13 citations · 27 across the 16 of their papers we have counts for
20 papers
A Polytopal Realization of Higher-Categorical Associahedra
Spencer Backman, Nathaniel Bottman, Daria Poliakova
We describe a polytopal realization of categorical -associahedra. The normal fan of this polytopal realization is a modification of the authors' velocity fan and was found by Op…
Operadic consistency: a label-free signal for compositional reasoning failures in LLMs
Nathaniel Bottman, Yinhong Liu, Kyle Richardson
Detecting LLM reasoning failures at inference time without ground-truth labels has motivated a wide range of confidence baselines, including self-consistency, semantic entropy, and…
Operads for compositional reasoning in LLMs
Nathaniel Bottman, Kyle Richardson
Question decomposition, i.e. breaking a complex query into simpler sub-queries whose answers are composed to produce a final answer, is a widely used strategy for improving LLM rea…
Adiabatic Fredholm Theory
Nathaniel Bottman, Katrin Wehrheim
We develop a robust functional analytic framework for adiabatic limits. This framework consist of a notion of adiabatic Fredholm family, several possible regularity properties, and…
Foundations of -categories: from flow to linear
Nathaniel Bottman, Katrin Wehrheim
This paper provides a blueprint for the construction of a symplectic -category, . We develop two ways of encoding the information in --…
The focus-focus addition graph is immersed
Mohammed Abouzaid, Nathaniel Bottman, Yunpeng Niu
For a symplectic 4-manifold equipped with a singular Lagrangian fibration with a section, the natural fiberwise addition given by the local Hamiltonian flow is well-defined on…