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Loss aware post-training quantization

Yury Nahshan, Brian Chmiel, Chaim Baskin, Evgenii Zheltonozhskii, Ron Banner, Alex Bronstein, Avi Mendelson

2021Machine Learning20 citationsDOIOpen Access PDF

Abstract

Neural network quantization enables the deployment of large models on resource-constrained devices. Current post-training quantization methods fall short in terms of accuracy for INT4 (or lower) but provide reasonable accuracy for INT8 (or above). In this work, we study the effect of quantization on the structure of the loss landscape. We show that the structure is flat and separable for mild quantization, enabling straightforward post-training quantization methods to achieve good results. We show that with more aggressive quantization, the loss landscape becomes highly non-separable with steep curvature, making the selection of quantization parameters more challenging. Armed with this understanding, we design a method that quantizes the layer parameters jointly, enabling significant accuracy improvement over current post-training quantization methods. Reference implementation is available at https://github.com/ynahshan/nn-quantization-pytorch/tree/master/lapq .

Topics & Concepts

Quantization (signal processing)Computer scienceLinde–Buzo–Gray algorithmSoftware deploymentSeparable spaceArtificial neural networkAlgorithmArtificial intelligenceMathematicsMathematical analysisOperating systemAdvanced Neural Network ApplicationsDomain Adaptation and Few-Shot LearningStochastic Gradient Optimization Techniques
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