Multi-Domain Adaptive Learning Based on Feasibility Splitting and Adaptive Projected Subgradient Method
スポンサーリンク
概要
- 論文の詳細を見る
We propose the multi-domain adaptive learningthat enables us to find a point meeting possibly time-varying specifications simultaneously in multiple domains, e.g. space, time, frequency, etc. The novel concept is based on the idea of feasibility splitting — dealing with feasibility in each individual domain. We show that the adaptive projected subgradient method(Yamada, 2003) realizes the multi-domain adaptive learning by employing (i) a projected gradient operator with respect to a ‘fixed’ proximity function reflecting the time-invariant specifications and (ii) a subgradient projection with respect to ‘time-varying’ objective functions reflecting the time-varying specifications. The resulting algorithm is suitable for real-time implementation, because it requires no more than metric projections onto closed convex sets each of which accommodates the specification in each domain. A convergence analysis and numerical examples are presented.
- （社）電子情報通信学会の論文
- 2010-02-01
著者
-
Yamada Isao
Department Of Communications And Integrated Systems Tokyo Institute Of Technology
-
Yukawa Masahiro
Laboratory For Mathematical Neuroscience Bsi Riken
-
SLAVAKIS Konstantions
Department of Telecommunications Science and Technology, University of Peloponnese
-
Slavakis Konstantions
Department Of Telecommunications Science And Technology University Of Peloponnese
-
Yamada Isao
Departmen Of Communications And Integrated Systems Tokyo Institute Of Technology
関連論文
- Pressure-Induced Transition of the Interlayer Exchange Interaction from Ferromagnetic to Antiferromagnetic Observed in the Two-Dimensional Ferromagnet (CH_3NH_3)_2 CuCl_4 through Magnetic Susceptibility and Neutron Scattering Measurements : Condensed Matt
- Observation of the Pressure-Induced Weak Ferromagnetic Moment in the Layered Antiferromagnetic Compound (C_2H_5NH_3)_2CuCl_4 by Magnetic Susceptibility and Neutron Scattering Measurements : Condensed Matter: Electronic Properties, etc.
- Temperature and Angular Dependence of Electron Paramagnetic Resonance Line in α'-NaV_2O_5
- Disappearance of the Weak Ferromagnetic Moment under High Pressure Observed in the Two-Dimensional Antiferromagnet (C_3H_7NH_3)_2CuCl_4 through Magnetic Susceptibility Measurements
- Electron Paramagnetic Resonance in the Singlet Dimer System (CH_3)_2CHNH_3CuBr_3 : Condensed Matter: Electronic Properties, etc.
- Field-Induced Magnetization in Ferromagnetic and Antiferromagnetic Alternating Heisenberg Chains Formed in (CH_3)_2CHNH_3CuCl_3 : Condensed Matter: Electronic Properties, etc.
- ^7Li NMR Study of the Triangular Lattice Antiferromagnet LiNiO_2
- ESR Study of the Triangular Lattice Antiferromagnets with S=1/2:NaTiO_2 and LiNiO_2
- ESR Study of the Triangular Lattice Heisenberg Antiferromagnets VX_2(X=Cl,Br and I)
- A Higher Order Generalization of an Alias-Free Discrete Time-Frequency Analysis(Special Section on Digital Signal Processing)
- A Note on Constrained Least Squares Design of M-D FIR Filter Based on Convex Projection Techniques(Special Section on Digital Signal Processing)
- CONSTRAINED LEAST SQUARES DESIGN OF M-D FIR FILTER BASED ON CONVEX PROJECTION TECHNIQUES
- Optical Birefringence Measurements in Ferromagnetic and Antiferromagnetic Alternating Heisenberg Chains (CH_3)_2CHNH_3CuCl_3
- Numerically stable algorithms for adaptive generalized minor subspace extraction (通信方式)
- Numerically stable algorithms for adaptive generalized minor subspace extraction (回路とシステム)
- Numerically stable algorithms for adaptive generalized minor subspace extraction (信号処理)
- Electron Spin Resonance in Ferromagnetic-Dominant Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chains (4-BzpipdH) CuCl_3
- Electron Spin Resonance in Ferromagnetic-Dominant Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chains (4-BzpipdH)CuCl_3
- Field-Induced Magnetic Long-Range Order in the Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chain System (CH_3)_2CHNH_3CuCl_3 Observed by Specific Heat Measurements
