matrix decomposition algorithm
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2020 ◽  
Vol 11 (1) ◽  
Author(s):  
Diego Galeano ◽  
Shantao Li ◽  
Mark Gerstein ◽  
Alberto Paccanaro

Abstract A central issue in drug risk-benefit assessment is identifying frequencies of side effects in humans. Currently, frequencies are experimentally determined in randomised controlled clinical trials. We present a machine learning framework for computationally predicting frequencies of drug side effects. Our matrix decomposition algorithm learns latent signatures of drugs and side effects that are both reproducible and biologically interpretable. We show the usefulness of our approach on 759 structurally and therapeutically diverse drugs and 994 side effects from all human physiological systems. Our approach can be applied to any drug for which a small number of side effect frequencies have been identified, in order to predict the frequencies of further, yet unidentified, side effects. We show that our model is informative of the biology underlying drug activity: individual components of the drug signatures are related to the distinct anatomical categories of the drugs and to the specific drug routes of administration.





2014 ◽  
Vol 981 ◽  
pp. 323-326
Author(s):  
Hai Huang ◽  
Jia Ming Liu ◽  
Xue Bin Lu ◽  
Bin Yu

This paper proposes a unified architecture for computation of discrete cosine transform (DCT) and its inverse transform (IDCT). The matrix decomposition algorithm is used to deduce the proposed algorithm. Based on this algorithm, a unified DCT/IDCT architecture is developed. Then, this architecture is modeled in HDL, verified and implemented with FPGA. Experiment results show that the unified DCT/IDCT architecture has low hardware complexity and high calculation accuracy.



2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Chenxue Yang ◽  
Tao Li ◽  
Mao Ye ◽  
Zijian Liu ◽  
Jiao Bao

Nonnegative matrix factorization (NMF) is a useful tool in learning a basic representation of image data. However, its performance and applicability in real scenarios are limited because of the lack of image information. In this paper, we propose a constrained matrix decomposition algorithm for image representation which contains parameters associated with the characteristics of image data sets. Particularly, we impose label information as additional hard constraints to theα-divergence-NMF unsupervised learning algorithm. The resulted algorithm is derived by using Karush-Kuhn-Tucker (KKT) conditions as well as the projected gradient and its monotonic local convergence is proved by using auxiliary functions. In addition, we provide a method to select the parameters to our semisupervised matrix decomposition algorithm in the experiment. Compared with the state-of-the-art approaches, our method with the parameters has the best classification accuracy on three image data sets.



Radio Science ◽  
2012 ◽  
Vol 47 (2) ◽  
pp. n/a-n/a ◽  
Author(s):  
Zhaoneng Jiang ◽  
Ru-shan Chen ◽  
Zhenhong Fan ◽  
Maomao Zhu


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