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Quadratic Approximate Dynamic Programming for Input-Affine Systems
approximate dynamic programming stochastic control convex optimization
2015/7/9
We consider the use of quadratic approximate value functions for stochastic control problems with input-affine dynamics and convex stage cost and constraints. Evaluating the approximate dynamic progra...
On quiver varieties and affine Grassmanians of type A
Quiver varieties affine nilpotent orbit duality
2014/12/29
We construct Nakajima's quiver varieties of type A in terms of affine Grassmannians of type A. This gives a compactification of quiver varieties and a decomposition of affine Grassmannians into a disj...
Equivariant homology and K-theory of affine Grassmannians and Toda lattices
Theory of algebra $K $K commutative ring structure
2014/12/25
For an almost simple complex algebraic group G with affine Grassmannian $\text{Gr}_G=G(\mathbb{C}(({\rm t})))/G(\mathbb{C}[[{\rm t}]])$, we consider the equivariant homology $H^{G(\mathbb{C}[[{\rm t}]...
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.
Let be an affine Weyl group, and let be a left, right, or two-sided Kazhdan-Lusztig cell in . Let be the set of all reduced expressions of elements of , regarded as a formal language in the sense of t...
Affine Invariant Divergences associated with Composite Scores and its Applications
composite score divergence Bregman score H¨older score affine invariance
2013/6/14
In statistical analysis, measuring a score of predictive performance is an important task. In many scientific fields, appropriate scores were tailored to tackle the problems at hand. A proper score is...
Statistical inference for discrete-time samples from affine stochastic delay differential equations
asymptotic normality composite likelihood consistency discrete time observation of continuous-time models prediction-based estimating functions pseudo-likelihood stochastic delay differential equation
2013/4/28
Statistical inference for discrete time observations of an affine stochastic delay differential equation is considered. The main focus is on maximum pseudo-likelihood estimators, which are easy to cal...
Density Estimation and Classification via Bayesian Nonparametric Learning of Affine Subspaces
Dimension reduction Classi er Variable selection Nonparametric Bayes
2011/6/20
It is now practically the norm for data to be very high dimensional in areas such as genetics, machine
vision, image analysis and many others. When analyzing such data, parametric models are often to...
Affine- and scale-equivariant M-estimators in linear model
Affine- and scale-equivariant M-estimators linear model
2009/9/22
M-estimators of regression parameter vector in linear
model, studentized by a suitable afine-invariant and scale-equivariant
scale statistic, become a n e - and scale-equivariant. We study some
asy...
ON A NEW AFFINE INVARIANT AND CONSISTENT TEST FOR MULTIVARIATE NORMALITY
Test for multivariate normality empirical characteristic function goodness-of-fit-test
2009/9/18
We propose a new test for multivariate normality
based on the empirical characteristic function. We show that the test is
afine invariant and consistent against every non-normal alternative.
The te...