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Variational methods are widely used for approximate posterior inference. However, their use is typically limited to families of distributions that enjoy particular conjugacy properties. To circumvent this limitation, we propose a family of…

机器学习 · 计算机科学 2012-06-22 Samuel Gershman , Matt Hoffman , David Blei

Motivated by renal imaging studies that combine renogram curves with pharmacokinetic and demographic covariates, we propose Hybrid partial least squares (Hybrid PLS) for simultaneous supervised dimension reduction and regression in the…

统计方法学 · 统计学 2026-01-26 Jongmin Mun , Jeong Hoon Jang

Due to the lack of a method to efficiently represent the multimodal information of a protein, including its structure and sequence information, predicting compound-protein binding affinity (CPA) still suffers from low accuracy when applying…

生物大分子 · 定量生物学 2022-11-28 Binjie Guo , Hanyu Zheng , Haohan Jiang , Xiaodan Li , Naiyu Guan , Yanming Zuo , Yicheng Zhang , Hengfu Yang , Xuhua Wang

Motivated by the Bagging Partial Least Squares (PLS) and Principal Component Analysis (PCA) algorithms, we propose a Principal Model Analysis (PMA) method in this paper. In the proposed PMA algorithm, the PCA and the PLS are combined. In…

机器学习 · 计算机科学 2019-02-08 Qiwei Xie , Liang Tang , Weifu Li , Vijay John , Yong Hu

Asymmetric kernels naturally exist in real life, e.g., for conditional probability and directed graphs. However, most of the existing kernel-based learning methods require kernels to be symmetric, which prevents the use of asymmetric…

机器学习 · 计算机科学 2022-02-04 Mingzhen He , Fan He , Lei Shi , Xiaolin Huang , Johan A. K. Suykens

Modal linear regression (MLR) is a method for obtaining a conditional mode predictor as a linear model. We study kernel selection for MLR from two perspectives: "which kernel achieves smaller error?" and "which kernel is computationally…

机器学习 · 统计学 2020-01-31 Ryoya Yamasaki , Toshiyuki Tanaka

Partial least squares regression (PLSR) has been a popular technique to explore the linear relationship between two datasets. However, most of algorithm implementations of PLSR may only achieve a suboptimal solution through an optimization…

计算机视觉与模式识别 · 计算机科学 2016-09-22 Haoran Chen , Yanfeng Sun , Junbin Gao , Yongli Hu , Baocai Yin

We study the functional linear regression model with a scalar response and a Hilbert space-valued predictor, a canonical example of an ill-posed inverse problem. We show that the functional partial least squares (PLS) estimator attains…

统计理论 · 数学 2025-05-08 Andrii Babii , Marine Carrasco , Idriss Tsafack

Physics-Informed Neural Networks (PINNs) are machine learning tools that approximate the solution of general partial differential equations (PDEs) by adding them in some form as terms of the loss/cost function of a Neural Network. Most…

Protein language models (pLMs) pre-trained on vast protein sequence databases excel at various downstream tasks but often lack the structural knowledge essential for some biological applications. To address this, we introduce a method to…

Measuring similarity between incomplete data is a fundamental challenge in web mining, recommendation systems, and user behavior analysis. Traditional approaches either discard incomplete data or perform imputation as a preprocessing step,…

机器学习 · 计算机科学 2025-10-16 Yang Cao , Sikun Yang , Kai He , Wenjun Ma , Ming Liu , Yujiu Yang , Jian Weng

High dimensional data reduction techniques are provided by using partial least squares within deep learning. Our framework provides a nonlinear extension of PLS together with a disciplined approach to feature selection and architecture…

统计方法学 · 统计学 2021-06-29 Nicholas Polson , Vadim Sokolov , Jianeng Xu

For various applications, the relations between the dependent and independent variables are highly nonlinear. Consequently, for large scale complex problems, neural networks and regression trees are commonly preferred over linear models…

机器学习 · 计算机科学 2017-05-23 Samet Oymak , Mehrdad Mahdavi , Jiasi Chen

The kernel-based method has been successfully applied in linear system identification using stable kernel designs. From a Gaussian process perspective, it automatically provides probabilistic error bounds for the identified models from the…

系统与控制 · 电气工程与系统科学 2023-03-20 Mingzhou Yin , Roy S. Smith

We consider the problem of learning regression functions from pairwise data when there exists prior knowledge that the relation to be learned is symmetric or anti-symmetric. Such prior knowledge is commonly enforced by symmetrizing or…

机器学习 · 计算机科学 2015-06-22 Tapio Pahikkala , Markus Viljanen , Antti Airola , Willem Waegeman

Random Fourier Features (RFF) demonstrate wellappreciated performance in kernel approximation for largescale situations but restrict kernels to be stationary and positive definite. And for non-stationary kernels, the corresponding RFF could…

机器学习 · 统计学 2021-04-15 Qin Luo , Kun Fang , Jie Yang , Xiaolin Huang

Although current semi-supervised medical segmentation methods can achieve decent performance, they are still affected by the uncertainty in unlabeled data and model predictions, and there is currently a lack of effective strategies that can…

计算机视觉与模式识别 · 计算机科学 2024-04-10 Yuanpeng He

Functional data such as curves and surfaces have become more and more common with modern technological advancements. The use of functional predictors remains challenging due to its inherent infinite-dimensionality. The common practice is to…

统计理论 · 数学 2023-01-31 Dengdeng Yu , Matthew Pietrosanu , Ivan Mizera , Bei Jiang , Linglong Kong , Wei Tu

In this paper, we propose a new semiparametric regression estimator by using a hybrid technique of a parametric approach and a nonparametric penalized spline method. The overall shape of the true regression function is captured by the…

统计理论 · 数学 2012-02-17 Takuma Yoshida , Kanta Naito

Motivation: Machine learning based prediction of compound-protein interactions (CPIs) is important for drug design, screening and repurposing studies and can improve the efficiency and cost-effectiveness of wet lab assays. Despite the…

定量方法 · 定量生物学 2022-02-02 Adiba Yaseen , Imran Amin , Naeem Akhter , Asa Ben-Hur , Fayyaz Minhas