Neural collapse with unconstrained features

11/23/2020
by   Dustin G. Mixon, et al.
0

Neural collapse is an emergent phenomenon in deep learning that was recently discovered by Papyan, Han and Donoho. We propose a simple "unconstrained features model" in which neural collapse also emerges empirically. By studying this model, we provide some explanation for the emergence of neural collapse in terms of the landscape of empirical risk.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
10/06/2021

An Unconstrained Layer-Peeled Perspective on Neural Collapse

Neural collapse is a highly symmetric geometric pattern of neural networ...
research
05/06/2021

A Geometric Analysis of Neural Collapse with Unconstrained Features

We provide the first global optimization landscape analysis of Neural Co...
research
05/22/2023

Deep Neural Collapse Is Provably Optimal for the Deep Unconstrained Features Model

Neural collapse (NC) refers to the surprising structure of the last laye...
research
06/11/2022

Memorization-Dilation: Modeling Neural Collapse Under Noise

The notion of neural collapse refers to several emergent phenomena that ...
research
10/05/2017

Porcupine Neural Networks: (Almost) All Local Optima are Global

Neural networks have been used prominently in several machine learning a...
research
03/28/2017

Theory II: Landscape of the Empirical Risk in Deep Learning

Previous theoretical work on deep learning and neural network optimizati...
research
12/18/2022

Unconstrained Traveling Tournament Problem is APX-complete

We show that the Unconstrained Traveling Tournament Problem (UTTP) is AP...

Please sign up or login with your details

Forgot password? Click here to reset