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An upper bound between the information gain and state reversibility of weak measurement was first developed by Y. K. Cheong and S. W. Lee [Phys. Rev. Lett. 109, 150402 (2012)]. Their results are valid for arbitrary d-level quantum systems.…

In this paper, we consider the rate-distortion-perception (RDP) trade-off for the lossy compression of a Bernoulli vector source, which is a finite collection of independent binary random variables. The RDP function quantifies in a way the…

Information Theory · Computer Science 2025-01-22 Praneeth Kumar Vippathalla , Mihai-Alin Badiu , Justin P. Coon

We present a novel method to reconstruct a spectral central view and its aligned disparity map from spatio-spectrally coded light fields. Since we do not reconstruct an intermediate full light field from the coded measurement, we refer to…

Computer Vision and Pattern Recognition · Computer Science 2021-10-15 Maximilian Schambach , Jiayang Shi , Michael Heizmann

Image restoration from a single image degradation type, such as blurring, hazing, random noise, and compression has been investigated for decades. However, image degradations in practice are often a mixture of several types of degradation.…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Kazutaka Uchida , Masayuki Tanaka , Masatoshi Okutomi

The one-dimensional phase retrieval problem consists in the recovery of a complex-valued signal from its Fourier intensity. Due to the well-known ambiguousness of this problem, the determination of the original signal within the extensive…

Numerical Analysis · Mathematics 2021-03-19 Robert Beinert

Blind deconvolution is an ubiquitous non-linear inverse problem in applications like wireless communications and image processing. This problem is generally ill-posed since signal identifiability is a key concern, and there have been…

Information Theory · Computer Science 2019-04-09 Sunav Choudhary , Urbashi Mitra

Transformers achieve superior performance on many tasks, but impose heavy compute and memory requirements during inference. This inference can be made more efficient by partitioning the process across multiple devices, which, in turn,…

Machine Learning · Computer Science 2026-04-21 Anderson de Andrade , Alon Harell , Ivan V. Bajić

Secrecy in communication systems is measured herein by the distortion that an adversary incurs. The transmitter and receiver share secret key, which they use to encrypt communication and ensure distortion at an adversary. A model is…

Information Theory · Computer Science 2015-04-14 Curt Schieler , Paul Cuff

Prior work has analyzed the robustness of visual encoders to image transformations and corruptions, particularly in cases where such alterations are not seen during training. When this occurs, they introduce a form of distribution shift at…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Ryan Ramos , Vladan Stojnić , Giorgos Kordopatis-Zilos , Yuta Nakashima , Giorgos Tolias , Noa Garcia

The problem of estimating the information rate distortion perception function (RDPF), which is a relevant information-theoretic quantity in goal-oriented lossy compression and semantic information reconstruction, is investigated here.…

Information Theory · Computer Science 2025-09-25 Martha V. Sourla , Giuseppe Serra , Photios A. Stavrou , Marios Kountouris

Pre-training representations (a.k.a. foundation models) has recently become a prevalent learning paradigm, where one first pre-trains a representation using large-scale unlabeled data, and then learns simple predictors on top of the…

Machine Learning · Computer Science 2023-03-02 Zhenmei Shi , Jiefeng Chen , Kunyang Li , Jayaram Raghuram , Xi Wu , Yingyu Liang , Somesh Jha

We propose an image restoration algorithm that can control the perceptual quality and/or the mean square error (MSE) of any pre-trained model, trading one over the other at test time. Our algorithm is few-shot: Given about a dozen images…

Artificial Intelligence · Computer Science 2024-08-13 Theo Adrai , Guy Ohayon , Tomer Michaeli , Michael Elad

Consider the problem of estimating a latent signal from a lossy compressed version of the data when the compressor is agnostic to the relation between the signal and the data. This situation arises in a host of modern applications when data…

Information Theory · Computer Science 2021-01-12 Alon Kipnis , Stefano Rini , Andrea J. Goldsmith

Recently, intermediate feature maps of pre-trained convolutional neural networks have shown significant perceptual quality improvements, when they are used in the loss function for training new networks. It is believed that these features…

Computer Vision and Pattern Recognition · Computer Science 2020-07-24 Taimoor Tariq , Okan Tarhan Tursun , Munchurl Kim , Piotr Didyk

End-to-end visual communication systems typically optimize a trade-off between channel bandwidth costs and signal-level distortion metrics. However, under challenging physical conditions, this traditional coding and transmission paradigm…

Signal Processing · Electrical Eng. & Systems 2025-01-28 Sixian Wang , Jincheng Dai , Kailin Tan , Xiaoqi Qin , Kai Niu , Ping Zhang

When we extract information from a system by performing a quantum measurement, the state of the system is disturbed due to the backaction of the measurement. Numerous studies have been performed to quantitatively formulate tradeoff…

Quantum Physics · Physics 2016-04-06 Tomohiro Shitara , Yui Kuramochi , Masahito Ueda

The recently proposed modified-compressive sensing (modified-CS), which utilizes the partially known support as prior knowledge, significantly improves the performance of recovering sparse signals. However, modified-CS depends heavily on…

Information Theory · Computer Science 2012-07-10 Jun Zhang , Yuanqing Li , Zhu Liang Yu , Zhenghui Gu

Compressive sensing (CS) works to acquire measurements at sub-Nyquist rate and recover the scene images. Existing CS methods always recover the scene images in pixel level. This causes the smoothness of recovered images and lack of…

Computer Vision and Pattern Recognition · Computer Science 2018-11-29 Jiang Du , Xuemei Xie , Chenye Wang , Guangming Shi

Learning contrastive representations from pairwise comparisons has achieved remarkable success in various fields, such as natural language processing, computer vision, and information retrieval. Collaborative filtering algorithms based on…

Information Retrieval · Computer Science 2023-08-01 Bin Liu , Qin Luo , Bang Wang

Parsimony in signal representation is a topic of active research. Sparse signal processing and representation is the outcome of this line of research which has many applications in information processing and has shown significant…

Computer Vision and Pattern Recognition · Computer Science 2018-05-15 Hojjat Seyed Mousavi