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In traditional logistic regression models, the link function is often assumed to be linear and continuous in predictors. Here, we consider a threshold model that all continuous features are discretized into ordinal levels, which further…

Methodology · Statistics 2022-02-18 Yinan Lin , Wen Zhou , Zhi Geng , Gexin Xiao , Jianxin Yin

Predicting protein secondary structure is a fundamental problem in protein structure prediction. Here we present a new supervised generative stochastic network (GSN) based method to predict local secondary structure with deep hierarchical…

Quantitative Methods · Quantitative Biology 2014-03-07 Jian Zhou , Olga G. Troyanskaya

Aligning protein-protein interaction (PPI) networks of different species has drawn a considerable interest recently. This problem is important to investigate evolutionary conserved pathways or protein complexes across species, and to help…

Optimization and Control · Mathematics 2009-05-08 Mikhail Zaslavskiy , Francis Bach , Jean-Philippe Vert

For supervised classification problems, this paper considers estimating the query's label probability through local regression using observed covariates. Well-known nonparametric kernel smoother and $k$-nearest neighbor ($k$-NN) estimator,…

Machine Learning · Statistics 2022-07-25 Ruixing Cao , Akifumi Okuno , Kei Nakagawa , Hidetoshi Shimodaira

Random Fourier features is one of the most popular techniques for scaling up kernel methods, such as kernel ridge regression. However, despite impressive empirical results, the statistical properties of random Fourier features are still not…

Machine Learning · Computer Science 2018-05-22 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

Motivation. Protein contact map describes the pairwise spatial and functional relationship of residues in a protein and contains key information for protein 3D structure prediction. Although studied extensively, it remains very challenging…

Quantitative Methods · Quantitative Biology 2014-01-21 Zhiyong Wang , Jinbo Xu

Protein-protein interactions (PPIs) are associated with various diseases, including cancer, infections, and neurodegenerative disorders. Obtaining three-dimensional structural information on these PPIs serves as a foundation to interfere…

Biomolecules · Quantitative Biology 2024-07-24 Xiaotong Xu , Alexandre M. J. J. Bonvin

Credit scoring is a major application of machine learning for financial institutions to decide whether to approve or reject a credit loan. For sake of reliability, it is necessary for credit scoring models to be both accurate and globally…

Machine Learning · Computer Science 2021-02-25 Qiang Liu , Zhaocheng Liu , Haoli Zhang , Yuntian Chen , Jun Zhu

Since proteins carry out biological processes by interacting with other proteins, analyzing the structure of protein-protein interaction (PPI) networks could explain complex biological mechanisms, evolution, and disease. Similarly, studying…

Molecular Networks · Quantitative Biology 2010-04-22 Vesna Memisevic , Tijana Milenkovic , Natasa Przulj

High-throughput protein interaction detection methods are strongly affected by false positive and false negative results. Focused experiments are needed to complement the large-scale methods by validating previously detected interactions…

Molecular Networks · Quantitative Biology 2007-05-23 Istvan Albert , Reka Albert

Protein language models are a powerful tool for learning protein representations through pre-training on vast protein sequence datasets. However, traditional protein language models lack explicit structural supervision, despite its…

Biomolecules · Quantitative Biology 2024-02-09 Zuobai Zhang , Jiarui Lu , Vijil Chenthamarakshan , Aurélie Lozano , Payel Das , Jian Tang

Structural information about protein-protein interactions, often missing at the interactome scale, is important for mechanistic understanding of cells and rational discovery of therapeutics. Protein docking provides a computational…

Biomolecules · Quantitative Biology 2020-12-17 Yue Cao , Yang Shen

The evolutionary trajectory of a protein through sequence space is constrained by function and three-dimensional (3D) structure. Residues in spatial proximity tend to co-evolve, yet attempts to invert the evolutionary record to identify…

Biomolecules · Quantitative Biology 2015-03-13 Debora S. Marks , Lucy J. Colwell , Robert Sheridan , Thomas A. Hopf , Andrea Pagnani , Riccardo Zecchina , Chris Sander

Structural data from Electronic Health Records as complementary information to imaging data for disease prediction. We incorporate novel weighting layer into the Graph Convolutional Networks, which weights every element of structural data…

Machine Learning · Computer Science 2018-05-01 Anees Kazi , Shadi Albarqouni , Karsten Kortuem , Nassir Navab

In many applications of computer vision it is important to accurately estimate the trajectory of an object over time by fusing data from a number of sources, of which 2D and 3D imagery is only one. In this paper, we show how to use a deep…

Computer Vision and Pattern Recognition · Computer Science 2021-12-06 Fan Jiang , Andrew Marmon , Ildebrando De Courten , Marc Rasi , Frank Dellaert

Protein-protein interaction (PPI) networks, providing a comprehensive landscape of protein interacting patterns, enable us to explore biological processes and cellular components at multiple resolutions. For a biological process, a number…

Molecular Networks · Quantitative Biology 2016-04-13 Xiuli Ma , Guangyu Zhou , Jingjing Wang , Jian Peng , Jiawei Han

The arc of drug discovery entails a multiparameter optimization problem spanning vast length scales. They key parameters range from solubility (angstroms) to protein-ligand binding (nanometers) to in vivo toxicity (meters). Through feature…

We present a method that compares the protein interaction networks of two species to detect functionally similar (conserved) protein modules between them. The method is based on an algorithm we developed to identify matching subgraphs…

Molecular Networks · Quantitative Biology 2007-05-23 Manikandan Narayanan , Richard M. Karp

Sequence-based protein homology detection has been extensively studied and so far the most sensitive method is based upon comparison of protein sequence profiles, which are derived from multiple sequence alignment (MSA) of sequence homologs…

Quantitative Methods · Quantitative Biology 2015-06-18 Jianzhu Ma , Sheng Wang , Zhiyong Wang , Jinbo Xu

Kernel Ridge Regression (KRR) is a simple yet powerful technique for non-parametric regression whose computation amounts to solving a linear system. This system is usually dense and highly ill-conditioned. In addition, the dimensions of the…

Numerical Analysis · Computer Science 2017-07-18 Haim Avron , Kenneth L. Clarkson , David P. Woodruff