355 citations · 1.6k across the 54 of their papers we have counts for
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Explicit regularization and implicit bias in deep network classifiers trained with the square loss
Tomaso Poggio, Qianli Liao
Deep ReLU networks trained with the square loss have been observed to perform well in classification tasks. We provide here a theoretical justification based on analysis of the ass…
CUDA-Optimized real-time rendering of a Foveated Visual System
Elian Malkin, Arturo Deza, Tomaso Poggio
The spatially-varying field of the human visual system has recently received a resurgence of interest with the development of virtual reality (VR) and neural networks. The computat…
Biologically Inspired Mechanisms for Adversarial Robustness
Manish V. Reddy, Andrzej Banburski, Nishka Pant +1
A convolutional neural network strongly robust to adversarial perturbations at reasonable computational and performance cost has not yet been demonstrated. The primate visual ventr…
For interpolating kernel machines, minimizing the norm of the ERM solution minimizes stability
Akshay Rangamani, Lorenzo Rosasco, Tomaso Poggio
We study the average $\mbox{CV}_{loo}$ stability of kernel ridge-less regression and derive corresponding risk bounds. We show that the interpolating solution with minimum norm min…
Hierarchically Compositional Tasks and Deep Convolutional Networks
Arturo Deza, Qianli Liao, Andrzej Banburski +1
The main success stories of deep learning, starting with ImageNet, depend on deep convolutional networks, which on certain tasks perform significantly better than traditional shall…