Publications

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Recursive Bayesian neural networks

Published in arXiv preprint, 2024

This study proposes a recursive Bayesian neural network (rBNN) framework for uncertainty-aware constitutive modelling in geotechnical engineering, incorporating a sliding window approach to capture temporal dependencies. Validated on numerical and experimental triaxial datasets, the rBNN provides robust confidence intervals, highlighting trade-offs between deterministic and probabilistic models.

Recommended citation: Noor, T., Nasir Lone, S., Ramana, G.V. and Nayek, R., 2025. A recursive Bayesian neural network for constitutive modeling of sands under monotonic loading. arXiv e-prints, pp.arXiv-2501.
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Alpha-VI DeepONet

Published in arXiv preprint, 2024

We introduce a novel deep operator network (DeepONet) framework that incorporates generalised variational inference (GVI) using Rényi’s α-divergence to learn complex operators while quantifying uncertainty. We apply this approach to a range of mechanics problems, including gravity pendulum, advection-diffusion, and diffusion-reaction systems.

Recommended citation: S. N. Lone, S. De, R. Nayek, Alpha-VI DeepONet: A prior-robust variational Bayesian approach for enhancing DeepONets with uncertainty quantification, arXiv preprint arXiv:2408.00681 (2024)
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