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Diffusion models have achieved remarkable image generation quality surpassing previous generative models. However, a notable limitation of diffusion models, in comparison to GANs, is their difficulty in smoothly interpolating between two…

Computer Vision and Pattern Recognition · Computer Science 2023-12-13 Kaiwen Zhang , Yifan Zhou , Xudong Xu , Xingang Pan , Bo Dai

Recent image generation models show remarkable generation performance. However, they mirror strong location preference in datasets, which we call spatial bias. Therefore, generators render poor samples at unseen locations and scales. We…

Machine Learning · Computer Science 2021-08-04 Jooyoung Choi , Jungbeom Lee , Yonghyun Jeong , Sungroh Yoon

In this paper, we consider the challenge of face morphing attacks, which substantially undermine the integrity of face recognition systems such as those adopted for use in border protection agencies. Morph detection can be formulated as…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Poorya Aghdaie , Baaria Chaudhary , Sobhan Soleymani , Jeremy Dawson , Nasser M. Nasrabadi

We derive necessary density conditions for sampling and for interpolation in general reproducing kernel Hilbert spaces satisfying some natural conditions on the geometry of the space and the reproducing kernel. If the volume of shells is…

Functional Analysis · Mathematics 2018-04-03 Hartmut Führ , Karlheinz Gröchenig , Antti Haimi , Andreas Klotz , José Luis Romero

Pansharpening seeks to fuse high-resolution panchromatic (PAN) and low-resolution multispectral (LRMS) images into a single image with both fine spatial and rich spectral detail. Despite progress in deep learning-based approaches, existing…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Hancong Jin , Zihan Cao , Liang-jian Deng , Jingjing Li

The generalization ability of kernel interpolation in large dimensions (i.e., $n \asymp d^{\gamma}$ for some $\gamma>0$) might be one of the most interesting problems in the recent renaissance of kernel regression, since it may help us…

Machine Learning · Computer Science 2024-04-22 Haobo Zhang , Weihao Lu , Qian Lin

Local polynomial regression struggles with several challenges when dealing with sparse data. The difficulty in capturing local features of the underlying function can lead to a potential misrepresentation of the true relationship.…

Methodology · Statistics 2025-05-02 Chunlei Ge , W. John Braun

We develop a multiscale spatial kernel convolution technique with higher order functions to capture fine scale local features and lower order terms to capture large scale features. To achieve parsimony, the coefficients in the multiscale…

Methodology · Statistics 2018-04-02 Rajarshi Guhaniyogi , Bruno Sanso

We propose a fast, accurate matching method for estimating dense pixel correspondences across scenes. It is a challenging problem to estimate dense pixel correspondences between images depicting different scenes or instances of the same…

Computer Vision and Pattern Recognition · Computer Science 2015-04-24 Chao Zhang , Chunhua Shen , Tingzhi Shen

Mathematical morphology is a theory and technique to collect features like geometric and topological structures in digital images. Given a target image, determining suitable morphological operations and structuring elements is a cumbersome…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Yucong Shen , Xin Zhong , Frank Y. Shih

Wind direction plays an important role in the spread of pollutant levels over a geographical region. We discuss how to include wind directional information in the covariance function of spatial models. We follow the spatial convolution…

Applications · Statistics 2012-09-27 Joaquim H. Vianna Neto , Alexandra Mello Schmidt , Peter Guttorp

In image morphing, a sequence of plausible frames are synthesized and composited together to form a smooth transformation between given instances. Intermediates must remain faithful to the input, stand on their own as members of the set,…

Graphics · Computer Science 2020-05-05 Noa Fish , Richard Zhang , Lilach Perry , Daniel Cohen-Or , Eli Shechtman , Connelly Barnes

Generative adversarial networks (GANs) have made great success in image inpainting yet still have difficulties tackling large missing regions. In contrast, iterative probabilistic algorithms, such as autoregressive and denoising diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Wenbo Li , Xin Yu , Kun Zhou , Yibing Song , Zhe Lin , Jiaya Jia

Hyperspectral imaging is a powerful technology that is plagued by large dimensionality. Herein, we explore a way to combat that hindrance via non-contiguous and contiguous (simpler to realize sensor) band grouping for dimensionality…

Image and Video Processing · Electrical Eng. & Systems 2019-05-31 Muhammad Aminul Islam , Derek T. Anderson , John E. Ball , Nicolas H. Younan

We present a mapping algorithm to compute large-scale magnetic field maps in indoor environments with approximate Gaussian process (GP) regression. Mapping the spatial variations in the ambient magnetic field can be used for localization…

Machine Learning · Statistics 2023-11-01 Clara Menzen , Marnix Fetter , Manon Kok

Geospatial interpolation is a challenging task due to real world data often being sparse, heterogeneous and inconsistent. For that matter, this work presents SkNNI, a spherical interpolation algorithm capable of working with such…

Data Structures and Algorithms · Computer Science 2019-10-03 Philippe Trempe

Distributional models provide a convenient way to model semantics using dense embedding spaces derived from unsupervised learning algorithms. However, the dimensions of dense embedding spaces are not designed to resemble human semantic…

Computation and Language · Computer Science 2018-11-15 Steven Derby , Paul Miller , Brian Murphy , Barry Devereux

Modeling and estimation for spatial data are ubiquitous in real life, frequently appearing in weather forecasting, pollution detection, and agriculture. Spatial data analysis often involves processing datasets of enormous scale. In this…

Applications · Statistics 2023-11-13 Hanyang Jiang , Henry Shaowu Yuchi , Elizabeth Belding , Ellen Zegura , Yao Xie

Computing a consensus object from a set of given objects is a core problem in machine learning and pattern recognition. One popular approach is to formulate it as an optimization problem using the generalized median. Previous methods like…

Computer Vision and Pattern Recognition · Computer Science 2022-09-22 Andreas Nienkötter , Xiaoyi Jiang

Efficient and easy segmentation of images and volumes is of great practical importance. Segmentation problems that motivate our approach originate from microscopy imaging commonly used in materials science, medicine, and biology. We…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Vedrana Andersen Dahl , Monica Jane Emerson , Camilla Himmelstrup Trinderup , Anders Bjorholm Dahl