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We construct a randomized vector quantizer which has a smaller maximum error compared to all known lattice quantizers with the same entropy for dimensions 5, 6, ..., 48, and also has a smaller mean squared error compared to known lattice…

信息论 · 计算机科学 2025-10-29 Chih Wei Ling , Cheuk Ting Li

Measurements are a vital part of any quantum computation, whether as a final step to retrieve results, as an intermediate step to inform subsequent operations, or as part of the computation itself (as in measurement-based quantum…

量子物理 · 物理学 2023-04-14 Stefanie J. Beale , Joel J. Wallman

Image compression using neural networks have reached or exceeded non-neural methods (such as JPEG, WebP, BPG). While these networks are state of the art in ratedistortion performance, computational feasibility of these models remains a…

图像与视频处理 · 电气工程与系统科学 2019-12-19 Nick Johnston , Elad Eban , Ariel Gordon , Johannes Ballé

Based on the model's resilience to computational noise, model quantization is important for compressing models and improving computing speed. Existing quantization techniques rely heavily on experience and "fine-tuning" skills. In the…

机器学习 · 计算机科学 2022-07-22 Daning Cheng , Wenguang Chen

Decoherence is the process via which quantum superpositions states are reduced to classical mixtures. Decoherence has been predicted for relativistically accelerated quantum systems, however examples to date have involved restricting the…

量子物理 · 物理学 2019-01-16 Daiqin Su , Timothy C. Ralph

We consider the optimal quantization of compressive sensing measurements following the work on generalization of relaxed belief propagation (BP) for arbitrary measurement channels. Relaxed BP is an iterative reconstruction scheme inspired…

信息论 · 计算机科学 2016-11-15 Ulugbek Kamilov , Vivek K Goyal , Sundeep Rangan

A collection of quantile curves provides a complete picture of conditional distributions. Properly centered and scaled versions of estimated curves at various quantile levels give rise to the so-called quantile regression process (QRP). In…

统计理论 · 数学 2017-07-25 Shih-Kang Chao , Stanislav Volgushev , Guang Cheng

Redundancy is related to the amount of functionality that the structure can sustain in the worst-case scenario of structural degradation. This paper proposes a widely-applicable concept of redundancy optimization of finite-dimensional…

最优化与控制 · 数学 2017-08-22 Yoshihiro Kanno

In this paper, we propose an accurate data-free post-training quantization framework of diffusion models (ADP-DM) for efficient image generation. Conventional data-free quantization methods learn shared quantization functions for tensor…

计算机视觉与模式识别 · 计算机科学 2024-05-01 Changyuan Wang , Ziwei Wang , Xiuwei Xu , Yansong Tang , Jie Zhou , Jiwen Lu

The vast work in Deep Learning (DL) has led to a leap in image denoising research. Most DL solutions for this task have chosen to put their efforts on the denoiser's architecture while maximizing distortion performance. However, distortion…

计算机视觉与模式识别 · 计算机科学 2024-05-21 Guy Ohayon , Theo Adrai , Gregory Vaksman , Michael Elad , Peyman Milanfar

We consider lossless compression based on statistical data modeling followed by prediction-based encoding, where an accurate statistical model for the input data leads to substantial improvements in compression. We propose DZip, a…

机器学习 · 计算机科学 2020-09-21 Mohit Goyal , Kedar Tatwawadi , Shubham Chandak , Idoia Ochoa

A scenario involving a source, a channel, and a destination, where the destination is interested in {\em both} reliably reconstructing the message transmitted by the source and estimating with a fidelity criterion the state of the channel,…

信息论 · 计算机科学 2011-08-30 Wenyi Zhang , Satish Vedantam , Urbashi Mitra

Randomized benchmarking is routinely used as an efficient method for characterizing the performance of sets of elementary logic gates in small quantum devices. In the measurement-based model of quantum computation, logic gates are…

量子物理 · 物理学 2016-09-05 Rafael N. Alexander , Peter S. Turner , Stephen D. Bartlett

In lossy compression, Wang et al. [1] recently introduced the rate-distortion-perception-classification function, which supports multi-task learning by jointly optimizing perceptual quality, classification accuracy, and reconstruction…

信息论 · 计算机科学 2025-04-23 Nam Nguyen , Thuan Nguyen , Thinh Nguyen , Bella Bose

Generative data-free quantization emerges as a practical compression approach that quantizes deep neural networks to low bit-width without accessing the real data. This approach generates data utilizing batch normalization (BN) statistics…

计算机视觉与模式识别 · 计算机科学 2022-10-21 Haotong Qin , Yifu Ding , Xiangguo Zhang , Jiakai Wang , Xianglong Liu , Jiwen Lu

In recent years we have witnessed an increasing interest in applying Deep Neural Networks (DNNs) to improve the rate-distortion performance in image compression. However, the existing approaches either train a post-processing DNN on the…

图像与视频处理 · 电气工程与系统科学 2020-10-27 Yannick Strümpler , Ren Yang , Radu Timofte

A central problem in quantum information is to determine the minimal physical resources that are required for quantum computational speedup and, in particular, for fault-tolerant quantum computation. We establish a remarkable connection…

量子物理 · 物理学 2012-11-30 Victor Veitch , Christopher Ferrie , David Gross , Joseph Emerson

Properties of scalar quantization with $r$th power distortion and constrained R\'enyi entropy of order $\alpha\in (0,1)$ are investigated. For an asymptotically (high-rate) optimal sequence of quantizers, the contribution to the R\'enyi…

信息论 · 计算机科学 2012-03-27 Wolfgang Kreitmeier , Tamas Linder

We apply a dynamical systems approach to concatenation of quantum error correcting codes, extending and generalizing the results of Rahn et al. [1] to both diagonal and nondiagonal channels. Our point of view is global: instead of focusing…

量子物理 · 物理学 2007-05-23 Jesse Fern , Julia Kempe , Slobodan Simic , Shankar Sastry

Quantum Neuromorphic Computing (QNC) merges quantum computation with neural computation to create scalable, noise-resilient algorithms for quantum machine learning (QML). At the core of QNC is the quantum perceptron (QP), which leverages…