29 citations · 29 across the 7 of their papers we have counts for
9 papers
QC-Stark: A Multi-Task Benchmark Revealing Capability Dissociations in LLMs Evaluated on Quantum Computing Tasks
Pranav Gupta
We introduce QC-Stark, a benchmark for evaluating large language models (LLMs) on 11 quantum computing (QC) tasks, spanning circuit construction, debugging, compilation, error corr…
Explicit Second-Order Bounds on the Domain of Validity for Lyapunov-Schmidt Reduction
Pranav Gupta, Ravi Banavar, Anastasia Bizyaeva
Lyapunov-Schmidt reduction is a widely used dimensionality reduction technique for bifurcation analysis in high-dimensional systems. While classical formulations guarantee the loca…
Two-player Alternate Uses Test: A Controlled Testbed for Interactive Human-AI and Human-Human Co-Creation
Babak Hemmatian, Anita Keshmirian, Yijun Lin +9
Controlled research on AI ideation typically compares independent agents, while field studies of human-AI collaboration sacrifice experimental control. We introduce a controlled, t…
Bounds of Validity for Bifurcations of Equilibria in a Class of Networked Dynamical Systems
Pranav Gupta, Ravi Banavar, Anastasia Bizyaeva
Local bifurcation analysis plays a central role in understanding qualitative transitions in networked nonlinear dynamical systems, including dynamic neural network and opinion dyna…
Discrete non-abelian X-ray transforms
Pranav Gupta, Roman Novikov
We define a discrete version of the non-abelian X-ray transform, going back in particular to Manakov, Zakharov (1981) and Strichartz (1982). We extend to this transform non-overdet…
CueBuddy: helping non-native English speakers navigate English-centric STEM education
Pranav Gupta
Students across the world in STEM classes, especially in the Global South, fall behind their peers who are more fluent in English, despite being at par with them in terms of scient…
Estimates on the domain of validity for Lyapunov-Schmidt reduction
Pranav Gupta, Anastasia Bizyaeva, Ravi Banavar
Lyapunov-Schmidt reduction is a dimensionality reduction technique in nonlinear systems analysis that is commonly utilised in the study of bifurcation problems in high-dimensional…
Testing LLM performance on the Physics GRE: some observations
Pranav Gupta
With the recent developments in large language models (LLMs) and their widespread availability through open source models and/or low-cost APIs, several exciting products and applic…
An active inference model of collective intelligence
Rafael Kaufmann, Pranav Gupta, Jacob Taylor
To date, formal models of collective intelligence have lacked a plausible mathematical description of the relationship between local-scale interactions between highly autonomous su…