26 citations · 74 across the 20 of their papers we have counts for
23 papers
Approximation theorems in bilipschitz invariant theory
Jameson Cahill, Joseph W. Iverson, Dustin G. Mixon +1
Bilipschitz invariant theory concerns low-distortion embeddings of orbit spaces into Euclidean space. To date, embeddings with the smallest-possible distortion are known for only a…
Towards a bilipschitz invariant theory
Jameson Cahill, Joseph W. Iverson, Dustin G. Mixon
Consider the quotient of a Hilbert space by a subgroup of its automorphisms. We study whether this orbit space can be embedded into a Hilbert space by a bilipschitz map, and we ide…
Group-invariant max filtering
Jameson Cahill, Joseph W. Iverson, Dustin G. Mixon +1
Given a real inner product space and a group of linear isometries, we construct a family of -invariant real-valued functions on that we call max filters. In the case…
Lie PCA: Density estimation for symmetric manifolds
Jameson Cahill, Dustin G. Mixon, Hans Parshall
We introduce an extension to local principal component analysis for learning symmetric manifolds. In particular, we use a spectral method to approximate the Lie algebra correspondi…
Classifying Signals Under a Finite Abelian Group Action: The Finite Dimensional Setting
Jameson Cahill, Andres Contreras, Andres Contreras Hip
Let be a finite group acting on . We study the problem of identifyng the class in of a given signal: this encompasses several types of problems…
Optimal Parseval frames: Total coherence and total volume
Jameson Cahill, Peter G. Casazza
We introduce three quantities called total coherence, total volume, and nuclear energy, and we show that equiangular Parseval frames maximize all three of these quantities over the…