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Bounding Duality Gap for Problems with Separable Objective
Bounding Duality Gap Problems Separable Objective
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
2014/12/29
PERVERSE SHEAVES ON LOOP GRASSMANNIANS AND LANGLANDS DUALITY.
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
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 ,...
Excursions Into a New Duality Relation for Diffusion Processes
Excursions Diffusion Processes
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...
On the Duality between Coalescing Brownian Particles and the Heat Equation Driven by Fisher-Wright Noise
Coalesce duality entrance law Fisher-Wright noise particle system
2009/4/24
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...
On the Duality between Coalescing Brownian Particles and the Heat Equation Driven by Fisher-Wright Noise
Duality Brownian Particles Heat Equation Fisher-Wright Noise
2009/4/7
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
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...
GRAPHICAL REPRESENTATION OF SOME DUALITY RELATIONS IN STOCHASTIC POPULATION MODELS
duality relations STOCHASTIC POPULATION MODELS particle process
2009/3/27
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...
GRAPHICAL REPRESENTATION OF SOME DUALITY RELATIONS IN STOCHASTIC POPULATION MODELS
DUALITY RELATIONS STOCHASTIC POPULATION MODELS REPRESENTATION
2009/3/23
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...