- Observation of a Spin-Glass Transition in the S=1 Heisenberg Antiferromagnet Ni(C_2H_8N_2)_2NO_2(ClO_4)
- An Associative Memory Neural Network to Recall Nearest Pattern from Input
- Change of Magnetism in the Two-Dimensional Heisenberg Ferromagnet K_2CuF_4 Observed at High Pressures
- Magnetic Phase Transitions in the Two-Dimensional Random Mixture K_2Cu_xCo_F_4 with Computing Exchange Interactions
- Study of Magnetic Energy in One-Dimensional S=1/2 Heisenberg Antiferromagnet KCuF_3 by Optical Birefringence
- A Set-Theoretic Blind Image Deconvolution Based on Hybrid Steepest Descent Method (Special Section on Digital Signal Processing)
- Static Spin Correlations in a Diluted Two-Dimensional Ferromagnet K_2Cu_xZn_F_4 Including the Percolation Vicinity
- One-Dimensional Heisenberg Ferromagnetic Susceptibility Just at the Percolation Threshold for K_2Cu_xZn_F_4
- Critical Temperature of Randomly Diluted Two-Dimensional Heisenberg Ferromagnet, K_2Cu_xZn_F_4
- High Field Maganetization Process of Random Mixtures with Competing Exchange Interactions K_2Cu_xA_F_4(A=Mn and Co)
- DC Electroluminescence in Mn-Implanted ZnS Thin Films
- Neutron Scattering Study of Two-Dimensional Randomly Mixed Magnets with Competing Anisotropies K_2CuCo_xF_4
- Observation of Sidebands on the EPR Lines in Low-Dimensional Systems
- Observation of Pressure-Induced Structural Transition in K^3CuF^4 by Phonon-Raman Scattering Experiments:Change of the Orbital Ordering by Pressure
- Nonlinear Magnetic-Susceptibility of Two-Diemensional Magnets (C_nH_NH_3)_2CuCl_4 with n=1,2 and 3
- Reexamination of Magnetic Susceptibility and Spin Flop at Low-Field in KCuF_3
- Preparation and Magnetic Susceptibility of Cs_2CuF_4 and Rb_2CuF_4
- Efficient Blind MAI Suppression in DS/CDMA Systems by Embedded Constraint Parallel Projection Techniques(Digital Signal Processing, Papers Selected from the 19th Symposium on Signal Processing)
- Counting the Numbers of DOAs in Specified Ranges by Algebraic Phase Unwrapping Algorithms
- Formation of One-Dimensional Antiferromagnet in KCuF_3 with the Perovskite Structure
- Muon Spin Relaxation Study of Crossover from S=1/2 to S=1 of Composite Haldane Spin Chains in IPA-CuCl_3(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- A Note on Robust Adaptive Volterra Filtering Based on Parallel Subgradient Projection Techniques(Digital Signal Processing)
- New Superlattice Crystal Structure in KCuF_3 Revealed by X-Ray Diffraction Experiments
- Temperature and Frequency Dependence of the ESR Line Width in Two-Dimensional Ferromagnet K_2CuF_4
- A-4-10 Fast Stereo Echo Canceler by Adaptive Projected Subgradient Method with Multiple a priori Information
- A Fast Stochastic Gradient Algorithm : Maximal Use of Sparsification Benefits under Computational Constraints
- Multi-Domain Adaptive Learning Based on Feasibility Splitting and Adaptive Projected Subgradient Method
- Formation of Alternating Antiferromagnetic Heisenberg Chains in (CH_3)_2CHNH_3CuBr_3
- Dimensional reduction techniques for adaptive generalized minor subspace estimation (通信方式)
- Dimensional reduction techniques for adaptive generalized minor subspace estimation (回路とシステム)
- Dimensional reduction techniques for adaptive generalized minor subspace estimation (信号処理)
- Two improvements of the fast iterative shrinkage/thresholding algorithm : Overrelaxation and weak convergence
- Mn-Implanted ZnS Thin Film Electroluminescent Cell
- Generalizing the multiple measurement setting from sparse vector recovery to low-rank matrix recovery (無線通信システム)
- Two improvements of the fast iterative shrinkage/thresholding algorithm: overrelaxation and weak convergence (通信方式)
- Magnetization of Two-Dimensional Ferromagnet K_2CuF_4
- NMR Study of Ferromagnetic K_2CuF_4
- Dynamic Effect of Low-Symmetric Distribution of Spins on EPR Lines in One-Dimensional Magnetic Systems. I. Theory and Experiment in TMMC
- Effect of Low-Symmetric Spin Distribution on EPR Lines in One-Dimensional Magnetic Systems
- Two improvements of the fast iterative shrinkage/thresholding algorithm: overrelaxation and weak convergence (回路とシステム)
- Generalizing the multiple measurement setting from sparse vector recovery to low-rank matrix recovery (信号処理)
