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Bounding Duality Gap for Problems with Separable Objective     Bounding Duality Gap  Problems  Separable Objective       font style='font-size:12px;'> 2015/7/9
We consider the problem of minimizing a sum of non-convex functions over a compact domain, subject to linear inequality and equality constraints. We consider approximate solutions obtained by solving ...
PERVERSE SHEAVES ON LOOP GRASSMANNIANS AND LANGLANDS DUALITY     Abnormal bundle of circulation  LANGLANDS  duality       font style='font-size:12px;'> 2014/12/29
PERVERSE SHEAVES ON LOOP GRASSMANNIANS AND LANGLANDS DUALITY.
LINEAR KOSZUL DUALITY AND AFFINE HECKE ALGEBRAS     Linear Koszul duality   Affine   Algebra       font style='font-size:12px;'> 2014/12/24
n this paper we prove that the linear Koszul duality equivalence constructed in a previous paper provides a geometric realization of the Iwahori-Matsumoto involution of affine Hecke algebras.
Linear Koszul duality     Plexus vector  duality  Hecke algebra       font style='font-size:12px;'> 2014/12/24
In this paper we construct, for F1 and F2 subbundles of a vector bundle E, a ‘Koszul duality’ equivalence between derived categories of m-equivariant coherent(dg-)sheaves on the derived intersection ,...
This paper is an attempt to contribute to the discipline of creating and managing online communities, especially those with a focus on knowledge and research, by answering the question "How to design ...
Positive real increases in the prices of inputs, as the result of an inefficient level of productivity, can no longer be accepted in competitive markets. The survival and more specifically the competi...
Excursions Into a New Duality Relation for Diffusion Processes     Excursions  Diffusion Processes       font style='font-size:12px;'> 2009/5/12
This work was motivated by the recent work by H. Dette, J. Pitman and W.J. Studden on a new duality relation for random walks. In this note we consider the diffusion process limit of their result, and...
This paper concerns the Markov process duality between the one-dimensional heat equation driven by Fisher-Wright white noise and slowly coalescing Brownian particles. A representation is found for the...
This paper concerns the Markov process duality between the one-dimensional heat equation driven by Fisher-Wright white noise and slowly coalescing Brownian particles. A representation is found for the...
A Stochastic View of Optimal Regret through Minimax Duality      Stochastic View  Optimal Regret  Minimax Duality        font style='font-size:12px;'> 2010/3/19
We study the regret of optimal strategies for online convex optimization games. Using von Neumann's minimax theorem, we show that the optimal regret in this adversarial setting is closely related to t...
We derive a unified stochastic picture for the duality of a resampling-selection model with a branching-coalescing particle process (cf. MR2123250) and for the self-duality of Feller's branching diffu...
We derive a unified stochastic picture for the duality of a resampling-selection model with a branching-coalescing particle process (cf. MR2123250) and for the self-duality of Feller's branching diffu...

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