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COMBINATORICS
2007
67views more  COMBINATORICS 2007»
15 years 6 months ago
Non-Commutative Sylvester's Determinantal Identity
Sylvester’s identity is a classical determinantal identity with a straightforward linear algebra proof. We present combinatorial proofs of several non-commutative extensions, an...
Matjaz Konvalinka
144
Voted
DCG
2000
75views more  DCG 2000»
15 years 6 months ago
Cutting Polytopes and Flag f-Vectors
We show how the flag f -vector of a polytope changes when cutting off any face, generalizing work of Lee for simple polytopes. The result is in terms of explicit linear operators o...
Richard Ehrenborg, D. Johnston, R. Rajagopalan, Ma...
SIAMJO
2010
125views more  SIAMJO 2010»
15 years 1 months ago
Trading Accuracy for Sparsity in Optimization Problems with Sparsity Constraints
We study the problem of minimizing the expected loss of a linear predictor while constraining its sparsity, i.e., bounding the number of features used by the predictor. While the r...
Shai Shalev-Shwartz, Nathan Srebro, Tong Zhang
CPM
2006
Springer
145views Combinatorics» more  CPM 2006»
15 years 10 months ago
Approximation of RNA Multiple Structural Alignment
Abstract. In the context of non-coding RNA (ncRNA) multiple structural alignment, Davydov and Batzoglou introduced in [7] the problem of finding the largest nested linear graph tha...
Marcin Kubica, Romeo Rizzi, Stéphane Vialet...
ICCV
1999
IEEE
16 years 8 months ago
Trajectory Triangulation over Conic Sections
We consider the problem of reconstructing the 3D coordinates of a moving point seen from a monocular moving camera, i.e., to reconstruct moving objects from line-of-sight measurem...
Amnon Shashua, Shai Avidan, Michael Werman