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UID:calendar.7080.field_data.0@www.ugov-ricerca.uniroma1.it
DTSTAMP:20260413T005659Z
CREATED:20150615T040918Z
DESCRIPTION:Algorithms Lunch-Time Talks@DIAG  Wednesday\, June 17th\, Aula 
 Magna\, DIAG - Sapienza\, Via Ariosto 25 12:00 - 12:30  Solving Optimizati
 on Problems with Diseconomies of Scale via                              De
 coupling                       Maxim Sviridenko (Yahoo! Research NY)  12:3
 0 - 13:00  Robust randomized matchings                        Jannik Matus
 chke (TU Berlin & Univ. of Tor Vergata)  13:00 - 14:00 Lunch break  14:00 
 - 14:30  Sequential Posted Price Mechanisms with Correlated Valuations    
                   Bart de Keijzer (Sapienza Univ. of Rome)  14:30 - 15:00 
  Parametric Network Flows                       Tom McCormick (Univ. of Br
 istish Columbia)  Abstracts:  Maxim Sviridenko (Yahoo! Research NY) Solvin
 g Optimization Problems with Diseconomies of Scale via Decoupling   We pre
 sent a new framework for solving optimization problems with a diseconomy o
 f scale. In such problems\, our goal is to minimize the cost of resources 
 used to perform a certain task. The cost of resources grows superlinearly 
 with the amount of resources used. We define a novel linear programming re
 laxation for such problems\, and then show that the integrality gap of the
  relaxation is A_q\, where A_q is the q-th moment of the Poisson random va
 riable with parameter 1. Using our framework\, we obtain approximation alg
 orithms for the Minimum Energy Efficient Routing\, Minimum Degree Balanced
  Spanning Tree\, Load Balancing on Unrelated Parallel Machines\, and Unrel
 ated Parallel Machine Scheduling with Nonlinear Functions of Completion Ti
 mes problems. (Joint work with Konstantin Makarychev)  Jannik Matuschke (T
 U Berlin & Univ. of Tor Vergata) Robust randomized matchings The following
  zero-sum game is played on a weighted graph: Alice selects a matching M a
 nd Bob selects a number k. Then\, Alice receives a payoff equal to the rat
 io of the weight of the k heaviest edges of M to the maximum weight of a m
 atching of size at most k in the graph. If M guarantees a payoff of at lea
 st L then it is called L-robust. In 2002\, Hassin and Rubinstein gave an a
 lgorithm that returns a sqrt(1/2)-robust matching\, which is best possible
 . In this talk\, we will see that Alice can improve on the guarantee of sq
 rt(1/2) when allowing her to play a randomized strategy. We devise a simpl
 e algorithm that returns a 1/ln(4)-robust randomized matching\, based on t
 he following observation: If all edge weights are integer powers of 2\, th
 en the lexicographically optimum matching is 1-robust. We prove this prope
 rty not only for matchings but for a very general class of independence sy
 stems that includes matroid intersection\, b-matchings\, and strong 2-exch
 ange systems. We also show that our robustness results for randomized matc
 hings translate to an asymptotic robustness guarantee for deterministic ma
 tchings: When restricting Bob's choice to cardinalities larger than a give
 n constant\, then Alice can find a single deterministic matching with appr
 oximately the same guaranteed payoff as in the randomized setting. (joint 
 work with Martin Skutella and José A. Soto) Bart de Keijzer (Sapienza Univ
 . of Rome) Sequential Posted Price Mechanisms with Correlated Valuations A
 bstract: We study the revenue performance of sequential posted price (SPP)
  mechanisms when the valuations of the buyers are drawn from a correlated 
 distribution. SPP mechanisms are conceptually simple mechanisms that work 
 by proposing a 'take-it-or-leave-it' offer to each buyer. We apply SPP mec
 hanisms to settings in which each buyer has unit demand and the mechanism 
 can assign the service to at most k of the buyers. We prove that with the 
 valuation distribution having finite support\, no SPP mechanism can extrac
 t a constant fraction of the optimal expected revenue\, even with unlimite
 d supply. We prove that a better revenue performance can be achieved if th
 e SPP mechanism can for any buyer either propose an offer or ask for its v
 aluation. In this case\, a Omega(1/max{1\,d}) fraction of the optimal reve
 nue can be extracted\, where d is the degree of dependence of the valuatio
 ns\, ranging from independence (d = 0) to complete dependence (d = n − 1).
  We also show that to achieve a constant fraction of the optimal revenue\,
  it is sufficient to restrict to mechanisms making take-it-or-leave-it off
 ers in a sequence independent from the buyers' valuations. (joint work wit
 h Marek Adamkzyk\, Allan Borodin\, Diodato Ferraioli and Stefano Leonardi)
   Tom McCormick (Univ. of Bristish Columbia) Parametric Network Flows We r
 eview the parametric optimization framework of Topkis\, and how the parame
 tric min cut results of Gallo\, Grigoriadis\, and Tarjan fit into the fram
 ework.  This framework gives two main results: a Structural Property that 
 min cuts are monotone in the parameter\, and an Algorithmic Property\, tha
 t one can compute all min cuts in the same time as solving the non-paramet
 ric problem.  Most applications of this framework in combinatorial optimiz
 ation are to 0-1 problems such as Min Cut.We extend these results to param
 etric capacity and parametric rewards versions of 'Max Reward Flow'\, a 'm
 ax' version of Min Cost Flow.  We prove that the Structural Property again
  holds\, and we adapt the Relax algorithm of Bertsekas to also get the Alg
 orithmic Property.  We further indicate how to extend the results to param
 etric Weighted Abstract Flow\, and to other problems. (joint work with Bri
 tta Peis and Jannik Matuschke) 
DTSTART;TZID=Europe/Paris:20150617T120000
DTEND;TZID=Europe/Paris:20150617T120000
LAST-MODIFIED:20150616T111232Z
LOCATION:DIAG - Via Ariosto 25\, Aula Magna
SUMMARY:Algorihtms Lunch Talks@DIAG  - Maxim Sviridenko (Yahoo! Research NY
 )\, Jannik Matuschke (TU Berlin & Univ. of Tor Vergata)\, Bart de Keijzer 
 (Sapienza Univ. of Rome)\, Tom McCormick (Univ. of Bristish Columbia)
URL;TYPE=URI:http://www.ugov-ricerca.uniroma1.it/node/7080
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