Minimum Energy Quantized Neural Networks
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Abstract (arXiv)
This work targets the automated minimum-energy optimization of Quantized Neural Networks (QNNs) - networks using low precision weights and activations. These networks are trained from scratch at an arbitrary fixed point precision. At iso-accuracy, QNNs using fewer bits require deeper and wider network architectures than networks using higher precision operators, while they require less complex arithmetic and less bits per weights. This fundamental trade-off is analyzed and quantified to find the minimum energy QNN for any benchmark and hence optimize energy-efficiency. To this end, the energy consumption of inference is modeled for a generic hardware platform. This allows drawing several conclusions across different benchmarks. First, energy consumption varies orders of magnitude at iso-accuracy depending on the number of bits used in the QNN. Second, in a typical system, BinaryNets or int4 implementations lead to the minimum energy solution, outperforming int8 networks up to 2-10x at iso-accuracy. All code used for QNN training is available from https://github.com/BertMoons.
Key facts. Cited by 21 papers in the map (data through 14 Oct 2026). First posted on arXiv 1 Nov 2017.
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Citing papers per year: 2021: 7; 2022: 5; 2023: 1; 2024: 2; 2025: 3; 2026: 3.
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- 2021VS-Quant: Per-vector Scaled Quantization for Accurate Low-Precision Neural Network Inferencecited by 64
- 2021hls4ml: An Open-Source Codesign Workflow to Empower Scientific Low-Power Machine Learning Devicescited by 62
- 2021Ps and Qs: Quantization-aware pruning for efficient low latency neural network inferencecited by 31
- 2021Charged particle tracking via edge-classifying interaction networkscited by 19
- 2022DeltaCNN: End-to-End CNN Inference of Sparse Frame Differences in Videoscited by 18
- 2022Green, Quantized Federated Learning over Wireless Networks: An Energy-Efficient Designcited by 15
- 2021Accelerating Recurrent Neural Networks for Gravitational Wave Experimentscited by 12
- 2021On the Tradeoff between Energy, Precision, and Accuracy in Federated Quantized Neural Networkscited by 10
- 2023Tailor: Altering Skip Connections for Resource-Efficient Inferencecited by 6
- 2022MotionDeltaCNN: Sparse CNN Inference of Frame Differences in Moving Camera Videoscited by 5
- 2026Understanding Efficiency: Quantization, Batching, and Serving Strategies in LLM Energy Usecited by 4
- 2024An Efficient Matrix Multiplication Algorithm for Accelerating Inference in Binary and Ternary Neural Networkscited by 3
9 more
- 2022AskewSGD : An Annealed interval-constrained Optimisation method to train Quantized Neural Networkscited by 2
- 2022A Learning Framework for Bandwidth-Efficient Distributed Inference in Wireless IoTcited by 1
- 2025Compression of Site-Specific Deep Neural Networks for Massive MIMO Precodingcited by 1
- 2025BitHEP -- The Limits of Low-Precision ML in HEPcited by 1
- 2025Link-Aware Energy-Frugal Continual Learning for Fault Detection in IoT Networkscited by 1
- 2021Ordinal Poolingcited by 0
- 2024Robust Iterative Value Conversion: Deep Reinforcement Learning for Neurochip-driven Edge Robotscited by 0
- 2026A Low-Complexity Plug-and-Play Deep Learning Model for Generalizable Massive MIMO Precodingcited by 0
- 2026GQ-FSL: Green Quantized Federated Split Learning Framework for Wireless Edge Networkscited by 0
- 2026GQ-FSL: Green Quantized Federated Split Learning Framework for Wireless Edge Networks31 Jul 2026
- 2026Understanding Efficiency: Quantization, Batching, and Serving Strategies in LLM Energy Use29 Jan 2026
- 2026A Low-Complexity Plug-and-Play Deep Learning Model for Generalizable Massive MIMO Precoding29 Jan 2026
- 2025Link-Aware Energy-Frugal Continual Learning for Fault Detection in IoT Networks15 Dec 2025
- 2025BitHEP -- The Limits of Low-Precision ML in HEP4 Apr 2025
