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20152023
most citedMathematics of Deep Learning

80 citations · 138 across the 20 of their papers we have counts for

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Showing 2018Show all

11 papers · 1 filter

cs.LG20182 cited

Dual Principal Component Pursuit: Probability Analysis and Efficient Algorithms

Zhihui Zhu, Yifan Wang, Daniel P. Robinson +3

Recent methods for learning a linear subspace from data corrupted by outliers are based on convex and nuclear norm optimization and require the dimension of the subspace a…

cs.IT2018

Nonconvex Robust Low-rank Matrix Recovery

Xiao Li, Zhihui Zhu, Anthony Man-Cho So +1

In this paper we study the problem of recovering a low-rank matrix from a number of random linear measurements that are corrupted by outliers taking arbitrary values. We consider a…

eess.SP2018

On Geometric Analysis of Affine Sparse Subspace Clustering

Chun-Guang Li, Chong You, René Vidal

Sparse subspace clustering (SSC) is a state-of-the-art method for segmenting a set of data points drawn from a union of subspaces into their respective subspaces. It is now well un…

cs.CV2018

Monocular Object Orientation Estimation using Riemannian Regression and Classification Networks

Siddharth Mahendran, Ming Yang Lu, Haider Ali +1

We consider the task of estimating the 3D orientation of an object of known category given an image of the object and a bounding box around it. Recently, CNN-based regression and c…

math.OC2018

Global Optimality in Separable Dictionary Learning with Applications to the Analysis of Diffusion MRI

Evan Schwab, Benjamin D. Haeffele, René Vidal +1

Sparse dictionary learning is a popular method for representing signals as linear combinations of a few elements from a dictionary that is learned from the data. In the classical s…

cs.LG2018

On the Implicit Bias of Dropout

Poorya Mianjy, Raman Arora, Rene Vidal

Algorithmic approaches endow deep learning systems with implicit bias that helps them generalize even in over-parametrized settings. In this paper, we focus on understanding such a…