Freedom PreethaminAutonomous AgentsThe Scale and Complexity of Protein-Ligand Binding: A Mathematical Perspective on OOD ErrorsThe problem of protein-ligand binding lies at the intersection of biology, chemistry, and mathematics, presenting a challenge of staggering…3h ago3h ago

Freedom PreethaminAutonomous AgentsExploring the Challenges of Protein-Ligand Binding Predictions in AI Through Leash Bio’s BELKA…I’ve been following developments in the field of protein-binding affinity for some time (even though my focus is Genomics), driven by a…8h ago8h ago

Freedom PreethaminAutonomous AgentsLimitations of LLMs in Combinatorial OptimizationIn a recent conversation with postdoctoral math grads, we discussed the capabilities and limitations of Large Language Models (LLMs) in…2d ago2d ago

Freedom PreethaminMathematical MusingsComparing Complexity in Physics and Biology From a Math PerspectiveOver the weekend, I engaged in a discussion with postdoctoral math students about how to approach the inherent complexity in different…4d ago14d ago1

Freedom PreethaminThe SimulacrumThe Cost of Cynicism: Intellectual Posturing and the Rise of Antipathy5d ago15d ago1

Freedom PreethaminMathematical MusingsExploring Nonlocal Interactions through Choquard Equations: An Easy Math IntroPartial differential equations (PDEs) are powerful tools that help us understand how various quantities evolve over space and time. From…6d ago6d ago

Freedom PreethaminAutonomous AgentsMamba vs. Weighted Choquard: Comparative Analysis of Non-local Influence ModelsIn this paper I want to present a mathematical comparison between the Mamba (Selective Structured State Space Model) and my research on…Aug 9Aug 9

Freedom PreethaminAutonomous AgentsPart 5 — Integrating the Weighted Choquard Equation with Fourier Neural OperatorsIn recent years, there has been significant interest in leveraging machine learning techniques to solve complex partial differential…Aug 8Aug 8

Freedom PreethaminAutonomous AgentsPart 4 — Non Local Interactions in AGI through Weighted Choquard EquationIn the quest to build Artificial General Intelligence (AGI) models, one of the most pressing challenges is to endow machines with the…Aug 7Aug 7

Freedom PreethaminMeta MultiomicsWhy Biology Needs Physics and MathematicsThe idea that biology is fundamentally separate from physics, and therefore less suited to mathematical modeling, is a misconception. I…Aug 31Aug 31