Ingrid Daubechies' Publication List
All "papers" (including various book chapters, a book, and a video) are listed in the chronological order of their creation. Boldface titles indicate original research results published or to be published in, or submitted to, refereed research journals or books. The other titles contain these same results in a different form (Ph.D. thesis, book, review articles, conference proceedings, ...).

I. Daubechies, An application of hyperdifferential operators to holomorphic quantization, Lett. Math. Phys., 2 (6), pp. 459469, 1978.

D. Aerts and I. Daubechies, About the structurepreserving maps of a quantum mechanical propositional system, Helv. Phys. Acta, 51, pp. 637660, 1978.

D. Aerts and I. Daubechies, Physical justification for using the tensor product to describe two quantum systems as one joint system, Helv. Phys. Acta, 51, pp. 661675, 1978.

D. Aerts and I. Daubechies, A connection between propositional systems in Hilbert spaces and von Neumann algebras, Helv. Phys. Acta, 52, pp. 184199, 1979.

D. Aerts and I. Daubechies, A characterization of subsystems in physics, Lett. Math. Phys., 3 (1), pp. 1117, 1979.

D. Aerts and I. Daubechies, A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation, Lett. Math. Phys., 3 (1), pp. 1927, 1979.

I. Daubechies, Coherent states and projective representation of the linear canonical transformations, J. Math. Phys., 21 (6), pp. 13771389, 1980.

I. Daubechies and A. Grossmann, An integral transform related to quantization, J. Math. Phys., 21 (8), pp. 20802090, 1980.

I. Daubechies, On the distributions corresponding to bounded operators in the Weyl quantization, Comm. Math. Phys., 75 (3), pp. 229238, 1980.
 I. Daubechies, "Representation of quantum mechanical operators by kernels on Hilbert spaces of analytic functions," Ph.D. Thesis, Free University Brussels (VUB), 1980.
 I. Daubechies, "Weylkwantisatie bestudeerd langs de koherente toestanden om," Contest for Travelling Fellowships of the Belgian Government, 1980, (in Dutch).

J.R. Klauder and I. Daubechies, Measures for path integrals, Phys. Rev. Lett., 48, pp. 117120, 1982.

I. Daubechies, A. Grossmann, and J. Reignier, An integral transform related to quantization II: Some mathematical properties, J. Math. Phys., 24 (2), pp. 239243, 1983.

I. Daubechies and J.R. Klauder, Constructing measures for path integrals, J. Math. Phys., 23 (10), pp. 18061822, 1982.
 J.R. Klauder and I. Daubechies, "Wiener measures for quantum mechanical path integrals," in Stochastic Processes
in Quantum Theory
and Statistical Physics 173,
S. Albeverio, Ph. Combe, and M. SirugueCollin (Eds.), pp. 244247, Springer Berlin / Heidelberg, 1982.

I. Daubechies, Continuity statements and counterintuitive examples in connection with Weyl quantization, J. Math. Phys., 24 (6), pp. 14531461, 1983.

D. Aerts and I. Daubechies, A simple proof that the logical structure preserving map between quantum mechanical proposition systems conserves the angles, Helv. Phys. Acta, 56, pp. 11871190, 1983.

I. Daubechies and J.R. Klauder, Measures for more quadratic path integrals, Lett. Math. Phys., 7 (3), pp. 229234, 1983.

I. Daubechies and E. Lieb, Oneelectron relativistic molecules with Coulomb interaction, Comm. Math. Phys., 90 (4), pp. 497510, 1983. Also as part of book entitled The Stability of Matter: From Atoms to Stars, Selecta of Elliott H. Lieb, Part V, W. Thirring (Ed.), Springer Berlin Heidelberg, 2005.

I. Daubechies, An uncertainty principle for fermions with generalized kinetic energy, Comm. Math. Phys., 90 (4), pp. 511520, 1983.
 I. Daubechies and E. Lieb, "Relativistic molecules with Coulomb interaction," pp. 143148 in Proceedings of the 1983 UAB Conference on Differential Equations, eds. I. Knowles and R. Lewis, NorthHolland, 1984.

