Fractional Brownian motion
PulseAugur coverage of Fractional Brownian motion — every cluster mentioning Fractional Brownian motion across labs, papers, and developer communities, ranked by signal.
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Gaussian Process Minima Analysis Unveiled in New Research
This paper investigates the high minima of Gaussian processes, focusing on overshoots and the locations of minimizers. It demonstrates that under certain conditions, the scaled overshoot converges to an exponential rand…
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New Math Paper Explores Universal Approximation with Brownian Signatures
A new paper introduces $L^p$-universal approximation theorems for functionals on rough path spaces, demonstrating that linear functionals on signatures of time-extended rough paths can approximate any $p$-integrable sto…
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New Fractional Stochastic Neural Networks Improve Long Memory Recovery and Robustness
Researchers have introduced Fractional Stochastic Neural Networks (FSNNs), a novel architecture that incorporates fractional Brownian motion to drive residual dynamics. This approach utilizes a discrete stochastic maxim…