This document gives a high-level summary of the necessary details for implementing collapsed Gibbs sampling for fitting Gaussian mixture models (GMMs) following a Bayesian approach. The document structure is as follows. After notation and reference sections (Sections 2 and 3), the case for sampling the parameters of a finite Gaussian mixture model is described in Section 4. This is then extende...

Motion planning has generally focused on computing a collision-free trajectory to a goal region. Enhancing the ability of robots in manipulation, automation, medicine, and other areas, however, often requires richer task specifications. Toward this goal, we study the problem of computing a collision-free trajectory that satisfies task specifications given by Finite Automata, STRIPS, Linear Temp...

Traditional ADCs (Analog-to-Digital Converters) acquire samples at regular intervals TS at a sample rate fS=1/TS and needs to adhere to the Nyquist sampling theorem, i.e., fS>2 × fB, where fB is the signal’s bandwidth [1]. Due to the periodic nature of traditional ADCs, they are sometimes referred to as synchronous ADCs [2,3]. Synchronous ADCs are characterized by a periodicity in time and equi...

Acceptance sampling procedures are the practical tools for quality assurance applications involving product control. Acceptance sampling systems are advocated when small sample size are necessary or desirable towards costlier testing for product quality. Dodge – Romig plans can be single or double plans. There are two sets of plans. One is based on satisfying a given limiting quality level (LQL...

Every two years in the US, 435 congressional elections take place that scholars study using data from the National Election Studies (NES) survey of the American electorate. With a focus on sampling, this article explores two issues: (1) How best to design a national election study if the aim is to understand voting behavior within and across subnational contexts; and (2) How, by comparison, the...

Traditional ADCs (Analog-to-Digital Converters) acquire samples at regular intervals TS at a sample rate fS=1/TS and needs to adhere to the Nyquist sampling theorem, i.e., fS>2 × fB, where fB is the signal’s bandwidth [1]. Due to the periodic nature of traditional ADCs, they are sometimes referred to as synchronous ADCs [2,3]. Synchronous ADCs are characterized by a periodicity in time and equi...

Note-level music transcription, which aims to transcribe note events (often represented by pitch, onset and offset times) from music audio, is an important intermediate step towards complete music transcription. In this paper, we present a note-level music transcription system, which is built on a state-of-the-art frame-level multi-pitch estimation (MPE) system. Preliminary note-level transcrip...

Discrete-event systems have gained a lot of interest due to their wide range of applications, and discrete-event simulation is a useful method for the performance evaluation of such systems. In this domain, model-based evaluation methods play an important role and there are many formalisms and realistic experiments using these methods. In this paper, we introduce SimGine, a multi-formalism simu...

We analyze a two stage sequential probit model that can be used to analyze survey in which questions are asked sequentially and unobservable variables of each stage can be correlated. We apply the model to innovation surveys. In the first stage, the survey asks if firms have developed a product or a process innovation. In the second stage, the survey inquires about the degree of novelty o the i...