Statistical signal & image processing
Research interests
Prominent research activities in
statistical signal & image processing conducted by the SC group are currently dedicated to the following research areas.
Signal & image analysis and representation
- non-uniform sampling and reconstruction
- spectral analysis: empirical mode decomposition, AM/FM decomposition
- time-frequency analysis: reassignment and synchrosqueezing
- multiscale, multi-resolution and multifractal analysis: scale invariance, self-similarity, local regularity, texture analysis
Inverse problems and computational imaging
Machine learning for signal & image processing
- blind source separation: independent component analysis (ICA), nonnegative matrix factorization (NMF)
- representation learning: dictionary learning, subspace learning, adaptive and fast transforms
- structured modeling: sparse, anti-sparse and low-rank models
Tools and methods
Bayesian modeling and computation
- (hierarchical) Bayesian inference [1] [2]
- latent variable models, hidden Markov models, Markov random fields
- Bayesian nonparametrics: Beta, Dirichlet and Gaussian processes
- Markov chain Monte Carlo (MCMC) algorithms: Metropolis-Hastings, (partially collapsed) Gibbs samplers, reversible jump algorithms, Hamiltonian Monte Carlo, proximal-MALA
- approximate Bayesian computations (ABC), variational Bayesian methods
Deterministic and stochastic optimization
- splitting and proximal algorithms
- augmented Lagrangian methods
- majorization-minimization algorithms
- Monte Carlo integrations and approximations (see above)
Applications
Geoscience and remote sensing
- hyperspectral imaging: spectral unmixing, nonlinearity and variability detections, segmentation/classification, fusion (e.g., pansharpening)
- multi-temporal image analysis: change detection, unmixing
- conventional and delay/Doppler altimetry: modeling and parameter estimation
Biomedical imaging and engineering
Diagnosis and condition monitoring
- detection and diagnosis of mechanical and bearing faults in electrical machines
- processing of anemometric and inertial data in flight control systems
- aging modeling for prognosis in electrical engineering
- music signal decomposition
- multichannel source separation
- audio restoration
- music chord recognition
Microscopy and spectroscopy
Art investigation and cultural heritage
