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Probability on Groups: Random Walks and Invariant Diffusions
Invariant Diffusions Random Walks
2015/8/26
What do card shuffling, volume
growth, and Harnack inequalities
have to do with each other? They all
arise in the study of random walks
on groups. Probability on groups is
concerned with probabil...
On the deletion channel with small deletion probability
Delete channel point-to-point communication small expansion remove probability
2015/8/21
The deletion channel is the simplest point-to-point communication channel that models lack of synchronization. Despite significant effort, little is known about its capacity, and even less about...
Updating Subjective Probability.
Despite a true antipathy to the subject Hardy contributed deeply to modern probability. His work with Ramanujan begat probabilistic number theory. His work on Tauberian theorems and divergent series h...
Probability Distribution of the Quality Factor of a Mode-Stirred Reverberation Chamber
Probability Distribution Quality Factor a Mode-Stirred Reverberation Chamber
2012/11/23
We derive a probability distribution, confidence intervals and statistics of the quality (Q) factor of an arbitrarily shaped mode-stirred reverberation chamber, based on ensemble distributions of the ...
Model-free multiclass conditional probability estimation via quantile regression
interva lestimate multiclass classication probability estimation quantile regression tuning
2012/11/23
Conventional multiclass conditional probability estimation often requires distributional model assumptions such as Fisher's discriminate analysis and logistic regression. In this paper,a model-free es...
Topology of probability measure spaces, II
Topology of probability measure spaces General Topology
2012/6/29
This paper is a follow-up to the author's work "Topology of probability measure space, I" devoted to investigation of the functors $\hat P$ and $P_\tau$ of spaces of probability $\tau$-smooth and Rado...
Efficient and optimal binary Hopfield associative memory storage using minimum probability flow
Efficient and optimal binary associative memory storage minimum probability flow Adaptation and Self-Organizing Systems
2012/4/26
We present an algorithm to store binary memories in a Hopfield neural network using minimum probability flow, a recent technique to fit parameters in energy-based probabilistic models. In the case of ...
On uniform metrizability of the functor of idempotent probability measures
uniformly metrizability of functors idempotent probability measures General Topology
2012/4/17
In the present paper we show that the functor of idempotent probability measures satisfies all of conditions with an additional claim of uniform metrizability of functors.
Consensus and Products of Random Stochastic Matrices: Exact Rate for Convergence in Probability
Consensus consensus+innovations performance analysis random network convergence in probability exponential rate
2012/3/1
Distributed consensus and other linear systems with system stochastic matrices $W_k$ emerge in various settings, like opinion formation in social networks, rendezvous of robots, and distributed infere...
Estimations of Lower Bounds of A Probability Minimization Problem
Probability optimization problem Lower bound estimation Binary random variable Random normal vector.
2011/11/13
This article considers the problem of \min_{\xi}\vec{Pr}(\vert \xi^Tx\vert\leq \alpha)\quad s.t.\quad \Vert\xi\Vert_2=1. We first concentrate on the case that x_i,i=1,\cdots,n are binary random variab...
The probability of rectangular unimodular matrices over $\F_q[x]$
Natural density unimodular matrices Riemann’s zeta function q-zeta function finite field polynomial ring
2011/9/13
Abstract: In this note, we compute the probability that a $k\times n$ matrix can be extended to an $n\times n$ invertible matrix over $\F_q[x]$, which turns out to be $(1-q^{k-n})(1-q^{k-1-n})...(1-q^...
Martingale Couplings and Bounds on the Tails of Probability Distributions
Martingale Couplings and Bounds Probability Distributions Statistics Theory
2011/8/30
Abstract: Hoeffding has shown that tail bounds on the distribution for sampling from a finite population with replacement also apply to the corresponding cases of sampling without replacement. (A spec...
Convex hyperspaces of probability measures and extensors in the asymptotic category
Compact convex set probability measure asymptotically zero-dimensional space absolute extensor
2011/8/26
Abstract: The objects of the Dranishnikov asymptotic category are proper metric spaces and the morphisms are asymptotically Lipschitz maps. In this paper we provide an example of an asymptotically zer...
Extensions of Dirac chord method with quasi-probability distributions
Extensions of Dirac chord method quasi-probability distributions
2011/2/24
The Dirac chord method may be suitable in different areas of physics for the repre-sentation of certain six-dimensional integrals for a convex body using the probability density of the chord length di...