Noisy Machines: Understanding Noisy Neural Networks and Enhancing Robustness to Analog Hardware Errors Using Distillation
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Abstract (arXiv)
The success of deep learning has brought forth a wave of interest in computer hardware design to better meet the high demands of neural network inference. In particular, analog computing hardware has been heavily motivated specifically for accelerating neural networks, based on either electronic, optical or photonic devices, which may well achieve lower power consumption than conventional digital electronics. However, these proposed analog accelerators suffer from the intrinsic noise generated by their physical components, which makes it challenging to achieve high accuracy on deep neural networks. Hence, for successful deployment on analog accelerators, it is essential to be able to train deep neural networks to be robust to random continuous noise in the network weights, which is a somewhat new challenge in machine learning. In this paper, we advance the understanding of noisy neural networks. We outline how a noisy neural network has reduced learning capacity as a result of loss of mutual information between its input and output. To combat this, we propose using knowledge distillation combined with noise injection during training to achieve more noise robust networks, which is demonstrated experimentally across different networks and datasets, including ImageNet. Our method achieves models with as much as two times greater noise tolerance compared with the previous best attempts, which is a significant step towards making analog hardware practical for deep learning.
Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). First posted on arXiv 14 Jan 2020.
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Citing papers per year: 2021: 3; 2022: 4; 2023: 4; 2024: 2; 2025: 2; 2026: 2.
17 papers.
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- 2023Hardware-aware training for large-scale and diverse deep learning inference workloads using in-memory computing-based acceleratorscited by 42
- 2021Neural Network Compression for Noisy Storage Devicescited by 8
- 2023Quantum-limited stochastic optical neural networks operating at a few quanta per activationcited by 8
- 2021Denoising Noisy Neural Networks: A Bayesian Approach with Compensationcited by 4
- 2025Analog Foundation Modelscited by 3
- 2022Effect of Batch Normalization on Noise Resistant Property of Deep Learning Modelscited by 2
- 2022Walking Noise: On Layer-Specific Robustness of Neural Architectures against Noisy Computations and Associated Characteristic Learning Dynamicscited by 2
- 2023One-Shot Online Testing of Deep Neural Networks Based on Distribution Shift Detectioncited by 2
- 2025Variance-Aware Noisy Training: Hardening DNNs against Unstable Analog Computationscited by 2
- 2023Sensitivity-Aware Finetuning for Accuracy Recovery on Deep Learning Hardwarecited by 1
- 2021Variability-Aware Training and Self-Tuning of Highly Quantized DNNs for Analog PIMcited by 0
- 2022Impact of L1 Batch Normalization on Analog Noise Resistant Property of Deep Learning Modelscited by 0
5 more
- 2022Impact of Learning Rate on Noise Resistant Property of Deep Learning Modelscited by 0
- 2024Implications of Noise in Resistive Memory on Deep Neural Networks for Image Classificationcited by 0
- 2024Few-Shot Testing: Estimating Uncertainty of Memristive Deep Neural Networks Using One Bayesian Test Vectorcited by 0
- 2026Beyond Noise: Understanding and Overcoming Temperature Effects in Analog DNN Inferencecited by 0
- 2026Depth Laws for the Precision Floor of Trained Neural Networks: Amplification, Residual Scaling, and a Quantization-Aware Training Paradoxcited by 0
- 2026Depth Laws for the Precision Floor of Trained Neural Networks: Amplification, Residual Scaling, and a Quantization-Aware Training Paradox25 Sep 2026
- 2026Beyond Noise: Understanding and Overcoming Temperature Effects in Analog DNN Inference14 Sep 2026
- 2025Analog Foundation Models14 May 2025
