Non-negative matrix factorization techniques : advances in theory and applications /: advances in theory and applications. ([2016])
- Record Type:
- Book
- Title:
- Non-negative matrix factorization techniques : advances in theory and applications /: advances in theory and applications. ([2016])
- Main Title:
- Non-negative matrix factorization techniques : advances in theory and applications
- Further Information:
- Note: Ganesh R. Naik, editor.
- Editors:
- Naik, Ganesh R
- Contents:
- Preface; Contents; 1 From Binary NMF to Variational Bayes NMF: A Probabilistic Approach; 1.1 Motivation; 1.2 NMF for Binary Data Sets; 1.2.1 Binary NMF: A Poisson Yield Model; 1.2.2 Bernoulli Likelihood and Gradient Ascent Optimization; 1.2.3 Heuristic Multiplicative Update Rules; 1.2.4 Applications to Wafer Maps; 1.2.5 Logistic NMF; 1.2.6 Related Works for Binary Data Sets; 1.3 Probabilistic Approaches to NMF ; 1.3.1 NMF as a Constrained Optimization Problem; 1.3.2 Estimating Posterior Distributions of Latent Factors Without Prior Knowledge; 1.3.3 Algorithms for Minimum Volume NMF. 1.3.4 Bayesian Model Order Selection1.3.5 VBNMF Simulations on Toy Data Sets; 1.4 Conclusion; References; 2 Nonnegative Matrix Factorizations for Intelligent Data Analysis; 2.1 Introduction; 2.2 Intelligent Data Analysis; 2.2.1 Dimensionality Reduction Techniques; 2.3 Nonnegative Matrix Factorization; 2.3.1 NMF Mathematical Formulation; 2.3.2 Interpretation of the Basis and Encoding Matrices; 2.3.3 Comparison of NMF and PCA; 2.4 Constrained NMF; 2.4.1 Sparse NMF; 2.4.2 Orthogonal NMF and Clustering Capabilities; 2.4.3 Semi-Supervised NMF. 2.5 An Illustrative Example: NMF for Educational Data Mining2.6 Conclusions; References; 3 Automatic Extractive Multi-document Summarization Based on Archetypal Analysis; 3.1 Introduction; 3.2 Related Work; 3.3 Archetypal Analysis; 3.4 The Proposed Approach; 3.5 Experiments; 3.6 Conclusion and Further Work; References; 4 Bounded Matrix Low Rank Approximation;Preface; Contents; 1 From Binary NMF to Variational Bayes NMF: A Probabilistic Approach; 1.1 Motivation; 1.2 NMF for Binary Data Sets; 1.2.1 Binary NMF: A Poisson Yield Model; 1.2.2 Bernoulli Likelihood and Gradient Ascent Optimization; 1.2.3 Heuristic Multiplicative Update Rules; 1.2.4 Applications to Wafer Maps; 1.2.5 Logistic NMF; 1.2.6 Related Works for Binary Data Sets; 1.3 Probabilistic Approaches to NMF ; 1.3.1 NMF as a Constrained Optimization Problem; 1.3.2 Estimating Posterior Distributions of Latent Factors Without Prior Knowledge; 1.3.3 Algorithms for Minimum Volume NMF. 1.3.4 Bayesian Model Order Selection1.3.5 VBNMF Simulations on Toy Data Sets; 1.4 Conclusion; References; 2 Nonnegative Matrix Factorizations for Intelligent Data Analysis; 2.1 Introduction; 2.2 Intelligent Data Analysis; 2.2.1 Dimensionality Reduction Techniques; 2.3 Nonnegative Matrix Factorization; 2.3.1 NMF Mathematical Formulation; 2.3.2 Interpretation of the Basis and Encoding Matrices; 2.3.3 Comparison of NMF and PCA; 2.4 Constrained NMF; 2.4.1 Sparse NMF; 2.4.2 Orthogonal NMF and Clustering Capabilities; 2.4.3 Semi-Supervised NMF. 2.5 An Illustrative Example: NMF for Educational Data Mining2.6 Conclusions; References; 3 Automatic Extractive Multi-document Summarization Based on Archetypal Analysis; 3.1 Introduction; 3.2 Related Work; 3.3 Archetypal Analysis; 3.4 The Proposed Approach; 3.5 Experiments; 3.6 Conclusion and Further Work; References; 4 Bounded Matrix Low Rank Approximation; 4.1 Introduction; 4.2 Related Work; 4.2.1 Our Contributions; 4.3 Foundations; 4.3.1 NMF and Block Coordinate Descent; 4.3.2 Bounded Matrix Low Rank Approximation; 4.3.3 Bounding Existing ALS Algorithms (BALS); 4.4 Implementations. 4.4.1 Bounded Matrix Low Rank Approximation4.4.2 Scaling up Bounded Matrix Low Rank Approximation; 4.4.3 Bounding Existing ALS Algorithms (BALS); 4.4.4 Parameter Tuning; 4.5 Experimentation; 4.6 Conclusion; References; 5 A Modified NMF-Based Filter Bank Approach for Enhancement of Speech Data in Nonstationary Noise; 5.1 Introduction; 5.2 Proposed Speech Enhancement Method; 5.2.1 Filter Bank; 5.2.2 Modified NMF; 5.3 Experiment; 5.3.1 Data; 5.3.2 Parameters Used; 5.3.3 Results and Analysis; 5.4 Discussion and Conclusion; References. … (more)
- Publisher Details:
- Heidelberg : Springer
- Publication Date:
- 2016
- Copyright Date:
- 2016
- Extent:
- 1 online resource
- Subjects:
- 512.9/434
Engineering
Non-negative matrices
Matrices
Signal processing -- Mathematics
MATHEMATICS -- Algebra -- Intermediate
Matrices
Non-negative matrices
Signal processing -- Mathematics
Computers -- Computer Vision & Pattern Recognition
Mathematics -- Counting & Numeration
Computers -- Intelligence (AI) & Semantics
Technology & Engineering -- Engineering (General)
Computer vision
Numerical analysis
Artificial intelligence
Biomedical engineering
Computer vision
Computer science_xMathematics
Artificial intelligence
Biomedical engineering
Technology & Engineering -- Electronics -- General
Imaging systems & technology
Electronic books
Electronic books - Languages:
- English
- ISBNs:
- 9783662483312
3662483319
3662483300
9783662483305 - Related ISBNs:
- 9783662483305
- Notes:
- Note: Includes bibliographical references.
Note: Online resource; title from PDF title page (EBSCO, viewed October 2, 2015). - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.331364
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