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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

Author

Akhil Veluru

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3 papers indexed here

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Open access Aug 2026

CPU-Based Semi-Lagrangian Advection for Viscous Incompressible Fluids on Adaptive Grids with GPU-Assisted Visualization

The paper proposes an efficient semi-Lagrangian scheme on a CPU for simulating two-dimensional viscous incompressible fluids with GPU-assisted visualisations. We solve the Navier-Stokes equations on a quadtree adaptive grid where certain cells are subdivided if the velocity gradient, along any of the axes, exceeds a ce...

Akhil Veluru · 0 citations
Open access Sep 2026

Synergistic Integration of Linear Logic and Recurrent Neural Networks: A Theoretical Framework for Structured Sequence Modeling

This paper introduces the Linear Logic Recurrent Neural Network (LLRNN), a theoretical framework for sequence modeling that embeds the denotational semantics of linear logic into the operational dynamics of recurrent neural networks. The primary contribution is formal: we define a class of architectures in which the up...

Akhil Veluru · 0 citations
Open access Aug 2026

Optimizing 3D Scene Reconstruction with Differentiable Ray Tracing

A fundamental limitation of classical rendering pipelines is that their discrete, non-differentiable structure makes them unsuitable for gradient-based parameter recovery. This paper presents a differentiable ray tracing framework that directly addresses this gap, enabling end-to-end optimization of object appearance,...

Akhil Veluru · 0 citations

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