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Lenka Zdeborova

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Where The Really Hard Problems Really Are?50 Years of Satisfiability: The Centrality of SAT in the Theory of Computing2021-02-11
Random k‑SAT shows sharp satisfiability transitions at a clause‑to‑variable ratio α and statistical‑physics methods (notably survey propagation and belief…
Talk
Statistical Physics and Computation in High DimensionProbability, Geometry, and Computation in High Dimensions Boot Camp (Simons Institute, Fall 2020)2020-08-19
Computes typical minimal energy per spin for the random‑field Ising model in the n→∞ limit and shows the average free energy equals the extremum of a replica…
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Statistical Physics and Computation in High DimensionProbability, Geometry, and Computation in High Dimensions Boot Camp (Simons Institute, Fall 2020)2020-08-19
Lecture contrasts exact limits and practical algorithms: replica and cavity methods give asymptotic mutual information and an information-theoretic recovery…
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Statistical Physics and Computation in High DimensionProbability, Geometry, and Computation in High Dimensions Boot Camp (Simons Institute, Fall 2020)2020-08-19
Analyzes teacher-student neural ensembles (committee machines) with analytic replica solution and matching simulations to produce exact learning curves as a…
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Statistical Physics and Computation in High DimensionProbability, Geometry, and Computation in High Dimensions Boot Camp (Simons Institute, Fall 2020)2020-08-19
Covers the generalized linear model with five concrete cases: perceptron storage capacity (spherical capacity = 2, binary perceptron conjectured threshold ≈…
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Solvable Model of Unsupervised Feature LearningRandom Instances and Phase Transitions (Simons Institute, 2016)2016-05-02
Defines a planted sparse dictionary matrix factorization (Gaussian noise, iid dictionary, sparse X) and computes the information‑theoretic MMSE via the…
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The Partition Function, Sampling and Equilibration in PhysicsCounting Complexity and Phase Transitions Boot Camp2016-01-26
Physicist framing focuses on the free energy as log Z per particle and uses Monte Carlo heuristics to locate sharp phase transitions; empirically mixing time…
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