Publications (36)
What's the Magic Word? A Control Theory of LLM Prompting
Aman Bhargava, Cameron Witkowski, Shi-Zhuo Looi +1
Prompt engineering is crucial for deploying LLMs but is poorly understood mathematically. We formalize LLM systems as a class of discrete stochastic dynamical systems to explore pr…
Geometry-Dependent Defect Merging Induces Bifurcated Dynamics in Active Networks
Fan Yang, Shichen Liu, Hao Wang +3
Cytoskeletal networks can repair defects to maintain structural integrity. However, the mechanisms and dynamics of defect merging remain poorly understood. Here we report a geometr…
Economic Evaluation of LLMs
Michael J. Zellinger, Matt Thomson
Practitioners often navigate LLM performance trade-offs by plotting Pareto frontiers of optimal accuracy-cost trade-offs. However, this approach offers no way to compare between LL…
Signaling receptor localization maximizes cellular information acquisition in spatially-structured, natural environments
Zitong Jerry Wang, Matt Thomson
Cells in natural environments like tissue or soil sense and respond to extracellular ligands with intricately structured and non-monotonic spatial distributions that are sculpted b…
Boundaries Program Deformation in Isolated Active Networks
Zixiang Lin, Shichen Liu, Shahriar Shadkhoo +9
Cellular structures must organize themselves within strict physical constraints, operating with finite resources and well-defined boundaries. Classical systems demonstrate only pas…
Motor-driven microtubule diffusion in a photobleached dynamical coordinate system
Soichi Hirokawa, Heun Jin Lee, Rachel A Banks +4
Motor-driven cytoskeletal remodeling in cellular systems can often be accompanied by a diffusive-like effect at local scales, but distinguishing the contributions of the ordering p…