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Neural models learn representations of high-dimensional data on low-dimensional manifolds. Multiple factors, including stochasticities in the training process, model architectures, and additional inductive biases, may induce different…

Machine Learning · Computer Science 2025-12-02 Hanlin Yu , Berfin Inal , Georgios Arvanitidis , Soren Hauberg , Francesco Locatello , Marco Fumero

Accurate delineation of fine-scale structures is a very important yet challenging problem. Existing methods use topological information as an additional training loss, but are ultimately making pixel-wise predictions. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2022-10-04 Xiaoling Hu , Dimitris Samaras , Chao Chen

We introduce implicit Bayesian neural networks, a simple and scalable approach for uncertainty representation in deep learning. Standard Bayesian approach to deep learning requires the impractical inference of the posterior distribution…

Machine Learning · Statistics 2020-10-27 Trung Trinh , Samuel Kaski , Markus Heinonen

We study tilings of the plane that combine strong properties of different nature: combinatorial and algorithmic. We prove existence of a tile set that accepts only quasiperiodic and non-recursive tilings. Our construction is based on the…

Discrete Mathematics · Computer Science 2015-06-15 Bruno Durand , Andrei Romashchenko

In this work, we present a new method for 3D face reconstruction from sparse-view RGB images. Unlike previous methods which are built upon 3D morphable models (3DMMs) with limited details, we leverage an implicit representation to encode…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Moran Li , Haibin Huang , Yi Zheng , Mengtian Li , Nong Sang , Chongyang Ma

Existing digital sensors capture images at fixed spatial and spectral resolutions (e.g., RGB, multispectral, and hyperspectral images), and each combination requires bespoke machine learning models. Neural Implicit Functions partially…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Gengchen Mai , Ni Lao , Weiwei Sun , Yuchi Ma , Jiaming Song , Chenlin Meng , Hongxu Ma , Jinmeng Rao , Ziyuan Li , Stefano Ermon

The Fourier-based diffraction approach is an established method to extract order and symmetry propertiesfrom a given point set. We want to investigate a different method for planar sets which works in direct spaceand relies on reduction of…

Dynamical Systems · Mathematics 2023-07-19 Tobias Jakobi

Neural implicit surface reconstruction using volume rendering techniques has recently achieved significant advancements in creating high-fidelity surfaces from multiple 2D images. However, current methods primarily target scenes with…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Lintao Xiang , Hongpei Zheng , Bailin Deng , Hujun Yin

Implicit neural representations have shown potential in various applications. However, accurately reconstructing the image or providing clear details via image super-resolution remains challenging. This paper introduces Quantum Fourier…

Quantum Physics · Physics 2025-04-29 Hongni Jin , Gurinder Singh , Kenneth M. Merz

Recent progress in neural implicit functions has set new state-of-the-art in reconstructing high-fidelity 3D shapes from a collection of images. However, these approaches are limited to closed surfaces as they require the surface to be…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Xiaoxu Meng , Weikai Chen , Bo Yang

We apply physics-informed neural networks (PINNs) to first-order two-scale periodic asymptotic homogenization of the property tensor in a generic elliptic equation. The problem of lack of differentiability of property tensors at the sharp…

Materials Science · Physics 2023-01-25 Celal Soyarslan , Marc Pradas

Neural signed distance functions (SDFs) are emerging as an effective representation for 3D shapes. State-of-the-art methods typically encode the SDF with a large, fixed-size neural network to approximate complex shapes with implicit…

Computer Vision and Pattern Recognition · Computer Science 2021-01-27 Towaki Takikawa , Joey Litalien , Kangxue Yin , Karsten Kreis , Charles Loop , Derek Nowrouzezahrai , Alec Jacobson , Morgan McGuire , Sanja Fidler

Thin surfaces, such as the leaves of a plant, pose a significant challenge for implicit surface reconstruction techniques, which typically assume a closed, orientable surface. We show that by approximately interpolating a point cloud of the…

Numerical Analysis · Mathematics 2023-09-19 Riley M. Whebell , Timothy J. Moroney , Ian W. Turner , Ravindra Pethiyagoda , Scott W. McCue

Traditional 3D shape reconstruction techniques from multi-view images, such as structure from motion and multi-view stereo, face challenges in reconstructing transparent objects. Recent advances in neural radiance fields and its variants…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Haoran Zhang , Junkai Deng , Xuhui Chen , Fei Hou , Wencheng Wang , Hong Qin , Chen Qian , Ying He

During and after a course of therapy, imaging is routinely used to monitor the disease progression and assess the treatment responses. Despite of its significance, reliably capturing and predicting the spatial-temporal anatomic changes from…

Image and Video Processing · Electrical Eng. & Systems 2024-10-28 Liang Qiu , Liyue Shen , Lianli Liu , Junyan Liu , Yizheng Chen , Lei Xing

Supervised Deep-Learning (DL)-based reconstruction algorithms have shown state-of-the-art results for highly-undersampled dynamic Magnetic Resonance Imaging (MRI) reconstruction. However, the requirement of excessive high-quality…

Image and Video Processing · Electrical Eng. & Systems 2025-11-11 Jie Feng , Ruimin Feng , Qing Wu , Zhiyong Zhang , Yuyao Zhang , Hongjiang Wei

Modeling scene geometry using implicit neural representation has revealed its advantages in accuracy, flexibility, and low memory usage. Previous approaches have demonstrated impressive results using color or depth images but still have…

Robotics · Computer Science 2023-03-01 Dongyu Yan , Xiaoyang Lyu , Jieqi Shi , Yi Lin

Implicit neural representations (INRs) are increasingly being used as tools to map coordinates to signals, encompassing applications from neural fields to texture compression, shape representations, and beyond. Most INR methods are based on…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Guillaume Perez , Janarbek Matai , Takahiro Harada

A physics-informed neural network (PINN) uses physics-augmented loss functions, e.g., incorporating the residual term from governing partial differential equations (PDEs), to ensure its output is consistent with fundamental physics laws.…

Machine Learning · Computer Science 2022-12-16 Jian Cheng Wong , Chinchun Ooi , Abhishek Gupta , Yew-Soon Ong

Implicit Neural Representation (INR) has been emerging in computer vision in recent years. It has been shown to be effective in parameterising continuous signals such as dense 3D models from discrete image data, e.g. the neural radius field…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Wentian Xu , Jianbo Jiao