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Total Least Squares Regression in Input Sparsity Time

Neural Information Processing Systems

In the total least squares problem, one is given an m n matrix A, and an m d matrix B, and one seeks to "correct" both A and B, obtaining matrices  and B, so that there exists an X satisfying the equation ÂX = B. Typically the problem is overconstrained, meaning that m max(n, d).


Correlated Uncertainty for Learning Dense Correspondences from Noisy Labels

Neural Information Processing Systems

Analternativeapproach isto predict instead adistributionp(ˆy|x) = Φˆy(x) over possible values of the annotationy. Theannotators are shown a set of points sampled randomly and uniformly over one of predefined body parts of aperson inan image.



d7ce06e9293c3d8e6cb3f80b4157f875-Paper-Conference.pdf

Neural Information Processing Systems

However,computing extendedpersistent homologysummaries remainsslowfor large and dense graphs and can be aserious bottleneck for the learning pipeline.