- 2025Compression of Site-Specific Deep Neural Networks for Massive MIMO Precoding12 Feb 2025
- 2024An Efficient Matrix Multiplication Algorithm for Accelerating Inference in Binary and Ternary Neural Networks10 Nov 2024
- 2024Robust Iterative Value Conversion: Deep Reinforcement Learning for Neurochip-driven Edge Robots23 Aug 2024
- 2023Tailor: Altering Skip Connections for Resource-Efficient Inference18 Jan 2023
- 2022AskewSGD : An Annealed interval-constrained Optimisation method to train Quantized Neural Networks7 Nov 2022
- 2022MotionDeltaCNN: Sparse CNN Inference of Frame Differences in Moving Camera Videos18 Oct 2022
- 2022Green, Quantized Federated Learning over Wireless Networks: An Energy-Efficient Design19 Jul 2022
9 more
- 2022A Learning Framework for Bandwidth-Efficient Distributed Inference in Wireless IoT17 Mar 2022
- 2022DeltaCNN: End-to-End CNN Inference of Sparse Frame Differences in Videos8 Mar 2022
- 2021On the Tradeoff between Energy, Precision, and Accuracy in Federated Quantized Neural Networks15 Nov 2021
- 2021Ordinal Pooling3 Sep 2021
- 2021Accelerating Recurrent Neural Networks for Gravitational Wave Experiments26 Jun 2021
- 2021Charged particle tracking via edge-classifying interaction networks30 Mar 2021
- 2021hls4ml: An Open-Source Codesign Workflow to Empower Scientific Low-Power Machine Learning Devices9 Mar 2021
- 2021Ps and Qs: Quantization-aware pruning for efficient low latency neural network inference22 Feb 2021
- 2021VS-Quant: Per-vector Scaled Quantization for Accurate Low-Precision Neural Network Inference8 Feb 2021
- 2021VS-Quant: Per-vector Scaled Quantization for Accurate Low-Precision Neural Network Inferencecited by 64
- 2021hls4ml: An Open-Source Codesign Workflow to Empower Scientific Low-Power Machine Learning Devicescited by 62
- 2021Ps and Qs: Quantization-aware pruning for efficient low latency neural network inferencecited by 31
- 2021Charged particle tracking via edge-classifying interaction networkscited by 19
- 2022DeltaCNN: End-to-End CNN Inference of Sparse Frame Differences in Videoscited by 18
- 2022Green, Quantized Federated Learning over Wireless Networks: An Energy-Efficient Designcited by 15
- 2021Accelerating Recurrent Neural Networks for Gravitational Wave Experimentscited by 12
- 2021On the Tradeoff between Energy, Precision, and Accuracy in Federated Quantized Neural Networkscited by 10
- 2023Tailor: Altering Skip Connections for Resource-Efficient Inferencecited by 6
- 2022MotionDeltaCNN: Sparse CNN Inference of Frame Differences in Moving Camera Videoscited by 5
- 2026Understanding Efficiency: Quantization, Batching, and Serving Strategies in LLM Energy Usecited by 4
- 2024An Efficient Matrix Multiplication Algorithm for Accelerating Inference in Binary and Ternary Neural Networkscited by 3
12 most cited of 20 All 20 (JSON)
- 2026GQ-FSL: Green Quantized Federated Split Learning Framework for Wireless Edge Networks31 Jul 2026
- 2026Understanding Efficiency: Quantization, Batching, and Serving Strategies in LLM Energy Use29 Jan 2026
- 2026A Low-Complexity Plug-and-Play Deep Learning Model for Generalizable Massive MIMO Precoding29 Jan 2026
- 2025Link-Aware Energy-Frugal Continual Learning for Fault Detection in IoT Networks15 Dec 2025
- 2025BitHEP -- The Limits of Low-Precision ML in HEP4 Apr 2025
- 2025Compression of Site-Specific Deep Neural Networks for Massive MIMO Precoding12 Feb 2025
- 2024An Efficient Matrix Multiplication Algorithm for Accelerating Inference in Binary and Ternary Neural Networks10 Nov 2024
- 2023Tailor: Altering Skip Connections for Resource-Efficient Inference18 Jan 2023
- 2022AskewSGD : An Annealed interval-constrained Optimisation method to train Quantized Neural Networks7 Nov 2022
- 2022MotionDeltaCNN: Sparse CNN Inference of Frame Differences in Moving Camera Videos18 Oct 2022
- 2022Green, Quantized Federated Learning over Wireless Networks: An Energy-Efficient Design19 Jul 2022
- 2022A Learning Framework for Bandwidth-Efficient Distributed Inference in Wireless IoT17 Mar 2022
12 newest of 20 All 20 (JSON)