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Fast Flow Reconstruction via Robust Invertible n × n Convolution

Author

Listed:
  • Thanh-Dat Truong

    (Computer Vision and Image Understanding Lab, Department of Computer Science and Computer Engineering, University of Arkansas, Fayetteville, AR 72501, USA)

  • Chi Nhan Duong

    (Department of Computer Science and Software Engineering, Concordia University, Montreal, QC H3G 2V4, Canada)

  • Minh-Triet Tran

    (Faculty of Information Technology, University of Science, VNU-HCM, Ho Chi Minh 721337, Vietnam)

  • Ngan Le

    (Computer Vision and Image Understanding Lab, Department of Computer Science and Computer Engineering, University of Arkansas, Fayetteville, AR 72501, USA)

  • Khoa Luu

    (Computer Vision and Image Understanding Lab, Department of Computer Science and Computer Engineering, University of Arkansas, Fayetteville, AR 72501, USA)

Abstract

Flow-based generative models have recently become one of the most efficient approaches to model data generation. Indeed, they are constructed with a sequence of invertible and tractable transformations. Glow first introduced a simple type of generative flow using an invertible 1 × 1 convolution. However, the 1 × 1 convolution suffers from limited flexibility compared to the standard convolutions. In this paper, we propose a novel invertible n × n convolution approach that overcomes the limitations of the invertible 1 × 1 convolution. In addition, our proposed network is not only tractable and invertible but also uses fewer parameters than standard convolutions. The experiments on CIFAR-10, ImageNet and Celeb-HQ datasets, have shown that our invertible n × n convolution helps to improve the performance of generative models significantly.

Suggested Citation

  • Thanh-Dat Truong & Chi Nhan Duong & Minh-Triet Tran & Ngan Le & Khoa Luu, 2021. "Fast Flow Reconstruction via Robust Invertible n × n Convolution," Future Internet, MDPI, vol. 13(7), pages 1-12, July.
  • Handle: RePEc:gam:jftint:v:13:y:2021:i:7:p:179-:d:590828
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