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We advance both the theory and practice of robust $\ell_p$-quasinorm regression for $p \in (0,1]$ by using novel variants of iteratively reweighted least-squares (IRLS) to solve the underlying non-smooth problem. In the convex case, $p=1$,…

最优化与控制 · 数学 2022-10-14 Liangzu Peng , Christian Kümmerle , René Vidal

In this work, we study the problem of non-blind image deconvolution and propose a novel recurrent network architecture that leads to very competitive restoration results of high image quality. Motivated by the computational efficiency and…

图像与视频处理 · 电气工程与系统科学 2021-12-13 Iaroslav Koshelev , Daniil Selikhanovych , Stamatios Lefkimmiatis

Referring image segmentation (RIS) aims to segment an object mentioned in natural language from an image. The main challenge is text-to-pixel fine-grained correlation. In the previous methods, the final results are obtained by convolutions…

计算机视觉与模式识别 · 计算机科学 2024-10-15 Yichen Yan , Xingjian He , Wenxuan Wang , Sihan Chen , Jing Liu

A structure-preserving kernel ridge regression method is presented that allows the recovery of nonlinear Hamiltonian functions out of datasets made of noisy observations of Hamiltonian vector fields. The method proposes a closed-form…

机器学习 · 统计学 2025-04-07 Jianyu Hu , Juan-Pablo Ortega , Daiying Yin

We present a data-driven method for computing approximate forward reachable sets using separating kernels in a reproducing kernel Hilbert space. We frame the problem as a support estimation problem, and learn a classifier of the support as…

最优化与控制 · 数学 2020-11-20 Adam J. Thorpe , Kendric R. Ortiz , Meeko M. K. Oishi

The kernel least mean squares (KLMS) algorithm is a computationally efficient nonlinear adaptive filtering method that "kernelizes" the celebrated (linear) least mean squares algorithm. We demonstrate that the least mean squares algorithm…

机器学习 · 统计学 2013-10-22 Il Memming Park , Sohan Seth , Steven Van Vaerenbergh

The Neural Tangent Kernel (NTK) characterizes the behavior of infinitely wide neural nets trained under least squares loss by gradient descent. However, despite its importance, the super-quadratic runtime of kernel methods limits the use of…

机器学习 · 计算机科学 2021-07-28 Amir Zandieh

Reliable facial expression recognition plays a critical role in human-machine interactions. However, most of the facial expression analysis methodologies proposed to date pay little or no attention to the protection of a user's privacy. In…

计算机视觉与模式识别 · 计算机科学 2018-09-10 Jiawei Chen , Janusz Konrad , Prakash Ishwar

This paper presents regression methods for estimation of head pose from occluded 2-D face images. The process primarily involves reconstructing a face from its occluded image, followed by classification. Typical methods for reconstruction…

计算机视觉与模式识别 · 计算机科学 2016-02-03 Amit Kumar , Rishabh Bindal , Soumya Indela , Michael Rotkowitz

Neural implicit functions have achieved impressive results for reconstructing 3D shapes from single images. However, the image features for describing 3D point samplings of implicit functions are less effective when significant variations…

计算机视觉与模式识别 · 计算机科学 2022-02-01 Yixin Zhuang , Yunzhe Liu , Yujie Wang , Baoquan Chen

We study the relationship between online Gaussian process (GP) regression and kernel least mean squares (KLMS) algorithms. While the latter have no capacity of storing the entire posterior distribution during online learning, we discover…

机器学习 · 统计学 2016-09-13 Steven Van Vaerenbergh , Jesus Fernandez-Bes , Víctor Elvira

The massive amount of trainable parameters in the pre-trained language models (PLMs) makes them hard to be deployed to multiple downstream tasks. To address this issue, parameter-efficient transfer learning methods have been proposed to…

计算与语言 · 计算机科学 2022-10-27 Yifan Chen , Devamanyu Hazarika , Mahdi Namazifar , Yang Liu , Di Jin , Dilek Hakkani-Tur

Representations that can compactly and effectively capture the temporal evolution of semantic content are important to computer vision and machine learning algorithms that operate on multi-variate time-series data. We investigate such…

计算机视觉与模式识别 · 计算机科学 2018-03-30 Anoop Cherian , Suvrit Sra , Stephen Gould , Richard Hartley

Face inpainting, the technique of restoring missing or damaged regions in facial images, is pivotal for applications like face recognition in occluded scenarios and image analysis with poor-quality captures. This process not only needs to…

计算机视觉与模式识别 · 计算机科学 2024-03-20 Ahmad Hassanpour , Fatemeh Jamalbafrani , Bian Yang , Kiran Raja , Raymond Veldhuis , Julian Fierrez

This paper presents a iterative optimization method, explicit shape regression, for face pose detection and localization. The regression function is learnt to find out the entire facial shape and minimize the alignment errors. A cascaded…

计算机视觉与模式识别 · 计算机科学 2017-09-12 Wenye He

3D Morphable Models (3DMMs) provide promising 3D face reconstructions in various applications. However, existing methods struggle to reconstruct faces with extreme expressions due to deficiencies in supervisory signals, such as sparse or…

计算机视觉与模式识别 · 计算机科学 2024-04-18 Zidu Wang , Xiangyu Zhu , Tianshuo Zhang , Baiqin Wang , Zhen Lei

We investigate time-dependent data analysis from the perspective of recurrent kernel machines, from which models with hidden units and gated memory cells arise naturally. By considering dynamic gating of the memory cell, a model closely…

机器学习 · 统计学 2019-10-11 Kevin J Liang , Guoyin Wang , Yitong Li , Ricardo Henao , Lawrence Carin

Kernel methods are powerful learning methodologies that allow to perform non-linear data analysis. Despite their popularity, they suffer from poor scalability in big data scenarios. Various approximation methods, including random feature…

机器学习 · 统计学 2022-06-14 Bharath Sriperumbudur , Nicholas Sterge

In this technical report, we investigate efficient representations of articulated objects (e.g. human bodies), which is an important problem in computer vision and graphics. To deform articulated geometry, existing approaches represent…

This monograph develops a unified, application-driven framework for kernel methods grounded in reproducing kernel Hilbert spaces (RKHS) and optimal transport (OT). Part I lays the theoretical and numerical foundations on positive-definite…

数值分析 · 数学 2025-10-07 Philippe G. LeFloch , Jean-Marc Mercier , Shohruh Miryusupov
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