55 citations · 119 across the 28 of their papers we have counts for
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Nearness to Local Subspace Algorithm for Subspace and Motion Segmentation
Akram Aldroubi, Ali Sekmen
There is a growing interest in computer science, engineering, and mathematics for modeling signals in terms of union of subspaces and manifolds. Subspace segmentation and clusterin…
On the existence of Optimal Subspace Clustering Models
Akram Aldroubi, Romain Tessera
Given a set of vectors $\F=\{f_1,\dots,f_m\}$ in a Hilbert space $\HH$, and given a family $\CC$ of closed subspaces of $\HH$, the {\it subspace clustering problem} consists in fin…
Uncertainty Principles and Balian-Low type Theorems in Principal Shift-Invariant Spaces
Akram Aldroubi, Qiyu Sun, Haichao Wang
In this paper, we consider the time-frequency localization of the generator of a principal shift-invariant space on the real line which has additional shift-invariance. We prove th…
A Dimension Reduction Scheme for the Computation of Optimal Unions of Subspaces
Akram Aldroubi, Magalí Anastasio, Carlos Cabrelli +1
Given a set of points \F in a high dimensional space, the problem of finding a union of subspaces \cup_i V_i\subset \R^N that best explains the data \F increases dramatically with…