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Image guided depth completion aims to recover per-pixel dense depth maps from sparse depth measurements with the help of aligned color images, which has a wide range of applications from robotics to autonomous driving. However, the 3D…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 Xin Liu , Xiaofei Shao , Bo Wang , Yali Li , Shengjin Wang

To infer multilayer deep representations of high-dimensional discrete and nonnegative real vectors, we propose an augmentable gamma belief network (GBN) that factorizes each of its hidden layers into the product of a sparse connection…

Machine Learning · Statistics 2016-10-07 Mingyuan Zhou , Yulai Cong , Bo Chen

In this article, we present a visual introduction to Gaussian Belief Propagation (GBP), an approximate probabilistic inference algorithm that operates by passing messages between the nodes of arbitrarily structured factor graphs. A special…

Artificial Intelligence · Computer Science 2021-07-07 Joseph Ortiz , Talfan Evans , Andrew J. Davison

Image-guided depth completion aims to generate dense depth maps with sparse depth measurements and corresponding RGB images. Currently, spatial propagation networks (SPNs) are the most popular affinity-based methods in depth completion, but…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Yuankai Lin , Tao Cheng , Qi Zhong , Wending Zhou , Hua Yang

Depth Completion deals with the problem of converting a sparse depth map to a dense one, given the corresponding color image. Convolutional spatial propagation network (CSPN) is one of the state-of-the-art (SoTA) methods of depth…

Computer Vision and Pattern Recognition · Computer Science 2019-11-25 Xinjing Cheng , Peng Wang , Chenye Guan , Ruigang Yang

Depth prediction is one of the fundamental problems in computer vision. In this paper, we propose a simple yet effective convolutional spatial propagation network (CSPN) to learn the affinity matrix for various depth estimation tasks.…

Computer Vision and Pattern Recognition · Computer Science 2019-10-07 Xinjing Cheng , Peng Wang , Ruigang Yang

The Gaussian-radial-basis function neural network (GRBFNN) has been a popular choice for interpolation and classification. However, it is computationally intensive when the dimension of the input vector is high. To address this issue, we…

Machine Learning · Computer Science 2023-08-15 Siyuan Xing , Jianqiao Sun

Gaussian belief propagation (GBP) is a recursive computation method that is widely used in inference for computing marginal distributions efficiently. Depending on how the factorization of the underlying joint Gaussian distribution is…

Information Theory · Computer Science 2018-01-22 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

We propose a novel deep network architecture for image\\ denoising based on a Gaussian Conditional Random Field (GCRF) model. In contrast to the existing discriminative denoising methods that train a separate model for each noise level, the…

Computer Vision and Pattern Recognition · Computer Science 2015-11-13 Raviteja Vemulapalli , Oncel Tuzel , Ming-Yu Liu

Recent years have seen a growing interest in the use of belief propagation - an algorithm originally introduced for performing statistical inference on graphical models - for approximate, but highly efficient, tensor network contraction.…

Quantum Physics · Physics 2026-04-28 Joseph Tindall , Grace M. Sommers , Hilbert Kappen

Depth completion has attracted extensive attention recently due to the development of autonomous driving, which aims to recover dense depth map from sparse depth measurements. Convolutional spatial propagation network (CSPN) is one of the…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Zheyuan Xu , Hongche Yin , Jian Yao

Depth estimation from a single image is a fundamental problem in computer vision. In this paper, we propose a simple yet effective convolutional spatial propagation network (CSPN) to learn the affinity matrix for depth prediction.…

Computer Vision and Pattern Recognition · Computer Science 2018-08-02 Xinjing Cheng , Peng Wang , Ruigang Yang

Gaussian Belief Propagation (BP) algorithm is one of the most important distributed algorithms in signal processing and statistical learning involving Markov networks. It is well known that the algorithm correctly computes marginal density…

Machine Learning · Statistics 2019-03-08 Zhaorong Zhang , Minyue Fu

Belief Propagation (BP) is a powerful algorithm for distributed inference in probabilistic graphical models, however it quickly becomes infeasible for practical compute and memory budgets. Many efficient, non-parametric forms of BP have…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-30 Tom Yates , Yuzhou Cheng , Ignacio Alzugaray , Danyal Akarca , Pedro A. M. Mediano , Andrew J. Davison

Depth completion aims to derive a dense depth map from sparse depth measurements with a synchronized color image. Current state-of-the-art (SOTA) methods are predominantly propagation-based, which work as an iterative refinement on the…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Jie Tang , Fei-Peng Tian , Boshi An , Jian Li , Ping Tan

Gaussian belief propagation (BP) is a computationally efficient method to approximate the marginal distribution and has been widely used for inference with high dimensional data as well as distributed estimation in large-scale networks.…

Information Theory · Computer Science 2017-11-29 Jian Du , Soummya Kar , José M. F. Moura

We propose the Gaussian Gated Linear Network (G-GLN), an extension to the recently proposed GLN family of deep neural networks. Instead of using backpropagation to learn features, GLNs have a distributed and local credit assignment…

Machine Learning · Computer Science 2020-10-22 David Budden , Adam Marblestone , Eren Sezener , Tor Lattimore , Greg Wayne , Joel Veness

Graph Convolutional Network (GCN) has experienced great success in graph analysis tasks. It works by smoothing the node features across the graph. The current GCN models overwhelmingly assume that the node feature information is complete.…

Machine Learning · Computer Science 2020-12-08 Hibiki Taguchi , Xin Liu , Tsuyoshi Murata

Depth completion is a pivotal challenge in computer vision, aiming at reconstructing the dense depth map from a sparse one, typically with a paired RGB image. Existing learning based models rely on carefully prepared but limited data,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Shenglun Chen , Xinzhu Ma , Hong Zhang , Haojie Li , Zhihui Wang

We present the Generalized Spatial Propagation Network (GSPN), a new attention mechanism optimized for vision tasks that inherently captures 2D spatial structures. Existing attention models, including transformers, linear attention, and…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Hongjun Wang , Wonmin Byeon , Jiarui Xu , Jinwei Gu , Ka Chun Cheung , Xiaolong Wang , Kai Han , Jan Kautz , Sifei Liu
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