no code implementations • 21 Apr 2022 • Ege Ozsar, Misha Kilmer, Eric Miller, Eric de Sturler, Arvind Saibaba
We introduce PaLEnTIR, a significantly enhanced parametric level-set (PaLS) method addressing the restoration and reconstruction of piecewise constant objects.
no code implementations • 15 Nov 2018 • Elizabeth Newman, Lior Horesh, Haim Avron, Misha Kilmer
To exemplify the elegant, matrix-mimetic algebraic structure of our $t$-NNs, we expand on recent work (Haber and Ruthotto, 2017) which interprets deep neural networks as discretizations of non-linear differential equations and introduces stable neural networks which promote superior generalization.
no code implementations • 29 Jun 2017 • Elizabeth Newman, Misha Kilmer, Lior Horesh
From linear classifiers to neural networks, image classification has been a widely explored topic in mathematics, and many algorithms have proven to be effective classifiers.
no code implementations • 21 Dec 2015 • Eric Kernfeld, Nathan Majumder, Shuchin Aeron, Misha Kilmer
In this paper we present a new model and an algorithm for unsupervised clustering of 2-D data such as images.
no code implementations • 22 Dec 2014 • Eric Kernfeld, Shuchin Aeron, Misha Kilmer
In this paper, we develop a method for unsupervised clustering of two-way (matrix) data by combining two recent innovations from different fields: the Sparse Subspace Clustering (SSC) algorithm [10], which groups points coming from a union of subspaces into their respective subspaces, and the t-product [18], which was introduced to provide a matrix-like multiplication for third order tensors.
2 code implementations • CVPR 2014 • Zemin Zhang, Gregory Ely, Shuchin Aeron, Ning Hao, Misha Kilmer
Based on t-SVD, the notion of multilinear rank and a related tensor nuclear norm was proposed in [11] to characterize informational and structural complexity of multilinear data.
no code implementations • 2 Jul 2013 • Zemin Zhang, Gregory Ely, Shuchin Aeron, Ning Hao, Misha Kilmer
In this paper we propose novel methods for compression and recovery of multilinear data under limited sampling.