Dr Nicolas Boulle

I am a Research Fellow in Numerical Analysis.

My research interests lie at the intersection between numerical analysis and deep learning. I primarily focus on the mathematical foundations of deep learning to discover mathematical models (partial differential equations) from data, and the development of novel and theoretically justified numerical techniques.

I am a member of the Scientific Artificial Intelligence (SciAI) Center supported by the Office of Naval Research (ONR).

Publications

Rational neural networks

N Boullé, Y Nakatsukasa, A Townsend

– Advances in Neural Information Processing Systems

(2020)

2020-December,

(doi: 10.17863/CAM.92936)

Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation

EG Charalampidis, N Boullé, PE Farrell, PG Kevrekidis

(2019)

(link to publication)

Computing with functions in the ball

N Boullé, A Townsend

(2019)

(link to publication)

Classification of chaotic time series with deep learning

N Boullé, V Dallas, Y Nakatsukasa, D Samaddar

(2019)

(link to publication)

Cambridge Image Analysis

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