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We consider the problem of function approximation by two-layer neural nets with random weights that are "nearly Gaussian" in the sense of Kullback-Leibler divergence.
Deterministic and Stochastic Optimal Control
Wendell H. Fleming and Raymond W. Rishel · 1975
Earlier work this paper cites.
Exit probabilities and optimal stochastic control
Wendell H. Fleming · 1978
Earlier work this paper cites.
Stochastic variational formula for fundamental solutions of parabolic PDE
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An entropy approach to time reversal of diffusion processes
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Earlier work this paper cites.
A stochastic control approach to reciprocal diffusion processes
Paolo Dai Pra · 1991
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Earlier work this paper cites.
Foundations of Modern Probability
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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