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Updated: Oct 11, 2025

Deep Neural Networks for Image-Based Dietary Assessment
Published on: March 13, 2021
Understanding and mitigating noise in trained deep neural networks.
Nadezhda Semenova1, Laurent Larger2, Daniel Brunner2
1Département d'Optique P. M. Duffieux, Institut FEMTO-ST, Université Bourgogne-Franche-Comté CNRS UMR 6174, Besançon, France; Institute of Physics, Saratov State University, 83 Astrakhanskaya str., 410012 Saratov, Russia.
Noise accumulation in analog deep neural networks is manageable. Novel hardware can be designed to be noise-resilient by ensuring neuron activation functions have a slope less than unity.
Area of Science:
- Computer Science
- Artificial Intelligence
- Hardware Engineering
Background:
- Deep neural networks (DNNs) have advanced AI capabilities, driven by specialized hardware like GPUs and TPUs.
- Current hardware emulates neural networks using binary computing, leading to high energy consumption and limited speed.
- Analog hardware offers potential for parallel and faster computation but faces challenges with neuron noise and its accumulation.
Purpose of the Study:
- To analyze noise propagation in deep neural networks with noisy nonlinear neurons in fully connected layers.
- To develop analytical methods for predicting noise levels in trained deep neural networks.
- To identify design criteria for noise-resilient analog neural network hardware.
Main Methods:
- Investigated additive, multiplicative, correlated, and uncorrelated noise in DNNs.
- Developed analytical models to predict noise propagation in symmetric and backpropagation-trained DNNs.
- Analyzed the impact of neuron activation function slopes on noise accumulation.
Main Results:
- Noise accumulation in deep neural networks is generally bounded and does not indefinitely degrade the signal-to-noise ratio with increased layers.
- Noise accumulation can be effectively suppressed by using neuron activation functions with a slope smaller than unity.
- Established a framework for understanding noise in analog fully connected deep neural networks.
Conclusions:
- Analog neural network hardware is feasible, with noise accumulation being a predictable and manageable challenge.
- Designing neural network hardware with specific activation function properties can mitigate noise issues.
- This research provides criteria for engineering noise-resilient analog neural network systems.
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