Dr Angelica Aviles Rivero | Faculty of Mathematics

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My research lies at the intersection of computational mathematics and machine learning for applications to large-scale real world problems. My central research is to develop new data-driven algorithmic techniques that allow computers to gain high-level understanding from vast amounts of data, this, with the aim of aiding the decisions of users. These methods are based on mathematical modelling and machine learning methods.

Keywords: $\bigstar$ Applied Mathematics $\bigstar$ Computational Mathematics $\bigstar$ Inverse problems $\bigstar$ Image Analysis $\bigstar$ Graph Learning $\bigstar$ Machine Learning.

Publications

Contrastive Registration for Unsupervised Medical Image Segmentation

L Liu, AI Aviles-Rivero, C-B Schonlieb

– IEEE Trans Neural Netw Learn Syst

(2025)

36,

147

(doi: 10.1109/TNNLS.2023.3332003)

Mamba Neural Operator: Who Wins? Transformers vs. State-Space Models for PDEs

C-W Cheng, J Huang, Y Zhang, G Yang, C-B Schönlieb, AI Aviles-Rivero

(2024)

(link to publication)

NODE-Adapter: Neural Ordinary Differential Equations for Better Vision-Language Reasoning

Y Zhang, C-W Cheng, K Yu, Z He, C-B Schönlieb, AI Aviles-Rivero

(2024)

(link to publication)

Deep Block Proximal Linearised Minimisation Algorithm for Non-convex Inverse Problems

C Huang, Z Wu, Y Cheng, T Zeng, C-B Schönlieb, AI Aviles-Rivero

(2024)

(link to publication)

LaplaceNet: A Hybrid Graph-Energy Neural Network for Deep Semisupervised Classification

P Sellars, AI Aviles-Rivero, C-B Schonlieb

– IEEE Transactions on Neural Networks and Learning Systems

(2024)

35,

5306

(doi: 10.1109/TNNLS.2022.3203315)

Bilevel Hypergraph Networks for Multi-Modal Alzheimer's Diagnosis

AI Aviles-Rivero, C-W Cheng, Z Deng, Z Kourtzi, C-B Schönlieb

(2024)

(doi: 10.48550/arxiv.2403.12719)

(link to publication)

HAMLET: Graph Transformer Neural Operator for Partial Differential Equations

A Bryutkin, J Huang, Z Deng, G Yang, C-B Schönlieb, A Aviles-Rivero

(2024)

(link to publication)

Single-Shot Plug-and-Play Methods for Inverse Problems

Y Cheng, L Zhang, Z Shen, S Wang, L Yu, RH Chan, C-B Schönlieb, AI Aviles-Rivero

(2023)

(link to publication)

TRIDENT: The Nonlinear Trilogy for Implicit Neural Representations

Z Shen, Y Cheng, RH Chan, P Liò, C-B Schönlieb, AI Aviles-Rivero

(2023)

(doi: 10.48550/arxiv.2311.13610)

(link to publication)

Traffic Video Object Detection using Motion Prior

L Liu, Y Cheng, D Chen, J He, P Liò, C-B Schönlieb, AI Aviles-Rivero

(2023)

(doi: 10.48550/arxiv.2311.10092)

(link to publication)