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We propose new reproducing kernel-based tests for model checking in conditional moment restriction models. By regressing estimated residuals on kernel functions via kernel ridge regression (KRR), we obtain a coefficient function in a…

计量经济学 · 经济学 2025-05-05 Yuhao Li

We propose statistical inferential procedures for panel data models with interactive fixed effects in a kernel ridge regression framework.Compared with traditional sieve methods, our method is automatic in the sense that it does not require…

统计理论 · 数学 2017-03-10 Shunan Zhao , Ruiqi Liu , Zuofeng Shang

We derive simple closed-form estimates for the test risk and other generalization metrics of kernel ridge regression (KRR). Relative to prior work, our derivations are greatly simplified and our final expressions are more readily…

机器学习 · 计算机科学 2023-10-30 James B. Simon , Madeline Dickens , Dhruva Karkada , Michael R. DeWeese

Autism spectrum disorder (ASD) affects the brain connectivity at different levels. Nonetheless, non-invasively distinguishing such effects using magnetic resonance imaging (MRI) remains very challenging to machine learning diagnostic…

机器学习 · 计算机科学 2020-04-29 Ismail Bilgen , Goktug Guvercin , Islem Rekik

White matter tract microstructure has been shown to influence neuropsychological scores of cognitive performance. However, prediction of these scores from white matter tract data has not been attempted. In this paper, we propose a…

High-dimensional prediction with multiple data types needs to account for potentially strong differences in predictive signal. Ridge regression is a simple model for high-dimensional data that has challenged the predictive performance of…

统计方法学 · 统计学 2021-04-02 Mark A. van de Wiel , Mirrelijn M. van Nee , Armin Rauschenberger

We propose new model selection criteria based on generalized ridge estimators dominating the maximum likelihood estimator under the squared risk and the Kullback-Leibler risk in multivariate linear regression. Our model selection criteria…

统计理论 · 数学 2016-04-08 Yuichi Mori , Taiji Suzuki

This paper presents a machine learning methodology to improve the predictions of traditional RANS turbulence models in channel flows subject to strong variations in their thermophysical properties. The developed formulation contains several…

流体动力学 · 物理学 2022-10-28 Rafael Diez Sanhueza , Stephan Smit , Jurriaan Peeters , Rene Pecnik

Purpose: To develop neural network (NN)-based quantitative MRI parameter estimators with minimal bias and a variance close to the Cram\'er-Rao bound. Theory and Methods: We generalize the mean squared error loss to control the bias and…

医学物理 · 物理学 2024-05-07 Andrew Mao , Sebastian Flassbeck , Jakob Assländer

This paper presents an end-to-end differentiable algorithm for robust and detail-preserving surface normal estimation on unstructured point-clouds. We utilize graph neural networks to iteratively parameterize an adaptive anisotropic kernel…

计算机视觉与模式识别 · 计算机科学 2020-06-24 Jan Eric Lenssen , Christian Osendorfer , Jonathan Masci

We are interested in a framework of online learning with kernels for low-dimensional but large-scale and potentially adversarial datasets. We study the computational and theoretical performance of online variations of kernel Ridge…

机器学习 · 统计学 2019-05-30 Rémi Jézéquel , Pierre Gaillard , Alessandro Rudi

Current brain surface-based prediction models often overlook the variability of regional attributes at the cortical feature level. While graph neural networks (GNNs) excel at capturing regional differences, they encounter challenges when…

神经元与认知 · 定量生物学 2024-11-12 Zhuoshuo Li , Jiong Zhang , Youbing Zeng , Jiaying Lin , Dan Zhang , Jianjia Zhang , Duan Xu , Hosung Kim , Bingguang Liu , Mengting Liu

This paper conducts a comprehensive study of the learning curves of kernel ridge regression (KRR) under minimal assumptions. Our contributions are three-fold: 1) we analyze the role of key properties of the kernel, such as its spectral…

机器学习 · 计算机科学 2024-10-24 Tin Sum Cheng , Aurelien Lucchi , Anastasis Kratsios , David Belius

Accurately determining fluid viscosity is crucial for various industrial and scientific applications. Traditional methods of viscosity measurement, though reliable, often require manual intervention and cannot easily adapt to real-time…

机器学习 · 计算机科学 2023-12-05 Jong Hoon Park , Gauri Pramod Dalwankar , Alison Bartsch , Abraham George , Amir Barati Farimani

We present an exploration of machine learning architectures for predicting brain responses to realistic images on occasion of the Algonauts Challenge 2023. Our research involved extensive experimentation with various pretrained models.…

神经元与认知 · 定量生物学 2023-09-20 Riccardo Chimisso , Sathya Buršić , Paolo Marocco , Giuseppe Vizzari , Dimitri Ognibene

Drawing tests like the Rey Complex Figure Test (RCFT) are widely used to assess cognitive functions such as visuospatial skills and memory, making them valuable tools for detecting mild cognitive impairment (MCI). Despite their utility,…

计算机视觉与模式识别 · 计算机科学 2024-09-05 Junyoung Park , Eun Hyun Seo , Sunjun Kim , SangHak Yi , Kun Ho Lee , Sungho Won

Brain MRI segmentation results should always undergo a quality control (QC) process, since automatic segmentation tools can be prone to errors. In this work, we propose two deep learning-based architectures for performing QC automatically.…

图像与视频处理 · 电气工程与系统科学 2020-05-29 Irene Brusini , Daniel Ferreira Padilla , José Barroso , Ingmar Skoog , Örjan Smedby , Eric Westman , Chunliang Wang

We prove rates of convergence in the statistical sense for kernel-based least squares regression using a conjugate gradient algorithm, where regularization against overfitting is obtained by early stopping. This method is directly related…

统计理论 · 数学 2010-09-30 Gilles Blanchard , Nicole Kraemer

In this article, we introduce a kernel-based consensual aggregation method for regression problems. We aim to exibly combine individual regression estimators $r_1, \ldots, r_M$ using a weighted average where the weights are dened based on…

统计理论 · 数学 2023-10-03 Sothea Has

Deep learning networks are being developed in every stage of the MRI workflow and have provided state-of-the-art results. However, this has come at the cost of increased computation requirement and storage. Hence, replacing the networks…

图像与视频处理 · 电气工程与系统科学 2020-04-14 Balamurali Murugesan , Sricharan Vijayarangan , Kaushik Sarveswaran , Keerthi Ram , Mohanasankar Sivaprakasam