45 citations · 46 across the 4 of their papers we have counts for
5 papers
Interpolated Adaptive Linear Reduced Order Modeling for Deformation Dynamics
Yutian Tao, Maurizio Chiaramonte, Pablo Fernandez
Linear reduced-order modeling (ROM) is widely used for efficient simulation of deformation dynamics, but its accuracy is often limited by the fixed linearization of the reduced map…
Retrieval-Augmented Generation as Noisy In-Context Learning: A Unified Theory and Risk Bounds
Yang Guo, Yutian Tao, Yifei Ming +2
Retrieval-augmented generation (RAG) has seen many empirical successes in recent years by aiding the LLM with external knowledge. However, its theoretical aspect has remained mostl…
A Symmetric Multigrid-Preconditioned Krylov Subspace Solver for Stokes Equations
Yutian Tao, Eftychios Sifakis
Numerical solution of discrete PDEs corresponding to saddle point problems is highly relevant to physical systems such as Stokes flow. However, scaling up numerical solvers for suc…
Higher-order Topological Hyperbolic Lattices
Yu-Liang Tao, Yong Xu
A hyperbolic lattice allows for any -fold rotational symmetry, in stark contrast to a two-dimensional crystalline material, where only twofold, threefold, fourfold or sixfold ro…
Optimized Processing of Localized Collisions in Projective Dynamics
Qisi Wang, Yutian Tao, Eric Brandt +2
We present a method for the efficient processing of contact and collision in volumetric elastic models simulated using the Projective Dynamics paradigm. Our approach enables intera…