The Generalization of Non-Negative Matrix Factorization Based on Algorithmic Stability
نویسندگان
چکیده
The Non-negative Matrix Factorization (NMF) is a popular technique for intelligent systems, which can be widely used to decompose nonnegative matrix into two factor matrices: basis and coefficient one, respectively. main objective of NMF ensure that the operation results matrices are as close original possible. Meanwhile, stability generalization ability algorithm should ensured. Therefore, performance algorithms analyzed from perspective error bounds given, named AS-NMF. Firstly, general prediction proposed, predict labels new samples, then corresponding loss function defined further. Secondly, according function, obtained by employing uniform in case where U fixed it not under multiplicative update rule. numerically show its parameter depends on upper bound module length input data, dimension hidden Frobenius norm matrix. Finally, stable framework established, analyze measure algorithm. experimental demonstrate advantages methods three benchmark datasets, indicate our AS-NMF only achieve efficient performance, but also outperform state-of-the-art recommending tasks terms model stability.
منابع مشابه
Non-stationary Noise Estimation Based on Non-negative Matrix Factorization
In this paper, we apply a non-negative matrix factorization (NMF) technique to propose a method of estimating noise occurring in non-stationary environments. In the proposed method, the basis matrix of the target noise is first obtained via NMF training. The noise basis is then applied to estimate an activation matrix of the target noise from the noisy signal. The proposed method is finally app...
متن کاملNon-negative Matrix Factorization on Kernels
In this paper, we extend the original non-negative matrix factorization (NMF) to kernel NMF (KNMF). The advantages of KNMF over NMF are: 1) it could extract more useful features hidden in the original data through some kernel-induced nonlinear mappings; 2) it can deal with data where only relationships (similarities or dissimilarities) between objects are known; 3) it can process data with nega...
متن کاملNon-negative Matrix Factorization on GPU
Today, the need of large data collection processing increase. Such type of data can has very large dimension and hidden relationships. Analyzing this type of data leads to many errors and noise, therefore, dimension reduction techniques are applied. Many techniques of reduction were developed, e.g. SVD, SDD, PCA, ICA and NMF. Non-negative matrix factorization (NMF) has main advantage in process...
متن کاملMultimodal voice conversion based on non-negative matrix factorization
A multimodal voice conversion (VC) method for noisy environments is proposed. In our previous non-negative matrix factorization (NMF)-based VC method, source and target exemplars are extracted from parallel training data, in which the same texts are uttered by the source and target speakers. The input source signal is then decomposed into source exemplars, noise exemplars, and their weights. Th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronics
سال: 2023
ISSN: ['2079-9292']
DOI: https://doi.org/10.3390/electronics12051147