4 problems
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Conjectured minor improvement from adapting classical fluctuation-bound proofs
The discussion concerns finitary versions of the classical proofs for fluctuation bounds, applied to supermartingales rather than only martingales. Approximation-bound conjecture.…
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Extension of the convergence proofs to the general opto-electronic oscillator model
The paper considers convergence proofs for an opto-electronic coherent Ising machine under a restricted setting, namely a linear approximation of a single trigonometric transfer fu…
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Monotonicity conjecture for active information in Metropolis–Hastings algorithms
Let denote the active information of a stochastic algorithm that starts randomly according to the null distribution of a non-guided algorithm and then performs …
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Gaussian approximation for the unregularized stochastic optimal transport estimator
Gaussian approximation conjecture. The Gaussian approximation also holds when the regularization parameter satisfies .