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We develop a framework for generalized variational inference in infinite-dimensional function spaces and use it to construct a method termed Gaussian Wasserstein inference (GWI). GWI leverages the Wasserstein distance between Gaussian…

机器学习 · 统计学 2022-10-18 Veit D. Wild , Robert Hu , Dino Sejdinovic

With the rapidly increasing demand for oriented object detection (OOD), recent research involving weakly-supervised detectors for learning OOD from point annotations has gained great attention. In this paper, we rethink this challenging…

计算机视觉与模式识别 · 计算机科学 2025-02-10 Yi Yu , Botao Ren , Peiyuan Zhang , Mingxin Liu , Junwei Luo , Shaofeng Zhang , Feipeng Da , Junchi Yan , Xue Yang

The Wasserstein barycenter is a geometric construct which captures the notion of centrality among probability distributions, and which has found many applications in machine learning. However, most algorithms for finding even an approximate…

数据结构与算法 · 计算机科学 2021-10-20 Zachary Izzo , Sandeep Silwal , Samson Zhou

Interference detection of arbitrary geometric objects is not a trivial task due to the heavy computational load imposed by implementation issues. The hierarchically structured bounding boxes help us to quickly isolate the contour of…

图形学 · 计算机科学 2016-11-14 L. A. Rivera , Vania V. Estrela , P. C. P. Carvalho

In this paper, we propose a novel form of the loss function to increase the performance of LiDAR-based 3d object detection and obtain more explainable and convincing uncertainty for the prediction. The loss function was designed using…

计算机视觉与模式识别 · 计算机科学 2020-08-19 Hujie Pan , Zining Wang , Wei Zhan , Masayoshi Tomizuka

Dynamic scene rendering has taken a leap forward with the rise of 4D Gaussian Splatting, but there's still one elusive challenge: how to make 3D Gaussians move through time as naturally as they would in the real world, all while keeping the…

计算机视觉与模式识别 · 计算机科学 2025-02-04 Junli Deng , Yihao Luo

Gromov--Wasserstein (GW) distances compare graphs, shapes, and point clouds through internal distances, without requiring a common coordinate system. This invariance is powerful, but discrete GW is a nonconvex quadratic optimal transport…

机器学习 · 计算机科学 2026-05-15 Ao Xu , Tieru Wu

We propose a new minimum-distance estimator for linear random coefficient models. This estimator integrates the recently advanced sliced Wasserstein distance with the nearest neighbor methods, both of which enhance computational efficiency.…

统计理论 · 数学 2025-04-25 Keunwoo Lim , Ting Ye , Fang Han

Oriented object detection predicts orientation in addition to object location and bounding box. Precisely predicting orientation remains challenging due to angular periodicity, which introduces boundary discontinuity issues and symmetry…

计算机视觉与模式识别 · 计算机科学 2024-11-19 Xavier Bou , Gabriele Facciolo , Rafael Grompone von Gioi , Jean-Michel Morel , Thibaud Ehret

Rotated object detection in aerial images has received increasing attention for a wide range of applications. However, it is also a challenging task due to the huge variations of scale, rotation, aspect ratio, and densely arranged targets.…

计算机视觉与模式识别 · 计算机科学 2021-11-29 Feng Zhang , Xueying Wang , Shilin Zhou , Yingqian Wang

Lesions characterized by computed tomography (CT) scans, are arguably often elliptical objects. However, current lesion detection systems are predominantly adopted from the popular Region Proposal Networks (RPNs) that only propose bounding…

计算机视觉与模式识别 · 计算机科学 2019-02-27 Yi Li

Generative adversarial nets (GANs) and variational auto-encoders have significantly improved our distribution modeling capabilities, showing promise for dataset augmentation, image-to-image translation and feature learning. However, to…

Boundary point detection aims to outline the external contour structure of clusters and enhance the inter-cluster discrimination, thus bolstering the performance of the downstream classification and clustering tasks. However, existing…

机器学习 · 计算机科学 2025-02-26 Dehua Peng , Zhipeng Gui , Jie Gui , Huayi Wu

Bounding box regression is an important component in object detection. Recent work achieves promising performance by optimizing the Intersection over Union~(IoU). However, IoU-based loss has the gradient vanish problem in the case of low…

计算机视觉与模式识别 · 计算机科学 2022-04-27 Tu Zheng , Shuai Zhao , Yang Liu , Zili Liu , Deng Cai

We study the problem of reconstructing the latent geometry of a $d$-dimensional Riemannian manifold from a random geometric graph. While recent works have made significant progress in manifold recovery from random geometric graphs, and more…

机器学习 · 统计学 2026-04-02 Han Huang , Pakawut Jiradilok , Elchanan Mossel

The Wasserstein distance has emerged as a key metric to quantify distances between probability distributions, with applications in various fields, including machine learning, control theory, decision theory, and biological systems.…

机器学习 · 计算机科学 2026-02-10 Eduardo Figueiredo , Steven Adams , Luca Laurenti

Bounding box regression plays a crucial role in the field of object detection, and the positioning accuracy of object detection largely depends on the loss function of bounding box regression. Existing researchs improve regression…

计算机视觉与模式识别 · 计算机科学 2024-01-22 Hao Zhang , Shuaijie Zhang

3D object detection is an essential task for achieving autonomous driving. Existing anchor-based detection methods rely on empirical heuristics setting of anchors, which makes the algorithms lack elegance. In recent years, we have witnessed…

计算机视觉与模式识别 · 计算机科学 2023-09-06 Xin Zhou , Jinghua Hou , Tingting Yao , Dingkang Liang , Zhe Liu , Zhikang Zou , Xiaoqing Ye , Jianwei Cheng , Xiang Bai

Detection and tracking of vehicles captured by traffic surveillance cameras is a key component of intelligent transportation systems. We present an improved version of our algorithm for detection of 3D bounding boxes of vehicles, their…

计算机视觉与模式识别 · 计算机科学 2021-01-12 Viktor Kocur , Milan Ftáčnik

3D Gaussian Splatting (3DGS) has become a powerful representation for image-based object reconstruction, yet its performance drops sharply in sparse-view settings. Prior works address this limitation by employing diffusion models to repair…

计算机视觉与模式识别 · 计算机科学 2026-01-29 Hung Nguyen , Runfa Li , An Le , Truong Nguyen