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TIT
2002
89views more  TIT 2002»
13 years 7 months ago
Universal linear least squares prediction: Upper and lower bounds
We consider the problem of sequential linear prediction of real-valued sequences under the square-error loss function. For this problem, a prediction algorithm has been demonstrate...
Andrew C. Singer, Suleyman Serdar Kozat, Meir Fede...
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
14 years 8 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine
SODA
2010
ACM
144views Algorithms» more  SODA 2010»
13 years 6 months ago
Cell-Probe Lower Bounds for Succinct Partial Sums
The partial sums problem in succinct data structures asks to preprocess an array A[1 . . n] of bits into a data structure using as close to n bits as possible, and answer queries ...
Mihai Patrascu, Emanuele Viola
ICALP
2009
Springer
14 years 8 months ago
Limits and Applications of Group Algebras for Parameterized Problems
The algebraic framework introduced in [Koutis, Proc. of the 35th ICALP 2008] reduces several combinatorial problems in parameterized complexity to the problem of detecting multili...
Ioannis Koutis, Ryan Williams
CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 7 months ago
A lower bound for the tree-width of planar graphs with vital linkages
The disjoint paths problem asks, given an graph G and k + 1 pairs of terminals (s0, t0), . . . , (sk, tk), whether there are k + 1 pairwise disjoint paths P0, . . . , Pk, such tha...
Isolde Adler, Philipp Klaus Krause