Trim size: mm x mm Single Column_BW book.tex // : page 

631

Index

a b abundance  bagofwordsfeatures  access point  bagofwordskernel  active learning , , ,  band-pass ,,,,,,, adaptive filtering xix, , , , , , , ,  , ,  bandwidth , , , , , , , adaptive kernel learning ,  , , , , ,  additive noise , , , , base-band representation  ,  basis  additive noise model ,  basis pursuit ,  alternative hypothesis ,  Bayesian nonparametric , , analysis equation ,  ,  anomaly change detection , ,  Bernoulli–Gauss distribution ,  anomaly detection , , ,  Bernoulli process  antenna array , , , , , , bias–variance dilemma  ,  bi-exponential distribution see anti-causal systems  Laplacian noise array processing , , , , , , big data  , , , , ,  biomedical signals , , ,  audio , , , , , , ,  biophysical ,  audio compression  bit error rate (BER) , , , , autocorrelation , ,  ,  autocorrelation-induced kernel, Blackman–Tukey correlogram  autocorrelation kernel  blind source separation (BSS) , autocorrelation kernelCOPYRIGHTED , , , , , MATERIAL  , , , , ,  Bootstrap resampling , , , , autocorrelation matrix , , , , ,  , ,  B-scan  autoregressive (AR)  Burg’s method  autoregressive and moving average butterfly algorithm  (ARMA)  autoregressive and exogenous c (ARX) , , , , , , , canonical basis  ,  cardiac mesh 

Digital Signal Processing with Kernel Methods, First Edition. José Luis Rojo-Álvarez, Manel Martínez-Ramón, Jordi Muñoz-Marí, and Gustau Camps-Valls. ©  John Wiley & Sons Ltd. Published  by John Wiley & Sons Ltd. Trim size: mm x mm Single Column_BW book.tex // : page 

632 Index

cardiac navigation systems , ,  convolution , , , , , , , cardiac signal ,  ,  cardiag image  convolution (multidimensional)  Cauchy–Schwartz inequality , correlation , , , , , , , ,  , , , , , ,  Cauchy sequence  correlogram  causal systems  costfunction ,,,,,, centering , , , ,  , , , ,  change detection , ,  covariance function , ,  change vector analysis  covariance operator , , ,  channel estimation , , , covariate shift  ,  cross-correlation , , , , chaotic ,,,,, ,  Choi–Williams distribution  cross-covariance , , , , Cholesky decomposition  ,  Cholesky factorization ,  cross-information , , ,  chronocrome  cross-validation , , , , , classification , , , , , , , , , , , , ,  , , , , , ,  CUSUM  clustering , , , , , , , , , , , ,  d codebook ,,, deal effect curve ,  collinearity ,  decision tree  color image ,  deconvolution , , , , , communication , , , , , , , ,  , , , , , , , denoising , , , , , , ,  ,  complex algebra , , ,  determination coefficient  complex envelope  dictionary learning  complex exponential , , , , , digital filtering  , , ,  dimensionality reduction , , , complexification trick  , , ,  complex signal , , , , , , Dirac delta , , ,  ,  direction of arrival (DOA)  composite kernel , , , , , discrete cosine transform (DCT) ,  , ,  discrete-time signals , , , , compressed sensing , , ,  ,  confidence interval (CI) , , domain adaptation , , , ,  ,  constrained covariance (COCO)  domain description , , , continuous-time equivalent system for ,  nonuniform interpolation ,  dot product , , , , , , , continuous-time signals , , , , , , , , , , , , , ,  , , ,  convex , , , , , , , double side band  , , , , , ,  dual parameters  Trim size: mm x mm Single Column_BW book.tex // : page 

Index 633

dual representation ,  frequency ,,,,,,,, dual signal model (DSM) , , , , , , , , , , ,  ,  functional analysis , ,  e function approximation , , , , eigenfunctions  , , , , , , ,  electric networks  fuzzy , , ,  electroanatomic map (EAM) ,  fuzzy clustering  electrocardiogram (ECG)  electroencephalogram (EEG) , g ,  Gabor transform  elliptical , ,  gamma distribution  empirical kernel map  gamma-filter ,,,,,, empirical risk , , , , , , , , , , , ,  ,  endmember , ,  gamma function  energy  Gaussian distribution , , , energy spectral density  ,  equalization , , , , , , Gaussian mixture model ,  (GMM) ,  Euclidean distance  Gaussian mixtures  Euclidean divergence  Gaussian noise  Euler–Poincaré formula  Gaussian processes , , ,  evidence ,  generative kernel ,  expectation–maximization  genetic ,  eye diagram  Gram matrix  graph , , , , , , , , f , ,  feature map , , , , , , graph Laplacian , , , , , , ,  ,  feature mapping , , ,  graph Laplacian matrix  feature space  Grassman–Stiefel manifold  feedback ,  grayscale image  filter  greedy algorithms  filter bank analysis  filtering , , , , , , , , , h , , , , , , , , Hammerstein system  , , ,  Hammerstein–Wiener model  finite impulse response (FIR) , , , Hanning pulse  , , , , ,  heart rate variability (HRV) , , , Fisher discriminant ,  ,  Fourier coefficients ,  Heisenberg’s principle  Fourier transform  Hermitian signal  fractal  Hermitic transpose operator  free parameters , , , , , heteroscedastic ,,,, , , , , , ,  ,  Trim size: mm x mm Single Column_BW book.tex // : page 

