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Piecewise-Affine State Feedback for Piecewise-Affine Slab Systems Using Convex Optimization
Piecewise-affi ne systems State feedback Convex optimization Ellipsoids Lyapunov function
2015/7/10
This paper shows that Lyapunov-based state feedback controller synthesis for piecewise-affine (PWA) slab systems can be cast as an optimization problem subject to a set of linear matrix inequalities (...
Design of affine controllers via convex optimization
Affi ne controller dynamical system dynamic linear programming
2015/7/9
We consider a discrete-time time-varying linear dynamical system, perturbed by process noise, with linear noise corrupted measurements, over a finite horizon. We address the problem of designing a gen...
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...
A Perspective-Based Convex Relaxation for Switched-Affine Optimal Control
Switched-affi ne systems optimal control mixed-integer convex programming
2015/7/8
We consider the switched-affine optimal control problem, i.e., the problem of selecting a sequence of affine dynamics from a finite set in order to minimize a sum of convex functions of the system sta...
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...
On best affine unbiased covariance-preserving prediction of factor scores
Factor analysis factor scores covariance-preserving Kristof-type theorem
2009/2/23
This paper gives a generalization of results presented by ten Berge, Krijnen, Wansbeek & Shapiro.They examined procedures and results as proposed by Anderson & Rubin, McDonald, Green and Krijnen, Wans...