Anthropic Correction of Information Estimates and Its Application to Neural Coding [0.03%]
信息估计的人为校正及其在神经编码中的应用
Michael C Gastpar,Patrick R Gill,Alexander G Huth et al.
Michael C Gastpar et al.
Information theory has been used as an organizing principle in neuroscience for several decades. Estimates of the mutual information (MI) between signals acquired in neurophysiological experiments are believed to yield insights into the str...
Kumar Sricharan,Dennis Wei,Alfred O Hero rd
Kumar Sricharan
The problem of estimation of density functionals like entropy and mutual information has received much attention in the statistics and information theory communities. A large class of estimators of functionals of the probability density suf...
Calibrated Precision Matrix Estimation for High-Dimensional Elliptical Distributions [0.03%]
高维椭圆分布的精密矩阵校准估计方法
Tuo Zhao,Han Liu
Tuo Zhao
We propose a semiparametric method for estimating a precision matrix of high-dimensional elliptical distributions. Unlike most existing methods, our method naturally handles heavy tailness and conducts parameter estimation under a calibrati...
Mladen Kolar,Han Liu
Mladen Kolar
We consider the high-dimensional discriminant analysis problem. For this problem, different methods have been proposed and justified by establishing exact convergence rates for the classification risk, as well as the ℓ2 convergence results...
Aurel A Lazar
Aurel A Lazar
The recovery of (weak) stimuli encoded with a population of Hodgkin-Huxley neurons is investigated. In the absence of a stimulus, the Hodgkin-Huxley neurons are assumed to be tonically spiking. The methodology employed calls for 1) finding ...
Shu Yang,Eric D Kolaczyk
Shu Yang
A method of 'network filtering' has been proposed recently to detect the effects of certain external perturbations on the interacting members in a network. However, with large networks, the goal of detection seems a priori difficult to achi...
Jianqing Fan,Jinchi Lv
Jianqing Fan
Penalized likelihood methods are fundamental to ultra-high dimensional variable selection. How high dimensionality such methods can handle remains largely unknown. In this paper, we show that in the context of generalized linear models, suc...
The Generalized Asymptotic Equipartition Property: Necessary and Sufficient Conditions [0.03%]
广义渐近等分性质：充分必要条件
Matthew T Harrison
Matthew T Harrison
Suppose a string X1n=(X1,X2,…,Xn) generated by a memoryless source (X(n))(n≥1) with distribution P is to be compressed with distortion no greater than D ≥ 0, using a memoryless random codebook with distribution Q. The compression perform...
Compressed Genotyping [0.03%]
压缩基因分型
Yaniv Erlich,Assaf Gordon,Michael Brand et al.
Yaniv Erlich et al.
Over the past three decades we have steadily increased our knowledge on the genetic basis of many severe disorders. Nevertheless, there are still great challenges in applying this knowledge routinely in the clinic, mainly due to the relativ...
Mehdi Aghagolzadeh,Seif Eldawlatly,Karim Oweiss
Mehdi Aghagolzadeh
An essential step towards understanding how the brain orchestrates information processing at the cellular and population levels is to simultaneously observe the spiking activity of cortical neurons that mediate perception, learning, and mot...