Trajectories of rotations
نویسندگان
چکیده
منابع مشابه
Rotations in Curved Trajectories for Unconstrained Minimization
Curved Trajectories Algorithm (CTA) is a package for the minimization of unconstrained functions of several variables with intervals on the variables. The core algorithm is novel in that steps may follow polynomial space curves instead of straight lines. The space curves result from truncations of a Taylor series expansion of the Gradient inverse function. When the series is convergent and the ...
متن کاملConvergence of trajectories in infinite horizon optimization
In this paper, we investigate the convergence of a sequence of minimizing trajectories in infinite horizon optimization problems. The convergence is considered in the sense of ideals and their particular case called the statistical convergence. The optimality is defined as a total cost over the infinite horizon.
متن کاملLearning Rotations Learning rotations with little regret
We describe online algorithms for learning a rotation from pairs of unit vectors in R. We show that the expected regret of our online algorithm compared to the best fixed rotation chosen offline over T iterations is O( √ nT ). We also give a lower bound that proves that this expected regret bound is optimal within a constant factor. This resolves an open problem posed in COLT 2008. Our online a...
متن کاملAN APPLICATION OF TRAJECTORIES AMBIGUITY IN TWO-STATE MARKOV CHAIN
In this paper, the ambiguity of nite state irreducible Markov chain trajectories is reminded and is obtained for two state Markov chain. I give an applicable example of this concept in President election
متن کاملThree-Dimensional Rotations as Products of Simpler Rotations
Three-Dimensional Rotations as Products of Simpler Rotations 1. The most general 3 × 3 rotation matrix In a class handout entitled, Three-Dimensional Proper and Improper Rotation Matrices, I derived the following general form for a 3× 3 matrix representation of a proper rotation by an angle θ in a counterclockwise direction about a fixed rotation axis parallel to the unit vector n̂ = (n1, n2, n3...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1999
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-87-3-209-217