4 citations · 4 across the 11 of their papers we have counts for
13 papers
Reinforcement Learning In Partially Verifiable Environments for Colon Cancer Treatment Planning
Li-Ching Chen, Andrés Franco Valiente, Yuta Ishiyama +7
Clinical decision-making is a sequential process of information collection, clinical inference, and forecasting under partial observability, often without a uniquely correct treatm…
Odd Diffusion in Three-Dimensional Isotropic Media
Viola Zixin Zhao, Andres Franco Valiente, David T. Limmer
Odd diffusion is a hallmark of chiral active matter, generating currents transverse to density gradients. Existing theories rely on a linear antisymmetric transport coefficient tha…
Interpreting the Synchronization Gap: The Hidden Mechanism Inside Diffusion Transformers
Emil Albrychiewicz, Andrés Franco Valiente, Li-Ching Chen +1
Recent theoretical models of diffusion processes, conceptualized as coupled Ornstein-Uhlenbeck systems, predict a hierarchy of interaction timescales, and consequently, the existen…
Dynamical Regimes of Multimodal Diffusion Models
Emil Albrychiewicz, Andrés Franco Valiente, Li-Ching Chen
Diffusion based generative models have achieved unprecedented fidelity in synthesizing high dimensional data, yet the theoretical mechanisms governing multimodal generation remain…
Nil-Equivariant Tropological Sigma Models on Filtered Geometries
Emil Albrychiewicz, Andrés Franco Valiente, Christopher Stites
We investigate the behavior of tropological (tropical topological) sigma models on higher dimensional target spaces and show that higher dimensional spaces explicitly admit nested…
Hypoellipticity of the Asymptotic Bismut Superconnection on Contact Manifolds
Jesus Sanchez, Andres Franco Valiente
Given a contact sub-Riemannian manifold one obtains a non-integrable splitting of the tangent bundle into the directions along the contact distribution and the Reeb field. We gener…
Notes on the Quantization of Tropological Yang Mills Theory
Emil Albrychiewicz, Andrés Franco Valiente, Viola Zixin Zhao
We continue our investigation into anisotropic topological field theories which arise from a tropical limit of conventional isotropic topological field theories. We analyze both th…
Tropical BF Theory and Tropical Limits of TQFTs
Emil Albrychiewicz, Andrés Franco Valiente
We study anisotropic scaling limits of topological field theories using tropical geometry. The resulting topological field theories are characterized by foliated geometries and are…
Tropical Limits of Dirac Operators
Emil Albrychiewicz, Andrés Franco Valiente, Vi Hong
We explore the tropical analog of spinors by representing tropical geometries as foliated Riemann surfaces endowed with degenerate complex structures. We investigate tropical limit…
A Tropical Look at Coisotropic Branes and Quantization
Emil Albrychiewicz, Andrés Franco Valiente, Vi Hong
We continue our investigation of tropical branes by exploring the tropicalization of topological sigma models with boundaries. We show that the tropical limit naturally decomposes…
Analytic Torsion from Chern-Simons theory via the -theory on Dicyclic Orbifolds of
Emil Albrychiewicz, Andrés Franco Valiente, Ori Ganor
The Witten index of the -theory compactified on spaces of the form , with a freely acting group , and with external string sources implemented via timeli…
Ground States of Class S Theory on ADE Singularities and dual Chern-Simons theory
Emil Albrychiewicz, Andrés Franco Valiente, Ori J. Ganor +1
In radial quantization, the ground states of a gauge theory on ADE singularities are characterized by flat connections that are maps from to the gauge group. W…
Tropological Sigma Models
Emil Albrychiewicz, Kai-Isaak Ellers, Andrés Franco Valiente +1
With the use of mathematical techniques of tropical geometry, it was shown by Mikhalkin some twenty years ago that certain Gromov-Witten invariants associated with topological quan…