Diferenciando o Não Diferenciável: Investigando problemas na diferenciação da ReLU no treinamento de modelos de Aprendizado Profundo

Activation functions are necessary for deep learning models to beable to represent non-linear relationships. Their derivative is requiredduring training, however, many non differentiable activationfunctions are commonly used in neural networks, such as the RectifiedLinear Unit (ReLU) and its variants. This paper discusses theimpact of non differentiability on activation functions during thetraining phase, and how these functions compare to differentiablealternatives. To analyse this problem, we trained neural networksin an image classification problem using various activation functions.We showed that non-differentiable points occur rarely duringtraining, especially in deep models, and have little to no negativeimpact in a model’s performance.

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Publication Details

Journal
Anais do Computer on the Beach
Published
2025-05-27
DOI
https://doi.org/10.14210/cotb.v16.p069-075
Primary Topic
Business and Management Studies
Type
article
Field-Weighted Citation Impact
0.00
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article

Diferenciando o Não Diferenciável: Investigando problemas na diferenciação da ReLU no treinamento de modelos de Aprendizado Profundo

Roberto Sprengel Minozzo Tomchak, Lucas Garcia Pedroso, Paulo Ricardo Lisboa de Almeida
Anais do Computer on the Beach
Business and Management Studies
article

Diferenciando o Não Diferenciável: Investigando problemas na diferenciação da ReLU no treinamento de modelos de Aprendizado Profundo

Roberto Sprengel Minozzo Tomchak, Lucas Garcia Pedroso, Paulo Ricardo Lisboa de Almeida
article en

Abstract

Activation functions are necessary for deep learning models to beable to represent non-linear relationships. Their derivative is requiredduring training, however, many non differentiable activationfunctions are commonly used in neural networks, such as the RectifiedLinear Unit (ReLU) and its variants. This paper discusses theimpact of non differentiability on activation functions during thetraining phase, and how these functions compare to differentiablealternatives. To analyse this problem, we trained neural networksin an image classification problem using various activation functions.We showed that non-differentiable points occur rarely duringtraining, especially in deep models, and have little to no negativeimpact in a model’s performance.

Anais do Computer on the Beach
Universidade Federal do Paraná (BR)
Openalex Percentile: Top 88%
Business and Management Studies
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