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The analysis of signals defined over a graph is relevant in many applications, such as social and economic networks, big data or biological networks, and so on. A key tool for analyzing these signals is the so called Graph Fourier Transform…

谱理论 · 数学 2017-10-11 Stefania Sardellitti , Sergio Barbarossa , Paolo Di Lorenzo

With the growing demand for non-Euclidean data analysis, graph signal processing (GSP) has gained significant attention for its capability to handle complex time-varying data. This paper introduces a novel sampling method based on the joint…

综合数学 · 数学 2025-06-03 Yu Zhang , Bing-Zhao Li

The focus of Part I of this monograph has been on both the fundamental properties, graph topologies, and spectral representations of graphs. Part II embarks on these concepts to address the algorithmic and practical issues centered round…

As one novel approach to realize end-to-end wireless image semantic transmission, deep learning-based joint source-channel coding (deep JSCC) method is emerging in both deep learning and communication communities. However, current deep JSCC…

计算机视觉与模式识别 · 计算机科学 2022-05-27 Jun Wang , Sixian Wang , Jincheng Dai , Zhongwei Si , Dekun Zhou , Kai Niu

We study the problem of constructing a graph Fourier transform (GFT) for directed graphs (digraphs), which decomposes graph signals into different modes of variation with respect to the underlying network. Accordingly, to capture low,…

信号处理 · 电气工程与系统科学 2019-01-30 Rasoul Shafipour , Ali Khodabakhsh , Gonzalo Mateos , Evdokia Nikolova

Many multi-dimensional signals appear in the real world, such as digital images and data that has spatial and temporal dimensions. How to show the spectrum of these multi-dimensional signals correctly is a key challenge in the field of…

信号处理 · 电气工程与系统科学 2021-09-10 Fang-Jia Yan , Bing-Zhao Li

Inductive one-bit matrix completion is motivated by modern applications such as recommender systems, where new users would appear at test stage with the ratings consisting of only ones and no zeros. We propose a unified graph signal…

机器学习 · 计算机科学 2023-02-09 Chao Chen , Haoyu Geng , Gang Zeng , Zhaobing Han , Hua Chai , Xiaokang Yang , Junchi Yan

The detailed reconstruction of neural anatomy for connectomics studies requires a combination of resolution and large three-dimensional data capture provided by serial section electron microscopy (ssEM). The convergence of high throughput…

计算机视觉与模式识别 · 计算机科学 2017-11-21 Arthur W. Wetzel , Jennifer Bakal , Markus Dittrich , David G. C. Hildebrand , Josh L. Morgan , Jeff W. Lichtman

A binocular system developed by the author in terms of projective Fourier transform (PFT) of the conformal camera, which numerically integrates the head, eyes, and visual cortex, is used to process visual information during saccadic eye…

计算机视觉与模式识别 · 计算机科学 2009-08-29 Jacek Turski

We propose a simple yet effective metric that measures structural similarity between visual instances of architectural floor plans, without the need for learning. Qualitatively, our experiments show that the retrieval results are similar to…

计算机视觉与模式识别 · 计算机科学 2023-09-11 Casper van Engelenburg , Seyran Khademi , Jan van Gemert

Perception-aware lossy source coding has attracted significant recent interest. It augments the classical distortion criterion with an explicit perception constraint, thereby enabling more refined control over fidelity and perceptual…

信息论 · 计算机科学 2026-04-22 Ali Hussein , Jun Chen , Chao Tian , S. Sandeep Pradhan

Learning-based MIMO detection has shown strong empirical performance, yet existing methods typically rely on fixed-depth architectures without explicitly modeling the progressive refinement of symbol estimates. In this paper, we revisit…

信息论 · 计算机科学 2026-05-04 Nan Jiang , Jiadong Hong , Lei Liu , Xinyu Bian , Wenjie Wang , Zhaoyang Zhang

It is now generally accepted that Euclidean-based metrics may not always adequately represent the subjective judgement of a human observer. As a result, many image processing methodologies have been recently extended to take advantage of…

最优化与控制 · 数学 2020-02-10 D. Otero , D. La Torre , O. Michailovich , E. R. Vrscay

Humans are excellent at perceiving illusory outlines. We are readily able to complete contours, shapes, scenes, and even unseen objects when provided with images that contain broken fragments of a connected appearance. In vision science,…

计算机视觉与模式识别 · 计算机科学 2021-11-23 Morteza Rezanejad , Sidharth Gupta , Chandra Gummaluru , Ryan Marten , John Wilder , Michael Gruninger , Dirk B. Walther

We study the problem of constructing a graph Fourier transform (GFT) for directed graphs (digraphs), which decomposes graph signals into different modes of variation with respect to the underlying network. Accordingly, to capture low,…

谱理论 · 数学 2017-06-01 Rasoul Shafipour , Ali Khodabakhsh , Gonzalo Mateos , Evdokia Nikolova

In the realm of industrial manufacturing, product inspection remains a significant bottleneck, with only a small fraction of manufactured items undergoing inspection for surface defects. Advances in imaging systems and AI can allow…

图像与视频处理 · 电气工程与系统科学 2023-12-05 Tapan Ganatma Nakkina , Adithyaa Karthikeyan , Yuhao Zhong , Ceyhun Eksin , Satish T. S. Bukkapatnam

We introduce Prior-Informed Flow Matching (PIFM), a conditional flow model for graph reconstruction. Reconstructing graphs from partial observations remains a key challenge; classical embedding methods often lack global consistency, while…

机器学习 · 计算机科学 2026-01-30 Harvey Chen , Nicolas Zilberstein , Santiago Segarra

Recent advancements in vision models have greatly improved their ability to handle complex chart understanding tasks, like chart captioning and question answering. However, it remains challenging to assess how these models process charts.…

计算机视觉与模式识别 · 计算机科学 2024-07-31 Soohyun Lee , Minsuk Chang , Seokhyeon Park , Jinwook Seo

We propose an inexact method for the graph Fourier transform of a graph signal, as defined by the signal decomposition over the Jordan subspaces of the graph adjacency matrix. This method projects the signal over the generalized eigenspaces…

社会与信息网络 · 计算机科学 2017-01-12 Joya A. Deri , José M. F. Moura

This paper presents a novel approach, Spectral-Interpretable and -Enhanced Transformer (SIEFormer), which leverages spectral analysis to reinterpret the attention mechanism within Vision Transformer (ViT) and enhance feature adaptability,…

计算机视觉与模式识别 · 计算机科学 2026-02-16 Chunming Li , Shidong Wang , Tong Xin , Haofeng Zhang