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DTSTART:20131027T030000
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DTSTART:20140330T020000
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UID:calendar.6770.field_data.0@www.diag.uniroma1.it
DTSTAMP:20210730T082458Z
CREATED:20131123T163324Z
DESCRIPTION:We give algorithms for geometric graph problems in modern paral
lel models such as MapReduce. Our algorithms produce approximate solutions
for problems such as Minimum Spanning Tree (MST) and Earth-Mover Distance
(EMD). Provided the underlying set of points lies in a space of constant
dimension\, only a constant number of rounds is necessary for producing a
solution\, while the total amount of space and communication remains linea
r in the size of the data. In contrast\, for general graphs\, achieving th
e same result for MST (or even connectivity) remains a challenging open pr
oblem\, despite drawing significant attention in recent years.Our algorith
mic framework has implications beyond the MapReduce model. For example\, i
t yields a new algorithm for approximating EMD in the plane in near-linear
time n^(1+o(1)). We note that while recently Sharathkumar and Agarwal (ST
OC 2012) have developed a near-linear time algorithm for (1+epsilon)-appro
ximating EMD\, our approach is fundamentally different and also solves the
transportation (cost) problem\, raised as an open question in their work.
Joint work with Alexandr Andoni (Microsoft Research)\, Aleksandar Nikolov
(Rutgers University)\, and Grigory Yaroslavtsev (Brown University).
DTSTART;TZID=Europe/Paris:20131127T140000
DTEND;TZID=Europe/Paris:20131127T140000
LAST-MODIFIED:20131126T141251Z
LOCATION:DIAG - Via Ariosto 25\, Aula Magna
SUMMARY:Krzysztof Onak (IBM TJ Watson Research): Parallel Algorithms for Ge
ometric Graph Problems - Krzysztof Onak (IBM TJ Watson Research)
URL;TYPE=URI:https://www.diag.uniroma1.it/node/6770
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