Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Hirn, Matthew J."'
Autor:
Brugnone, Nathan, Gonopolskiy, Alex, Moyle, Mark W., Kuchroo, Manik, van Dijk, David, Moon, Kevin R., Colon-Ramos, Daniel, Wolf, Guy, Hirn, Matthew J., Krishnaswamy, Smita
Publikováno v:
Proceedings of the 2019 IEEE International Conference on Big Data, pages 2624-2633, 2019
Big data often has emergent structure that exists at multiple levels of abstraction, which are useful for characterizing complex interactions and dynamics of the observations. Here, we consider multiple levels of abstraction via a multiresolution geo
Externí odkaz:
http://arxiv.org/abs/1907.04463
Autor:
Andreux, Mathieu, Angles, Tomás, Exarchakis, Georgios, Leonarduzzi, Roberto, Rochette, Gaspar, Thiry, Louis, Zarka, John, Mallat, Stéphane, andén, Joakim, Belilovsky, Eugene, Bruna, Joan, Lostanlen, Vincent, Chaudhary, Muawiz, Hirn, Matthew J., Oyallon, Edouard, Zhang, Sixin, Cella, Carmine, Eickenberg, Michael
The wavelet scattering transform is an invariant signal representation suitable for many signal processing and machine learning applications. We present the Kymatio software package, an easy-to-use, high-performance Python implementation of the scatt
Externí odkaz:
http://arxiv.org/abs/1812.11214
Publikováno v:
Applied and Computational Harmonic Analysis, Volume 45, Issue 3, November 2018, Pages 709-728
We consider a collection of $n$ points in $\mathbb{R}^d$ measured at $m$ times, which are encoded in an $n \times d \times m$ data tensor. Our objective is to define a single embedding of the $n$ points into Euclidean space which summarizes the geome
Externí odkaz:
http://arxiv.org/abs/1608.03628
Publikováno v:
Revista Matem\'atica Iberoamericana, volume 33, issue 1, pages 29-66, 2017
We consider the following interpolation problem. Suppose one is given a finite set $E \subset \mathbb{R}^d$, a function $f: E \rightarrow \mathbb{R}$, and possibly the gradients of $f$ at the points of $E$. We want to interpolate the given informatio
Externí odkaz:
http://arxiv.org/abs/1411.5668
Autor:
Hirn, Matthew J.
One classical measure of the quality of an interpolating function is its Lipschitz constant. In this paper we consider interpolants with additional smoothness requirements, in particular that their derivatives be Lipschitz. We show that such a measur
Externí odkaz:
http://arxiv.org/abs/1307.3292
Autor:
Hirn, Matthew J., Gruyer, Erwan Le
Publikováno v:
Mathematische Annalen, August 2014, Volume 359, Issue 3-4, pp 595-628
In this paper we consider a wide class of generalized Lipschitz extension problems and the corresponding problem of finding absolutely minimal Lipschitz extensions. We prove that if a minimal Lipschitz extension exists, then under certain other mild
Externí odkaz:
http://arxiv.org/abs/1211.5700
Autor:
Coifman, Ronald R., Hirn, Matthew J.
Publikováno v:
Applied and Computational Harmonic Analysis, Volume 36, Issue 1, January 2014, Pages 79-107
Graph Laplacians and related nonlinear mappings into low dimensional spaces have been shown to be powerful tools for organizing high dimensional data. Here we consider a data set X in which the graph associated with it changes depending on some set o
Externí odkaz:
http://arxiv.org/abs/1209.0245
Autor:
Hirn, Matthew J.
Publikováno v:
Linear Algebra and its Applications, Volume 432, Issue 5, 15 February 2010, Pages 1105-1125
Harmonic frames of prime order are investigated. The primary focus is the enumeration of inequivalent harmonic frames, with the exact number given by a recursive formula. The key to this result is a one-to-one correspondence developed between inequiv
Externí odkaz:
http://arxiv.org/abs/1209.0153
Autor:
Coifman, Ronald R., Hirn, Matthew J.
Publikováno v:
Applied and Computational Harmonic Analysis, volume 35, number 1, pages 177-180, July, 2013
In this short letter we present the construction of a bi-stochastic kernel p for an arbitrary data set X that is derived from an asymmetric affinity function {\alpha}. The affinity function {\alpha} measures the similarity between points in X and som
Externí odkaz:
http://arxiv.org/abs/1209.0237
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