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In order to improve bitrates of lossless JPEG 2000, we propose to modify the discrete wavelet transform (DWT) by skipping selected steps of its computation. We employ a heuristic to construct the skipped steps DWT (SS-DWT) in an…

Multimedia · Computer Science 2017-01-03 Roman Starosolski

Lossless image coding is a crucial task especially in the medical area, e.g., for volumes from Computed Tomography or Magnetic Resonance Tomography. Besides lossless coding, compensated wavelet lifting offers a scalable representation of…

Image and Video Processing · Electrical Eng. & Systems 2023-01-12 Wolfgang Schnurrer , Tobias Tröger , Thomas Richter , Jürgen Seiler , André Kaup

An algorithm is proposed for the segmentation of image into multiple levels using mean and standard deviation in the wavelet domain. The procedure provides for variable size segmentation with bigger block size around the mean, and having…

Various post-training uniform quantization methods have usually been studied based on convex optimization. As a result, most previous ones rely on the quantization error minimization and/or quadratic approximations. Such approaches are…

Machine Learning · Computer Science 2021-05-06 Byeongwook Kim , Dongsoo Lee , Yeonju Ro , Yongkweon Jeon , Se Jung Kwon , Baeseong Park , Daehwan Oh

Quantizing deep neural networks is an effective method for reducing memory consumption and improving inference speed, and is thus useful for implementation in resource-constrained devices. However, it is still hard for extremely low-bit…

Computer Vision and Pattern Recognition · Computer Science 2021-11-03 Kohei Yamamoto

We present an end-to-end image compression system based on compressive sensing. The presented system integrates the conventional scheme of compressive sampling and reconstruction with quantization and entropy coding. The compression…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Xin Yuan , Raziel Haimi-Cohen

This paper studies the problem of reconstructing sparse or compressible signals from compressed sensing measurements that have undergone nonuniform quantization. Previous approaches to this Quantized Compressed Sensing (QCS) problem based…

Information Theory · Computer Science 2013-05-17 L. Jacques , D. K. Hammond , M. J. Fadili

Quantization is essential to simplify DNN inference in edge applications. Existing uniform and non-uniform quantization methods, however, exhibit an inherent conflict between the representing range and representing resolution, and thereby…

Signal Processing · Electrical Eng. & Systems 2020-09-29 Liu Fangxin , Zhao Wenbo , Wang Yanzhi , Dai Changzhi , Jiang Li

Lossy image compression is generally formulated as a joint rate-distortion optimization to learn encoder, quantizer, and decoder. However, the quantizer is non-differentiable, and discrete entropy estimation usually is required for rate…

Computer Vision and Pattern Recognition · Computer Science 2017-09-20 Mu Li , Wangmeng Zuo , Shuhang Gu , Debin Zhao , David Zhang

We propose DiffQ a differentiable method for model compression for quantizing model parameters without gradient approximations (e.g., Straight Through Estimator). We suggest adding independent pseudo quantization noise to model parameters…

Machine Learning · Statistics 2022-10-18 Alexandre Défossez , Yossi Adi , Gabriel Synnaeve

Image tokenizers map images to sequences of discrete tokens, and are a crucial component of autoregressive transformer-based image generation. The tokens are typically associated with spatial locations in the input image, arranged in raster…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Carlos Esteves , Mohammed Suhail , Ameesh Makadia

The sampling, quantization, and estimation of a bounded dynamic-range bandlimited signal affected by additive independent Gaussian noise is studied in this work. For bandlimited signals, the distortion due to additive independent Gaussian…

Information Theory · Computer Science 2012-11-29 Animesh Kumar , Vinod M. Prabhakaran

Lossy image compression aims to represent images in as few bits as possible while maintaining fidelity to the original. Theoretical results indicate that optimizing distortion metrics such as PSNR or MS-SSIM necessarily leads to a…

Image and Video Processing · Electrical Eng. & Systems 2023-08-14 Matthew J. Muckley , Alaaeldin El-Nouby , Karen Ullrich , Hervé Jégou , Jakob Verbeek

Current image tokenization methods require a large number of tokens to capture the information contained within images. Although the amount of information varies across images, most image tokenizers only support fixed-length tokenization,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-20 Keita Miwa , Kento Sasaki , Hidehisa Arai , Tsubasa Takahashi , Yu Yamaguchi

Learned image compression has a problem of non-bit-exact reconstruction due to different calculations of floating point arithmetic on different devices. This paper shows a method to achieve a deterministic reconstructed image by quantizing…

Image and Video Processing · Electrical Eng. & Systems 2024-01-12 Esin Koyuncu , Timofey Solovyev , Johannes Sauer , Elena Alshina , André Kaup

We present a novel method for neural network quantization that emulates a non-uniform $k$-quantile quantizer, which adapts to the distribution of the quantized parameters. Our approach provides a novel alternative to the existing uniform…

Machine Learning · Computer Science 2021-03-30 Chaim Baskin , Eli Schwartz , Evgenii Zheltonozhskii , Natan Liss , Raja Giryes , Alex M. Bronstein , Avi Mendelson

Model quantization can reduce the model size and computational latency, it has become an essential technique for the deployment of deep neural networks on resourceconstrained hardware (e.g., mobile phones and embedded devices). The existing…

Computer Vision and Pattern Recognition · Computer Science 2021-03-10 Qigong Sun , Yan Ren , Licheng Jiao , Xiufang Li , Fanhua Shang , Fang Liu

Generative neural image compression supports data representation at extremely low bitrate, synthesizing details at the client and consistently producing highly realistic images. By leveraging the similarities between quantization error and…

Image and Video Processing · Electrical Eng. & Systems 2025-04-04 Lucas Relic , Roberto Azevedo , Yang Zhang , Markus Gross , Christopher Schroers

In many quantization problems, the distortion function is given by the Euclidean metric to measure the distance of a source sample to any given reproduction point of the quantizer. We will in this work regard distortion functions, which are…

Information Theory · Computer Science 2018-11-07 Jun Guo , Philipp Walk , Hamid Jafarkhani

This work proposes to augment the lifting steps of the conventional wavelet transform with additional neural network assisted lifting steps. These additional steps reduce residual redundancy (notably aliasing information) amongst the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-27 Xinyue Li , Aous Naman , David Taubman