- 2025Variance-Aware Noisy Training: Hardening DNNs against Unstable Analog Computations20 Mar 2025
- 2024Few-Shot Testing: Estimating Uncertainty of Memristive Deep Neural Networks Using One Bayesian Test Vector29 May 2024
- 2024Implications of Noise in Resistive Memory on Deep Neural Networks for Image Classification11 Jan 2024
- 2023Quantum-limited stochastic optical neural networks operating at a few quanta per activation28 Jul 2023
- 2023Sensitivity-Aware Finetuning for Accuracy Recovery on Deep Learning Hardware5 Jun 2023
- 2023One-Shot Online Testing of Deep Neural Networks Based on Distribution Shift Detection16 May 2023
- 2023Hardware-aware training for large-scale and diverse deep learning inference workloads using in-memory computing-based accelerators16 Feb 2023
- 2022Walking Noise: On Layer-Specific Robustness of Neural Architectures against Noisy Computations and Associated Characteristic Learning Dynamics20 Dec 2022
- 2022Effect of Batch Normalization on Noise Resistant Property of Deep Learning Models15 May 2022
5 more
- 2022Impact of Learning Rate on Noise Resistant Property of Deep Learning Models8 May 2022
- 2022Impact of L1 Batch Normalization on Analog Noise Resistant Property of Deep Learning Models7 May 2022
- 2021Variability-Aware Training and Self-Tuning of Highly Quantized DNNs for Analog PIM11 Nov 2021
- 2021Denoising Noisy Neural Networks: A Bayesian Approach with Compensation22 May 2021
- 2021Neural Network Compression for Noisy Storage Devices15 Feb 2021
- 2023Hardware-aware training for large-scale and diverse deep learning inference workloads using in-memory computing-based acceleratorscited by 42
- 2021Neural Network Compression for Noisy Storage Devicescited by 8
- 2023Quantum-limited stochastic optical neural networks operating at a few quanta per activationcited by 8
- 2021Denoising Noisy Neural Networks: A Bayesian Approach with Compensationcited by 4
- 2025Analog Foundation Modelscited by 3
- 2022Effect of Batch Normalization on Noise Resistant Property of Deep Learning Modelscited by 2
- 2022Walking Noise: On Layer-Specific Robustness of Neural Architectures against Noisy Computations and Associated Characteristic Learning Dynamicscited by 2
- 2023One-Shot Online Testing of Deep Neural Networks Based on Distribution Shift Detectioncited by 2
- 2025Variance-Aware Noisy Training: Hardening DNNs against Unstable Analog Computationscited by 2
- 2023Sensitivity-Aware Finetuning for Accuracy Recovery on Deep Learning Hardwarecited by 1
- 2021Variability-Aware Training and Self-Tuning of Highly Quantized DNNs for Analog PIMcited by 0
- 2022Impact of L1 Batch Normalization on Analog Noise Resistant Property of Deep Learning Modelscited by 0
12 most cited of 17 All 17 (JSON)
- 2026Depth Laws for the Precision Floor of Trained Neural Networks: Amplification, Residual Scaling, and a Quantization-Aware Training Paradox25 Sep 2026
- 2026Beyond Noise: Understanding and Overcoming Temperature Effects in Analog DNN Inference14 Sep 2026
- 2025Analog Foundation Models14 May 2025
- 2025Variance-Aware Noisy Training: Hardening DNNs against Unstable Analog Computations20 Mar 2025
- 2024Few-Shot Testing: Estimating Uncertainty of Memristive Deep Neural Networks Using One Bayesian Test Vector29 May 2024
- 2024Implications of Noise in Resistive Memory on Deep Neural Networks for Image Classification11 Jan 2024
- 2023Quantum-limited stochastic optical neural networks operating at a few quanta per activation28 Jul 2023
- 2023Sensitivity-Aware Finetuning for Accuracy Recovery on Deep Learning Hardware5 Jun 2023
- 2023One-Shot Online Testing of Deep Neural Networks Based on Distribution Shift Detection16 May 2023
- 2023Hardware-aware training for large-scale and diverse deep learning inference workloads using in-memory computing-based accelerators16 Feb 2023
- 2022Walking Noise: On Layer-Specific Robustness of Neural Architectures against Noisy Computations and Associated Characteristic Learning Dynamics20 Dec 2022
- 2022Effect of Batch Normalization on Noise Resistant Property of Deep Learning Models15 May 2022
12 newest of 17 All 17 (JSON)