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Accurate Prediction of Photoinduced Electron Transfer Timescales with Nonadiabatic Microcanonical Rate Theory. [PDF]
Szabla R, Barboza CA.
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Maintenance of polymorphism in spatially heterogeneous environments. [PDF]
Sakamoto T, Yeaman S.
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Nonparametric estimation of conditional survival function with time-varying covariates using DeepONet. [PDF]
Hu B, Nan B.
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Rate of approximation of minimizing measures
Nonlinearity, 2007For T a continuous map from a compact metric space to itself and f a continuous function, we study the minimum of the integral of f with respect to the members of the family of invariant measures for T and in particular the rate at which this minimum is approached when the minimum is restricted to the family of invariant measures supported on periodic ...
Xavier Bressaud, Anthony Quas
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Budget-Dependent Convergence Rate of Stochastic Approximation
SIAM Journal on Optimization, 1998Summary: Convergence rate results are derived for a stochastic optimization problem where a performance measure is minimized with respect to a vector parameter \(t\). Assuming that a gradient estimator is available and that both the bias and the variance of the estimator are (known) functions of the budget devoted to its computation, the gradient ...
L'Ecuyer, Pierre, Yin, George
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Smoothness of functions and rate of approximation
Vestnik St. Petersburg University: Mathematics, 2008The present paper establishes a fact which, in the terminology adopted in the theory of approximation, is called the inverse theorem. The case in point is that if a function, continuous in a set, can be approximated at a given rate at some appropriate scale by some pool of approximating functions, then it has a well-defined smoothness. If, in addition,
O. V. Sil’vanovich, N. A. Shirokov
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