JÓZEF POKLEWSKI-KOZIEŁŁ (21 April 1937–21 May 2019)

Cover Vol 16, No. 2, April 2019

Critical Review , 21 April

This is a critical review of the paper “An Airway Tree-shape Model for Geodesic Airway Branch Labeling” written by Feragen et. al. [1]. This paper presents a method for airway branch labeling by computing geodesic deformations between mathematical airway tree-shape models. The authors claim that the labeling results are good taking the large variation in the training set into account. Even thou...

Lecture 21 – April 25 , 2016

In this lecture we’ll explore Random Matrix Theory by exploring an application in network analysis. In particular, we’ll examine how Random Matrix Theory can be employed to develop an efficient randomized algorithm for finding planted cliques. In doing so, we will explore a general method for analyzing random graph problems with “planted” structure by treating them as a signal reconstruction pr...

Lecture 7 — April 21 7.1 Spectral Clustering

is the degree matrix and elucidate some of its key properties that make it suitable for clustering. Suppose we form a weighted graph G with our data-points being the vertices and the edge weights being specified by the weight matrix W . Let us first consider the special case when the graph G has exactly k components with vertex sets A1, · · · , Ak. Then the Laplacian Lrw has the following prope...

Persian-translation IJFS-vol 16-no 2-April 2019