We consider a spiked population model, proposed by Johnstone, whose population eigenvalues are all unit except for a few fixed eigenvalues. The question is to determine how the sample eigenvalues depend on the non-unit population ones when both sample size and population size become large. This paper completely determines the almost sure limits for a general class of samples.

We propose a method for partially discretizing a model of an agedependent population dynamics with an additional structure whose growth rate is age-dependent. We give theoretical conditions under which a second order accuracy arises. A priori estimates are obtained. The main result indicates that the sum of these errors converges and is of second order accuracy.

The increasing interest in Peer-to-Peer systems (such as Gnutella) has inspired many research activities in this area. Although many demonstrations have been performed that show that the performance of a Peer-to-Peer system is highly dependent on the underlying network characteristics, much of the evaluation of Peer-to-Peer proposals has used simplified models that fail to include a detailed mo...

The early life history 7 Abstract The relationship between the biomass of reproductively mature individuals (spawning stock) and the resulting offspring added to the population (recruitment), the stock–recruitment relationship, is a fundamental and challenging problem in all of population biology. The steepness of this relationship is commonly defined as the fraction of recruitment from an unfi...

We investigate the integration of various language model adaptation approaches for a cross-genre adaptation task to improve Mandarin ASR system performance on a recently introduced new genre, broadcast conversation (BC). Various language model adaptation strategies are investigated and their efficacies are evaluated based on ASR performance, including unsupervised language model adaptation from...

We built and trained a model of intonation in continuous Mandarin speech based on the Stem-ML model of interacting accents. With this model, we found that we can accurately reproduce the intonation of the speaker using only one accent template for each lexical tone category. The resulting parameters are interpretable, and we find that the fitted model is consistent with linguistic expectations....

Theoretical models argue that listeners’ perception of second language sounds is heavily influenced by their native language phonology, a prediction borne out by behavioural studies. However, we lack quantitative models capable of making more precise predictions of the way in which the first and second language sound systems interact. The current study introduces a computational modelling frame...

This paper develops a multi-frame image super-resolution approach from a Bayesian view-point by marginalizing over the unknown registration parameters relating the set of input low-resolution views. In Tipping and Bishop’s Bayesian image super-resolution approach [16], the marginalization was over the superresolution image, necessitating the use of an unfavorable image prior. By integrating ove...

We use Stem-ML to build an automatic learning system for Mandarin prosody that allows us to make quantitative measurements of prosodic strengths. Stem-ML is a phenomenological model of the muscle dynamics and planning process that controls the tension of the vocal folds. Because Stem-ML describes the interactions between nearby tones or accents, we were able to use a highly constrained model wi...

A number of previous studies on the English pronunciation of native speakers of Mandarin have discovered many sound features distinct from Standard English, yet none of these analyse how frequently each of these features occurred in learners with different English proficiency levels (Chang, 1991; Chen, 1975; Chung, 2006; Gao, 1995; Lee, 1986). This study focuses on the frequency of such pronunc...