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This paper presents MetricGrids, a novel grid-based neural representation that combines elementary metric grids in various metric spaces to approximate complex nonlinear signals. While grid-based representations are widely adopted for their…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Shu Wang , Yanbo Gao , Shuai Li , Chong Lv , Xun Cai , Chuankun Li , Hui Yuan , Jinglin Zhang

We present a novel type of neural fields that uses general radial bases for signal representation. State-of-the-art neural fields typically rely on grid-based representations for storing local neural features and N-dimensional linear…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Zhang Chen , Zhong Li , Liangchen Song , Lele Chen , Jingyi Yu , Junsong Yuan , Yi Xu

Purely MLP-based neural radiance fields (NeRF-based methods) often suffer from underfitting with blurred renderings on large-scale scenes due to limited model capacity. Recent approaches propose to geographically divide the scene and adopt…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Linning Xu , Yuanbo Xiangli , Sida Peng , Xingang Pan , Nanxuan Zhao , Christian Theobalt , Bo Dai , Dahua Lin

In modern computer vision, images are typically represented as a fixed uniform grid with some stride and processed via a deep convolutional neural network. We argue that deforming the grid to better align with the high-frequency image…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Jun Gao , Zian Wang , Jinchen Xuan , Sanja Fidler

Foundation models (FMs) currently dominate news headlines. They employ advanced deep learning architectures to extract structural information autonomously from vast datasets through self-supervision. The resulting rich representations of…

The last decade has witnessed the success of deep learning and the surge of publicly released trained models, which necessitates the quantification of the model functional distance for various purposes. However, quantifying the model…

Machine Learning · Computer Science 2023-09-21 Jie Song , Zhengqi Xu , Sai Wu , Gang Chen , Mingli Song

We propose a new representation for encoding 3D shapes as neural fields. The representation is designed to be compatible with the transformer architecture and to benefit both shape reconstruction and shape generation. Existing works on…

Computer Vision and Pattern Recognition · Computer Science 2022-10-19 Biao Zhang , Matthias Nießner , Peter Wonka

While many neural networks focus on layers to process information, the GAIN model uses a grid-based structure to improve biological plausibility and the dynamics of the model. The grid structure helps neurons to interact with their closest…

Neurons and Cognition · Quantitative Biology 2025-06-06 Gage K. R. Hooper

Recent years have seen substantial progress in neural generation of text, images, and audio, supported by mature training pipelines and large-scale optimization. For graphs, however, comparable progress has been more limited. We attribute…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 André Eberhard , Gerhard Neumann , Pascal Friederich

Neural fields, which represent signals as a function parameterized by a neural network, are a promising alternative to traditional discrete vector or grid-based representations. Compared to discrete representations, neural representations…

Machine Learning · Computer Science 2023-09-14 Jeffrey Gu , Kuan-Chieh Wang , Serena Yeung

Foundation models have emerged as critical components in a variety of artificial intelligence applications, and showcase significant success in natural language processing and several other domains. Meanwhile, the field of graph machine…

Machine Learning · Computer Science 2025-03-11 Jiawei Liu , Cheng Yang , Zhiyuan Lu , Junze Chen , Yibo Li , Mengmei Zhang , Ting Bai , Yuan Fang , Lichao Sun , Philip S. Yu , Chuan Shi

Coordinate-based neural implicit representation or implicit fields have been widely studied for 3D geometry representation or novel view synthesis. Recently, a series of efforts have been devoted to accelerating the speed and improving the…

Computer Vision and Pattern Recognition · Computer Science 2024-02-23 Renyi Mao , Qingshan Xu , Peng Zheng , Ye Wang , Tieru Wu , Rui Ma

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

Large pre-trained models, or foundation models, have shown impressive performance when adapted to a variety of downstream tasks, often out-performing specialized models. Hypernetworks, neural networks that generate some or all of the…

Machine Learning · Computer Science 2025-03-04 Jeffrey Gu , Serena Yeung-Levy

Graphs are essential for modeling complex relationships and capturing structured interactions in data. Graph Neural Networks (GNNs) are particularly effective when such relational structure is explicitly available, but many real-world…

Graphics · Computer Science 2026-03-02 Haozhe Chen , Soheila Farokhi , Kelvyn Bladen , Hamid Karimi , Kevin R. Moon

Recent advancements in graph learning have revolutionized the way to understand and analyze data with complex structures. Notably, Graph Neural Networks (GNNs), i.e. neural network architectures designed for learning graph representations,…

Machine Learning · Computer Science 2024-07-09 Yu Huang , Min Zhou , Menglin Yang , Zhen Wang , Muhan Zhang , Jie Wang , Hong Xie , Hao Wang , Defu Lian , Enhong Chen

We present GeoGrid-Bench, a benchmark designed to evaluate the ability of foundation models to understand geo-spatial data in the grid structure. Geo-spatial datasets pose distinct challenges due to their dense numerical values, strong…

Computation and Language · Computer Science 2025-05-27 Bowen Jiang , Yangxinyu Xie , Xiaomeng Wang , Jiashu He , Joshua Bergerson , John K Hutchison , Jordan Branham , Camillo J Taylor , Tanwi Mallick

Graph foundation models face several fundamental challenges including transferability across datasets and data scarcity, which calls into question the very feasibility of graph foundation models. However, despite similar challenges, the…

Machine Learning · Computer Science 2026-02-13 Dmitry Eremeev , Oleg Platonov , Gleb Bazhenov , Artem Babenko , Liudmila Prokhorenkova

Current state-of-the-art deep neural networks for image classification are made up of 10 - 100 million learnable weights and are therefore inherently prone to overfitting. The complexity of the weight count can be seen as a function of the…

Computer Vision and Pattern Recognition · Computer Science 2022-11-11 Antonia van Betteray , Matthias Rottmann , Karsten Kahl

We introduce the Graded Transformer framework, a new class of sequence models that embeds algebraic inductive biases through grading transformations on vector spaces. Extending Graded Neural Networks (GNNs), we propose two architectures:…

Machine Learning · Computer Science 2025-09-03 Tony Shaska
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