634 Index

Hilbert–Schmidt component analysis j (HSCA) ,  Jacobian weighting  Hilbert–Schmidt independence criterion Jensen–Shannon ,  (HSIC) , , , ,  jitter  Hilbert space , , , , , , joint input-output mapping ,  , , , , , , , , , , , , ,  k hingeloss ,,,, Kalman , , , ,  histogram kernel  Kalmanfilter ,,, Holter , ,  Karhunen–Loeve  homoscedastic  Karush–Kuhn–Tucker conditions  Hotelling’s test , , , , , kernel   kernel adaptive filtering ,  Huber ,,,,,,, kernel alignment , ,  , , , , , ,  kernel autoregressive and moving average 𝜖 -Huber , , , , , ,  (KARMA) ,  Huber loss  kernel blind source separation hyperparameters  (KBSS) ,  hyperresolution method  kernel canonical correlation analysis hyperspectral , , , , , (KCCA) , ,  ,  kernel density estimation ,  hypothesis testing , , ,  kernel dependence estimation ,  kernel dimensionality reduction i (KDR) ,  ill-posed problem , ,  kernel entropy component analysis incomplete Cholesky decomposition (KECA)  (ICD)  Kernel Fisher’s discriminant analysis independent component analysis (KFDA) ,  (ICA) ,  kernel generalized variance (KGV)  indoor location , ,  kernel independent component analysis information divergence ,  (KICA) , ,  information potential  kernelization  information-theoretic learning , , kernel least mean squares (KLMS) ,  ,  inner product , , ,  see also kernel manifold alignment dot product; scalar product (KEMA) ,  inner product space  kernel matrix ,  innovation process ,  kernel mean matching (KMM)  in-phase and quadrature-phase ,  kernel methods  input features , ,  kernel multivariate analysis input space ,  (KMVA) ,  𝜖-insensitive loss , ,  kernel mutual information (KMI)  interception  kernel orthonormalized partial least interpolation ,,,,,,, squares (KOPLS) , , , , , , , , , , ,   invariance learning , ,  kernel partial least squares (KPLS) , isomap  ,  Trim size: mm x mm Single Column_BW book.tex // : page 

Index 635

kernel principal component analysis m (KPCA)  Mackey–Glass , , , , kernel recursive least squares ,  (KRLS)  magnetic resonance imaging (MRI) ,  kernel ridge regression (KRR) , , manifold alignment , , , ,  ,  kernel signal to noise ratio (KSNR) , manifolds ,,,,,,,  , ,  kernel trick , , , , , , Margenau–Hill distribution  , , , , ,  marketing  Kirchoff operator  Markov chain  Kirkwood distribution taking  matched filter ,  k-means ,,,,, maximum a posteriori (MAP)  ,  maximum likelihood (ML) , , , , k nearest neighbors (k-NN) , ,  , , , , , , ,  Kronecker delta  maximum mean discrepancy (MMD) , ,  l minimum power distortionless response Label Propagation ,  (MPDR)  Lagrange functional ,  maximum variance unfolding Laplace–Beltrami operator  (MVU)  Laplace–de Rham operator ,  mean map kernel  Laplacian eigenmaps (LE) ,  medical imaging , ,  Laplacian noise  memory depth , , ,  Laplacian operator  Mercer, James  Large Margin Filtering (LMF)  Mercer’s kernel , ,  large-scale ,,,,, Mercer’s theorem ,  latent space , , ,  M-estimate  least absolute deviation (LAD)  metric ,,,,,, least absolute shrinkage and selection ,  operator (LASSO)  Mexican hat wavelet  least mean squares (LMS) ,  MIMO see multi-input multi-output least squares (LS) , , , , , (MIMO) , , ,  minimax  Least-Squares Support Vector Machine minimum mean square error (MMSE)  (LS-SVM) ,  minimum noise fraction (MNF) , linear and time-invariant (LTI) ,  systems  minimum phase  linear discriminant analysis (LDA) , minimum variance distortionless response , , ,  (MVDR)  linear independence  model diagnosis ,  l-norm , , , ,  modulated kernel  l-norm , , , , ,  modulation , , , , , , ,  locally linear embedding (LLE)  moving average (MA)  logistic regression  multiclass , , , , , , Lomb periodogram , ,  ,  Lorenz  multidimensional sampling  Trim size: mm x mm Single Column_BW book.tex // : page 

