4 problems
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Phil Long's conjecture that the factor-of-two gap is unavoidable
In real-valued statistical learning, the -fat-shattering dimension controls learnability and uniform convergence only up to a possible factor of in the scale. Phil Long'…
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The conjecture that logarithmic factors are unnecessary for PAC bounds
In binary classification, let denote the relevant complexity parameter and let be the sample size. The one-inclusion graph approach gives an in-expectation PAC error bound…
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Uniform convergence conjecture for gradient and Hessian estimation in sparse M-estimation
Let the risk function and empirical risk arise from a sparse, possibly non-convex M-estimation problem, with sparsity constraint represented by an restriction. Uniform con…
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Uniform periodic approximation conjecture for continued-fraction means
Uniform periodic approximation conjecture. For each and almost all , the limit exists and