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We propose a principled approach for non-isometric landmark-preserving non-rigid shape matching. Our method is based on the functional maps framework, but rather than promoting isometries we focus instead on near-conformal maps that…

Computer Vision and Pattern Recognition · Computer Science 2022-06-23 Mikhail Panine , Maxime Kirgo , Maks Ovsjanikov

In this paper, we will discuss the use of a Sampling Method to reconstruct impenetrable inclusions from Electrostatic Cauchy data. We consider the case of a perfectly conducting and impedance inclusion. In either case, we show that the…

Analysis of PDEs · Mathematics 2021-02-10 Isaac Harris

Image watermarking is a technique for hiding information into images that can withstand distortions while requiring the encoded image to be perceptually identical to the original image. Recent work based on deep neural networks (DNN) has…

Computer Vision and Pattern Recognition · Computer Science 2022-11-17 Guanhui Ye , Jiashi Gao , Wei Xie , Bo Yin , Xuetao Wei

Deep neural networks have been extensively applied in the medical domain for various tasks, including image classification, segmentation, and landmark detection. However, their application is often hindered by data scarcity, both in terms…

Computer Vision and Pattern Recognition · Computer Science 2025-03-07 Roberto Di Via , Francesca Odone , Vito Paolo Pastore

Graph diffusion models have made significant progress in learning structured graph data and have demonstrated strong potential for predictive tasks. Existing approaches typically embed node, edge, and graph-level features into a unified…

Machine Learning · Computer Science 2025-12-12 Yisen Gao , Xingcheng Fu , Qingyun Sun , Jianxin Li , Xianxian Li

Deep neural networks can model images with rich latent representations, but they cannot naturally conceptualize structures of object categories in a human-perceptible way. This paper addresses the problem of learning object structures in an…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Yuting Zhang , Yijie Guo , Yixin Jin , Yijun Luo , Zhiyuan He , Honglak Lee

Recently, the theory of diffusion maps was extended to a large class of local kernels with exponential decay which were shown to represent various Riemannian geometries on a data set sampled from a manifold embedded in Euclidean space.…

Classical Analysis and ODEs · Mathematics 2015-09-28 Tyrus Berry , John Harlim

Robust invisible watermarking schemes aim to embed hidden information into images such that the watermark survives common manipulations. However, powerful diffusion-based image generation and editing techniques now pose a new threat to…

Cryptography and Security · Computer Science 2026-02-25 Fan Guo , Jiyu Kang , Qi Ming , Emily Davis , Finn Carter

The accuracy of indoor wireless localization systems can be substantially enhanced by map-awareness, i.e., by the knowledge of the map of the environment in which localization signals are acquired. In fact, this knowledge can be exploited…

Information Theory · Computer Science 2014-02-18 Francesco Montorsi , Fabrizio Pancaldi , Giorgio M. Vitetta

We introduce the concept of Hypoelliptic Diffusion Maps (HDM), a framework generalizing Diffusion Maps in the context of manifold learning and dimensionality reduction. Standard non-linear dimensionality reduction methods (e.g., LLE,…

Statistics Theory · Mathematics 2015-03-19 Tingran Gao

Neural network approaches for meta-learning distributions over functions have desirable properties such as increased flexibility and a reduced complexity of inference. Building on the successes of denoising diffusion models for generative…

Machine Learning · Statistics 2023-06-08 Vincent Dutordoir , Alan Saul , Zoubin Ghahramani , Fergus Simpson

We present network embedding algorithms that capture information about a node from the local distribution over node attributes around it, as observed over random walks following an approach similar to Skip-gram. Observations from…

Machine Learning · Computer Science 2021-03-23 Benedek Rozemberczki , Carl Allen , Rik Sarkar

This paper introduces a versatile paradigm for integrating multi-view reflectance (optional) and normal maps acquired through photometric stereo. Our approach employs a pixel-wise joint re-parameterization of reflectance and normal,…

Computer Vision and Pattern Recognition · Computer Science 2024-04-01 Baptiste Brument , Robin Bruneau , Yvain Quéau , Jean Mélou , François Bernard Lauze , Jean-Denis , Jean-Denis Durou , Lilian Calvet

Spectrum maps, which provide RF spectrum metrics such as power spectral density for every location in a geographic area, find numerous applications in wireless communications such as interference control, spectrum management, resource…

Signal Processing · Electrical Eng. & Systems 2019-12-02 Yves Teganya , Daniel Romero

Finding meaningful representations and distances of hierarchical data is important in many fields. This paper presents a new method for hierarchical data embedding and distance. Our method relies on combining diffusion geometry, a central…

Machine Learning · Computer Science 2023-05-31 Ya-Wei Eileen Lin , Ronald R. Coifman , Gal Mishne , Ronen Talmon

It can be shown that Stable Diffusion has a permutation-invariance property with respect to the rows of Contrastive Language-Image Pretraining (CLIP) embedding matrices. This inspired the novel observation that these embeddings can…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Nicholas Karris , Luke Durell , Javier Flores , Tegan Emerson

This article proposes a novel methodology to learn a stable robot control law driven by dynamical systems. The methodology requires a single demonstration and can deduce a stable dynamics in arbitrary high dimensions. The method relies on…

Robotics · Computer Science 2022-07-19 Sthithpragya Gupta , Aradhana Nayak , Aude Billard

Nonlinear dimensionality reduction methods have demonstrated top-notch performance in many pattern recognition and image classification tasks. Despite their popularity, they suffer from highly expensive time and memory requirements, which…

Computational Geometry · Computer Science 2014-04-08 Amir Najafi , Amir Joudaki , Emad Fatemizadeh

Autonomous driving requires an understanding of the static environment from sensor data. Learned Bird's-Eye View (BEV) encoders are commonly used to fuse multiple inputs, and a vector decoder predicts a vectorized map representation from…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Thomas Monninger , Zihan Zhang , Zhipeng Mo , Md Zafar Anwar , Steffen Staab , Sihao Ding

Real-world objects and environments are predominantly composed of edge features, including straight lines and curves. Such edges are crucial elements for various applications, such as CAD modeling, surface meshing, lane mapping, etc.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-30 Lei Li , Songyou Peng , Zehao Yu , Shaohui Liu , Rémi Pautrat , Xiaochuan Yin , Marc Pollefeys