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In recent years, manifold learning has become increasingly popular as a tool for performing non-linear dimensionality reduction. This has led to the development of numerous algorithms of varying degrees of complexity that aim to recover man…

机器学习 · 统计学 2013-06-03 Dominique Perraul-Joncas , Marina Meila

To model manifold data using normalizing flows, we employ isometric autoencoders to design embeddings with explicit inverses that do not distort the probability distribution. Using isometries separates manifold learning and density…

机器学习 · 计算机科学 2023-05-09 Eike Cramer , Felix Rauh , Alexander Mitsos , Raúl Tempone , Manuel Dahmen

Manifold learning techniques have become increasingly valuable as data continues to grow in size. By discovering a lower-dimensional representation (embedding) of the structure of a dataset, manifold learning algorithms can substantially…

神经与进化计算 · 计算机科学 2020-01-31 Andrew Lensen , Mengjie Zhang , Bing Xue

Blind image quality assessment (BIQA) is a task that predicts the perceptual quality of an image without its reference. Research on BIQA attracts growing attention due to the increasing amount of user-generated images and emerging mobile…

图像与视频处理 · 电气工程与系统科学 2023-03-24 Zhanxuan Mei , Yun-Cheng Wang , Xingze He , Yong Yan , C. -C. Jay Kuo

The 4K content can deliver a more immersive visual experience to consumers due to the huge improvement of spatial resolution. However, existing blind image quality assessment (BIQA) methods are not suitable for the original and upscaled 4K…

多媒体 · 计算机科学 2022-06-10 Wei Lu , Wei Sun , Xiongkuo Min , Wenhan Zhu , Quan Zhou , Jun He , Qiyuan Wang , Zicheng Zhang , Tao Wang , Guangtao Zhai

Image quality assessment (IQA) is an important research topic for understanding and improving visual experience. The current state-of-the-art IQA methods are based on convolutional neural networks (CNNs). The performance of CNN-based models…

计算机视觉与模式识别 · 计算机科学 2021-08-16 Junjie Ke , Qifei Wang , Yilin Wang , Peyman Milanfar , Feng Yang

Geometric representation learning in preserving the intrinsic geometric and topological properties for discrete non-Euclidean data is crucial in scientific applications. Previous research generally mapped non-Euclidean discrete data into…

机器学习 · 计算机科学 2025-11-25 Zihao Chen , Wenyong Wang , Jiachen Yang , Yu Xiang

Image Quality Assessment (IQA) methods typically overlook local manifold structures, leading to compromised discriminative capabilities in perceptual quality evaluation. To address this limitation, we present LML-IQA, an innovative…

计算机视觉与模式识别 · 计算机科学 2025-10-14 Zihao Huang , Runze Hu , Timin Gao , Yan Zhang , Yunhang Shen , Ke Li

Most modern No-Reference Image-Quality Assessment (NR-IQA) metrics are based on neural networks vulnerable to adversarial attacks. Attacks on such metrics lead to incorrect image/video quality predictions, which poses significant risks,…

图像与视频处理 · 电气工程与系统科学 2024-11-20 Ekaterina Shumitskaya , Mikhail Pautov , Dmitriy Vatolin , Anastasia Antsiferova

In this paper, we develop a new classification method for manifold-valued data in the framework of probabilistic learning vector quantization. In many classification scenarios, the data can be naturally represented by symmetric positive…

机器学习 · 计算机科学 2021-02-02 Fengzhen Tang , Haifeng Feng , Peter Tino , Bailu Si , Daxiong Ji

Image quality assessment(IQA) is of increasing importance for image-based applications. Its purpose is to establish a model that can replace humans for accurately evaluating image quality. According to whether the reference image is…

图像与视频处理 · 电气工程与系统科学 2022-01-12 Lanjiang Wang

Blind image quality assessment (BIQA) aims to predict perceptual image quality scores without access to reference images. State-of-the-art BIQA methods typically require subjects to score a large number of images to train a robust model.…

计算机视觉与模式识别 · 计算机科学 2019-04-25 Fei Gao , Dacheng Tao , Xinbo Gao , Xuelong Li

Meta-embedding (ME) learning is an emerging approach that attempts to learn more accurate word embeddings given existing (source) word embeddings as the sole input. Due to their ability to incorporate semantics from multiple source…

计算与语言 · 计算机科学 2022-04-26 Danushka Bollegala , James O'Neill

In this paper, we propose a point cloud classification method based on graph neural network and manifold learning. Different from the conventional point cloud analysis methods, this paper uses manifold learning algorithms to embed point…

计算机视觉与模式识别 · 计算机科学 2020-10-19 Dinghao Yang , Wei Gao

Optical microscopy is one of the most widely used techniques in research studies for life sciences and biomedicine. These applications require reliable experimental pipelines to extract valuable knowledge from the measured samples and must…

计算机视觉与模式识别 · 计算机科学 2025-12-02 Elena Corbetta , Thomas Bocklitz

The recovery of the intrinsic geometric structures of data collections is an important problem in data analysis. Supervised extensions of several manifold learning approaches have been proposed in the recent years. Meanwhile, existing…

计算机视觉与模式识别 · 计算机科学 2018-05-29 Cem Ornek , Elif Vural

Manifold alignment (MA) involves a set of techniques for learning shared representations across domains, yet many traditional MA methods are incapable of performing out-of-sample extension, limiting their real-world applicability. We…

Recent advancements in image quality assessment (IQA), driven by sophisticated deep neural network designs, have significantly improved the ability to approach human perceptions. However, most existing methods are obsessed with fitting the…

计算机视觉与模式识别 · 计算机科学 2025-08-26 Shunyu Yao , Ming Liu , Zhilu Zhang , Zhaolin Wan , Zhilong Ji , Jinfeng Bai , Wangmeng Zuo

Centered kernel alignment (CKA) is a popular metric for comparing representations, determining equivalence of networks, and neuroscience research. However, CKA does not account for the underlying manifold and relies on numerous heuristics…

机器学习 · 计算机科学 2025-10-28 Mohammad Tariqul Islam , Du Liu , Deblina Sarkar

Modern machine learning increasingly leverages the insight that high-dimensional data often lie near low-dimensional, non-linear manifolds, an idea known as the manifold hypothesis. By explicitly modeling the geometric structure of data…

机器学习 · 计算机科学 2026-03-02 Willem Diepeveen , Deanna Needell