Preprints and papers | 2025

Preprints and papers | 2025

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


Siran Li, Hao Ni, Qianyu Zhu
Small mass limit of expected signature for physical Brownian motion
Accepted at Annales de l’Institut Henri Poincaré  (2025)  DOI


Bowen Fang, Hao NiYue Wu
A Neural RDE-based model for solving path-dependent PDEs
Accepted by the conference proceedings SAAT 2025. Stochastic Analysis and Applications 2025: In Honour of Terry Lyons


Francesco PiattiThomas CassWill Turner
Random Controlled Differential Equations

arXiv:2512.23670 (29 Dec 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
The 6th ACM International conference on AI in Finance (ICAIF2025) (6 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


Ioannis Gasteratos, Antoine Jacquier, Maud LemercierTerry LyonsCristopher Salvi
Novelty detection on path space
arXiv:2512.03243v1 (2 Dec 2025)  DOI


Louis J. M. Aslett, ..., Samuel CohenTerry LyonsSam Morley
DECOVID: A UK Two-Center Harmonized Database of Acute Care Electronic Health Records for COVID-19 Research
Data (24 Nov 2025)  DOI


Eghbal Rahimikia, Hao Ni, Weiguan Wang
Re(Visiting) Time Series Foundation Models in Finance
arXiv:2511.18578 (23 Nov 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


Tianlong Feng, Qingchen Li, Yuanyuan Zhang, Yongzhi Liao, Di Lu, Liping Wang, Jianqin Zhao, Lei JiangHao Ni, Hongying Liu, Jingjing Deng
PathFusion-Net: A Rough Path Theory-Based Deep Learning Model for ECG Arrhythmia Classification
IEEE Journal of Biomedical and Health Informatics (6 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


Teixin Qin, Ben WalkerTerry Lyons, Hong Yan, Haoliang Li
Learning Dynamic Graph Embeddings with Neural Controlled Differential Equations
IEEE Transactions on Pattern Analysis and Machine Intelligence (3 Oct 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


Yilin Shi, Lei Jiang, Hao Ni, Lianwen Jin
DevInSight: Weaving Path Development into Online Signature Verification
The 19th International Conference on document analysis and recognition (ICDAR) (16 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


Dan Crisan, Ilya Chevyrev, Thomas CassJames Foster, Christian Litterer,  Cristopher Salvi
A Canonical Signature-Based Feature Set for Multivariate Time Series Classification
Accepted at Stochastic Analysis and Applications 2025: In Honour of Terry Lyons (SAAT 2025) (6 June 2025)  DOI


Zheyan Li, Yuantu Zhu, Hao Ni, Siran Li, Bingguang Chen, Qi Meng
SPDEBench: An Extensive Benchmark for Learning Regular and Singular Stochastic PDEs
arXiv:2505.18511 (24 May 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


Csaba Toth,  Harald Oberhauser, Zoltan Szabo
Random Fourier Signature Features
SIAM Journal on Mathematics of Data Science (7 Mar 2025)   DOI


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

Journal of the London Mathematical Society  (7 Mar 2025)  DOI


Chad Giusti, Darrick Lee, Vidit Nanda and Harald Oberhauser
A Topological Approach to Mapping Space Signatures
Advances in Applied Mathematics (Feb 2025)   DOI


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

EMS Surveys in Mathematical Science (19 Feb 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

ADVANCED MATERIALS (7 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


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


Tiexin Qin, Mengxu Zhu, Chunyang Li, Terry Lyons, Hong Yan, Haoliang Li
Deep Signature: Characterization of Large-Scale Molecular Dynamics

13th International Conference on Learning Representations ICLR 2025 (1 Jan 2025)

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