636 Index

multidimensional scaling (MDS) , o  one-against-one (OAO)  multidimensional signal ,  one-class classification ,  multi-input multi-output (MIMO) ,  one-class support measure machines multilabel , , ,  (OC-SMM)  multi-output , ,  one-class support vector machine , multiple kernel learning (MKL) ,  ,  online learning , , , ,  multiple signal classification (MUSIC)  online regression  multiresolution analysis  online sparsification  multispectral remote-sensing  optimization functional  multiuser detection ,  optimized kernel entropy component mutual information , , , , analysis (OKECA)  , ,  orthogonal base ,  orthogonal frequency division n multiplexing (OFDM) ,  Nadayara–Watson (NW)  orthogonality  natural signals , ,  orthogonal subspace projection neural networks , , ,  (OSP) ,  neuron ,  orthonormal base  noise  outlier ,,,,,,, nonlinear algorithms , ,   nonlinear channel identification  overfitting , , , , , , nonlinearity/nonlinearities , , , ,  , , , , , ,  nonlinear signal model  p nonlinear SVM , , ,  Page distribution  nonlinear system identification , , parallelization ,  , , , , , , , parameter estimation , , , , ,  ,  nonparametric , , , , , , , parametric spectral analysis ,  , , , , , , , , Parseval identity   Parseval’s theorem  nonparametric spectral analysis , , parsimonious ,  , ,  Parzen windows , , ,  nonuniform interpolation , , , pervasive change  ,  phase ,,,,,,,, nonuniform sampling , , , , , , , , , , , , ,  , ,  normal equation ,  posterior probability , , ,  normalization , , , , , power  , , , , , ,  power spectral density  null hypothesis  pre-image ,  Nyquist pulse  primal-dual functional ,  Nyquist theorem  primal representation , ,  Trim size: mm x mm Single Column_BW book.tex // : page 

Index 637

principal component analysis (PCA) , Rényi entropy ,   replication (bootstrap)  prior probability ,  representer theorem  probabilistic cluster kernel  reproducing kernel Hilbert space probability density function  (RKHS) , , , , , , probability product kernel   projections ,,,,,, reproducing property  , , ,  resample (bootstrap) ,  promotion , , ,  residual  pseudoinverse , ,  Riesz representation theorem ,  pyramid match kernel  Rihaczek distribution  Pytagorean theorem  RKHS signal model (RSM) , , ,  q R-mode  Q-mode ,  running spectrum  QRS complex  quadrature amplitude modulation s (QAM)  sample selection ,  quadrature-phase see in-phase and sampling  quadrature-phase sampling period , , , , ,  quadrature-phase shift keying satellite image , , , ,  (QPSK)  scalar product ,  see also inner product r seismology  radar , , , , , , ,  self-organizing map (SOM)  radial basis function (RBF) , , , semiparametric regression (SR) , , ,   random Fourier features (RFF) , , semisupervised , , , , ,  ,  rank ,,,,,,,, Shannon  , ,  Shannon’s sampling theorem , ,  Rayleigh distribution  shift-invariant ,,,,, received signal strength   recursive filters  signal  recursive least squares ,  signal detection , , , ,  recursivity , , , , ,  signal interpolation , , , , , reflectivity   regression , , , , , , , signal model , , ,  , , , , , , , , signal space  , , , , , , , signal-to-noise ratio (SNR) ,  ,  similarity , , ,  regularization ,,, sinc function  relevance vector machine (RVM) , sinc interpolation , , , , , ,  , , ,  reliability , ,  sinc interpolator  remote sensing , ,  single side-band  Trim size: mm x mm Single Column_BW book.tex // : page 

638 Index

slackvariable ,,,,, t , ,  tachogram  snapshot , , , ,  temporal reference  social networks  tensor-product kernel  sparse deconvolution , , , tessellation  ,  texture classification  sparse kernel feature extraction  thermal noise , , , ,  sparse learning  thin plate spline  sparsity ,,,,,,, Tikhonov regularization , , , , , , , , ,  , ,  spatial reference  time series prediction , , , , spectral ,,,,,,,, , ,  , ,  transductive support vector machine spectral angle mapper (SAM) , (TSVM) ,  ,  transfer component analysis (TCA) , spectrogram   spectrum ,  transfer learning  speech recognition , , ,  transform coding  stacked kernel , , , ,  translation-invariant kernel  state-space representation ,  triangle inequality  steering vector , , ,  Tutte Laplacian  stiffness matrix  structural risk , , , ,  structured output learning ,  u structure-preserving algorithms  ultrasound , , , , subband coding algorithm  ,  subspace  unmixing , ,  subspace detector , ,  unscented Kalman filter (UKF)  subspace methods  unsupervised , , , , , , supportvector ,,,,,, ,  , , , , , ,  v support vector domain description Vapnik-Chervonenkis capacity (SVDD) ,  (VCC) ,  support vector machine for digital signal variance , , , , , , , , processing (SVM for DSP) , , , , , , , , , , ,  , , ,  support vector machines (SVMs) , vector quantization algorithms  , , , ,  vector space ,  support vector regression (SVR) , Volterra ,, , , ,  Voronoi ,  surrogate  synthesis equation  system identification , , , , , w , , , , , , , , warped Gaussian Process Regression ,  (WGP) ,  systems with memory  wavelet function , , ,  Trim size: mm x mm Single Column_BW book.tex // : page 

Index 639

Welch periodogram ,  y Wiener  Yen’s interpolator  Wiener filter  Wiener system  z Wigner–Ville distribution  z-transform 