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Emmanuel Abbe

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Learning StaircasesDeep Learning Theory Symposium 20212021-12-03
Claim: certain nested “staircase” Boolean functions with growing degree are not kernel learnable (NTK/random features require ~D^K samples/features) but are…
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Graph PoweringOptimization, Statistics and Uncertainty2017-11-28
Proposes graph powering: form a new graph by adding edges between nodes within graph distance ≤ R, using the adjacency of walks thresholded to 0/1, then run…
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Fundamental Limit of Community Detection in Stochastic Block ModelsInformation Theory, Learning and Big Data (Simons Institute, 2015)2015-03-16
States an exact information-theoretic threshold for exact recovery in stochastic block models with log-degree scaling: recovery occurs iff a Chernoff–Hellinger…
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Lucky Talk: From Coding to ClusteringInformation Theory, Learning and Big Data (Simons Institute, 2015)2015-03-16
Exact recovery for the stochastic block model is pinned down: with p = a log n / n and q = b log n / n the two-group symmetric case has a sharp solvability…
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Reed-Muller and Other Subcodes of the Sierpinski MatrixCoding: From Practice to Theory2015-02-19
Reed–Muller rows are reinterpreted via the Sierpinski tensor and a polarization of conditional ranks to build explicit parity matrices that meet a…
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