Preprints and papers | 2026

Preprints and papers | 2026

Thomas CassFrancesco Piatti, Jeffrey Pei
Numerical Schemes for Signature Kernels

SIAM Journal on Numerical Analysis  (2025)  DOI


Andraž Jelinčič, JiaJie Tao, Will TurnerThomas CassJames Foster, Hao Ni
Generative Modeling of Lévy Area for High Order SDE Simulation

SIAM Journal on Mathematics of Data Science (2025)  DOI


Francesco PiattiThomas CassWill Turner
Random Controlled Differential Equations

arXiv:2512.23670 (29 Dec 2025)  DOI


Torben Berndt, Ben Walker, Teixin Qin, Jan Stühmer, Andrey Kormilitzin
Permutation Equivariant Neural Controlled Differential Equations for Dynamic Graph Representation Learning
NeurIPS 2025 Conference (3 Dec 2025)  DOI


Maud LemercierPaola Arrubarrena, Salvatore Di Giorgio, Julia BrettschneiderThomas Cass, Isabel S. Naarmann-de Vries, Anastasia Papavasiliou, Alessia Ruggieri, Irem Tellioglu, Chia Ching Wu, F. Nina Papavasiliou, Terry Lyons
Path Signatures Enable Model-Free Mapping of RNA Modifications
arXiv:2511.08855 (12 Nov 2025)  DOI


Nikita ZozoulenkoThomas Cass, Lukas Gonon
Infinite-dimensional Mahalanobis distance with applications to kernelized novelty detection

Journal of Machine Learning Research (1 Nov 2025)  DOI


Yihao Ang, Yifan Bao, Lei JiangJiaJie Tao, Anthony K.H. Tung, Lukasz Szpruch, Hao Ni
Structured Agentic Workflows for Financial Time-Series Modeling with LLMs and Reflective Feedback
Accepted at ICAIF2025 (6 Oct 2025)  DOI


Teixin Qin, Ben WalkerTerry Lyons, Hong Yan, Haoliang Li
Learning Dynamic Graph Embeddings with Neural Controlled Differential Equations
Accepted at Transactions on Pattern Analysis and Machine Intelligence (28 Sep 2025)  DOI


Ben WalkerLingyi YangNicola Muça Cirone, Cristopher Salvi, Terry Lyons
Structured Linear CDEs: Maximally Expressive and Parallel-in-Time Sequence Models
Accepted at NeurIPS 2025 as a spotlight (18 Sep 2025)  DOI


Lei Jiang, Wen Ge, Niels Cariou Kotlarek, Mingxuan Yi, Po-Yu Chen, Lingyi Yang, Francois Buet-Golfouse, Gaurav Mittal, Hao Ni
Sig-DEG for Distillation: Making Diffusion Models Faster and Lighter
arXiv:2508.16939 (23 Aug 2025)  DOI


Samuel Crew, Cristopher SalviWill TurnerThomas Cass, Antoine Jacquier
Quantum Path Signatures

arXiv:2508.05103 (7 Aug 2025)  DOI


Nikita ZozoulenkoThomas Cass, Lukas Gonon
Random Feature Representation Boosting

Proceedings of the 42nd International Conference on Machine Learning (ICML,2025) (13-19 July 2025)  DOI


Ben WalkerLingyi YangNicola Muça Cirone, Cristopher Salvi, Terry Lyons
Structured Linear CDEs: Maximally Expressive and Parallel-in-Time Sequence Models
arXiv:2505.17761v1 (23 May 2025)  DOI


Thomas Cass, Christa Cuchiero, Peter Friz
Directions in Rough Analysis

Oberwolfach Reports (19 May 2025)  DOI


Terry Lyons,  Andrew D. McLeod
Higher Order Lipschitz Sandwich Theorems

Accepted at Journal of the London Mathematical Society  (19 Feb 2025)  DOI


Mohamed R. Ibrahim, Terry Lyons
Transforming CCTV cameras into NO2 sensors at city scale for adaptive policymaking
Scientific Reports (29 Jan 2025)  DOI


Terry Lyons,  Andrew D. McLeod
Signature Methods in Machine Learning

Accepted at EMS Surveys in Mathematical Science (24 January 2025)  DOI


Georg Manten, Cecilia Casolo, Emilio Rossi Ferrucci, Søren Wengel Mogensen, Cristopher Salvi, Niki Kilbertus
Signature Kernel Conditional Independence Tests in Causal Discovery for Stochastic Processes
Accepted at ICLR (22 Jan 2025)  DOI


Jiajia Tang, Jie Zhang, Yang Li, Yongzhi Hu, Doudou He, Hao Ni, Jiulou Zhang, Feiyun Wu, Yuxia Tang, Shouju Wang
Interpretable Radiomics Model Predicts Nanomedicine Tumor Accumulation Using Routine Medical Imaging

Accepted at ADVANCED MATERIALS (6 Jan 2025)  DOI

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