Results 61 to 70 of about 992,707 (136)
Moderate deviations via cumulants
The purpose of the present paper is to establish moderate deviation principles for a rather general class of random variables fulfilling certain bounds of the cumulants.
A. Dembo +35 more
core +1 more source
Statistical Characteristics of Basal Forces Generated by Experimental Debris Flows
Abstract Debris flows are fast‐flowing, high‐energy mixtures of sediment and water that are difficult to monitor. Seismic monitoring instruments can be placed safely outside the channel, but it is an indirect method that needs the application of theory‐based inversion to obtain quantitative information on flow properties and rheology.
Yan Yan +5 more
wiley +1 more source
Scaling-up Empirical Risk Minimization: Optimization of Incomplete U-statistics [PDF]
In a wide range of statistical learning problems such as ranking, clustering or metric learning among others, the risk is accurately estimated by $U$-statistics of degree $d\geq 1$, i.e.
Bellet, Aurélien +2 more
core +2 more sources
Packing spanning graphs from separable families
Let $\mathcal G$ be a separable family of graphs. Then for all positive constants $\epsilon$ and $\Delta$ and for every sufficiently large integer $n$, every sequence $G_1,\dotsc,G_t\in\mathcal G$ of graphs of order $n$ and maximum degree at most $\Delta$
Ferber, Asaf +2 more
core +1 more source
Goodness‐of‐fit testing based on graph functionals for homogeneous Erdös–Rényi graphs
Abstract The Erdös–Rényi graph is a popular choice to model network data as it is parsimoniously parameterized, straightforward to interpret and easy to estimate. However, it has limited suitability in practice, since it often fails to capture crucial characteristics of real‐world networks. To check its adequacy, we propose a novel class of goodness‐of‐
Barbara Brune +2 more
wiley +1 more source
Limit theorems for von Mises statistics of a measure preserving transformation
For a measure preserving transformation $T$ of a probability space $(X,\mathcal F,\mu)$ we investigate almost sure and distributional convergence of random variables of the form $$x \to \frac{1}{C_n} \sum_ ...
A Leucht +30 more
core +1 more source
A Correctness Result for Online Robust PCA
This work studies the problem of sequentially recovering a sparse vector $x_t$ and a vector from a low-dimensional subspace $l_t$ from knowledge of their sum $m_t = x_t + l_t$. If the primary goal is to recover the low-dimensional subspace where the $l_t$
Lois, Brian, Vaswani, Namrata
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Estimation of a regular conditional functional by conditional U‐statistic regression
U‐statistics constitute a large class of estimators, generalizing the empirical mean of a random variable X to sums over every k‐tuple of distinct observations of X. They may be used to estimate a regular functional θ(ℙX) of the law of X. When a vector of covariates Z is available, a conditional U‐statistic describes the effect of z on the conditional ...
Alexis Derumigny
wiley +1 more source
ABSTRACT Negative probabilities arise primarily in physics, statistical quantum mechanics, and quantum computing. Negative probabilities arise as mixing distributions of unobserved latent variables in Bayesian modeling. Our goal is to provide a link between these two viewpoints.
Nick Polson, Vadim Sokolov
wiley +1 more source
The notion of a $U$-statistic for an $n$-tuple of identical quantum systems is introduced in analogy to the classical (commutative) case: given a selfadjoint `kernel' $K$ acting on $(\mathbb{C}^{d})^{\otimes r}$ with ...
Butucea, Cristina, Guta, Madalin
core +1 more source

