Authors: Massimo Calamai, Antonio Politi, Alessandro Torcini
arXiv
The stability of dynamical states characterized by a uniform firing rate ({\it splay states}) is analyzed in a network of $N$ globally pulse-coupled rotators (neurons) subject to a generic velocity...
Authors: Hanna K. Jankowski, Larissa I. Stanberry
arXiv
Image analysis frequently deals with shape estimation and image reconstruction. The ob jects of interest in these problems may be thought of as random sets, and one is interested in finding a represen...
Authors: Dorin Drignei, Chris E. Forest, Doug Nychka
arXiv
Nonlinear regression is a useful statistical tool, relating observed data and a nonlinear function of unknown parameters. When the parameter-dependent nonlinear function is computationally intensive...
Authors: Hui Zou, Ji Zhu, Trevor Hastie
arXiv
Fisher-consistent loss functions play a fundamental role in the construction of successful binary margin-based classifiers. In this paper we establish the Fisher-consistency condition for multicateg...
Authors: Li Qin, Yuedong Wang
arXiv
Understanding the seizure initiation process and its propagation pattern(s) is a critical task in epilepsy research. Characteristics of the pre-seizure electroencephalograms (EEGs) such as oscillati...
Authors: Mark A. Kramer, Uri T. Eden, Sydney S. Cash, Eric D. Kolaczyk
arXiv
Networks - collections of interacting elements or nodes - abound in the natural and manmade worlds. For many networks, complex spatiotemporal dynamics stem from patterns of physical interactions unk...
Authors: Bruno Cessac, Hélène Paugam-Moisy, Thierry Viéville
arXiv
In this article, our wish is to demystify some aspects of coding with spike-timing, through a simple review of well-understood technical facts regarding spike coding. The goal is to help better unde...
Authors: Huafeng Quan, Yiting Li, Dashuai Liu, Yue Zhou
arXiv
In the globalization trend, China's cultural heritage is in danger of gradually disappearing. The protection and inheritance of these precious cultural resources has become a critical task. This paper...
Authors: Vartan Choulakian, Jacques Allard, Ron Kenett
arXiv
This is a case study, where Taxicab Correspondence Analysis reveals that the underlying structure of an extremely sparse binary textual data set can be represented by a binary tree, where the nodes re...
Authors: Qi Zhang, Bing Li, Lingzhou Xue
arXiv
Motivated by modern data forms such as images and multi-view data, the multi-attribute graphical model aims to explore the conditional independence structure among vectors. Under the Gaussian assumpti...
Authors: Brendon J. Brewer
arXiv
One of the most interesting unsolved questions in science today is the question of life on other planets. At the present time it is safe to say that we do not have much of an idea as to whether life...
Authors: Olivier Marre, Sami El Boustani, Yves Fregnac, Alain Destexhe
arXiv
We designed a model-based analysis to predict the occurrence of population patterns in distributed spiking activity. Using a maximum entropy principle with a Markovian assumption, we obtain a model...
Authors: William K. Coulter, Christopher J. Hillar, Friedrich T. Sommer
arXiv
Sparse coding networks, which utilize unsupervised learning to maximize coding efficiency, have successfully reproduced response properties found in primary visual cortex \cite{AN:OlshausenField96}. H...
Authors: Andrew O. Finley, Sudipto Banerjee, Ronald E. McRoberts
arXiv
Spatially explicit data layers of tree species assemblages, referred to as forest types or forest type groups, are a key component in large-scale assessments of forest sustainability, biodiversity,...
Authors: Ian L. Dryden, Alexey Koloydenko, Diwei Zhou
arXiv
The statistical analysis of covariance matrix data is considered and, in particular, methodology is discussed which takes into account the non-Euclidean nature of the space of positive semi-definite...