- Observation of the Hyperfine Interaction in K_2CuF_4
- Multi-Sublattice Magnetic Structure of KCuF_3 Caused by the Antisymmetric Exchange Interaction : Antiferromagnetic Resonance Measurements
- Ferromagnetism in K_2CuF_4
- Convex Feasibility Problem with Prioritized Hard Constraints : Double Layered Projected Gradient Method(Numerical Analysis and Optimization)
- Shift of Half-Field EPR Lines in Low-Dimensional Magnetic Systems
- The Appearance of an Interdependent Effect of the Antisymmetric Exchange Interaction and Inequivalent g-Tensors in the Antiferromagnetic Resonance Field of KCuF_3
- Dynamic Effect of Low-Symmetric Distribution of Spins on EPR Lines in One-Dimensional Magnetic Systems. II. Enhancement by Cu Doping in TMMC
- A Visually Better Recovered Image Selection for Imaging Inverse Problems
- A Convergence Analysis of G-NPAST Algorithm for Extracting the First Principal Generalized Eigenvector
- Adaptive Generalized Eigen-pair Extraction by A Combination of Normalization and Quasi-Newton Algorithm
- Adaptive Generalized Eigen-pair Extraction by A Combination of Normalization and Quasi-Newton Algorithm
- Three variants of alternating direction method of multipliers without certain inner iterations and their application to image super-resolution via sparse representation
- Three variants of alternating direction method of multipliers without certain inner iterations and their application to image super-resolution via sparse representation
- Three variants of alternating direction method of multipliers without certain inner iterations and their application to image super-resolution via sparse representation
- Mixed Trigonometric Interpolation Techniques for Fast and Stable Algebraic Phase Unwrapping
- Adaptive proximal forward-backward splitting applied to Huber loss function for sparse system identification under impulsive noise
- A Visually Better Recovered Image Selection for Imaging Inverse Problems
- A Convergence Analysis of G-NPAST Algorithm for Extracting the First Principal Generalized Eigenvector
- Adaptive proximal forward-backward splitting applied to Huber loss function for sparse system identification under impulsive noise
- A Visually Better Recovered Image Selection for Imaging Inverse Problems
- A Convergence Analysis of G-NPAST Algorithm for Extracting the First Principal Generalized Eigenvector
- Adaptive proximal forward-backward splitting applied to Huber loss function for sparse system identification under impulsive noise
- Adaptive Generalized Eigen-pair Extraction by A Combination of Normalization and Quasi-Newton Algorithm
- Optical Birefringence Measurements in Ferromagnetic and Antiferromagnetic Alternating Heisenberg Chains (CH3)2CHNH3CuCl3
- Phonon-Raman Scattering in the Two-Dimensional Diluted System K_2Cu_xZn_F_4
- Tracking Analysis of Adaptive Filters with Data Normalization and Error Nonlinearities
- A Robust Algebraic Phase Unwrapping Based on Spline Approximation (システム数理と応用)
- A Robust Algebraic Phase Unwrapping Based on Spline Approximation (回路とシステム)
- Addendum to ESR Study of the Triangular Lattice Antiferromagnets with $S{=}1/2$: NaTiO2 and LiNiO2
- Detecting Reflection from Single Image Based on Nuclear Norm Minimization
- Sparsity-Aware Feed-Forward Active Noise Control with the Adaptive Douglas-Rachford Splitting
- Sparsity-Aware Feed-Forward Active Noise Control with the Adaptive Douglas-Rachford Splitting
- Detecting Reflection from Single Image Based on Nuclear Norm Minimization
- Detecting Reflection from Single Image Based on Nuclear Norm Minimization
- Sparsity-Aware Feed-Forward Active Noise Control with the Adaptive Douglas-Rachford Splitting
- Blockwise Low-Rank Prior for Cartoon-Texture Image Decomposition
- Blockwise Low-Rank Prior for Cartoon-Texture Image Decomposition
- Overlapped Local Color Nuclear Norm And Its Constrained Use
- Adaptive proximal forward-backward splitting applied to Huber loss function for sparse system identification under impulsive noise
- Adaptive proximal forward-backward splitting applied to Huber loss function for sparse system identification under impulsive noise