Ridwan Olabiyi

Kaustubh Mhatre, Vedant Tewari, Aditya Ray et al.

Topology optimization is a computational method used to determine the optimal material distribution within a prescribed design domain, aiming to minimize structural weight while satisfying load and boundary conditions. For critical infrastructure applications, such as structural health monitoring of bridges and buildings, particularly in digital twin contexts, low-latency energy-efficient topology optimization is essential. Traditionally, topology optimization relies on finite element analysis (FEA), a computationally intensive process. Recent advances in deep neural networks (DNNs) have introduced data driven alternatives to FEA, substantially reducing computation time while maintaining solution quality. These DNNs have complex architectures and implementing them on inference-class GPUs results in high latency and poor energy efficiency. To address this challenge, we present a hardware accelerated implementation of a topology optimization neural network (CRONet) on the AMD Versal AI Engine-ML (AIE-ML) architecture. Our approach efficiently exploits the parallelism and memory hierarchy of AIE-ML engines to optimize the execution of various neural network operators. We are the first to implement an end-to-end neural network fully realized on the AIE-ML array, where all intermediate activations and network weights reside on-chip throughout inference, eliminating any reliance on DRAM for intermediate data movement. Experimental results demonstrate that our implementation achieves up to 2.49x improvement in latency and up to 4.18x improvement in energy efficiency compared to an inference-class ML-optimized GPU in the same power budget (Nvidia T4) after scaling for technology node. These results highlight the potential of Versal AIE-ML based acceleration for enabling low-latency energy-efficient topology optimization.

Ridwan Olabiyi, Han Hu, Ashif Iquebal

In the study of complex dynamical systems, understanding and accurately modeling the underlying physical processes is crucial for predicting system behavior and designing effective interventions. Yet real-world systems exhibit pronounced input (or system) variability and are observed through noisy, limited data conditions that confound traditional discovery methods that assume fixed-coefficient deterministic models. In this work, we theorize that accounting for system variability together with measurement noise is the key to consistently discover the governing equations underlying dynamical systems. As such, we introduce a stochastic inverse physics-discovery (SIP) framework that treats the unknown coefficients as random variables and infers their posterior distribution by minimizing the Kullback-Leibler divergence between the push-forward of the posterior samples and the empirical data distribution. Benchmarks on four canonical problems -- the Lotka-Volterra predator-prey system (multi- and single-trajectory), the historical Hudson Bay lynx-hare data, the chaotic Lorenz attractor, and fluid infiltration in porous media using low- and high-viscosity liquids -- show that SIP consistently identifies the correct equations and lowers coefficient root-mean-square error by an average of 82\% relative to the Sparse Identification of Nonlinear Dynamics (SINDy) approach and its Bayesian variant. The resulting posterior distributions yield 95\% credible intervals that closely track the observed trajectories, providing interpretable models with quantified uncertainty. SIP thus provides a robust, data-efficient approach for consistent physics discovery in noisy, variable, and data-limited settings.