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Laplacian pyramid based Laurent polynomial (LP2) matrices are generated by Laurent polynomial column vectors and have long been studied in connection with Laplacian pyramidal algorithms in Signal Proc...
SCALING LIMITS OF RECURRENT EXCITED RANDOM WALKS ON INTEGERS
Limit random walk RECURRENT EXCITED
2015/9/29
We describe scaling limits of recurrent excited random walks (ERWs) on
Z in i.i.d. cookie environments with a bounded number of cookies per site. We allow
both positive and negative excitations.
Finite size scaling for the core of large random hypergraphs
Core random hyper-graph random graph low-density parity-check codes XOR-SAT fi nite size scaling
2015/8/21
The (two) core of an hyper-graph is the maximal collection of hyper-edges within which no vertex appears only once. It is of importance in tasks such as efficiently solving a large linear system over ...
FINITE-LENGTH SCALING FOR ITERATIVELY DECODED LDPC ENSEMBLES
low-density parity-check codes iterative decoding density evolution binary erasure channel finite-length analysis error probability curve
2015/8/21
In this paper we investigate the behavior of iteratively decoded low-density paritycheck codes over the binary erasure channel in the so-called “waterfall region.” We show that the performance curves ...
Scaling Limits for Internal Aggregation Models with Multiple Sources
Scaling Limits Internal Aggregation Models Multiple Sources
2015/8/14
We study the scaling limits of three different aggregation models on Zd: internal DLA, in which particles perform random walks until reaching an unoccupied site; the rotor-router model, in which parti...
Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost
electron repulsion integral tensor tensor hypercontraction format cubic scaling cost
2015/7/14
Electron repulsion integral tensor has ubiquitous applications in quantum chemistry calculations. In this work, we propose an algorithm which compresses the electron repulsion tensor into the tensor h...
HORSESHOES IN MULTIDIMENSIONAL SCALING AND KERNEL METHODS
Horseshoe multidimensional scaling the kernel method
2015/7/8
HORSESHOES IN MULTIDIMENSIONAL SCALING AND KERNEL METHODS。
Scaling Multidimensional Inference for Structured Gaussian Processes
Gaussian Processes Backfitting Projection Pursuit-Reression Kronecker matrices
2012/11/22
Exact Gaussian Process (GP) regression has O(N^3) runtime for data size N, making it intractable for large N. Many algorithms for improving GP scaling approximate the covariance with lower rank matric...
Minimal Model Program with scaling and adjunction theory
Quasi polarized pairs Adjunction Theory Minimal Model Program with scaling
2011/9/20
Abstract: Let (X,L) be a quasi polarized pairs, i.e. X is a normal complex projective variety and L is a nef and big line bundle on it. We study, up to birational equivalence, the positivity (nefness)...
Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit
continuous system binary jumps non-equilibrium dynamics correlation functions scaling limit Vlasov scaling Poisson measure
2011/9/15
Abstract: Let $\Gamma$ denote the space of all locally finite subsets (configurations) in $\mathbb R^d$. A stochastic dynamics of binary jumps in continuum is a Markov process on $\Gamma$ in which pai...
The scaling limit of the critical one-dimensional random Schrodinger operator
critical one-dimensional random Schrodinger operator Probability
2011/9/9
Abstract: We consider two models of one-dimensional discrete random Schrodinger operators (H_n \psi)_l ={\psi}_{l-1}+{\psi}_{l +1}+v_l {\psi}_l, {\psi}_0={\psi}_{n+1}=0 in the cases v_k=\sigma {\omega...
Boundary Characteristic Point Regularity for Navier-Stokes Equations: Blow-up Scaling and Petrovskii-type Criterion (a Formal Approach)
Navier–Stokes equations in R3 backward paraboloid characteristic vertex boundary regularity blow-up scaling boundary layer
2011/9/6
Abstract: It is shown that Wiener's regularity of the vertex of a backward paraboloid for 3D Navier-Stokes equations with zero Dirichlet conditions on the paraboloid boundary is given by Petrovskii's ...
Schroder's problems and scaling limits of random trees
Schroder's problems Probability scaling limits of random trees
2011/8/31
Abstract: In a classic paper Schr\"oder posed four combinatorial problems about the number of certain types of bracketings of words and sets. Here we address what these bracketings look like on averag...
Scaling properties of first-passage time probabilities in financial markets
financial markets first-passage time probability Statistical Finance
2011/9/29
Abstract: Financial markets provide an ideal frame for the study of first-passage time events of non-Gaussian correlated dynamics mainly because large data sets are available. Tick-by-tick data of six...
From a kinetic equation to a diffusion under an anomalous scaling
Anomalous thermal conductivity kinetic limit invariance principle
2011/8/23
Abstract: A linear Boltzmann equation is interpreted as the forward equation for the probability density of a Markov process (K(t), i(t), Y(t)), where (K(t), i(t)) is an autonomous reversible jump pro...