Significance of the Weibull Distribution and its Sub-models in Natural Image Statistics
نویسندگان
چکیده
The contrast statistics of natural images can be adequately characterized by a two-parameter Weibull distribution. Here we show how distinct regimes of this Weibull distribution lead to various classes of visual content. These regimes can be determined using model selection techniques from information theory. We experimentally explore the occurrence of the content classes, as related to the global statistics, local statistics, and to human attended regions. As such, we explicitly link local image statistics and visual content.
منابع مشابه
A New Lifetime Distribution: The Beta Modified Weibull Power Series Distribution
In this paper, we propose a new parametric distribution which called as the Beta Modified Weibull Power Series (BMWPS) distribution. This distribution is obtained by compounding Beta Modified Weibull (BMW) and power series distributions. BMWPS distribution contains, as special sub-models, such as Beta Modified Weibull Poisson (BMWP) distribution, Beta Modified Weibull Geometric (BMWG) distribut...
متن کاملStatistics of Deep Generated Images
Here, we explore the low-level statistics of images generated by state-of-the-art deep generative models. First, Variational auto-encoder (VAE [19]), Wasserstein generative adversarial network (WGAN [2]) and deep convolutional generative adversarial network (DCGAN [23]) are trained on the ImageNet dataset and a large set of cartoon frames from animations. Then, for images generated by these mod...
متن کاملA Biologically Plausible Model for Rapid Natural Image Identi cation
Contrast statistics of the majority of natural images conform to a Weibull distribution. This property of natural images may facilitate efficient and very rapid extraction of a scene's visual gist. Here we investigated whether a neural response model based on the Weibull contrast distribution captures visual information that humans use to rapidly identify natural scenes. In a learning phase, we...
متن کاملEvaluation of estimation methods for parameters of the probability functions in tree diameter distribution modeling
One of the most commonly used statistical models for characterizing the variations of tree diameter at breast height is Weibull distribution. The usual approach for estimating parameters of a statistical model is the maximum likelihood estimation (likelihood method). Usually, this works based on iterative algorithms such as Newton-Raphson. However, the efficiency of the likelihood method is not...
متن کاملThe Beta-Weibull Logaritmic Distribution: Some Properties and Applications
In this paper, we introduce a new five-parameter distribution with increasing, decreasing, bathtub-shaped failure rate called the Beta-Weibull-Logarithmic (BWL) distribution. Using the Sterling Polynomials, various properties of the new distribution such as its probability density function, its reliability and failure rate functions, quantiles and moments, R$acute{e}$nyi and Shannon entropie...
متن کامل