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Rademacher-Sketch: A Dimensionality-Reducing Embedding for Sum-Product Norms, with an Application to Earth-Mover Distance [chapter]

Elad Verbin, Qin Zhang
2012 Lecture Notes in Computer Science  
that generalizes earth-mover distance).  ...  In particular, composing this embedding with another well-known embedding of Indyk [18], we get an O(1/ )-distortion embedding from the earth-mover metric EMD∆ on the grid ⊗EEMD∆ (where EEMD is a norm  ...  In this paper we show dimensionality-reducing embeddings in sum-product normed spaces: the goal is, given a normed space Y = n 1 ⊗X, to find a small-distortion embedding of Y into a smaller-dimensional  ... 
doi:10.1007/978-3-642-31594-7_70 fatcat:rxolqh5eybd2pixl6eburgj3zy

Nearly-optimal bounds for sparse recovery in generic norms, with applications to k-median sketching [article]

Arturs Backurs, Piotr Indyk, Eric Price, Ilya Razenshteyn, David P. Woodruff
2015 arXiv   pre-print
Earth-Mover Distance norm).  ...  $m \times n$ matrices $A$ with the property that for any $x$, given $Ax$, we can recover a $k$-sparse approximation to $x$ in the given norm with probability at least $1-P$?  ...  Rademacher-sketch: A dimensionality-reducing embedding for sum-product norms, with an application to Earth-Mover Distance.  ... 
arXiv:1504.01076v1 fatcat:jxyastg24nbi7dxmicdddwogha

Nearly-optimal bounds for sparse recovery in generic norms, with applications to k-median sketching

Arturs Backurs, Piotr Indyk, Ilya Razenshteyn, David P. Woodruffs
2015 Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms  
A with the property that for any x, given Ax, we can recover a k-sparse approximation to x in the given norm with probability at least 1 − P?  ...  By applying our result to specific norms, we cast known measurement bounds in our general framework (for the ℓ p norms, p ∈ [1, 2]) as well as provide new, measurement-efficient schemes (for the Earth-Mover  ...  Rademacher-sketch: A dimensionality-reducing embedding for sum-product norms, with an application to Earth-Mover Distance.  ... 
doi:10.1137/1.9781611974331.ch24 dblp:conf/soda/BackursIRW16 fatcat:27pneob4wretpjgcqogsnteeja

Oblivious sketching for logistic regression [article]

Alexander Munteanu, Simon Omlor, David Woodruff
2021 arXiv   pre-print
Our sketch can be computed in input sparsity time over a turnstile data stream and reduces the size of a $d$-dimensional data set from $n$ to only $\operatorname{poly}(\mu d\log n)$ weighted points, where  ...  We also show how to obtain an $O(1)$-approximation with slight modifications. Our sketches are fast, simple, easy to implement, and our experiments demonstrate their practicality.  ...  Acknowledgements We thank the anonymous reviewers for their valuable comments. Alexander Munteanu  ... 
arXiv:2107.06615v1 fatcat:m62a2523tnft3bz64mlolu3yhq