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CORR
2010
Springer
92views Education» more  CORR 2010»
15 years 23 days ago
Regression on fixed-rank positive semidefinite matrices: a Riemannian approach
The paper addresses the problem of learning a regression model parameterized by a fixed-rank positive semidefinite matrix. The focus is on the nonlinear nature of the search space...
Gilles Meyer, Silvere Bonnabel, Rodolphe Sepulchre
SIAMMAX
2010
123views more  SIAMMAX 2010»
14 years 10 months ago
Joint Spectral Characteristics of Matrices: A Conic Programming Approach
We propose a new approach to estimate the joint spectral radius and the joint spectral subradius of an arbitrary set of matrices. We first restrict our attention to matrices that ...
Vladimir Protasov, Raphaël M. Jungers, Vincen...
COMPGEOM
2011
ACM
14 years 7 months ago
Zigzag persistent homology in matrix multiplication time
We present a new algorithm for computing zigzag persistent homology, an algebraic structure which encodes changes to homology groups of a simplicial complex over a sequence of sim...
Nikola Milosavljevic, Dmitriy Morozov, Primoz Skra...
KDD
2012
ACM
205views Data Mining» more  KDD 2012»
13 years 6 months ago
From user comments to on-line conversations
We present an analysis of user conversations in on-line social media and their evolution over time. We propose a dynamic model that predicts the growth dynamics and structural pro...
Chunyan Wang, Mao Ye, Bernardo A. Huberman
CADE
2008
Springer
16 years 4 months ago
On Automating the Calculus of Relations
Relation algebras provide abstract equational axioms for the calculus of binary relations. They name an established area of mathematics with various applications in computer scienc...
Georg Struth, Peter Höfner