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Training and Inference with Integers in Deep Neural Networks

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arxiv 1802.04680 v1 pith:GQYEQHBY submitted 2018-02-13 cs.LG

classification cs.LG
keywords inferencetrainingdeepintegersbeendiscretelearninglow-bitwidth
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Researches on deep neural networks with discrete parameters and their deployment in embedded systems have been active and promising topics. Although previous works have successfully reduced precision in inference, transferring both training and inference processes to low-bitwidth integers has not been demonstrated simultaneously. In this work, we develop a new method termed as "WAGE" to discretize both training and inference, where weights (W), activations (A), gradients (G) and errors (E) among layers are shifted and linearly constrained to low-bitwidth integers. To perform pure discrete dataflow for fixed-point devices, we further replace batch normalization by a constant scaling layer and simplify other components that are arduous for integer implementation. Improved accuracies can be obtained on multiple datasets, which indicates that WAGE somehow acts as a type of regularization. Empirically, we demonstrate the potential to deploy training in hardware systems such as integer-based deep learning accelerators and neuromorphic chips with comparable accuracy and higher energy efficiency, which is crucial to future AI applications in variable scenarios with transfer and continual learning demands.

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Forward citations

Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Refining Datapath for Microscaling ViTs

    cs.AR 2025-05 conditional novelty 6.0 of 10

    MXInt-based datapath designs put all ViT nonlinear operators on an FPGA at 2-5 bit mantissas, with under 1% ImageNet accuracy loss on DeiT models.

  2. Training High-Performance and Large-Scale Deep Neural Networks with Full 8-bit Integers

    cs.LG 2019-09 conditional novelty 6.0 of 10

    WAGEUBN trains ResNet models on ImageNet using 8-bit integers for weights, activations, gradients, errors, batch normalization, and the Momentum optimizer, with moderate accuracy loss.

  3. QUOTIENT: Two-Party Secure Neural Network Training and Prediction

    cs.CR 2019-07 unverdicted novelty 6.0 of 10

    QUOTIENT achieves 50X faster WAN training time and 6% higher absolute accuracy for secure two-party DNN training by jointly optimizing a discretized training algorithm with a tailored secure protocol.

  4. APQF: Agentic Profiling-Guided Structured Pruning and Mixed-Precision Quantization with Adaptive Fine-Tuning

    cs.CV 2026-08 conditional novelty 5.0 of 10

    A profiling-guided, LLM-driven framework combines structured pruning and mixed-precision quantization-aware training, reporting 13-18x bit-operation reductions with modest accuracy loss on ImageNet and CIFAR-10.

  5. Latency-Constrained DNN Architecture Learning for Edge Systems using Zerorized Batch Normalization

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    A one-shot training framework uses dynamic BN zeroization/recovery and an ML-based latency predictor to compress or scale DNNs to meet hard latency constraints on edge devices.

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  7. Exploring Vision Neural Network Pruning via Screening Methodology

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  9. Group Pruning using a Bounded-Lp norm for Group Gating and Regularization

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