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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Combinatorial statistics: a common theme and a few examples
组合统计 霰弹枪组装 随机图匹配
2023/4/10
In this talk, I will overview the general flavor for the topic of “combinatorial statistics”, and I will describe some recent progress on shotgun assembling problems as well as random graph matching p...
SYMBOLIC EXTENSION ENTROPY:Cr EXAMPLES,PRODUCTS AND FLOWS
SYMBOLIC EXTENSION ENTROPY Cr EXAMPLES PRODUCTS FLOWS
2015/9/29
Adapting techniques of Misiurewicz, for 1 ≤ r < ∞ we give an explicit construction of Cr maps with positiveresidual entropy. We also establish the behavior of symbolic extension entropy with respect t...
An affine manifold is a manifold with a distinguished
system of affine coordinates, namely, an open covering by
charts which map homeomorphically onto open sets in an
affine space E such that on ov...
Examples of the Atlas of Lie Groups and Representations
the Atlas Lie Groups Representations
2015/9/28
The Atlas of Lie Groups and Representations is a project in representation theory of real reductive groups. Themain goal of the atlas computer software, currently under development, is to compute the ...
NEW EXAMPLES OF S-UNIMODAL MAPS WITH A SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
S-UNIMODAL MAPS SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
2015/9/25
We combine the technique of inducing with a method of Johnson boxes and construct new examples of S-unimodal maps ϕ which do not have a finite absolutely continuous invariant measure, but do have...
NEW EXAMPLES OF TOPOLOGICALLY EQUIVALENT S-UNIMODAL MAPS WITH DIFFERENT METRIC PROPERTIES
TOPOLOGICALLY EQUIVALENT S-UNIMODAL MAPS DIFFERENT METRIC PROPERTIES
2015/9/25
We construct examples of topologically conjugate unimodal maps, such that both of them have an absolutely continuous invariant measure, but for one of them that measure is finite, and for another one ...
The LASSO risk: asymptotic results and real world examples
Coefficient vector linear observation construct sparse the lasso matrix sequence
2015/8/21
We consider the problem of learning a coefficient vector x0 ∈ RN from noisy linear observation y = Ax0 + w ∈ Rn. In many contexts (ranging from model
selection to image processing) it is desirable to...
In Dhar’s model of abelian distributed processors, finite automata occupy the vertices of a graph and communicate via the edges. A local commutativity condition ensures that the final output does not ...
Eigen Analysis for Some Examples of the Metropolis Algorithm
Analysis the metropolis algorithm example
2015/7/14
Eigen Analysis for Some Examples of the Metropolis Algorithm.
THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS
Monte carlo markov chain the interface between computing computer science statistical mechanics
2015/7/14
THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS。
Examples comparing Importance Sampling and the Metropolis algorithm
Sampling order markov chain monte carlo simulation technology the markov chain
2015/7/8
Importance sampling, particularly sequential and adaptive importance sampling, have emerged as competitive simulation techniques to Markov–chain Monte–Carlo techniques. We compare importance sampling ...
Hopf algebras and Markov chains: Two examples and a theory
By-products hopf algebra markov chain complex lie algebra combination
2015/7/7
The operation of squaring (coproduct followed by product) in a combinatorial Hopf algebra is shown to induce a Markov chain in natural bases. Chains constructed in this way include widely studied meth...
Some Examples to Show that Objects be Presented by Mathematical Equations
Graph, Equation Visible and Invisible Object
2012/9/30
We have often heard remarks such as “We can plot graphs from the mathematical equations”, including equations of lines, equations of curves, and equations of invisible and visible objects. Actually, w...
Examples of abelian surfaces with non-square Tate-Shafarevich group
Examples of abelian surfaces non-square Tate-Shafarevich group Number Theory
2012/6/8
In this article we show the existence of abelian surfaces over Q with Tate-Shafarevich groups having orders five times a square and seven times a square. To obtain this result, we explore the invarian...
Jet bundles on projective space: New examples
Atiyah sequence jet bundle characteristic class generalized Atiyah class
2012/6/6
In previous papers it was shown that the left and right O-module structure of the jet bundles on the projective line differed. In this paper we show that similar statements hold for jet bundles on pro...