19–21 avr. 2023
Le Bois-Marie
Fuseau horaire Europe/Paris

Learning with Volterra Series (VNNs)

20 avr. 2023, 12:30
30m
Le Bois-Marie

Le Bois-Marie

Centre de conférences Marylin et James Simons 35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Hamid Krim (North Carolina State University)

Description

Machine Learning (ML) has reached an unprecedented performance in various inference problems arising in practice. The sample complexity and that of the model have, however, increasingly emerged as a serious limitation. Given the importance of a number of problems where these issues are central, we have revisited the Conv-net fundamental principle and have reformulated it from a Volterra Series perspective using a polynomial functional paradigm*. We propose a computational Convolutional Network solution which requires no activation function and provides a very competitive inference performance (often better) at a fraction of the sample and model complexity of the most competitive CNN architecture.
* Homogeneous Polynomial Functional were first developed and formalized by Frechet

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