11 citations · 80 across the 24 of their papers we have counts for
5 papers · 1 filter
Nonsmooth Analysis and Subgradient Methods for Averaging in Dynamic Time Warping Spaces
David Schultz, Brijnesh Jain
Time series averaging in dynamic time warping (DTW) spaces has been successfully applied to improve pattern recognition systems. This article proposes and analyzes subgradient meth…
On the Existence of a Sample Mean in Dynamic Time Warping Spaces
Brijnesh J. Jain, David Schultz
The concept of sample mean in dynamic time warping (DTW) spaces has been successfully applied to improve pattern recognition systems and generalize centroid-based clustering algori…
Properties of the Sample Mean in Graph Spaces and the Majorize-Minimize-Mean Algorithm
Brijnesh J. Jain
One of the most fundamental concepts in statistics is the concept of sample mean. Properties of the sample mean that are well-defined in Euclidean spaces become unwieldy or even un…
Geometry of Graph Edit Distance Spaces
Brijnesh J. Jain
In this paper we study the geometry of graph spaces endowed with a special class of graph edit distances. The focus is on geometrical results useful for statistical pattern recogni…
Accelerating Competitive Learning Graph Quantization
Brijnesh J. Jain, Klaus Obermayer
Vector quantization(VQ) is a lossy data compression technique from signal processing for which simple competitive learning is one standard method to quantize patterns from the inpu…