Impossibility of Dimension Reduction in the Nuclear Norm

Author:

Naor Assaf,Pisier Gilles,Schechtman Gideon

Funder

United States-Israel Binational Science Foundation

National Science Foundation

David and Lucile Packard Foundation

Simons Foundation

Israel Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference99 articles.

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2. Andoni, A.: Nearest neighbor search in high-dimensional spaces. In: Murlak F., Sankowski P. (eds.) Proceedings of the 36th International Symposium on Mathematical Foundations of Computer Science (MFCS 2011). Lecture Notes in Computer Science, vol. 6907, pp. 1. Springer, Berlin (2011). www.mit.edu/~andoni/papers/nns-mfcs.pptx

3. Andoni, A., Charikar, M.S., Neiman, O., Nguy$$\tilde{\hat{{\rm e}}}$$n, H.L.: Near linear lower bound for dimension reduction in $$\ell _1$$. In: 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science (FOCS 2011), pp. 315–323. IEEE Computer Society, Los Alamitos (2011)

4. Andoni, A., Naor, A., Neiman, O.: On isomorphic dimension reduction in $$\ell _1$$ (2017). Preprint

5. Andoni, A., Naor, A., Nikolov, A., Razenshteyn, I., Waingarten, E.: Data-dependent hashing via nonlinear spectral gaps. In: STOC’18—Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, pp. 787–800. ACM, New York (2018)

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