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The principal support vector machines method (Li et al., 2011) is a powerful tool for sufficient dimension reduction that replaces original predictors with their low-dimensional linear combinations without loss of information. However, the…

Machine Learning · Statistics 2019-12-02 Jun Jin , Chao Ying , Zhou Yu

Design-space dimensionality reduction is essential to mitigate the cost of high-fidelity simulation-based optimization, especially when dealing with high-dimensional geometric parameterizations. Traditional linear techniques, such as…

Optimization and Control · Mathematics 2025-07-23 Andrea Serani , Giorgio Palma , Jeroen Wackers , Domenico Quagliarella , Stefano Gaggero , Matteo Diez

Over-segmentation into superpixels is a very effective dimensionality reduction strategy, enabling fast dense image processing. The main issue of this approach is the inherent irregularity of the image decomposition compared to standard…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Rémi Giraud , Merlin Boyer , Michaël Clément

This paper discusses predictive inference and feature selection for generalized linear models with scarce but high-dimensional data. We argue that in many cases one can benefit from a decision theoretically justified two-stage approach:…

Machine Learning · Statistics 2020-11-09 Juho Piironen , Markus Paasiniemi , Aki Vehtari

The $H_2$ norm is a commonly used performance metric in the design of estimators. However, $H_2$-optimal estimation of most PDEs is complicated by the lack of transfer function and state-space representations. To address this problem, we…

Optimization and Control · Mathematics 2026-05-19 Danio Braghini , Sachin Shivakumar , Matthew M. Peet

In an ever-increasing interest for Machine Learning (ML) and a favorable data development context, we here propose an original methodology for data-based prediction of two-dimensional physical fields. Polynomial Chaos Expansion (PCE),…

Computational Physics · Physics 2021-02-03 Rem-Sophia Mouradi , Cédric Goeury , Olivier Thual , Fabrice Zaoui , Pablo Tassi

We present Causal Posterior Estimation (CPE), a novel method for Bayesian inference in simulator models, i.e., models where the evaluation of the likelihood function is intractable or too computationally expensive, but where one can…

Machine Learning · Computer Science 2025-05-28 Simon Dirmeier , Antonietta Mira

This paper proposes a statistical approach to 2D pose estimation from human images. The main problems with the standard supervised approach, which is based on a deep recognition (image-to-pose) model, are that it often yields anatomically…

Computer Vision and Pattern Recognition · Computer Science 2020-04-09 Takayuki Nakatsuka , Kazuyoshi Yoshii , Yuki Koyama , Satoru Fukayama , Masataka Goto , Shigeo Morishima

We present an innovative approach to 3D Human Pose Estimation (3D-HPE) by integrating cutting-edge diffusion models, which have revolutionized diverse fields, but are relatively unexplored in 3D-HPE. We show that diffusion models enhance…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Cédric Rommel , Eduardo Valle , Mickaël Chen , Souhaiel Khalfaoui , Renaud Marlet , Matthieu Cord , Patrick Pérez

In this paper, we propose a novel face detection network with three novel contributions that address three key aspects of face detection, including better feature learning, progressive loss design and anchor assign based data augmentation,…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Jian Li , Yabiao Wang , Changan Wang , Ying Tai , Jianjun Qian , Jian Yang , Chengjie Wang , Jilin Li , Feiyue Huang

We propose a two-scale neural network method for solving partial differential equations (PDEs) with small parameters using physics-informed neural networks (PINNs). We directly incorporate the small parameters into the architecture of…

Numerical Analysis · Mathematics 2024-10-15 Qiao Zhuang , Chris Ziyi Yao , Zhongqiang Zhang , George Em Karniadakis

The dual-pixel (DP) hardware works by splitting each pixel in half and creating an image pair in a single snapshot. Several works estimate depth/inverse depth by treating the DP pair as a stereo pair. However, dual-pixel disparity only…

Computer Vision and Pattern Recognition · Computer Science 2020-12-02 Liyuan Pan , Shah Chowdhury , Richard Hartley , Miaomiao Liu , Hongguang Zhang , Hongdong Li

Convolutional Neural Networks (CNNs) have demonstrated their superiority in image classification, and evolutionary computation (EC) methods have recently been surging to automatically design the architectures of CNNs to save the tedious…

Neural and Evolutionary Computing · Computer Science 2018-08-23 Bin Wang , Yanan Sun , Bing Xue , Mengjie Zhang

In many image-related tasks, learning expressive and discriminative representations of images is essential, and deep learning has been studied for automating the learning of such representations. Some user-centric tasks, such as image…

Computer Vision and Pattern Recognition · Computer Science 2017-02-21 Chenyi Lei , Dong Liu , Weiping Li , Zheng-Jun Zha , Houqiang Li

One of the mainstream schemes for 2D human pose estimation (HPE) is learning keypoints heatmaps by a neural network. Existing methods typically improve the quality of heatmaps by customized architectures, such as high-resolution…

Computer Vision and Pattern Recognition · Computer Science 2023-06-30 Zhongwei Qiu , Qiansheng Yang , Jian Wang , Xiyu Wang , Chang Xu , Dongmei Fu , Kun Yao , Junyu Han , Errui Ding , Jingdong Wang

Correspondence selection aiming at seeking correct feature correspondences from raw feature matches is pivotal for a number of feature-matching-based tasks. Various 2D (image) correspondence selection algorithms have been presented with…

Computer Vision and Pattern Recognition · Computer Science 2019-05-01 Chen Zhao , Jiaqi Yang , Yang Xiao , Zhiguo Cao

We introduce Perception Encoder (PE), a state-of-the-art vision encoder for image and video understanding trained via simple vision-language learning. Traditionally, vision encoders have relied on a variety of pretraining objectives, each…

To prepare images for better segmentation, we need preprocessing applications, such as smoothing, to reduce noise. In this paper, we present an enhanced computation method for smoothing 2D object in binary case. Unlike existing approaches,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-31 Ramzi Mahmoudi , Mohamed Akil

Dense image alignment from RGB-D images remains a critical issue for real-world applications, especially under challenging lighting conditions and in a wide baseline setting. In this paper, we propose a new framework to learn a pixel-wise…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Binbin Xu , Andrew J. Davison , Stefan Leutenegger

A class of two-bit bit flipping algorithms for decoding low-density parity-check codes over the binary symmetric channel was proposed in [1]. Initial results showed that decoders which employ a group of these algorithms operating in…

Information Theory · Computer Science 2012-05-22 Dung Viet Nguyen , Bane Vasic , Michael W. Marcellin
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