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Introduction to the study of G-varieties via desingularizations by homogeneous vector bundles 17-Jul-2008 10:15 AM PDT - 17-Jul-2008 11:15 AM PDT
Showing 1 - 20 of 35 matches
Complexity of matrix multiplication, an overview of Ch. 2 including tensors, rank of tensors, and wiring diagrams.
Date: July 07, 2008
29 views • over 11 years ago
The Alexander-Hirschowitz theorem
Date: July 18, 2008
17 views • over 11 years ago
What do the words "ACM", "Gorenstein", and " rational singularites" mean and why are these properties useful?
Date: July 16, 2008
11 views • over 11 years ago
Notions of tensor ranks: rank, border rank, multilinear rank, nonnegative rank
Date: July 08, 2008
7 views • over 11 years ago
§ 4.3,4,5 - Representations of the symmetric group, Young diagrams, Young symmetrizers and wiring diagrams. Using these tools to decompose V^{\otimes d} as a GL(V) module. Schur-Weyl Duality.
Date: July 09, 2008
7 views • over 11 years ago
Algebraic varieties § 3.1, 3.2. Basic definitions from algebraic geometry: projective space, variety, ideal, Zariski topology. Segre, Veronese, and other examples of varieties. Graphical models and motivating examples in statistics and information t
Date: July 07, 2008
7 views • over 11 years ago
Toric varieties, toric ideals, moment map, exponential families.
Date: July 10, 2008
7 views • over 11 years ago
§ 3.3,4,5,6 Tangent spaces to varieties, joins, cones, secant varieties, their dimension, Terracini's lemma.
Date: July 08, 2008
7 views • over 11 years ago
Tensor approximations
Date: July 07, 2008
6 views • over 11 years ago
Non-commutative harmonic analysis in machine learning
Date: July 14, 2008
5 views • over 11 years ago
§ 6.1,6.2,6.6,6.7 The Alexander-Hirshowitz theorem and dimensions of secant varieties of Segre varieties
Date: July 15, 2008
5 views • over 11 years ago
Uniqueness of tensor decomposition, direct sum conjecture
Date: July 14, 2008
5 views • over 11 years ago
§ 4.6,7,8 Highest weight vectors, bases of highest weight space. Ideals of Segre, Veronese varieties and homogeneous varieties in general, decomposing S^d(A_1\otimes \cdots \otimes A_n), characters.
Date: July 10, 2008
4 views • over 11 years ago
Hyperdeterminants and optimal approximability
Date: July 11, 2008
3 views • over 11 years ago
Induction for the rank of tensors
Date: July 18, 2008
3 views • over 11 years ago
Phylogenetic algebraic geometry
Date: July 10, 2008
3 views • over 11 years ago
finish Ch 4 (Littlewood-Richardson rule and other handy formulas, more decompositions of spaces of tensors)
Date: July 11, 2008
3 views • over 11 years ago
(d) the invertible case: Independent Component Analysis - optimization criteria and some numerical algorithms
Date: July 17, 2008
3 views • over 11 years ago
Student Lecture
Date: July 18, 2008
2 views • over 11 years ago
What is quantum information theory?
Date: July 08, 2008
2 views • over 11 years ago
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