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This paper studies fixed-rate randomized vector quantization under the constraint that the quantizer's output has a given fixed probability distribution. A general representation of randomized quantizers that includes the common models in…

Information Theory · Computer Science 2016-11-15 Naci Saldi , Tamás Linder , Serdar Yüksel

We present a new math-physics modeling approach, called canonical quantization with numerical mode-decomposition, for capturing the physics of how incoming photons interact with finite-sized dispersive media, which is not describable by the…

Quantum Physics · Physics 2021-06-16 Dong-Yeop Na , Jie Zhu , Weng Cho Chew

Our aim is to estimate the perspective-effected geometric distortion of a scene from a video feed. In contrast to all previous work we wish to achieve this using from low-level, spatio-temporally local motion features used in commercial…

Computer Vision and Pattern Recognition · Computer Science 2015-04-22 Ognjen Arandjelovic , Duc-Son Pham , Svetha Venkatesh

Accurate and well-calibrated Machine Learning (ML) models are mandatory in high-stakes settings, yet effective multiclass calibration remains challenging: global approaches assume calibration errors are homogeneous across the latent space,…

Machine Learning · Computer Science 2026-05-21 Cesare Barbera , Lorenzo Perini , Giovanni De Toni , Andrea Passerini , Andrea Pugnana

Formula recognition presents significant challenges due to the complicated structure and varied notation of mathematical expressions. Despite continuous advancements in formula recognition models, the evaluation metrics employed by these…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Bin Wang , Fan Wu , Linke Ouyang , Zhuangcheng Gu , Rui Zhang , Renqiu Xia , Bo Zhang , Conghui He

Current research in Computer Vision has shown that Convolutional Neural Networks (CNN) give state-of-the-art performance in many classification tasks and Computer Vision problems. The embedding of CNN, which is the internal representation…

Computer Vision and Pattern Recognition · Computer Science 2015-08-04 Axel Angel

Channel covariance matrix (CCM) is one critical parameter for designing the communications systems. In this paper, a novel framework of the deep learning (DL) based CCM estimation is proposed that exploits the perception of the transmission…

Signal Processing · Electrical Eng. & Systems 2023-04-19 Weihua Xu , Feifei Gao , Jianhua Zhang , Xiaoming Tao , Ahmed Alkhateeb

Recent works have successfully applied some types of Convolutional Neural Networks (CNNs) to reduce the noticeable distortion resulting from the lossy JPEG/MPEG compression technique. Most of them are built upon the processing made on the…

Image and Video Processing · Electrical Eng. & Systems 2025-10-14 Antonio J G Busson , Paulo R C Mendes , Daniel de S Moraes , Álvaro M da Veiga , Álan L V Guedes , Sérgio Colcher

Features obtained from object recognition CNNs have been widely used for measuring perceptual similarities between images. Such differentiable metrics can be used as perceptual learning losses to train image enhancement models. However, the…

Computer Vision and Pattern Recognition · Computer Science 2021-05-18 Mauricio Delbracio , Hossein Talebi , Peyman Milanfar

Image editing and compositing have become ubiquitous in entertainment, from digital art to AR and VR experiences. To produce beautiful composites, the camera needs to be geometrically calibrated, which can be tedious and requires a physical…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Yannick Hold-Geoffroy , Dominique Piché-Meunier , Kalyan Sunkavalli , Jean-Charles Bazin , François Rameau , Jean-François Lalonde

Quantizing images into discrete representations has been a fundamental problem in unified generative modeling. Predominant approaches learn the discrete representation either in a deterministic manner by selecting the best-matching token or…

Computer Vision and Pattern Recognition · Computer Science 2023-10-17 Jiahui Zhang , Fangneng Zhan , Christian Theobalt , Shijian Lu

Most Machine Learning (ML) methods, from clustering to classification, rely on a distance function to describe relationships between datapoints. For complex datasets it is hard to avoid making some arbitrary choices when defining a distance…

Machine Learning · Statistics 2016-07-04 Gina Gruenhage , Manfred Opper , Simon Barthelme

Distance transforms are a central tool in shape analysis, morphometry, and curve evolution problems. This work describes and investigates an artifact present in distance maps computed from sampled signals. Namely, sampling reflects through…

Image and Video Processing · Electrical Eng. & Systems 2020-11-19 Bryce A. Besler , Tannis D. Kemp , Nils D. Forkert , Steven K. Boyd

This work considers the asymptotic behavior of the distance between two sample covariance matrices (SCM). A general result is provided for a class of functionals that can be expressed as sums of traces of functions that are separately…

Statistics Theory · Mathematics 2023-12-25 Roberto Pereira , Xavier Mestre , David Gregoratti

Distances to compact sets are widely used in the field of Topological Data Analysis for inferring geometric and topological features from point clouds. In this context, the distance to a probability measure (DTM) has been introduced by…

Statistics Theory · Mathematics 2016-03-17 Frédéric Chazal , Pascal Massart , Bertrand Michel

In many applications, we desire neural networks to exhibit invariance or equivariance to certain groups due to symmetries inherent in the data. Recently, frame-averaging methods emerged to be a unified framework for attaining symmetries…

Machine Learning · Computer Science 2024-11-05 George Ma , Yifei Wang , Derek Lim , Stefanie Jegelka , Yisen Wang

We present an uncertainty-relation-type quantum benchmark for continuous-variable (CV) quantum channels that works with an input ensemble of Gaussian distributed coherent states and homodyne measurements. It determines an optimal trade-off…

Quantum Physics · Physics 2015-04-07 Ryo Namiki , Koji Azuma

The rapid development of quantum dot (QD) devices for quantum computing has necessitated more efficient and automated methods for device characterization and tuning. This work demonstrates the feasibility and advantages of applying…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Daniel Schug , Tyler J. Kovach , M. A. Wolfe , Jared Benson , Sanghyeok Park , J. P. Dodson , J. Corrigan , M. A. Eriksson , Justyna P. Zwolak

Recent works on word representations mostly rely on predictive models. Distributed word representations (aka word embeddings) are trained to optimally predict the contexts in which the corresponding words tend to appear. Such models have…

Computation and Language · Computer Science 2015-04-10 Rémi Lebret , Ronan Collobert

We consider the problem of identifying the signal shared between two one-dimensional target variables, in the presence of additional multivariate observations. Canonical Correlation Analysis (CCA)-based methods have traditionally been used…

Machine Learning · Computer Science 2023-06-28 Alexander Rakowski , Christoph Lippert