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20192021
most citedHigher Order Kernel Mean Embeddings to Capture Filtrations of Stochastic Processes

7 citations · 7 across the 1 of their papers we have counts for

collaborators

5 papers

stat.ML20217 cited

Higher Order Kernel Mean Embeddings to Capture Filtrations of Stochastic Processes

Cristopher Salvi, Maud Lemercier, Chong Liu +3

Stochastic processes are random variables with values in some space of paths. However, reducing a stochastic process to a path-valued random variable ignores its filtration, i.e. t…

stat.ML2021

SigGPDE: Scaling Sparse Gaussian Processes on Sequential Data

Maud Lemercier, Cristopher Salvi, Thomas Cass +3

Making predictions and quantifying their uncertainty when the input data is sequential is a fundamental learning challenge, recently attracting increasing attention. We develop Sig…

cs.CR2021

SK-Tree: a systematic malware detection algorithm on streaming trees via the signature kernel

Thomas Cochrane, Peter Foster, Varun Chhabra +3

The development of machine learning algorithms in the cyber security domain has been impeded by the complex, hierarchical, sequential and multimodal nature of the data involved. In…

q-fin.CP2020

Sig-SDEs model for quantitative finance

Imanol Perez Arribas, Cristopher Salvi, Lukasz Szpruch

Mathematical models, calibrated to data, have become ubiquitous to make key decision processes in modern quantitative finance. In this work, we propose a novel framework for data-d…

cs.LG2019

Deep Signature Transforms

Patric Bonnier, Patrick Kidger, Imanol Perez Arribas +2

The signature is an infinite graded sequence of statistics known to characterise a stream of data up to a negligible equivalence class. It is a transform which has previously been…