problem, which is a classical model for sequential consumer search.  ...  As a consequence, this number of samples suffice for learning all approximate equilibria. We give almost matching (up to polylog factors) lower bound on the sample complexity for learning utilities.  ...  The Pandora's Box Problem. The following Pandora's Box problem, named by Weitzman (1979), abstracts the welfare maximization problem in the presence of search costs.  ... 
arXiv:2007.01722v2 fatcat:wj5qfimygfannp4gmc32gvkttu

The Price of Information in Combinatorial Optimization [chapter]

Sahil Singla
2018 Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms  
A classical example of the above setting is Weitzman's "Pandora's box" problem where we are given probability distributions on values of n independent random variables.  ...  We give a technique that reduces such problems to their non-price counterparts, and use it to design exact/approximation algorithms to optimize our utility/disutility.  ...  Acknowledgments We thank Anupam Gupta, Guru Prashanth, Bobby Kleinberg, and Akanksha Bansal for helpful comments on improving the presentation of this paper.  ... 
doi:10.1137/1.9781611975031.161 dblp:conf/soda/Singla18 fatcat:ffxlb43y4bdmrico7jzsvcb2fm

Methylation Sees the Light

L. B. Ray
2014 Science  
VIROLOGY Opening Pandora's Box The fi rst woman on Earth, Pandora, had a "box," or rather a jar, that Zeus commanded her to safeguard and never open.  ...  In contrast to studies showing increased repression of some genes during aging, a global loss of approximately 50% of nucleosomes correlated with the induction of expression of the entire genome.  ... 
doi:10.1126/science.343.6175.1059-c fatcat:gtx5qpk5ubd33kzhb347i3gcdm
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