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The performance of the data-dependent neural tangent kernel (NTK; Jacot et al. (2018)) associated with a trained deep neural network (DNN) often matches or exceeds that of the full network. This implies that DNN training via gradient…

Machine Learning · Computer Science 2025-05-22 Johannes Schwab , Bryan Kelly , Semyon Malamud , Teng Andrea Xu

We present Neural Correspondence Prior (NCP), a new paradigm for computing correspondences between 3D shapes. Our approach is fully unsupervised and can lead to high-quality correspondences even in challenging cases such as sparse point…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Souhaib Attaiki , Maks Ovsjanikov

Matrix completion problems arise in many applications including recommendation systems, computer vision, and genomics. Increasingly larger neural networks have been successful in many of these applications, but at considerable computational…

Machine Learning · Computer Science 2022-05-11 Adityanarayanan Radhakrishnan , George Stefanakis , Mikhail Belkin , Caroline Uhler

The development of methods to guide the design of neural networks is an important open challenge for deep learning theory. As a paradigm for principled neural architecture design, we propose the translation of high-performing kernels, which…

Machine Learning · Computer Science 2022-08-16 James B. Simon , Sajant Anand , Michael R. DeWeese

The Neural Tangent Kernel (NTK) characterizes the behavior of infinitely wide neural nets trained under least squares loss by gradient descent. However, despite its importance, the super-quadratic runtime of kernel methods limits the use of…

Machine Learning · Computer Science 2021-07-28 Amir Zandieh

3D geometry is a very informative cue when interacting with and navigating an environment. This writing proposes a new approach to 3D reconstruction and scene understanding, which implicitly learns 3D geometry from depth maps pairing a deep…

Computer Vision and Pattern Recognition · Computer Science 2018-08-22 Dario Rethage , Federico Tombari , Felix Achilles , Nassir Navab

Incorporation of prior knowledge about organ shape and location is key to improve performance of image analysis approaches. In particular, priors can be useful in cases where images are corrupted and contain artefacts due to limitations in…

The process of aligning a pair of shapes is a fundamental operation in computer graphics. Traditional approaches rely heavily on matching corresponding points or features to guide the alignment, a paradigm that falters when significant…

Graphics · Computer Science 2018-11-01 Rana Hanocka , Noa Fish , Zhenhua Wang , Raja Giryes , Shachar Fleishman , Daniel Cohen-Or

Deep learning is emerging as a new paradigm for solving inverse imaging problems. However, the deep learning methods often lack the assurance of traditional physics-based methods due to the lack of physical information considerations in…

Image and Video Processing · Electrical Eng. & Systems 2020-07-20 Dongdong Chen , Mike E. Davies

In this paper we introduce the deep kernelized autoencoder, a neural network model that allows an explicit approximation of (i) the mapping from an input space to an arbitrary, user-specified kernel space and (ii) the back-projection from…

Machine Learning · Statistics 2017-02-09 Michael Kampffmeyer , Sigurd Løkse , Filippo Maria Bianchi , Robert Jenssen , Lorenzo Livi

We propose a data-driven method for recovering miss-ing parts of 3D shapes. Our method is based on a new deep learning architecture consisting of two sub-networks: a global structure inference network and a local geometry refinement…

Computer Vision and Pattern Recognition · Computer Science 2017-09-26 Xiaoguang Han , Zhen Li , Haibin Huang , Evangelos Kalogerakis , Yizhou Yu

We propose a novel learning-based approach for robust 3D shape matching. Our method builds upon deep functional maps and can be trained in a fully unsupervised manner. Previous deep functional map methods mainly focus on predicting…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Dongliang Cao , Paul Roetzer , Florian Bernard

Recent work has shown that the structure of convolutional neural networks (CNNs) induces a strong prior that favors natural images. This prior, known as a deep image prior (DIP), is an effective regularizer in inverse problems such as image…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Pallabi Ghosh , Vibhav Vineet , Larry S. Davis , Abhinav Shrivastava , Sudipta Sinha , Neel Joshi

Humans effortlessly infer the 3D shape of objects. What computations underlie this ability? Although various computational models have been proposed, none of them capture the human ability to match object shape across viewpoints. Here, we…

Computer Vision and Pattern Recognition · Computer Science 2025-06-13 Thomas P. O'Connell , Tyler Bonnen , Yoni Friedman , Ayush Tewari , Josh B. Tenenbaum , Vincent Sitzmann , Nancy Kanwisher

Scene parsing is an important and challenging prob- lem in computer vision. It requires labeling each pixel in an image with the category it belongs to. Tradition- ally, it has been approached with hand-engineered features from color…

Machine Learning · Statistics 2014-11-18 Rahul Mohan

A significant weakness of most current deep Convolutional Neural Networks is the need to train them using vast amounts of manu- ally labelled data. In this work we propose a unsupervised framework to learn a deep convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2016-08-01 Ravi Garg , Vijay Kumar BG , Gustavo Carneiro , Ian Reid

As 3D scanning solutions become increasingly popular, several deep learning setups have been developed geared towards that task of scan completion, i.e., plausibly filling in regions there were missed in the raw scans. These methods,…

Computer Vision and Pattern Recognition · Computer Science 2020-02-25 Xuelin Chen , Baoquan Chen , Niloy J. Mitra

Deep learning-based methods have achieved significant successes on solving the blind super-resolution (BSR) problem. However, most of them request supervised pre-training on labelled datasets. This paper proposes an unsupervised kernel…

Image and Video Processing · Electrical Eng. & Systems 2024-04-29 Zhixiong Yang , Jingyuan Xia , Shengxi Li , Xinghua Huang , Shuanghui Zhang , Zhen Liu , Yaowen Fu , Yongxiang Liu

In this paper, we present a self-prior-based mesh inpainting framework that requires only an incomplete mesh as input, without the need for any training datasets. Additionally, our method maintains the polygonal mesh format throughout the…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Shota Hattori , Tatsuya Yatagawa , Yutaka Ohtake , Hiromasa Suzuki

Neural tangent kernels (NTKs) are a powerful tool for analyzing deep, non-linear neural networks. In the infinite-width limit, NTKs can easily be computed for most common architectures, yielding full analytic control over the training…

Machine Learning · Computer Science 2026-02-16 Max Guillen , Philipp Misof , Jan E. Gerken