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» Tensor Rank: Some Lower and Upper Bounds
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STOC
2009
ACM
133views Algorithms» more  STOC 2009»
15 years 10 months ago
Numerical linear algebra in the streaming model
We give near-optimal space bounds in the streaming model for linear algebra problems that include estimation of matrix products, linear regression, low-rank approximation, and app...
Kenneth L. Clarkson, David P. Woodruff
APPROX
2010
Springer
148views Algorithms» more  APPROX 2010»
14 years 11 months ago
Learning and Lower Bounds for AC0 with Threshold Gates
In 2002 Jackson et al. [JKS02] asked whether AC0 circuits augmented with a threshold gate at the output can be efficiently learned from uniform random examples. We answer this ques...
Parikshit Gopalan, Rocco A. Servedio
JCT
2007
146views more  JCT 2007»
14 years 10 months ago
Laplacian spectral bounds for clique and independence numbers of graphs
Let G be a simple graph with n vertices and m edges. Let ω(G) and α(G) be the numbers of vertices of the largest clique and the largest independent set in G, respectively. In th...
Mei Lu, Huiqing Liu, Feng Tian
TSMC
2010
14 years 4 months ago
Distance Approximating Dimension Reduction of Riemannian Manifolds
We study the problem of projecting high-dimensional tensor data on an unspecified Riemannian manifold onto some lower dimensional subspace1 without much distorting the pairwise geo...
Changyou Chen, Junping Zhang, Rudolf Fleischer
ASYNC
1997
IEEE
83views Hardware» more  ASYNC 1997»
15 years 1 months ago
Response Time Properties of Some Asynchronous Circuits
Wediscuss response timeproperties of linear arrays and tree-like arrays of cells with various handshake communication behaviours. The response times of a networkare the delays bet...
Jo C. Ebergen, Robert Berks