Armin Schwartzman

Works (9)

Updated: August 6th, 2023 21:16

2016 journal article

Characterizing brain tissue by assessment of the distribution of anisotropic microstructural environments in diffusion-compartment imaging (DIAMOND)

Magnetic Resonance in Medicine, 76(3), 963–977.

By: B. Scherrer, A. Schwartzman, M. Taquet, M. Sahin, S. Prabhu & S. Warfield

Source: NC State University Libraries
Added: August 6, 2018

2016 journal article

Nonparametric bootstrap of sample means of positive-definite matrices with an application to diffusion-tensor-imaging data analysis

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 46(6), 4851–4879.

By: L. Ellingson *, D. Groisser *, D. Osborne *, V. Patrangenaru * & A. Schwartzman n

author keywords: Center of mass; Diffusion tensor imaging; Extrinsic mean; Fast algorithms; Frechet mean; Intrinsic mean; Nonparametric bootstrap
TL;DR: This paper presents nonparametric two-sample bootstrap tests for means of random symmetric positive-definite (SPD) matrices according to two different metrics: the Frobenius (or Euclidean) metric, inherited from the embedding of the set of SPD metrics in the Euclidesan set of symmetric matrices, and the canonical metric, which is defined without an embedding and suggests an intrinsic analysis. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2015 journal article

Lognormal Distributions and Geometric Averages of Symmetric Positive Definite Matrices

INTERNATIONAL STATISTICAL REVIEW, 84(3), 456–486.

By: A. Schwartzman n

author keywords: Random matrices; symmetric matrices; Riemannian manifolds; intrinsic means; manifold-valued data
TL;DR: This article gives a formal definition of a lognormal family of probability distributions on the set of symmetric positive definite (SPD) matrices, seen as a matrix-variate extension of the univariate logn formalism family of distributions. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2015 journal article

SCALING-ROTATION DISTANCE AND INTERPOLATION OF SYMMETRIC POSITIVE-DEFINITE MATRICES

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 36(3), 1180–1201.

By: S. Jung *, A. Schwartzman n & D. Groisser *

author keywords: symmetric positive-definite matrices; eigen-decomposition; Riemannian distance; geodesics; diffusion tensors
TL;DR: A new geometric framework for the set of symmetric positive-definite (SPD) matrices is introduced, aimed at characterizing deformations of SPD matrices by individual scaling of eigenvalues and rotation of Eigenvectors of the SPDMatrices. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2014 journal article

Distribution of the height of local maxima of Gaussian random fields

EXTREMES, 18(2), 213–240.

By: D. Cheng n & A. Schwartzman n

author keywords: Height; Overshoot; Local maxima; Riemannian manifold; Gaussian orthogonal ensemble; Isotropic field; Euler characteristic; Sphere
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Source: Web Of Science
Added: August 6, 2018

2014 journal article

FDR control of detected regions by multiscale matched filtering

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 46(1), 127–144.

By: N. Kachouie *, X. Lin * & A. Schwartzman n

author keywords: FDR control; Matched filtering; Multiscale bandwidth; Kernel regression; Region detection
TL;DR: Simulations show that the proposed technique is a multiscale kernel regression in conjunction with statistical multiple testing for region detection while controlling the false discovery rate (FDR) and maximizing the signal-to-noise ratio via matched filtering. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2014 journal article

False discovery control in large-scale spatial multiple testing

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 77(1), 59–83.

By: W. Sun *, B. Reich n , T. Cai *, M. Guindani * & A. Schwartzman n

author keywords: Compound decision theory; False cluster rate; False discovery exceedance; False discovery rate; Large-scale multiple testing; Spatial dependence
TL;DR: A unified theoretical and computational framework for false discovery control in multiple testing of spatial signals is developed and oracle procedures which optimally control the false discovery rate, false discovery exceedance and false cluster rate are derived. (via Semantic Scholar)
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Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2014 journal article

Nonparametric Regression for Estimation of Spatiotemporal Mountain Glacier Retreat From Satellite Images

IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 53(3), 1135–1149.

By: N. Kachouie *, T. Gerke *, P. Huybers * & A. Schwartzman n

author keywords: Curve fitting; glacier terminus; global warming; local polynomial regression; plug-in bandwidth selection; spatiotemporal analysis; tracking
TL;DR: The proposed method permits for detecting inflection points in multispectral satellite imagery taken along a glacier's flow path in order to identify candidate terminus locations and the long-term trend of the terminus position is estimated with uncertainty bounds. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2014 journal article

The Empirical Distribution of a Large Number of Correlated Normal Variables

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 110(511), 1217–1228.

By: D. Azriel * & A. Schwartzman n

author keywords: Asymptotic approximation; Dependent random variables; Empirical null; Factor analysis; High-dimensional data; Strong correlation
TL;DR: This work provides a necessary and sufficient condition for convergence of the empirical cumulative distribution function (ecdf) of standard normal random variables under arbitrary correlation, and shows that the ecdf limit is a random, possible infinite, mixture of normal distribution functions that depends on a number of latent variables and can serve as an asymptotic approximation to the ecDF in high dimensions. (via Semantic Scholar)
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Source: Web Of Science
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