Results 51 to 60 of about 150,661 (326)
On typical Markov operators acting on Borel measures
Abstract and Applied Analysis, 2005 It is proved that, in the sense of Baire category, almost every Markov operator acting on Borel measures is asymptotically stable and the Hausdorff dimension of its invariant measure is equal to zero.
Tomasz Szarek
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Semi-Markov Model of MASS Voyage [PDF]
TransNavThe paper presents the readiness/safety model for the sea voyage of Maritime Autonomous Surface Ship (MASS), based on Semi-Markov process. The states of MASS during the voyage were defined as triplets of intentional type of MASS operations, reliability ...
Teresa Abramowicz-Gerigk +3 more
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Approximating class approach for empirical processes of dependent sequences indexed by functions
, 2014 We study weak convergence of empirical processes of dependent data $(X_i)_{i\geq0}$, indexed by classes of functions. Our results are especially suitable for data arising from dynamical systems and Markov chains, where the central limit theorem for ...
Dehling, Herold +2 more
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Stable Imitation of Multigait and Bipedal Motions for Quadrupedal Robots Over Uneven Terrains
Advanced Robotics Research, EarlyView.How are quadrupedal robots empowered to execute complex navigation tasks, including multigait and bipedal motions? Challenges in stability and real‐world adaptation persist, especially with uneven terrains and disturbances. This article presents an imitation learning framework that enhances adaptability and robustness by incorporating long short‐term ...
Erdong Xiao +3 more
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With Andrzej Lasota There and Back Again
Annales Mathematicae SilesianaeThe paper below is a written version of the 17th Andrzej Lasota Lecture presented on January 12th, 2024 in Katowice. During the lecture we tried to show the impact of Andrzej Lasota’s results on the author’s research concerning various fields of ...
Rudnicki Ryszard
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Quasi-Compactness of Operators for General Markov Chains and Finitely Additive Measures
MathematicsWe study Markov operators T, A, and T* of general Markov chains on an arbitrary measurable space. The operator, T, is defined on the Banach space of all bounded measurable functions.
Alexander Zhdanok
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Online Motion Planning for Safe Human–Robot Cooperation Using B-Splines and Hidden Markov Models
Robotics, 2023 When humans and robots work together, ensuring safe cooperation must be a priority. This research aims to develop a novel real-time planning algorithm that can handle unpredictable human movements by both slowing down task execution and modifying the ...
Giovanni Braglia +3 more
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Journal of Approximation Theory, 1976 AbstractIn this paper we consider iterates of Markov operators of the form Φf(x)=∑j=0mf(jmϕj(x) where the ϑj's are linearly independent, nonnegative and sum to 1. We define the evaluation matrix of Φ to be Φ∗ = [ϑj(im)] and prove that the iterates of the operator converge in the operator norm if and only if the powers of the evaluation matrix converge.
Nielson, G.M +2 more
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Advanced Robotics Research, EarlyView.Robots can learn manipulation tasks from human demonstrations. This work proposes a versatile method to identify the physical interactions that occur in a demonstration, such as sequences of different contacts and interactions with mechanical constraints.
Alex Harm Gert‐Jan Overbeek +3 more
wiley +1 more source
The Spectrum of an Adelic Markov Operator [PDF]
, 2013 With the help of the representation of SL(2,Z) on the rank two free module over the integer adeles, we define the transition operator of a Markov chain.
Knauf, Andreas
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