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Gaussian process regression (GPR) has been a well-known machine learning method for various applications such as uncertainty quantifications (UQ). However, GPR is inherently a data-driven method, which requires sufficiently large dataset.…

Machine Learning · Computer Science 2023-05-03 Cheng Chang , Tieyong Zeng

Bayesian computational strategies for inference can be inefficient in approximating the posterior distribution in models that exhibit some form of periodicity. This is because the probability mass of the marginal posterior distribution of…

Machine Learning · Statistics 2025-12-01 Javier Lopez-Santiago , Luca Martino , Joaquin Miguez , Gonzalo Vazquez-Vilar

We consider the accuracy of an approximate posterior distribution in nonparametric regression problems by combining posterior distributions computed on subsets of the data defined by the locations of the independent variables. We show that…

Statistics Theory · Mathematics 2025-04-29 Botond Szabo , Amine Hadji , Aad van der Vaart

Kernel-based methods have been recently introduced for linear system identification as an alternative to parametric prediction error methods. Adopting the Bayesian perspective, the impulse response is modeled as a non-stationary Gaussian…

Optimization and Control · Mathematics 2017-03-16 Mattia Zorzi , Alessandro Chiuso

Event cameras are emerging vision sensors whose noise is challenging to characterize. Existing denoising methods for event cameras are often designed in isolation and thus consider other tasks, such as motion estimation, separately (i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Shintaro Shiba , Yoshimitsu Aoki , Guillermo Gallego

In this paper, we propose a general collaborative sparse representation framework for multi-sensor classification, which takes into account the correlations as well as complementary information between heterogeneous sensors simultaneously…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Minh Dao , Nam H. Nguyen , Nasser M. Nasrabadi , Trac D. Tran

We present a theoretically grounded Gaussian process framework that leverages neural feature maps to construct expressive kernels. We show that the learned feature map can be interpreted as an optimal low-rank approximation to a Gram matrix…

Machine Learning · Statistics 2026-05-12 Anthony Stephenson

We propose a learning-based method that solves monocular stereo and can be extended to fuse depth information from multiple target frames. Given two unconstrained images from a monocular camera with known intrinsic calibration, our network…

Computer Vision and Pattern Recognition · Computer Science 2019-09-13 Kaixuan Wang , Shaojie Shen

The application of Gaussian processes (GPs) to large data sets is limited due to heavy memory and computational requirements. A variety of methods has been proposed to enable scalability, one of which is to exploit structure in the kernel…

Machine Learning · Computer Science 2019-12-30 Jan Graßhoff , Alexandra Jankowski , Philipp Rostalski

Magnetic Resonance Imaging allows high resolution data acquisition with the downside of motion sensitivity due to relatively long acquisition times. Even during the acquisition of a single 2D slice, motion can severely corrupt the image.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Mathias S. Feinler , Bernadette N. Hahn

Data driven segmentation is an important initial step of shape prior-based segmentation methods since it is assumed that the data term brings a curve to a plausible level so that shape and data terms can then work together to produce better…

Image and Video Processing · Electrical Eng. & Systems 2019-02-19 Ertunc Erdil , Ali Ozgur Argunsah , Tolga Tasdizen , Devrim Unay , Mujdat Cetin

We propose a deblurring method that incorporates gyroscope measurements into a convolutional neural network (CNN). With the help of such measurements, it can handle extremely strong and spatially-variant motion blur. At the same time, the…

Computer Vision and Pattern Recognition · Computer Science 2018-11-26 Janne Mustaniemi , Juho Kannala , Simo Särkkä , Jiri Matas , Janne Heikkilä

The focus of this work is the convergence of non-stationary and deep Gaussian process regression. More precisely, we follow a Bayesian approach to regression or interpolation, where the prior placed on the unknown function $f$ is a…

Statistics Theory · Mathematics 2025-03-19 Conor Osborne , Aretha L. Teckentrup

We propose Differentiable Stereopsis, a multi-view stereo approach that reconstructs shape and texture from few input views and noisy cameras. We pair traditional stereopsis and modern differentiable rendering to build an end-to-end model…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Shubham Goel , Georgia Gkioxari , Jitendra Malik

Stereo vision generally involves the computation of pixel correspondences and estimation of disparities between rectified image pairs. In many applications, including simultaneous localization and mapping (SLAM) and 3D object detection, the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-11 WeiQin Chuah , Ruwan Tennakoon , Reza Hoseinnezhad , Alireza Bab-Hadiashar , David Suter

Dynamic stereo matching is the task of estimating consistent disparities from stereo videos with dynamic objects. Recent learning-based methods prioritize optimal performance on a single stereo pair, resulting in temporal inconsistencies.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Junpeng Jing , Ye Mao , Krystian Mikolajczyk

Despite many advances in deep-learning based semantic segmentation, performance drop due to distribution mismatch is often encountered in the real world. Recently, a few domain adaptation and active learning approaches have been proposed to…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Yu-Ting Chen , Wen-Yen Chang , Hai-Lun Lu , Tingfan Wu , Min Sun

This work presents dense stereo reconstruction using high-resolution images for infrastructure inspections. The state-of-the-art stereo reconstruction methods, both learning and non-learning ones, consume too much computational resource on…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Yaoyu Hu , Weikun Zhen , Sebastian Scherer

We establish a general form of explicit, input-dependent, measure-valued warpings for learning nonstationary kernels. While stationary kernels are ubiquitous and simple to use, they struggle to adapt to functions that vary in smoothness…

Machine Learning · Computer Science 2020-10-12 Anthony Tompkins , Rafael Oliveira , Fabio Ramos

Recent deep learning approaches have achieved impressive performance on visual sound separation tasks. However, these approaches are mostly built on appearance and optical flow like motion feature representations, which exhibit limited…

Computer Vision and Pattern Recognition · Computer Science 2020-04-21 Chuang Gan , Deng Huang , Hang Zhao , Joshua B. Tenenbaum , Antonio Torralba