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What and Who
Title:On-the-fly array initialization
Speaker:Prof. Torben Hagerup
coming from:Universit├Ąt Augsburg
Speakers Bio:
Event Type:AG1 Mittagsseminar (own work)
Visibility:D1, D2, D3, D4, D5, SWS, RG1, MMCI
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Level:AG Audience
Language:English
Date, Time and Location
Date:Tuesday, 20 December 2016
Time:13:00
Duration:30 Minutes
Location:Saarbr├╝cken
Building:E1 4
Room:24
Abstract
We show that for all given positive integers n, t and w with n < 2^w,
an array of n entries of w bits each can be represented on a word RAM
with a word length of w bits in at most n w+ceiling(n (t/(2 w))^t) bits
of uninitialized memory to support constant-time initialization of the
whole array and O(t)-time reading and writing of individual array entries.
At one end of this tradeoff, we achieve initialization and access
(i.e., reading and writing) in constant time with n w+ceiling(n/(w^t)) bits
for arbitrary fixed t, to be compared with n w+Theta(n) bits for the
best previous solution, and at the opposite end, still with constant-time
initialization, we support O(log n)-time access with just n w+1 bits,
which is optimal for arbitrary access times if the initialization
executes fewer than n steps.
Contact
Name(s):Christina Fries
Video Broadcast
Video Broadcast:NoTo Location:
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Attachments, File(s):
Created by:Christina Fries/AG1/MPII/DE, 12/15/2016 09:43 AMLast modified by:Uwe Brahm/MPII/DE, 12/20/2016 07:01 AM
  • Christina Fries, 12/15/2016 02:17 PM
  • Christina Fries, 12/15/2016 09:46 AM -- Created document.