Extremely Low Bit Neural Network: Squeeze the Last Bit Out with ADMM
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Abstract (arXiv)
Although deep learning models are highly effective for various learning tasks, their high computational costs prohibit the deployment to scenarios where either memory or computational resources are limited. In this paper, we focus on compressing and accelerating deep models with network weights represented by very small numbers of bits, referred to as extremely low bit neural network. We model this problem as a discretely constrained optimization problem. Borrowing the idea from Alternating Direction Method of Multipliers (ADMM), we decouple the continuous parameters from the discrete constraints of network, and cast the original hard problem into several subproblems. We propose to solve these subproblems using extragradient and iterative quantization algorithms that lead to considerably faster convergency compared to conventional optimization methods. Extensive experiments on image recognition and object detection verify that the proposed algorithm is more effective than state-of-the-art approaches when coming to extremely low bit neural network.
Key facts. Cited by 61 papers in the map (data through 14 Oct 2026). First posted on arXiv 24 Jul 2017.
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Citing papers per year: 2021: 21; 2022: 15; 2023: 9; 2024: 5; 2025: 6; 2026: 5.
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- 2022The case for 4-bit precision: k-bit Inference Scaling Lawscited by 251
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- 2023Estimator Meets Equilibrium Perspective: A Rectified Straight Through Estimator for Binary Neural Networks Trainingcited by 19
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- 2026NanoQuant: Efficient Sub-1-Bit Quantization of Large Language Models6 Feb 2026
- 2026Sherry: Hardware-Efficient 1.25-Bit Ternary Quantization via Fine-grained Sparsification12 Jan 2026
- 2025SSplain: Sparse and Smooth Explainer for Retinopathy of Prematurity Classification8 Dec 2025
- 2025Tequila: Trapping-free Ternary Quantization for Large Language Models28 Sep 2025
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