[BUKU][B] A course on rough paths

PK Friz, M Hairer - 2020 - Springer
Peter K. Friz Martin Hairer With an Introduction to Regularity Structures Second Edition
Page 1 Universitext Peter K. Friz Martin Hairer A Course on Rough Paths With an …

A primer on the signature method in machine learning

I Chevyrev, A Kormilitzin - ar** the path signature methodology and its application to landmark-based human action recognition
W Yang, T Lyons, H Ni, C Schmid, L ** - Stochastic Analysis, Filtering …, 2022 - Springer
Landmark-based human action recognition in videos is a challenging task in computer
vision. One key step is to design a generic approach that generates discriminative features …

[HTML][HTML] The uniqueness of signature problem in the non-Markov setting

H Boedihardjo, X Geng - Stochastic Processes and their Applications, 2015 - Elsevier
We establish a general framework for a class of multidimensional stochastic processes over
[0, 1] under which with probability one, the signature (the collection of iterated path integrals …

Singular paths spaces and applications

C Bellingeri, PK Friz, M Gerencsér - Stochastic Analysis and …, 2022 - Taylor & Francis
Motivated by recent applications in rough volatility and regularity structures, notably the
notion of singular modeled distribution, we study paths, rough paths and related objects with …

Selective domain wall depinning by localized Oersted fields and Joule heating

D Ilgaz, M Kläui, L Heyne, O Boulle, F Zinser… - Applied Physics …, 2008 - pubs.aip.org
Using low temperature magnetoresistance measurements, the possibility to selectively move
a domain wall locally by applying current pulses through a Au nanowire adjacent to a …

Iterated integrals and population time series analysis

C Giusti, D Lee - Topological Data Analysis: The Abel Symposium 2018, 2020 - Springer
One of the core advantages topological methods for data analysis provide is that the
language of (co) chains can be mapped onto the semantics of the data, providing a natural …

An Asymptotic Radius of Convergence for the Loewner Equation and Simulation of Traces via Splitting

J Foster, T Lyons, V Margarint - Journal of Statistical Physics, 2022 - Springer
In this paper, we study the convergence of Taylor approximations for the backward SLE
maps near the origin. In addition, this result highlights the limitations of using stochastic …