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In this paper we introduce a class of operators on complete lattices called Dynamic Ordered Weighted Averaging (DYOWA) functions. These functions provide a generalized form of an important class of aggregation functions: The Ordered…

Spatial pooling is an important step in computer vision systems like Convolutional Neural Networks or the Bag-of-Words method. The spatial pooling purpose is to combine neighbouring descriptors to obtain a single descriptor for a given…

Computer Vision and Pattern Recognition · Computer Science 2021-06-11 J. I. Forcen , Miguel Pagola , Edurne Barrenechea , Humberto Bustince

The Ordered Weighted Averaging (OWA) operator is a traditional and commonly used criterion for aggregating discrete values of uncertain quantities. In this paper, it is shown that the discrete OWA naturally extends to the continuous case by…

Optimization and Control · Mathematics 2026-02-03 Werner Baak , Marc Goerigk , Adam Kasperski , Paweł Zieliński

In this paper, we propose a simple but effective semantic part-based weighting aggregation (PWA) for image retrieval. The proposed PWA utilizes the discriminative filters of deep convolutional layers as part detectors. Moreover, we propose…

Computer Vision and Pattern Recognition · Computer Science 2017-11-30 Jian Xu , Cunzhao Shi , Chengzuo Qi , Chunheng Wang , Baihua Xiao

In the context of multicriteria decision making, the ordered weighted averaging (OWA) functions play a crucial role in aggregating multiple criteria evaluations into an overall assessment supporting the decision makers' choice. Determining…

Artificial Intelligence · Computer Science 2018-04-19 Thuy Hong Nguyen

The paper deals with a multiobjective combinatorial optimization problem with $K$ linear cost functions. The popular Ordered Weighted Averaging (OWA) criterion is used to aggregate the cost functions and compute a solution. It is well known…

Data Structures and Algorithms · Computer Science 2018-04-11 André Chassein , Marc Goerigk , Adam Kasperski , Paweł Zieliński

In literature, it is common to find problems which require a way to encode a finite set of information into a single data; usually means are used for that. An important generalization of means are the so called Aggregation Functions, with a…

Deep neural networks are typically trained by optimizing a loss function with an SGD variant, in conjunction with a decaying learning rate, until convergence. We show that simple averaging of multiple points along the trajectory of SGD,…

Machine Learning · Computer Science 2019-02-26 Pavel Izmailov , Dmitrii Podoprikhin , Timur Garipov , Dmitry Vetrov , Andrew Gordon Wilson

Standard neural networks struggle to generalize under distribution shifts in computer vision. Fortunately, combining multiple networks can consistently improve out-of-distribution generalization. In particular, weight averaging (WA)…

Computer Vision and Pattern Recognition · Computer Science 2023-01-30 Alexandre Ramé , Matthieu Kirchmeyer , Thibaud Rahier , Alain Rakotomamonjy , Patrick Gallinari , Matthieu Cord

The weighted OWA (WOWA) is a function that aggregates a set of values with weights assigned based on the rank and relative importance of each value. The weighted OWA of uncertain objective functions can generalize many of the criteria that…

Optimization and Control · Mathematics 2021-04-16 Jaeyoong Lim , Sungsoo Park

Weight averaging is a widely used technique for accelerating training and improving the generalization of deep neural networks (DNNs). While existing approaches like stochastic weight averaging (SWA) rely on pre-set weighting schemes, they…

Machine Learning · Computer Science 2025-02-11 Tao Li , Zhehao Huang , Yingwen Wu , Zhengbao He , Qinghua Tao , Xiaolin Huang , Chih-Jen Lin

Purpose: To develop an algorithm for the retrospective correction of signal dropout artifacts in abdominal diffusion-weighted imaging (DWI) resulting from cardiac motion. Methods: Given a set of image repetitions for a slice, a locally…

Image and Video Processing · Electrical Eng. & Systems 2022-02-22 Fasil Gadjimuradov , Thomas Benkert , Marcel Dominik Nickel , Tobit Führes , Marc Saake , Andreas Maier

Robust optimization aims to find optimum points from the collection of points that are feasible for every possible scenario of a given uncertain set. An optimum solution to a robust optimization problem is commonly found by the min-max…

Optimization and Control · Mathematics 2024-10-07 Nand Kishor , Debdas Ghosh , Xiaopeng Zhao

In this paper we develop a new family of Ordered Weighted Averaging (OWA) operators. Weight vector is obtained from a desired orness of the operator. Using Faulhaber's formulas we obtain direct and simple expressions for the weight vector…

Artificial Intelligence · Computer Science 2018-02-01 Oscar Duarte , Sandra Téllez

The primary objective of this paper is to present an approach for recommender systems that can assimilate ranking to the voters or rankers so that recommendation can be made by giving priority to experts suggestion over usual…

Information Retrieval · Computer Science 2021-05-04 Shahab Saquib Sohail , Jamshed Siddiqui , Rashid Ali , S. Hamid Hasan , M. Afshar Alam

This article presents a contribution to multi-criteria decision support intended for industrial decision-makers in order to determine the best compromise between design criteria when working on risky or innovative products. In (RENAUD et…

Systems and Control · Electrical Eng. & Systems 2024-09-10 J Renaud , M Camargo , L Morel , C Fonteix

Weight averaging has become a standard technique for enhancing model performance. However, methods such as Stochastic Weight Averaging (SWA) and Latest Weight Averaging (LAWA) often require manually designed procedures to sample from the…

Machine Learning · Computer Science 2025-02-17 Peng Wang , Shengchao Hu , Zerui Tao , Guoxia Wang , Dianhai Yu , Li Shen , Quan Zheng , Dacheng Tao

The ordered weighted averaging (OWA) operators play a crucial role in aggregating multiple criteria evaluations into an overall assessment supporting the decision makers' choice. One key point steps is to determine the associated weights.…

Artificial Intelligence · Computer Science 2018-09-11 Xiuyan Sha , Zeshui Xu , Chuancun Yin

We propose a new image denoising algorithm when the data is contaminated by a Poisson noise. As in the Non-Local Means filter, the proposed algorithm is based on a weighted linear combination of the bserved image. But in contract to the…

Applications · Statistics 2012-01-31 Qiyu Jin , Ion Grama , Quansheng Liu

Empirical risk minimization (ERM) is not robust to changes in the distribution of data. When the distribution of test data is different from that of training data, the problem is known as out-of-distribution generalization. Recently, two…

Computer Vision and Pattern Recognition · Computer Science 2025-01-16 Shijian Xu
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