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Related papers: A Metric for Linear Symmetry-Based Disentanglement

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This paper describes one objective function for learning semantically coherent feature embeddings in multi-output classification problems, i.e., when the response variables have dimension higher than one. In particular, we consider the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Hugo Proença , Ehsan Yaghoubi , Pendar Alirezazadeh

Symmetry plays a fundamental role in understanding natural phenomena and mathematical structures. This work develops a comprehensive theory for studying the persistent symmetries and degree of asymmetry of finite point configurations over…

Algebraic Topology · Mathematics 2025-08-12 Jian Liu , Dong Chen , Guo-Wei Wei

A novel perturbative method, proposed by Panda {\it et al.} [1] to solve the Helmholtz equation in two dimensions, is extended to three dimensions for general boundary surfaces. Although a few numerical works are available in the literature…

Mathematical Physics · Physics 2016-06-21 Subhasis Panda , S. Pratik Khastgir

This paper discusses the challenges of evaluating deblurring-methods quality and proposes a reduced-reference metric based on machine learning. Traditional quality-assessment metrics such as PSNR and SSIM are common for this task, but not…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Nikita Alutis , Egor Chistov , Mikhail Dremin , Dmitriy Vatolin

Extracting structured representations from raw visual data is an important and long-standing challenge in machine learning. Recently, techniques for unsupervised learning of object-centric representations have raised growing interest. In…

Computer Vision and Pattern Recognition · Computer Science 2025-01-24 Riccardo Majellaro , Jonathan Collu , Aske Plaat , Thomas M. Moerland

Symmetry is an important aesthetic criteria in graph drawing and network visualisation. Symmetric graph drawings aim to faithfully represent automorphisms of graphs as geometric symmetries in a drawing. In this paper, we design and…

Data Structures and Algorithms · Computer Science 2019-10-14 Amyra Meidiana , Seok-Hee Hong , Peter Eades , Daniel Keim

Symmetry is widely applied in problems such as the design of equivariant networks and the discovery of governing equations, but in complex scenarios, it is not known in advance. Most previous symmetry discovery methods are limited to linear…

Machine Learning · Computer Science 2025-10-03 Lexiang Hu , Yikang Li , Zhouchen Lin

In this paper we propose an approach for monocular 3D object detection from a single RGB image, which leverages a novel disentangling transformation for 2D and 3D detection losses and a novel, self-supervised confidence score for 3D…

Computer Vision and Pattern Recognition · Computer Science 2019-05-30 Andrea Simonelli , Samuel Rota Rota Bulò , Lorenzo Porzi , Manuel López-Antequera , Peter Kontschieder

Multi-view (or -modality) representation learning aims to understand the relationships between different view representations. Existing methods disentangle multi-view representations into consistent and view-specific representations by…

Computer Vision and Pattern Recognition · Computer Science 2023-08-07 Guanzhou Ke , Yang Yu , Guoqing Chao , Xiaoli Wang , Chenyang Xu , Shengfeng He

Metric learning aims to embed one metric space into another to benefit tasks like classification and clustering. Although a greatly distorted metric space has a high degree of freedom to fit training data, it is prone to overfitting and…

Machine Learning · Computer Science 2015-05-12 Renjie Liao , Jianping Shi , Ziyang Ma , Jun Zhu , Jiaya Jia

Light field (LF) cameras record both intensity and directions of light rays, and encode 3D scenes into 4D LF images. Recently, many convolutional neural networks (CNNs) have been proposed for various LF image processing tasks. However, it…

Image and Video Processing · Electrical Eng. & Systems 2023-07-25 Yingqian Wang , Longguang Wang , Gaochang Wu , Jungang Yang , Wei An , Jingyi Yu , Yulan Guo

Disentangling the encodings of neural models is a fundamental aspect for improving interpretability, semantic control and downstream task performance in Natural Language Processing. Currently, most disentanglement methods are unsupervised…

Computation and Language · Computer Science 2023-02-17 Danilo S. Carvalho , Giangiacomo Mercatali , Yingji Zhang , Andre Freitas

Image translation methods typically aim to manipulate a set of labeled attributes (given as supervision at training time e.g. domain label) while leaving the unlabeled attributes intact. Current methods achieve either: (i) disentanglement,…

Computer Vision and Pattern Recognition · Computer Science 2021-09-09 Aviv Gabbay , Yedid Hoshen

In this article, we illustrate how the concept of slope limiter can be interpreted graphically, i.e., how the slope of reconstructed piecewise linear function is limited by four bounding lines that connect cell-averaged data and its…

Numerical Analysis · Mathematics 2021-02-09 Ling Zou

The goal of supervised representation learning is to construct effective data representations for prediction. Among all the characteristics of an ideal nonparametric representation of high-dimensional complex data, sufficiency, low…

Machine Learning · Computer Science 2022-09-02 Jian Huang , Yuling Jiao , Xu Liao , Jin Liu , Zhou Yu

Image classification models tend to make decisions based on peripheral attributes of data items that have strong correlation with a target variable (i.e., dataset bias). These biased models suffer from the poor generalization capability…

Machine Learning · Computer Science 2021-10-26 Jungsoo Lee , Eungyeup Kim , Juyoung Lee , Jihyeon Lee , Jaegul Choo

Supervised manifold learning methods learn data representations by preserving the geometric structure of data while enhancing the separation between data samples from different classes. In this work, we propose a theoretical study of…

Machine Learning · Computer Science 2018-01-08 Elif Vural , Christine Guillemot

Sparse representation has been widely used in data compression, signal and image denoising, dimensionality reduction and computer vision. While overcomplete dictionaries are required for sparse representation of multidimensional data,…

Signal Processing · Electrical Eng. & Systems 2021-03-18 Elyas Sabeti , Peter X. K. Song , Alfred O. Hero

Learning disentangled representations of data is a fundamental problem in artificial intelligence. Specifically, disentangled latent representations allow generative models to control and compose the disentangled factors in the synthesis…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Yotam Nitzan , Amit Bermano , Yangyan Li , Daniel Cohen-Or

Image classification is an essential part of computer vision which assigns a given input image to a specific category based on the similarity evaluation within given criteria. While promising classifiers can be obtained through deep…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Emma Andrews , Prabhat Mishra