Scientists / Open questions
Ingrid Daubechies
Wavelet analysis; applied harmonic analysis
10 questions
Scalability of wavelet-regularized seismic tomography to large three-dimensional problems
Decidability of right-convergent matrix-product families: the RCP SET, CONTINUOUS RCP SET, and subunit joint spectral radius problems of Daubechies and Lagarias
A quantitative separation theory for the synchrosqueezing transform beyond the idealized two-harmonic model
Efficiency, approximation guarantees, and parameter selection for the conformal Wasserstein (cW/cWn) and continuous Procrustes (cP) surface distances in automated anatomical morphometrics
Quantitative spectral theory of dilation-adapted time-frequency localization operators: plunge-region profiles, corrected density laws, and generator decay (Daubechies-Paul, affine setting)
Fundamental accuracy limits of one-bit sigma-delta quantization of bandlimited functions: the optimal exponential error-decay rate and its compatibility with stability and robustness
Global convergence of smoothed iteratively reweighted least squares for nonconvex -minimization in sparse recovery
A general theory of alternative-norm dual Gabor windows: complementary operators for arbitrary regularizers and non-quadratic optimality criteria
The optimal support-regularity-phase envelope and admissible parameter space of compactly supported orthonormal wavelet filters (Daubechies, 1988)
Cost-optimal reversible integer wavelet constructions: minimal expansion factors, tiling geometry of rounded lifting, and cost-optimal lifting factorizations