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» On the Lower Bound of Local Optimums in K-Means Algorithm
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STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 7 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 8 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
GLOBECOM
2007
IEEE
14 years 29 days ago
Performance Analysis of V-BLAST with Optimum Power Allocation
—Comprehensive performance analysis of the unordered V-BLAST algorithm with various power allocation strategies is presented, which makes use of analytical tools and resorts to M...
Victoria Kostina, Sergey Loyka
COMPGEOM
2006
ACM
14 years 18 days ago
Lower bounds on locality sensitive hashing
Given a metric space (X, dX), c ≥ 1, r > 0, and p, q ∈ [0, 1], a distribution over mappings H : X → N is called a (r, cr, p, q)-sensitive hash family if any two points in...
Rajeev Motwani, Assaf Naor, Rina Panigrahy
APPROX
2010
Springer
168views Algorithms» more  APPROX 2010»
13 years 8 months ago
Lower Bounds for Local Monotonicity Reconstruction from Transitive-Closure Spanners
Abstract. Given a directed graph G = (V, E) and an integer k 1, a ktransitive-closure-spanner (k-TC-spanner) of G is a directed graph H = (V, EH ) that has (1) the same transitive...
Arnab Bhattacharyya, Elena Grigorescu, Madhav Jha,...