Embedded Files
Papers
Papers
Score-Optimal Diffusion Schedules
C. Williams, A. Campbell, A. Doucet, S. Syed
Advances in Neural Information Processing Systems 38, 2024
Full-Spectrum Dispersion Relation Preserving Summation-by-Parts Operators
C. Williams, K. Duru
SIAM Journal on Numerical Analysis 62 (4), 1565-1588, 2024
Approximations to the Fisher Information Metric of Deep Generative Models for Out-Of-Distribution Detection
S. Dauncey, C. Holmes, C. Williams, F. Falck
Transactions on Machine Learning Research (TMLR), 2024
Full Spectrum Interior Dispersion Relation Preserving Schemes
C. Williams, K. Duru
International Conference on Waves 2024 16, 401-402, 2024
A Unified Framework for U-Net Design and Analysis
C. Williams*, F. Falck*, G. Deligiannidis, C.C. Holmes, A. Doucet, S. Syed
Advances in Neural Information Processing Systems 37, 27745-27782, 2023
On Gradients of Deep Generative Models for Representation-Invariant Anomaly Detection
S. Dauncey, C.C. Holmes, C. Williams, F. Falck
ICLR 2023 Workshop on Pitfalls of Limited Data and Computation, 2023
A Multi-Resolution Framework for U-Nets with Applications to Hierarchical VAEs
F. Falck*, C. Williams*, G. Deligiannidis, C.C. Holmes, A. Doucet
Advances in Neural Information Processing Systems 36, 15529-15544, 2022 (oral, 1.76% acceptance rate)
Reconstructing Linearly Embedded Graphs: A First Step to Stratified Space Learning
Y. Bokor*, K. Turner*, C. Williams*
Foundations of Data Science 4 (4), 537-561, 2022
Accurate Simulations of Nonlinear Dynamic Shear Ruptures on Pre-Existing Faults in 3D Elastic Solids with Dual-Pairing SBP Methods
C. Williams, K.Duru, F. Fung, E. Dunham
arXiv preprint arXiv:2207.07891, 2022
Dual-Pairing Summation by Parts Finite Difference Methods for Large Scale Elastic Wave Simulations in 3D Complex Geometries
K. Duru*, F. Fung*, C. Williams*
Journal of Computational Physics 454, 110966, 2022
Dispersion Relation Preserving FD Schemes and Self-Affine DG Elements
C.J. Williams
The Australian National University, 2021
Self-Similar Models and How to Find Them: A Moment Theory Approach
C.J. Williams
The Australian National University, 2019
Generalised Sierpinski Triangles
K. Steemson*, C. Williams*
arXiv preprint arXiv:1803.00411, 2018
Reviewing Service
Reviewing Service
TMLR 2023 - current, ICML 2025, ICLR 2025, NeurIPS 2024
Presentations
Presentations
Score-Optimal Diffusion Schedules,
Score-Optimal Diffusion Schedules,
Dispersion Relation Preserving Schemes,
The Geometry of Diffusion Paths,
A Unified Framework for U-Net Design,
Dispersion Relation Preserving Schemes,
A Multi-Resolution Framework for U-Nets,
A Multi-Resolution Framework for U-Nets,
A Multi-Resolution Framework for U-Nets,
A Multi-Resolution Framework for U-Nets,
Numerical Methods for PDE on Fractal Domains,
Optimal Annealing Paths,
Dispersion Relation Preserving Schemes and Fractal DG elements,
Large Scale Wave Propagation with Dual-Pairing Methods,
Dimension Reduction in Fuzzing Optimisation,
Self-Similar Models and How to Find Them,
Post Quantum Signature Schemes,
Flowering Pattern response to Climate Change,
Geometry for AI and Statistics Workshop, Metochi Study Center, Lesbos, Greece
Young Statistician Seminar, Oxford, United Kingdom
WAVES 2024, The Max Planck Society, Berlin, Germany
DST Seminar 2024, Adelaide, Australia
NeurIPS at Cambridge 2023, Cambridge, United Kingdom
Fluids Reading Group 2023, Oxford, United Kingdom
Amazon Research Cambridge 2022, Cambridge, United Kingdom
NeurIPS at Cambridge 2022, Cambridge, United Kingdom
NeurIPS Oral 2022, New Orleans, United States
D^2 Reading group 2022, Oxford, United Kingdom
Workshop on Fractal Geometry 2022, Bristol, United Kingdom
DST Seminar 2023, Adelaide, Australia
Computational Mathematics Colloquium 2022, ANU, Canberra, Australia
MODSIM 2020, Canberra, Australia
DSTEM 2019, Melbourne, Australia
Honours Colloquium 2019, Canberra, Australia
ACSC seminar 2018, Canberra, Australia
CSIRO research seminar 2017, Canberra, Australia
Posters
Posters
Optimal Diffusion Schedules,
Optimal Diffusion Schedules,
A Unified Framework for U-Nets,
A Unified Framework for U-Nets,
A Multi-resolution Framework for U-Nets,
A Multi-resolution Framework for U-Nets,
Numerical Methods for PDE on Fractal Domains,
NeurIPS 2024, Vancouver Canada
NeurIPS at Cambridge 2024, Cambridge, United Kingdom
NeurIPS at Cambridge 2023, Cambridge, United Kingdom
NeurIPS 2023, New Orleans, United States
NeurIPS at Cambridge 2023, Cambridge, United Kingdom
NeurIPS 2023, New Orleans, United States
Workshop on Fractal Geometry 2022, Bristol, United Kingdom
Workshop co-Organisation
Workshop co-Organisation
Ellis Workshop for Robustness in LLMs,
Ellis Workshop for Robust Machine Learning,
Ellis Workshop for Robust Machine Learning,
Oxford, United Kingdom 2024
Helsinki, Finland 2024
Helsinki, Finland 2023
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