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Graph embedding seeks to build a low-dimensional representation of a graph G. This low-dimensional representation is then used for various downstream tasks. One popular approach is Laplacian Eigenmaps, which constructs a graph embedding…

Machine Learning · Computer Science 2020-03-10 Leo Torres , Kevin S Chan , Tina Eliassi-Rad

Using geometric landmarks like lines and planes can increase navigation accuracy and decrease map storage requirements compared to commonly-used LiDAR point cloud maps. However, landmark-based registration for applications like loop closure…

Robotics · Computer Science 2022-12-27 Parker C. Lusk , Devarth Parikh , Jonathan P. How

Simultaneously odometry and mapping using LiDAR data is an important task for mobile systems to achieve full autonomy in large-scale environments. However, most existing LiDAR-based methods prioritize tracking quality over reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Junyuan Deng , Xieyuanli Chen , Songpengcheng Xia , Zhen Sun , Guoqing Liu , Wenxian Yu , Ling Pei

The introduction of diffusion models in anomaly detection has paved the way for more effective and accurate image reconstruction in pathologies. However, the current limitations in controlling noise granularity hinder diffusion models'…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Cosmin I. Bercea , Michael Neumayr , Daniel Rueckert , Julia A. Schnabel

Feature attribution maps are a popular approach to highlight the most important pixels in an image for a given prediction of a model. Despite a recent growth in popularity and available methods, little attention is given to the objective…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Arne Gevaert , Axel-Jan Rousseau , Thijs Becker , Dirk Valkenborg , Tijl De Bie , Yvan Saeys

Due to the rapid growth of machine learning tools and specifically deep networks in various computer vision and image processing areas, application of Convolutional Neural Networks for watermarking have recently emerged. In this paper, we…

Kernel-based non-linear dimensionality reduction methods, such as Local Linear Embedding (LLE) and Laplacian Eigenmaps, rely heavily upon pairwise distances or similarity scores, with which one can construct and study a weighted graph…

Statistics Theory · Mathematics 2019-08-06 Tingran Gao

In this paper, we propose a fully differentiable pipeline for estimating accurate dense correspondences between 3D point clouds. The proposed pipeline is an extension and a generalization of the functional maps framework. However, instead…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Riccardo Marin , Marie-Julie Rakotosaona , Simone Melzi , Maks Ovsjanikov

Laplacian eigenvectors capture natural community structures on graphs and are widely used in spectral clustering and manifold learning. The use of Laplacian eigenvectors as embeddings for the purpose of multiscale graph comparison has…

Machine Learning · Statistics 2023-02-07 Edric Tam , David Dunson

In this paper, we propose a deep convolutional neural network for learning the embeddings of images in order to capture the notion of visual similarity. We present a deep siamese architecture that when trained on positive and negative pairs…

Computer Vision and Pattern Recognition · Computer Science 2019-01-14 Rishab Sharma , Anirudha Vishvakarma

Simultaneous localization and mapping (SLAM) using automotive radar sensors can provide enhanced sensing capabilities for autonomous systems. In SLAM applications, with a greater requirement for the environment map, information on the…

Robotics · Computer Science 2022-11-01 Shuai Sun , Christopher Gilliam , Kamran Ghorbani , Glenn Matthews , Beth Jelfs

This paper presents AutoMarks, an automated and transferable watermarking framework that leverages graph neural networks to reduce the watermark search overheads during the placement stage. AutoMarks's novel automated watermark search is…

Cryptography and Security · Computer Science 2024-07-31 Ruisi Zhang , Rachel Selina Rajarathnam , David Z. Pan , Farinaz Koushanfar

Diffusion-Map-AutoEncoder (DMAE) pairs a diffusion-map encoder (using the Nystr\"om method) with linear or RBF Gaussian-Process latent mean decoders, yielding closed-form inductive mappings and strong reconstructions.

Data Structures and Algorithms · Computer Science 2025-10-31 Julio Candanedo

A Point Distribution Model (PDM) is the basis of a Statistical Shape Model (SSM) that relies on a set of landmark points to represent a shape and characterize the shape variation. In this work, we present a self-supervised approach to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-10 Chun-Hung Chao , Marc Niethammer

The problem of recovering the configuration of points from their partial pairwise distances, referred to as the Euclidean Distance Matrix Completion (EDMC) problem, arises in a broad range of applications, including sensor network…

Optimization and Control · Mathematics 2026-05-07 Chandler Smith , HanQin Cai , Abiy Tasissa

Time-delay embedding is a powerful technique for reconstructing the state space of nonlinear time series. However, the fidelity of reconstruction relies on the assumption that the time-delay map is an embedding, which is implicitly…

Computation · Statistics 2026-02-02 Yiting Duan , Zhikun Zhang , Yi Guo

Deep learning techniques for anatomical landmark localization (ALL) have shown great success, but their reliance on large annotated datasets remains a problem due to the tedious and costly nature of medical data acquisition and annotation.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Arnela Hadzic , Lea Bogensperger , Simon Johannes Joham , Martin Urschler

An information-theoretic approach is proposed to watermark embedding and detection under limited detector resources. First, we consider the attack-free scenario under which asymptotically optimal decision regions in the Neyman-Pearson sense…

Information Theory · Computer Science 2016-11-15 Neri Merhav , Erez Sabbag

Problems with localized nonhomogeneous material properties present well-known challenges for numerical simulations. In particular, such problems may feature large differences in length scales, causing difficulties with meshing and…

Numerical Analysis · Mathematics 2021-11-23 Alex Viguerie , Silvia Bertoluzza , Alessandro Veneziani , Ferdinando Auricchio

Diffusion models achieve state-of-the-art performance in various generation tasks. However, their theoretical foundations fall far behind. This paper studies score approximation, estimation, and distribution recovery of diffusion models,…

Machine Learning · Computer Science 2023-02-15 Minshuo Chen , Kaixuan Huang , Tuo Zhao , Mengdi Wang