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The design of the optimal inverse discrete cosine transform (IDCT) to compensate the quantization error is proposed for effective lossy image compression in this work. The forward and inverse DCTs are designed in pair in current image/video…

Multimedia · Computer Science 2021-02-02 Yifan Wang , Zhanxuan Mei , Chia-Yang Tsai , Ioannis Katsavounidis , C. -C. Jay Kuo

Upon compressing perceptually relevant signals, conventional quantization generally results in unnatural outcomes at low rates. We propose distribution preserving quantization (DPQ) to solve this problem. DPQ is a new quantization concept…

Information Theory · Computer Science 2011-08-19 Minyue Li , Janusz Klejsa , W. Bastiaan Kleijn

Image Coding for Machines (ICM) is becoming more important as research in computer vision progresses. ICM is a vital research field that pursues the use of images for image recognition models, facilitating efficient image transmission and…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Takahiro Shindo , Taiju Watanabe , Yui Tatsumi , Hiroshi Watanabe

Kappa distributions are widely used in space plasma physics to model velocity distribution functions with heavy tails. Parameter estimation in these distributions is, however, complicated by the fact that the kappa distribution does not…

Methodology · Statistics 2026-05-25 Leonardo Herrera-Fuenzalida , Sergio Davis

Taking into account some likeness of moderate deviations (MD) and central limit theorems (CLT), we develop an approach, which made a good showing in CLT, for MD analysis of a family $$ S^\kappa_t=\frac{1}{t^\kappa}\int_0^tH(X_s)ds, \…

Probability · Mathematics 2016-08-16 A. Guillin , R. Liptser

Recently, learned image compression methods have developed rapidly and exhibited excellent rate-distortion performance when compared to traditional standards, such as JPEG, JPEG2000 and BPG. However, the learning-based methods suffer from…

Image and Video Processing · Electrical Eng. & Systems 2022-06-24 Bowen Li , Yao Xin , Youneng Bao , Fanyang Meng , Yongsheng Liang , Wen Tan

JPEG images can be further compressed to enhance the storage and transmission of large-scale image datasets. Existing learned lossless compressors for RGB images cannot be well transferred to JPEG images due to the distinguishing…

Image and Video Processing · Electrical Eng. & Systems 2023-03-09 Jixiang Luo , Shaohui Li , Wenrui Dai , Chenglin Li , Junni Zou , Hongkai Xiong

Convolutional autoencoders are now at the forefront of image compression research. To improve their entropy coding, encoder output is typically analyzed with a second autoencoder to generate per-variable parametrized prior probability…

Image and Video Processing · Electrical Eng. & Systems 2021-11-18 Benoit Brummer , Christophe De Vleeschouwer

Probability distribution modeling is the basis for most competitive methods for lossless coding of screen content. One such state-of-the-art method is known as soft context formation (SCF). For each pixel to be encoded, a probability…

Image and Video Processing · Electrical Eng. & Systems 2022-12-05 Hannah Och , Tilo Strutz , André Kaup

We propose the use of low bit-depth Sigma-Delta and distributed noise-shaping methods for quantizing the Random Fourier features (RFFs) associated with shift-invariant kernels. We prove that our quantized RFFs -- even in the case of $1$-bit…

Machine Learning · Computer Science 2022-04-14 Jinjie Zhang , Harish Kannan , Alexander Cloninger , Rayan Saab

We study compression strategies for multipartite entanglement distribution under uncertainty in the partitioning of the quantum state. When the partition is not known at the time of state preparation, we show that a joint design of the…

We discover a theoretical connection between explanation estimation and distribution compression that significantly improves the approximation of feature attributions, importance, and effects. While the exact computation of various machine…

Machine Learning · Computer Science 2025-01-24 Hubert Baniecki , Giuseppe Casalicchio , Bernd Bischl , Przemyslaw Biecek

While standard estimation assumes that all datapoints are from probability distribution of the same fixed parameters $\theta$, we will focus on maximum likelihood (ML) adaptive estimation for nonstationary time series: separately estimating…

Machine Learning · Statistics 2020-03-24 Jarek Duda

Image compression with upsampling encodes information to succeedingly increase image resolution, for example by encoding differences in FUIF and JPEG XL. It is useful for progressive decoding, also often can improve compression ratio - both…

Image and Video Processing · Electrical Eng. & Systems 2020-07-14 Jarek Duda

In this paper, we present the $\alpha$-$\eta$-$\mathcal{F}$ and $\alpha$-$\kappa$-$\mathcal{F}$ composite fading distributions. The two distributions generalize the two well-known composite fading distributions, namely the…

Signal Processing · Electrical Eng. & Systems 2020-05-15 Osamah. S. Badarneh

We propose a new scheme to re-compress JPEG images in a lossless way. Using a JPEG image as an input the algorithm partially decodes the signal to obtain quantized DCT coefficients and then re-compress them in a more effective way.

Computer Vision and Pattern Recognition · Computer Science 2023-10-17 Maxim Koroteev , Yaroslav Borisov , Pavel Frolov

A reduced-bias nonparametric estimator of the cumulative distribution function (CDF) and the survival function is proposed using infinite-order kernels. Fourier transform theory on generalized functions is utilized to obtain the improved…

Methodology · Statistics 2009-03-18 Arthur Berg , Dimitris N. Politis

This work provides a survey of the general class of distributions generated from the mixture of the beta random variables. We provide an extensive review of the literature, concerning generating new distributions via the inverse CDF…

Methodology · Statistics 2020-05-12 Palash Sharma

We propose the exact calculation of the probability density function (PDF) and cumulative distribution function (CDF) of mutual information (MI) for a two-user MIMO MAC network over block Rayleigh fading channels. So far the PDF and CDF…

Information Theory · Computer Science 2018-03-13 Gabriel Pivaro , Santosh Kumar , Gustavo Fraidenraich

We present an approximate form for the weak lensing magnification distribution of standard candles, valid for all cosmological models, with arbitrary matter distributions, over all redshifts. Our results are based on a universal probability…

Astrophysics · Physics 2009-11-07 Yun Wang , Daniel E. Holz , Dipak Munshi
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