نتایج جستجو برای: quadratic mapping

تعداد نتایج: 245071  

Journal: :Real-Time Imaging 1997
Ted Camus

Algorithms based on the correlation of image patches can be robust in practice but are computationally intensive due to the computational complexity of their search-based nature. Performing the search over time instead of over space is linear in nature, rather than quadratic, and results in a very eecient algorithm. This, combined with implementations which are highly eecient on standard comput...

2011
John Folkesson

Robot localization using odometry and feature measurements is a nonlinear estimation problem. An efficient solution is found using the extended Kalman filter, EKF. The EKF however suffers from divergence and inconsistency when the nonlinearities are significant. We recently developed a new type of filter based on an auxiliary variable Gaussian distribution which we call the antiparticle filter ...

2013
Malte Nuhn Hermann Ney

In this paper we show that even for the case of 1:1 substitution ciphers—which encipher plaintext symbols by exchanging them with a unique substitute—finding the optimal decipherment with respect to a bigram language model is NP-hard. We show that in this case the decipherment problem is equivalent to the quadratic assignment problem (QAP). To the best of our knowledge, this connection between ...

In this paper we consider a fractional optimization problem that minimizes the ratio of two quadratic functions subject to a strictly convex quadratic constraint. First using the extension of Charnes-Cooper transformation, an equivalent homogenized quadratic reformulation of the problem is given. Then we show that under certain assumptions, it can be solved to global optimality using semidefini...

2015
Miguel Á. Carreira-Perpiñán Max Vladymyrov

Nonlinear embedding algorithms such as stochastic neighbor embedding do dimensionality reduction by optimizing an objective function involving similarities between pairs of input patterns. The result is a low-dimensional projection of each input pattern. A common way to define an out-of-sample mapping is to optimize the objective directly over a parametric mapping of the inputs, such as a neura...

2010
Choonkil Park

and Applied Analysis 3 is called a quadratic functional equation. In particular, every solution of the quadratic functional equation is said to be a quadratic mapping. A generalized Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof 7 for mappings f : X → Y , where X is a normed space and Y is a Banach space. Cholewa 8 noticed that the theorem of Skof is still...

Journal: :Computer-Aided Design 2007
Hongwei Lin Kai Tang Ajay Joneja Hujun Bao

In this paper, we present a BPM (Bézier Patch Mapping) algorithm which generates a strictly non-self-overlapping structured quadrilateral grid in a given four-sided planar region. Given four pieces of polynomial curves which enclose a simple region in the plane, the algorithm first constructs a Bézier patch which interpolates the four curves (as its four boundary curves), while the inner contro...

Journal: :IEEE Control Systems Letters 2022

This paper deals with stability and state feedback control of discrete-time Multi-Mode Multi-Dimensional (M3D) linear systems. The M3D switch dynamics are modeled through a mapping describing the mode transitions. model framework then allows to consider poly-quadratic Lyapunov functions obtain Linear Matrix Inequalities conditions for proof synthesis state-feedback controllers under H∞ p...

Journal: :International Mathematics Research Notices 2021

Abstract Dilation surfaces, or twisted quadratic differentials, are variants of translation surfaces. In this paper, we study the question what elements subgroups mapping class group can be realized as affine automorphisms dilation We show that surfaces have exotic Dehn twists in their automorphism groups and will establish only certain types arise also generalize a construction Thurston constr...

Journal: :Journal of Differential Equations 1997

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