Search Results for author: Robert A. Murphy

Found 7 papers, 0 papers with code

Image Segmentation, Compression and Reconstruction from Edge Distribution Estimation with Random Field and Random Cluster Theories

no code implementations9 Apr 2021 Robert A. Murphy

Random field and random cluster theory are used to describe certain mathematical results concerning the probability distribution of image pixel intensities characterized as generic $2D$ integer arrays.

General Classification Image Classification +4

Auto-encoding a Knowledge Graph Using a Deep Belief Network: A Random Fields Perspective

no code implementations14 Nov 2019 Robert A. Murphy

We started with a knowledge graph of connected entities and descriptive properties of those entities, from which, a hierarchical representation of the knowledge graph is derived.

Descriptive

A Brownian Motion Model and Extreme Belief Machine for Modeling Sensor Data Measurements

no code implementations1 Apr 2017 Robert A. Murphy

As the title suggests, we will describe (and justify through the presentation of some of the relevant mathematics) prediction methodologies for sensor measurements.

A Critical Connectivity Radius for Segmenting Randomly-Generated, High Dimensional Data Points

no code implementations11 Feb 2016 Robert A. Murphy

Measured from a central structure in localized regions of the partition, the radius indicates strong, long and short range correlation in the count of occupied structures.

Edge Detection Image Segmentation +2

A Predictive Model using the Markov Property

no code implementations8 Jan 2016 Robert A. Murphy

Given a data set of numerical values which are sampled from some unknown probability distribution, we will show how to check if the data set exhibits the Markov property and we will show how to use the Markov property to predict future values from the same distribution, with probability 1.

Estimating the Mean Number of K-Means Clusters to Form

no code implementations7 Mar 2015 Robert A. Murphy

Utilizing the sample size of a dataset, the random cluster model is employed in order to derive an estimate of the mean number of K-Means clusters to form during classification of a dataset.

General Classification

A Neural Network Anomaly Detector Using the Random Cluster Model

no code implementations28 Jan 2015 Robert A. Murphy

The random cluster model is used to define an upper bound on a distance measure as a function of the number of data points to be classified and the expected value of the number of classes to form in a hybrid K-means and regression classification methodology, with the intent of detecting anomalies.

Anomaly Detection General Classification +1

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