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Image forgery localization, which aims to segment tampered regions in an image, is a fundamental yet challenging digital forensic task. While some deep learning-based forensic methods have achieved impressive results, they directly learn…

Computer Vision and Pattern Recognition · Computer Science 2024-06-21 Zijie Lou , Gang Cao , Kun Guo , Haochen Zhu , Lifang Yu

Recent approaches in self-supervised learning of image representations can be categorized into different families of methods and, in particular, can be divided into contrastive and non-contrastive approaches. While differences between the…

Machine Learning · Computer Science 2023-06-27 Quentin Garrido , Yubei Chen , Adrien Bardes , Laurent Najman , Yann Lecun

This paper proposes a robust, high-precision positioning methodology to address localization failures arising from complex background interference in large-scale flight navigation and the computational inefficiency inherent in conventional…

Robotics · Computer Science 2026-01-14 Jing Tao , Banglei Guan , Yang Shang , Shunkun Liang , Qifeng Yu

We propose a light-weight video frame interpolation algorithm. Our key innovation is an instance-level supervision that allows information to be learned from the high-resolution version of similar objects. Our experiment shows that the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-30 Liangzhe Yuan , Yibo Chen , Hantian Liu , Tao Kong , Jianbo Shi

Interpolation by various types of splines is the standard procedure in many applications. In this paper we shall discuss harmonic spline "interpolation" (on the lines of a grid) as an alternative to polynomial spline interpolation (at…

Numerical Analysis · Mathematics 2011-01-17 Yuliya Babenko , Tatyana Leskevich

We propose a non grid-based interpolation scheme based on the information from the data collected from the vicinity of the query point. As a non-grid-based interpolation, the data points can be distributed randomly in a small region, and…

Numerical Analysis · Mathematics 2016-09-21 Kai Lin , Wei-Liang Qian

Contrastive learning, which aims at minimizing the distance between positive pairs while maximizing that of negative ones, has been widely and successfully applied in unsupervised feature learning, where the design of positive and negative…

Computer Vision and Pattern Recognition · Computer Science 2021-08-09 Rui Zhu , Bingchen Zhao , Jingen Liu , Zhenglong Sun , Chang Wen Chen

In predicate abstraction, exact image computation is problematic, requiring in the worst case an exponential number of calls to a decision procedure. For this reason, software model checkers typically use a weak approximation of the image.…

Logic in Computer Science · Computer Science 2015-07-01 Ranjit Jhala , Kenneth L. McMillan

In the feature maps of CNNs, there commonly exists considerable spatial redundancy that leads to much repetitive processing. Towards reducing this superfluous computation, we propose to compute features only at sparsely sampled locations,…

Computer Vision and Pattern Recognition · Computer Science 2020-09-07 Zhenda Xie , Zheng Zhang , Xizhou Zhu , Gao Huang , Stephen Lin

A data augmentation module is utilized in contrastive learning to transform the given data example into two views, which is considered essential and irreplaceable. However, the predetermined composition of multiple data augmentations brings…

Computer Vision and Pattern Recognition · Computer Science 2022-08-23 Junbo Zhang , Kaisheng Ma

In this paper, we develop a numerical multiscale method to solve the fractional Laplacian with a heterogeneous diffusion coefficient. When the coefficient is heterogeneous, this adds to the computational costs. Moreover, the fractional…

Numerical Analysis · Mathematics 2017-09-05 Donald L. Brown , Joscha Gedicke , Daniel Peterseim

Interpolation methodologies have been widely used within the domain of indoor positioning systems. However, existing indoor positioning interpolation algorithms exhibit several inherent limitations, including reliance on complex…

Machine Learning · Computer Science 2023-11-28 Suorong Yang , Geng Zhang , Jian Zhao , Furao Shen

A multilevel kernel-based interpolation method, suitable for moderately high-dimensional function interpolation problems, is proposed. The method, termed multilevel sparse kernel-based interpolation (MLSKI, for short), uses both level-wise…

Numerical Analysis · Mathematics 2012-04-19 Emmanuil H. Georgoulis , Jeremy Levesley , Fazli Subhan

The success of deep learning heavily depends on the availability of large labeled training sets. However, it is hard to get large labeled datasets in medical image domain because of the strict privacy concern and costly labeling efforts.…

Computer Vision and Pattern Recognition · Computer Science 2021-09-30 Dewen Zeng , Yawen Wu , Xinrong Hu , Xiaowei Xu , Haiyun Yuan , Meiping Huang , Jian Zhuang , Jingtong Hu , Yiyu Shi

We develop an interpolation-based modeling framework for parameter-dependent partial differential equations arising in control, inverse problems, and uncertainty quantification. The solution is discretized in the physical domain using…

Numerical Analysis · Mathematics 2026-04-20 Erik Burman , Mats G. Larson , Karl Larsson , Jonatan Vallin

Multi-view feature extraction is an efficient approach for alleviating the issue of dimensionality in highdimensional multi-view data. Contrastive learning (CL), which is a popular self-supervised learning method, has recently attracted…

Computer Vision and Pattern Recognition · Computer Science 2023-02-09 Hongjie Zhang

In this paper we propose simple multiscale basis functions with constraint energy minimization to solve elliptic problems with high contrast medium. Our methodology is based on the recently developed non-local multicontinuum method (NLMC).…

Numerical Analysis · Mathematics 2019-04-26 Lina Zhao , Eric T. Chung

In this paper, we provide an analysis of a recently proposed multicontinuum homogenization technique. The analysis differs from those used in classical homogenization methods for several reasons. First, the cell problems in multicontinuum…

Numerical Analysis · Mathematics 2025-04-23 Wing Tat Leung

The final step of most large-scale structure analyses involves the comparison of power spectra or correlation functions to theoretical models. It is clear that the theoretical models have parameter dependence, but frequently the…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-13 Martin White , Nikhil Padmanabhan

In this paper, we suggest a new Heterogeneous Multiscale Method (HMM) for the Helmholtz equation with high contrast. The method is constructed for a setting as in Bouchitt\'e and Felbacq (C.R. Math. Acad. Sci. Paris 339(5):377--382, 2004),…

Numerical Analysis · Mathematics 2016-12-21 Mario Ohlberger , Barbara Verfürth