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Kernel ridge regression (KRR), also known as the least-squares support vector machine, is a fundamental method for learning functions from finite samples. While most existing analyses focus on the noisy setting with constant-level label…

Machine Learning · Statistics 2025-04-14 Jihao Long , Xiaojun Peng , Lei Wu

Motivation: Peptide-protein interactions (PepPIs) are central to cellular regulation and peptide therapeutics, but experimental characterization remains too slow for large-scale screening. Existing methods usually emphasize either…

Machine Learning · Computer Science 2026-04-28 Chupei Tang , Junxiao Kong , Moyu Tang , Di Wang , Jixiu Zhai , Ronghao Xie , Shangkun Sima , Tianchi Lu

A common challenge in nonparametric inference is its high computational complexity when data volume is large. In this paper, we develop computationally efficient nonparametric testing by employing a random projection strategy. In the…

Statistics Theory · Mathematics 2018-02-20 Meimei Liu , Zuofeng Shang , Guang Cheng

Although algebraic graph theory based models have been widely applied in physical modeling and molecular studies, they are typically incompetent in the analysis and prediction of biomolecular properties when compared with other quantitative…

Biomolecules · Quantitative Biology 2018-12-21 Duc Duy Nguyen , Guo-Wei Wei

Binding affinity prediction of three-dimensional (3D) protein ligand complexes is critical for drug repositioning and virtual drug screening. Existing approaches transform a 3D protein-ligand complex to a two-dimensional (2D) graph, and…

Biomolecules · Quantitative Biology 2022-10-31 Yiqiang Yi , Xu Wan , Kangfei Zhao , Le Ou-Yang , Peilin Zhao

The key finding in the DNA double helix model is the specific pairing or binding between nucleotides A-T and C-G, and the pairing rules are the molecule basis of genetic code. Unfortunately, no such rules have been discovered for proteins.…

Biomolecules · Quantitative Biology 2017-02-28 Yuhong Wang , Junzhou Huang , Wei Li , Sheng Wang , Chuanfan Ding

Longitudinal biomedical studies monitor individuals over time to capture dynamics in brain development, disease progression, and treatment effects. However, estimating trajectories of brain biomarkers is challenging due to biological…

Machine Learning · Computer Science 2025-04-15 Vasiliki Tassopoulou , Haochang Shou , Christos Davatzikos

We develop a framework for function classes generated by parametric ridge kernels: one-dimensional kernels composed with affine projections and averaged over a parameter measure. The induced kernels are positive definite, and the resulting…

Functional Analysis · Mathematics 2025-08-26 James Tian

We develop a novel procedure for constructing confidence bands for components of a sparse additive model. Our procedure is based on a new kernel-sieve hybrid estimator that combines two most popular nonparametric estimation methods in the…

Machine Learning · Statistics 2018-02-14 Junwei Lu , Mladen Kolar , Han Liu

In this paper, we propose a random projection approach to estimate variance in kernel ridge regression. Our approach leads to a consistent estimator of the true variance, while being computationally more efficient. Our variance estimator is…

Statistics Theory · Mathematics 2018-09-18 Meimei Liu , Jean Honorio , Guang Cheng

We propose a novel approach for predicting protein-peptide interactions using a bi-modal transformer architecture that learns an inter-facial joint distribution of residual contacts. The current data sets for crystallized protein-peptide…

Biomolecules · Quantitative Biology 2023-06-02 Justin Diamond , Markus Lill

Subgradient algorithms for training support vector machines have been quite successful for solving large-scale and online learning problems. However, they have been restricted to linear kernels and strongly convex formulations. This paper…

Machine Learning · Computer Science 2011-11-04 Sangkyun Lee , Stephen J. Wright

We briefly summarize the kernel regression approach, as used recently in materials modelling, to fitting functions, particularly potential energy surfaces, and highlight how the linear algebra framework can be used to both predict and train…

Computational Physics · Physics 2019-02-05 Michele Ceriotti , Michael J. Willatt , Gábor Csányi

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…

Machine Learning · Statistics 2021-04-15 Qin Luo , Kun Fang , Jie Yang , Xiaolin Huang

Predicting a ligand's bound pose to a target protein is a key component of early-stage computational drug discovery. Recent developments in machine learning methods have focused on improving pose quality at the cost of model runtime. For…

Biomolecules · Quantitative Biology 2024-10-23 Wojtek Treyde , Seohyun Chris Kim , Nazim Bouatta , Mohammed AlQuraishi

Despite the exciting progress in target-specific de novo protein binder design, peptide binder design remains challenging due to the flexibility of peptide structures and the scarcity of protein-peptide complex structure data. In this…

Biomolecules · Quantitative Biology 2024-09-04 Fanhao Wang , Yuzhe Wang , Laiyi Feng , Changsheng Zhang , Luhua Lai

Proteins perform nearly all cellular functions and constitute most drug targets, making their analysis fundamental to understanding human biology in health and disease. Tandem mass spectrometry (MS$^2$) is the major analytical technique in…

Biomolecules · Quantitative Biology 2025-09-01 Hao Xu , Zhichao Wang , Shengqi Sang , Pisit Wajanasara , Nuno Bandeira

Kernel approximation is widely used to scale up kernel SVM training and prediction. However, the memory and computation costs of kernel approximation models are still too high if we want to deploy them on memory-limited devices such as…

Machine Learning · Computer Science 2020-10-07 Zijian Lei , Liang Lan

Machine learning (ML) models, such as SVM, for tasks like classification and clustering of sequences, require a definition of distance/similarity between pairs of sequences. Several methods have been proposed to compute the similarity…

Machine Learning · Computer Science 2022-09-13 Sarwan Ali , Bikram Sahoo , Muhammad Asad Khan , Alexander Zelikovsky , Imdad Ullah Khan , Murray Patterson

We propose a quantum algorithm based on ridge regression model, which get the optimal fitting parameters w and a regularization hyperparameter {\alpha} by analysing the training dataset. The algorithm consists of two subalgorithms. One is…

Quantum Physics · Physics 2021-04-28 Menghan Chen , Chaohua Yu , Gongde Guo , Song Lin
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