Signature methods in Data Science
Feature representations for paths, images and time series, with an emphasis on memory, structure and interpretable learning.
BI Norwegian Business School · Simula Research Laboratory
Professor of Data Science at BI and Adjunct Chief Research Scientist at Simula, working across signature methods, stochastic analysis, applied stochastic modelling and trustworthy AI.
About
I develop data science methods for systems that are irregular, history-dependent or high-dimensional, with applications in industry, public-facing advice and decision-making under uncertainty.
My research sits at the intersection of signature methods in data science, stochastic analysis, applied stochastic modelling and trustworthy AI. A common thread is the search for precise mathematical representations of complex dynamics, especially when memory, uncertainty and irregularity are central rather than peripheral.
I am Professor of Data Science at BI Norwegian Business School and Adjunct Chief Research Scientist at Simula Research Laboratory. This work connects naturally with data science, operations research and trustworthy AI: designing methods and advice that are not only powerful, but interpretable, reliable and useful for real decision environments.
The ambition is simple: make complex systems more understandable, more useful and more responsible.
Research
Four themes currently shape my research, ranging from mathematical foundations to industry-facing modelling and AI decision support.
Feature representations for paths, images and time series, with an emphasis on memory, structure and interpretable learning.
Pathwise methods, stochastic differential equations, regularization by noise and Volterra-type systems.
Stochastic models for industry-facing problems where uncertainty, dynamics and operational decisions need to be handled together.
Reliable data-driven tools and thoughtful AI advice for decisions under uncertainty, developed with AMOR, SURE-AI and collaborators.
The tensordev repository by Paul Hager, Luca Pelizzari and collaborators provides efficient computation of Volterra signatures and related objects from recent preprints.
AI Notes
A dedicated place for notes, talks and public-facing reflections on trustworthy AI, mathematical risk and responsible data-driven decisions.
Together with Andreas Ravndal Kostøl, I have written some thoughts on developing a strategic Norwegian-European AI investment fund constructed from the Norwegian Pension Fund and built around the same model, with the objective of strengthening European AI infrastructure and industry.
Read more on practical implementationResearch and collaboration on AI systems that are sustainable, risk-aware and ethically grounded, connected to the SURE-AI centre.
Visit SURE-AINews
A simple news area for selected AMOR and SURE-AI updates, AI notes, notes, talks, reports and other items worth highlighting.
Selected centre news, activities and research highlights can be posted here.
AMOR centreRelevant news from SURE-AI, especially around trustworthy AI and responsible data-driven decisions.
Visit SURE-AIPublic reports, advisory documents and short reflections on AI can be collected in the AI Notes section.
AI NotesPublications
A complete, compact publication list is included below, with direct links to arXiv records where available. Google Scholar remains the best place for citation counts and profile-level updates.
Stochastic Processes and their Applications, 187, 104661, 2025. DOI: 10.1016/j.spa.2025.104661
Distribution dependent SDEs driven by additive continuous noise
Electronic Journal of Probability, 27, 1-38, 2022. DOI: 10.1214/22-EJP756
Pathwise Regularisation of Singular Interacting Particle Systems and their Mean Field Limits
DOI: 10.1016/j.spa.2023.02.005
Centres
Research leadership and collaboration live across centres that connect mathematics, operations research and trustworthy artificial intelligence.
Center for Applied Mathematics and Operations Research.
Contact about AMORThe Norwegian Centre for Sustainable, Risk-averse and Ethical AI.
Visit SURE-AIContact
The easiest way to reach me is by email. For research and collaboration requests, please include a short description of the topic and relevant timelines.