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There is a large variety of machine learning methodologies that are based on the extraction of spectral geometric information from data. However, the implementations of many of these methods often depend on traditional eigensolvers, which…

Machine Learning · Computer Science 2023-10-03 Chenghui Li , Rishi Sonthalia , Nicolas Garcia Trillos

Neural Radiance Fields (NeRF) have achieved remarkable progress in neural rendering. Extracting geometry from NeRF typically relies on the Marching Cubes algorithm, which uses a hand-crafted threshold to define the level set. However, this…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Yi Gu , Zhaorui Wang , Dongjun Ye , Renjing Xu

Learning vector representation for words is an important research field which may benefit many natural language processing tasks. Two limitations exist in nearly all available models, which are the bias caused by the context definition and…

Computation and Language · Computer Science 2015-06-01 Xuefeng Yang , Kezhi Mao

User generated 3D shapes in online repositories contain rich information about surfaces, primitives, and their geometric relations, often arranged in a hierarchy. We present a framework for learning representations of 3D shapes that reflect…

Computer Vision and Pattern Recognition · Computer Science 2019-10-04 Gopal Sharma , Evangelos Kalogerakis , Subhransu Maji

Feature point detection and description is the backbone for various computer vision applications, such as Structure-from-Motion, visual SLAM, and visual place recognition. While learning-based methods have surpassed traditional handcrafted…

Computer Vision and Pattern Recognition · Computer Science 2024-09-23 Ali Youssef , Francisco Vasconcelos

Sparse approximations using highly over-complete dictionaries is a state-of-the-art tool for many imaging applications including denoising, super-resolution, compressive sensing, light-field analysis, and object recognition. Unfortunately,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-03 Ali Ayremlou , Thomas Goldstein , Ashok Veeraraghavan , Richard Baraniuk

Sampling complex free energy surfaces is one of the main challenges of modern atomistic simulation methods. The presence of kinetic bottlenecks in such surfaces often renders a direct approach useless. A popular strategy is to identify a…

Computational Physics · Physics 2019-09-25 Luigi Bonati , Yue-Yu Zhang , Michele Parrinello

Most machine vision tasks (e.g., semantic segmentation) are based on images encoded and decoded by image compression algorithms (e.g., JPEG). However, these decoded images in the pixel domain introduce distortion, and they are optimized for…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Jinming Liu , Heming Sun , Jiro Katto

We present Factor Fields, a novel framework for modeling and representing signals. Factor Fields decomposes a signal into a product of factors, each represented by a classical or neural field representation which operates on transformed…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Anpei Chen , Zexiang Xu , Xinyue Wei , Siyu Tang , Hao Su , Andreas Geiger

Ptychography spans from sub-angstrom to meter scales yet suffers from convergence instability and excessive data redundancy. Here we introduce self-correcting residual neural fields as a dose-efficient framework for electron, X-ray, and…

Higher-order learning is fundamentally rooted in exploiting compositional features. It clearly hinges on enriching the representation by more elaborate interactions of the data which, in turn, tends to increase the model complexity of…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Haoyu Yun , Hamid Krim , Yufang Bao

Modern machine learning techniques are successfully being adapted to data modeled as graphs. However, many real-world graphs are typically very large and do not fit in memory, often making the problem of training machine learning models on…

Machine Learning · Computer Science 2020-12-10 Alexandra Angerd , Keshav Balasubramanian , Murali Annavaram

A novel solve-training framework is proposed to train neural network in representing low dimensional solution maps of physical models. Solve-training framework uses the neural network as the ansatz of the solution map and train the network…

Numerical Analysis · Mathematics 2020-10-16 Yingzhou Li , Jianfeng Lu , Anqi Mao

Deep neural networks (DNNs) have achieved state-of-the-art performance across a variety of traditional machine learning tasks, e.g., speech recognition, image classification, and segmentation. The ability of DNNs to efficiently approximate…

Machine Learning · Computer Science 2021-04-21 Elizabeth Newman , Lars Ruthotto , Joseph Hart , Bart van Bloemen Waanders

We introduce NeuralVDB, which improves on an existing industry standard for efficient storage of sparse volumetric data, denoted VDB [Museth 2013], by leveraging recent advancements in machine learning. Our novel hybrid data structure can…

Machine Learning · Computer Science 2024-02-13 Doyub Kim , Minjae Lee , Ken Museth

We present a novel optimization strategy for training neural networks which we call "BitNet". The parameters of neural networks are usually unconstrained and have a dynamic range dispersed over all real values. Our key idea is to limit the…

Machine Learning · Computer Science 2018-11-20 Aswin Raghavan , Mohamed Amer , Sek Chai , Graham Taylor

Many problems in machine learning are naturally expressed in the language of undirected graphical models. Here, we propose black-box learning and inference algorithms for undirected models that optimize a variational approximation to the…

Machine Learning · Computer Science 2017-11-20 Volodymyr Kuleshov , Stefano Ermon

Neural fields, also known as implicit neural representations (INRs), have shown a remarkable capability of representing, generating, and manipulating various data types, allowing for continuous data reconstruction at a low memory footprint.…

Image and Video Processing · Electrical Eng. & Systems 2024-02-29 Ahmed Ghorbel , Wassim Hamidouche , Luce Morin

Vector representations of sentences, trained on massive text corpora, are widely used as generic sentence embeddings across a variety of NLP problems. The learned representations are generally assumed to be continuous and real-valued,…

Computation and Language · Computer Science 2019-06-21 Dinghan Shen , Pengyu Cheng , Dhanasekar Sundararaman , Xinyuan Zhang , Qian Yang , Meng Tang , Asli Celikyilmaz , Lawrence Carin

In this work, a new non-stationary multiple point geostatistical algorithm called vector field-based simulation is proposed. The motivation behind this work is the modeling of a certain structures that exhibit directional features with…

Image and Video Processing · Electrical Eng. & Systems 2018-12-31 Viviana Lorena Vargas , Sinesio Pesco