91 citations · 603 across the 31 of their papers we have counts for
5 papers · 1 filter
Modeling of Persistent Homology
Sarit Agami, Robert J. Adler
Topological Data Analysis (TDA) is a novel statistical technique, particularly powerful for the analysis of large and high dimensional data sets. Much of TDA is based on the tool o…
Critical radius and supremum of random spherical harmonics (II)
Renjie Feng, Xingcheng Xu, Robert J. Adler
We continue the study, begun in \cite{FA}, of the critical radius of embeddings, via deterministic spherical harmonics, of fixed dimensional spheres into higher dimensional ones, a…
Estimating thresholding levels for random fields via Euler characteristics
Robert J. Adler, Kevin Bartz, Sam C. Kou +1
We introduce Lipschitz-Killing curvature (LKC) regression, a new method to produce thresholds for signal detection in random fields that does not require knowledge of the s…
Modeling and replicating statistical topology, and evidence for CMB non-homogeneity
Robert J. Adler, Sarit Agami, Pratyush Pranav
Under the banner of `Big Data', the detection and classification of structure in extremely large, high dimensional, data sets, is, one of the central statistical challenges of our…
Critical radius and supremum of random spherical harmonics
Renjie Feng, Robert J. Adler
We first consider {\it deterministic} immersions of the -dimensional sphere into high dimensional Euclidean spaces, where the immersion is via spherical harmonics of level .…