Log-linear models provide a statistically sound framework for Stochastic "Unification-Based" Grammars (SUBGs) and stochastic versions of other kinds of grammars. We describe two… (More)

We prove a number of useful results about probabilistic context-free grammars (PCFGs) and their Gibbs representations. We present a method, called the relative weighted frequency method, to assign… (More)

The assignment of probabilities to the productions of a context-free grammar may generate an improper distribution: the probability of all finite parse trees is less than one. The condition for… (More)

In the zebra finch forebrain nucleus robustus archistriatalis (RA), neurons burst during singing. We showed that the internal structure of spike bursts was regulated with a precision of circa 0.2 ms,… (More)

Given a set of spatial data, often the desire is to estimate its covariance structure. For practical purposes, it is often necessary to propose some parametric model for the variagram. Once the… (More)

The functional organization giving rise to stimulus selectivity in higher-order auditory neurons remains under active study. We explored the selectivity for motifs, spectrotemporally distinct… (More)

Abstract: Multivariate statistics are often available as well as necessary in hypothesis tests. We study how to use such statistics to control not only false discovery rate (FDR) but also positive… (More)

of “Probability Models for Complex Systems,” by Zhiyi Chi, Ph.D., Brown University, May 1998 This thesis is a collection of essays on probability models for complex systems. Chapter 1 is an… (More)

University of Chicago Given two Polish spaces AX and AY, let ρ AX × AY → d be a bounded measurable function. Let X = Xn n ≥ 1 and Y = Yn n ≥ 1 be two independent stationary processes on AX and A ∞ Y… (More)