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Florent Krzakala

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Panel on the future of scientific research and educationUnknown Futures of Generalization 20242024-12-02
A live panel debates which research skills survive widespread LLM use and gives concrete examples: a student-run “Resurrected Scientists” ChatGPT experiment…
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How neural networks learns simple functions?Unknown Futures of Generalization 20242024-12-02
Examines learning of multi‑index targets on Gaussian data and shows concrete failure modes and fixes: random features = polynomial fitting so kernels or lazy…
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To Be (Hard) or Not Be:...Rigorous Evidence for Information-Computation Trade-offs2021-09-13
Defines the spiked matrix-tensor model (rank‑one vector, noisy matrix plus p=3 tensor), computes the Bayes-optimal MMSE from the limiting free energy and…
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Phase Retrieval in High Dimensions: Statistical and Computational Phase TransitionsComputational Phase Transitions (Simons Institute, 2020)2020-09-21
Random Gaussian measurements require weak threshold m/d = β/2 (real 1/2, complex 1) and strong threshold m/d = β (real 1, complex 2); orthogonal ensembles push…
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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
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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Phase Transitions in Low-Rank Matrix EstimationRandom Instances and Phase Transitions (Simons Institute, 2016)2016-05-02
Florent Krzakala, École Normale Supérieure Paris Random Instances and Phase Transitions https://simons.berkeley.edu/talks/florent-krzakala-2016-05-03
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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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Sparse Superposition Codes for the AWGN Channel, Message Passing, Replica and Spatial CouplingCoding: From Practice to Theory2015-02-19
Sparse superposition codes encode messages as L sections of size B with one nonzero entry, then multiply by a random or Hadamard matrix and send over AWGN…
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