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We provide uniform confidence bands for kernel ridge regression (KRR), a widely used nonparametric regression estimator for nonstandard data such as preferences, sequences, and graphs. Despite the prevalence of these data--e.g., student…

统计理论 · 数学 2025-08-19 Rahul Singh , Suhas Vijaykumar

To increase the flexibility and scalability of deep neural networks for image reconstruction, a framework is proposed based on bandpass filtering. For many applications, sensing measurements are performed indirectly. For example, in…

计算机视觉与模式识别 · 计算机科学 2018-11-27 Joseph Y. Cheng , Feiyu Chen , Marcus T. Alley , John M. Pauly , Shreyas S. Vasanawala

This article presents a general framework for the transport of probability measures towards minimum divergence generative modeling and sampling using ordinary differential equations (ODEs) and Reproducing Kernel Hilbert Spaces (RKHSs),…

机器学习 · 统计学 2024-02-14 Biraj Pandey , Bamdad Hosseini , Pau Batlle , Houman Owhadi

This paper proposes ReBNet, an end-to-end framework for training reconfigurable binary neural networks on software and developing efficient accelerators for execution on FPGA. Binary neural networks offer an intriguing opportunity for…

机器学习 · 计算机科学 2018-03-29 Mohammad Ghasemzadeh , Mohammad Samragh , Farinaz Koushanfar

The single image super-resolution task is one of the most examined inverse problems in the past decade. In the recent years, Deep Neural Networks (DNNs) have shown superior performance over alternative methods when the acquisition process…

计算机视觉与模式识别 · 计算机科学 2020-05-27 Shady Abu Hussein , Tom Tirer , Raja Giryes

Recent advances in machine learning have led to increased interest in reproducing kernel Banach spaces (RKBS) as a more general framework that extends beyond reproducing kernel Hilbert spaces (RKHS). These works have resulted in the…

机器学习 · 计算机科学 2024-11-19 Akash Kumar , Mikhail Belkin , Parthe Pandit

Comparing differently sized data sets is one main task in model assessment and calibration. This is due to field data being generally sparse compared to simulated model results. We tackled this task by the application of a new…

应用统计 · 统计学 2023-08-30 Maria-Theresia Pelz , Christopher Somes

In ultrasound (US) imaging, various types of adaptive beamforming techniques have been investigated to improve the resolution and contrast-to-noise ratio of the delay and sum (DAS) beamformers. Unfortunately, the performance of these…

图像与视频处理 · 电气工程与系统科学 2020-02-25 Shujaat Khan , Jaeyoung Huh , Jong Chul Ye

Spectrum cartography reconstructs spatial radio fields from sparse and heterogeneous wireless measurements, underpinning many sensing and optimization tasks in wireless networks. Attention mechanisms have recently enabled adaptive…

最优化与控制 · 数学 2026-04-29 Liping Tao , Chee Wei Tan

In this abstract paper, we introduce a new kernel learning method by a nonparametric density estimator. The estimator consists of a group of k-centroids clusterings. Each clustering randomly selects data points with randomly selected…

机器学习 · 计算机科学 2017-08-02 Xiao-Lei Zhang

3D Gaussian Splatting (3DGS) has advanced radiance field reconstruction by enabling real-time rendering. However, its reliance on Gaussian kernels for geometry and low-order Spherical Harmonics (SH) for color encoding limits its ability to…

计算机视觉与模式识别 · 计算机科学 2025-05-07 Rong Liu , Dylan Sun , Meida Chen , Yue Wang , Andrew Feng

Nonlinear dimensionality reduction embeddings computed from datasets do not provide a mechanism to compute the inverse map. In this paper, we address the problem of computing a stable inverse map to such a general bi-Lipschitz map. Our…

数值分析 · 数学 2013-11-06 Nathan D. Monnig , Bengt Fornberg , Francois G. Meyer

Depth map fusion is an essential part in both stereo and RGB-D based 3-D reconstruction pipelines. Whether produced with a passive stereo reconstruction or using an active depth sensor, such as Microsoft Kinect, the depth maps have noise…

计算机视觉与模式识别 · 计算机科学 2018-04-25 Markus Ylimäki , Juho Kannala , Janne Heikkilä

Material properties such as permeability fields in heterogeneous porous media are often represented as discontinuous, piecewise constant data tied to a given spatial discretization. Such representations are inherently mesh-dependent,…

数值分析 · 数学 2026-05-19 Kapil Chawla , Sanghyun Lee , Yeonjong Shin

This paper studies kernel ridge regression in high dimensions under covariate shifts and analyzes the role of importance re-weighting. We first derive the asymptotic expansion of high dimensional kernels under covariate shifts. By a…

机器学习 · 统计学 2024-06-06 Yihang Chen , Fanghui Liu , Taiji Suzuki , Volkan Cevher

Recent advances in quantum crystallography have shown that, beyond conventional charge density refinement, a one-electron reduced density matrix (1-RDM) satisfying N-representability conditions can be reconstructed using jointly…

量子物理 · 物理学 2024-03-04 Sizhuo Yu , Jean-Michel Gillet

We propose a scalable framework for the learning of high-dimensional parametric maps via adaptively constructed residual network (ResNet) maps between reduced bases of the inputs and outputs. When just few training data are available, it is…

In ultrasound (US) imaging, individual channel RF measurements are back-propagated and accumulated to form an image after applying specific delays. While this time reversal is usually implemented using a hardware- or software-based…

图像与视频处理 · 电气工程与系统科学 2019-07-17 Shujaat Khan , Jaeyoung Huh , Jong Chul Ye

We present Bayesian Diffusion Models (BDM), a prediction algorithm that performs effective Bayesian inference by tightly coupling the top-down (prior) information with the bottom-up (data-driven) procedure via joint diffusion processes. We…

计算机视觉与模式识别 · 计算机科学 2024-04-23 Haiyang Xu , Yu Lei , Zeyuan Chen , Xiang Zhang , Yue Zhao , Yilin Wang , Zhuowen Tu

Unsupervised learning-based medical image registration approaches have witnessed rapid development in recent years. We propose to revisit a commonly ignored while simple and well-established principle: recursive refinement of deformation…

图像与视频处理 · 电气工程与系统科学 2021-06-15 Xinzi He , Jia Guo , Xuzhe Zhang , Hanwen Bi , Sarah Gerard , David Kaczka , Amin Motahari , Eric Hoffman , Joseph Reinhardt , R. Graham Barr , Elsa Angelini , Andrew Laine