14 citations · 40 across the 19 of their papers we have counts for
6 papers · 1 filter
Pathwise Regularisation of Singular Interacting Particle Systems and their Mean Field Limits
Fabian Harang, Avi Mayorcas
We investigate the regularizing effect of certain perturbations by noise in singular interacting particle systems under the mean field scaling. In particular, we show that the addi…
Regularization of multiplicative SDEs through additive noise
Lucio Galeati, Fabian A. Harang
We investigate the regularizing effect of certain additive continuous perturbations on SDEs with multiplicative fractional Brownian motion (fBm). Traditionally, a Lipschitz require…
Hybrid Template Canonical Correlation Analysis Method for Enhancing SSVEP Recognition under data-limited Condition
Runfeng Miao, Li Zhang, Qiang Sun
In this study, an advanced CCA-based algorithn called hybrid template canonical correlation analysis (HTCCA) was proposed to improve the performance of brain-computer interface (BC…
Regularity of Local times associated to Volterra-Lévy processes and path-wise regularization of stochastic differential equations
Fabian A. Harang, Chengcheng Ling
We investigate the space-time regularity of the local time associated to Volterra-Lévy processes, including Volterra processes driven by -stable processes for . We sh…
Infinite Dimensional Pathwise Volterra Processes Driven by Gaussian Noise -- Probabilistic Properties and Applications
Fred E. Benth, Fabian A. Harang
We investigate the probabilistic and analytic properties of Volterra processes constructed as pathwise integrals of deterministic kernels with respect to the Hölder continuous traj…
C-infinity regularization of ODEs perturbed by noise
Fabian A. Harang, Nicolas Perkowski
We study ODEs with vector fields given by general Schwartz distributions, and we show that if we perturb such an equation by adding an "infinitely regularizing" path, then it has a…