4 papers
Anticyclotomic Iwasawa theory of CM elliptic curves at ramified primes
Ashay Burungale, Shinichi Kobayashi, Kentaro Nakamura +1
We propose an integral framework for the anticyclotomic Iwasawa theory of CM elliptic curves at primes ramified in the CM field. The -constants of the geometri…
Causal Inference with Generative Artificial Intelligence: Application to Texts as Treatments
Kosuke Imai, Kentaro Nakamura
In this paper, we demonstrate how to enhance the validity of causal inference with unstructured high-dimensional treatments like texts, by leveraging the power of generative Artifi…
Leveraging Generative Artificial Intelligence for Causal Inference with Unstructured Data
Kosuke Imai, Kentaro Nakamura
We introduce GenAI-Powered Inference (GPI), a statistical framework for both causal and predictive inference using unstructured data, including text and images. GPI leverages open-…
A local sign decomposition for symplectic self-dual Galois representations of rank two
Ashay Burungale, Shinichi Kobayashi, Kentaro Nakamura +1
We prove the existence of a new structure on the first Galois cohomology of generic families of symplectic self-dual -adic representations of of rank two (a l…