Search Results for author: Tianji Cai

Found 3 papers, 1 papers with code

Structures of Neural Network Effective Theories

no code implementations3 May 2023 Ian Banta, Tianji Cai, Nathaniel Craig, Zhengkang Zhang

We develop a diagrammatic approach to effective field theories (EFTs) corresponding to deep neural networks at initialization, which dramatically simplifies computations of finite-width corrections to neuron statistics.

The Linearized Hellinger--Kantorovich Distance

1 code implementation17 Feb 2021 Tianji Cai, Junyi Cheng, Bernhard Schmitzer, Matthew Thorpe

Working with the local linearization and the corresponding embeddings allows for the advantages of the Euclidean setting, such as faster computations and a plethora of data analysis tools, whilst still enjoying approximately the descriptive power of the Hellinger--Kantorovich metric.

Optimization and Control

Linearized Optimal Transport for Collider Events

no code implementations19 Aug 2020 Tianji Cai, Junyi Cheng, Katy Craig, Nathaniel Craig

We introduce an efficient framework for computing the distance between collider events using the tools of Linearized Optimal Transport (LOT).

BIG-bench Machine Learning Jet Tagging

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