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From shuffling cards to walking around the building:An Inetroduction to modern markov chain theory
Shuffle CARDS walk around buildings markov chain theory
2015/7/14
From shuffling cards to walking around the building:An Inetroduction to modern markov chain theory。
Consistency of Bayes Estimates for Nonparametric Regression: Normal Theory
Consistency Bayes estimates model selection binary regression
2015/7/14
Performance characteristics of Bayes estimates are studied. More exactly, for each subject in a data
set, let 5 be a vector of binary covariates and let Y be a normal response variable, with
E{YIE...
A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method:Theory and Insights
Differential Equation Modeling Nesterov’s Accelerated Gradient Method
2015/7/8
We derive a second-order ordinary differential equation (ODE), which is the limit of Nesterov’s accelerated gradient method. This ODE exhibits approximate equivalence to Nesterov’s scheme and thus can...
This paper records the path of a letter that Marty Isaacs wrote to a stranger. The tools in the letter are used to illustrate a di erent way of studying random walk on the Heisenberg group. The author...
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...
CARRIES, GROUP THEORY, AND ADDITIVE COMBINATORICS
Data occurred along the equalization algorithm minimize proportion
2015/7/7
When numbers are added in the usual way carries occur along the route. These carries cause a mess and it is natural to seek ways to minimize them. This paper proves that balanced arithmetic minimizes ...
Derived Representation Theory and the Algebraic K-theory of Fields
Algebraic K-theory of Fields Derived Representation Theory
2015/7/7
Quillen’s higher algebraic K-theory for fields F has been the object of intense
study since their introduction in 1972 [26]. The main direction of research has
been the construction of “descen...
Structured Stable Homotopy Theory and the Descent Problem for the Algebraic K-theory of Fields
Structured Stable Homotopy Theory Algebraic K-theory
2015/7/7
his is a relative result which asserts that the K-theory spectra of any two
algebraically closed fields of a given characteristic are equivalent to each other
after completion at a prime not e...
Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory
Type A Combinatorial Theory Dirichlet Series
2015/7/6
Speci cally, two distinct versions of the Gelfand-Tsetlin de nition were given. It
is not apparent that they are equal. Either of these de nitions is purely local in that
it speci es the p-part of t...
New Ties between Computational Harmonic Analysis and Approximation Theory
Computational Harmonic Analysis Approximation Theory
2015/6/17
Is the connection between approximation theory and harmonic analysis genuine? This question may seem a little provocative,especially in light of the recent literature about the significant interaction...
A Probabilistic and RIPless Theory of Compressed Sensing
Compressed sensing `1 minimization the LASSO the Dantzig selector (weak) restricted isometries random matrices sparse regression operator Bernstein inequalities Gross’ golfing scheme
2015/6/17
This paper introduces a simple and very general theory of compressive sensing. In this theory, the sensing mechanism simply selects sensing vectors independently at random from a probability distribut...
A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method:Theory and Insights
Differential Equation Modeling Nesterov’s Accelerated Gradient Method Theory Insights
2015/6/17
We derive a second-order ordinary differential equation (ODE), which is the limit of Nesterov’s accelerated gradient method. This ODE exhibits approximate equivalence to Nesterov’s scheme and thus can...
A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method:Theory and Insights
Nesterov’s accelerated scheme convex optimization first-order methods differential equation restarting
2015/6/17
We derive a second-order ordinary differential equation (ODE) which is the limit of Nesterov’s accelerated gradient method. This ODE exhibits approximate equivalence to Nesterov’s scheme and thus can ...
Topological bifurcation theory : old and new Jean Mawhin Universite Catholique de Louvain
Topological bifurcation theory Jean Mawhin Universite Catholique de Louvain
2015/4/3
Topological bifurcation theory : old and new Jean Mawhin Universite Catholique de Louvain.
Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and Multiplicity of brake orbits in bounded convex symmetric domains
Iteration theory Maslov-type index Lagrangian subspace symplectic paths and Multiplicity brake orbits in bounded convex symmetric domains
2015/4/3
Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and Multiplicity of brake orbits in bounded convex symmetric domains.