搜索结果: 31-45 共查到“知识库 数学分析”相关记录525条 . 查询时间(4.915 秒)
We give a non-deterministic algorithm that expresses elements of SLN(Z), for N>2, as words in a finite set of generators, with the length of these words at most a constant times the word metric. We sh...
Small time heat kernel behavior on Riemannian complexes
Riemannian complexes kernel behavior
2015/8/26
We study how bounds on the local geometry of a Riemannian
polyhedral complex yield uniform local Poincar′e inequalities. These
inequalities have a variety of applications, including bounds on the he...
We study the rate of convergence of symmetric random walks on finite
groups to the uniform distribution. A notion of moderate growth is introduced
that combines with eigenvalue techniques to give sh...
The cutoff phenomenon for ergodic Markov processes
Cutoff phenomenon ergodic Markov semigroups
2015/8/26
We consider the cutoff phenomenon in the context of families of ergodic Markov transition
functions. This includes classical examples such as families of ergodic finite Markov chains
and Brownian mo...
Let M be a cg-connected manifold. Let L be a second-order
differential operator with real cg(R) coefficients on M and such that L1 0 (i.e., L
has no zero-order term). Assume that there exists a posi...
Periodic Orbits of Hybrid Systems and Parameter Estimation via AD
Hybrid Systems Parameter Estimation via AD
2015/8/25
Rhythmic, periodic processes are ubiquitous in biological systems; for example,
the heart beat, walking, circadian rhythms and the menstrual cycle. Modeling
these processes with high delity as peri...
This paper describes a previously undocumented phenomenon in dynamical
systems theory; namely, the occurrence of heteroclinic cycles that are structurally
stable within the space of Cr vector fields...
Ridgelets: a key to higher-dimensional intermittency?
higher-dimensional intermittency wavelets
2015/8/21
We discuss in this paper a new subject, ridgelet analysis, which can e®ectively
deal with linelike phenomena in dimension 2, planelike phenomena in dimension
3 and so on. It encompasses a colle...
An Information-Theoretic Approach to Traffic Matrix Estimation
Traffi c Matrix Estimation Information Theory
2015/8/21
Traffic matrices are required inputs for many IP network management tasks: for instance, capacity planning, traffic engineering and
network reliability analysis. However, it is diffi...
Curvelets { A Surprisingly E®ective Nonadaptive Representation For Objects with Edges
Nonadaptive Representation Edges
2015/8/21
. It is widely believed that to e±ciently represent an otherwise
smooth object with discontinuities along edges, one must use an adaptive
representation that in some sense `tracks' the shape of the ...
Fast X-Ray and Beamlet Transforms for Three-Dimensional Data
Three-Dimensional Data 3-D Volumetric (Raster-Scan) Dat
2015/8/21
Three-dimensional volumetric data are becoming increasingly available
in a wide range of scientific and technical disciplines. With the right tools,
we can expect such data to yield valuable i...
Optimally Sparse Representation in General (non-Orthogonal) Dictionaries via
Sparse Representation Overcomplete Representation
2015/8/21
Given a ‘dictionary’ D = {dk} of vectors dk, we seek to represent a signal S as a
linear combination S =
k γ(k)dk, with scalar coefficients γ(k). In particular, we aim for
the sparsest repre...
Factor analysis is over a century old, but it is still problematic to choose
the number of factors for a given data set. The scree test is popular but subjective. The best performing objective method...
Discussion of: \Sequential Quasi-Monte-Carlo Sampling" by Mathieu Gerber and Nicolas Chopin
Mathieu Gerber Nicolas Chopin
2015/8/21
We congratulate Gerber and Chopin for a very interesting paper with much
promise for applications. SQMC is similar to array-RQMC (L'Ecuyer et al.,
2008), in using T sets of N points in [0;1]d
inste...
Other space- lling
curves, such as those due to Sierpinski and Peano, also attain these
rates, while upper bounds for the Lebesgue curve are somewhat worse,
as if the dimension were log2
(3) times...