J.R. Klauder and I. Daubechies, Quantum mechanical path integrals with Wiener measures for all polynomial Hamiltonians, Phys. Rev. Lett., 52, pp. 11611164, 1984.

I. Daubechies, One electron molecules with relativistic kinetic energy: Properties of the discrete spectrum, Comm. Math. Phys., 94 (4) , pp. 523535, 1984.
 I. Daubechies, "Weylkwantisatie bestudeerd via een integraaltransformatie met behulp van het koherentetoestandenformalisme," Paper awarded the 1984 Louis Empain Prize (Belgium) for Physics, 1984, (in Dutch).

I. Daubechies and J.R. Klauder, Quantummechanical path integrals with Wiener measure for all polynomial Hamiltonians. II, J. Math. Phys., 26 (9), pp. 22392256, 1985.

I. Daubechies, A. Grossmann, and Y. Meyer, Painless nonorthogonal expansions, J. Math. Phys., 27 (5), pp. 12711283, 1986.
 I. Daubechies and J.R. Klauder, "True measures for real time path integrals," pp. 425432 in Path Integrals from meV to MeV, eds. S. Albeverio, C. Inomata, J.R. Klauder, and L. Streit, World Scientific, 1986.

I. Daubechies and A. Grossmann, Frames in the Bargmann space of entire functions, Comm. Pure & Appl. Math., 41 (2), pp. 151164, 1988.

I. Daubechies, J.R. Klauder, and T. Paul, Wiener measures for path integrals with affine kinematic variables, J. Math. Phys., 28 (1), pp. 85102, 1987.
 I. Daubechies, "Discrete sets of coherent states and their use in signal analysis," in Differential Equations and Mathematical Physics 1285, I.W. Knowles and Y. Saito (Eds.), pp. 7382, Springer Berlin / Heidelberg, 1987.

I. Daubechies, Timefrequency localization operators: a geometric phase space approach, IEEE Trans. Inf. Theory, 34 (4), pp. 605612, 1988.
 I. Daubechies and T. Paul, "Wavelets  some applications," pp. 675686 in Proceedings of the International Conference on Mathematical Physics, eds. M. Mebkhout and R. Seneor, World Scientific, Marseille, France, 1987.

I. Daubechies, The wavelet transform, timefrequency localization and signal analysis, IEEE Trans. Inf. Theory, 36 (5), pp. 9611005, 1990.

I. Daubechies and T. Paul, Timefrequency localization operatorsa geometric phase space approach II. The use of dilations, Inverse Problems, 4 (3), pp. 661680, 1988.

I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure & Appl. Math., 41 (7), pp. 909996, 1988.
 I. Daubechies, "Orthonormal bases of wavelets with finite support  connection with discrete filters," Proceedings of the 1987 International Workshop on Wavelets and Applications, Marseille, France, eds. J.M. Combes, A. Grossmann, and Ph. Tchamitchian, Springer, Berlin, 1989.

I. Daubechies and A.J.E.M. Janssen, Two theorems on lattice expansions, IEEE Trans. Inf. Theory, 39 (1), pp. 36, 1993.

I. Daubechies and J.C. Lagarias, Twoscale difference equations. I. Existence and global regularity of solutions, SIAM J. Math. Anal., 22 (5), pp. 13881410, 1991.

I. Daubechies and J.C. Lagarias, Twoscale difference equations. II. Local regularity, infinite products of matrices, and fractals, SIAM J. Math. Anal., 23 (4), pp. 10311079, 1992.
 I. Daubechies, "Phase space path integrals, coherent states and Wiener measure," Proceedings of the 19871988 Workshop on Path Integrals, Columbia University (Montreal) and Sherbrooke University, Canada, Suppl. Rendiconti Cinc. Mat. di Palermo II, 25, pp. 157176, 1991.

I. Daubechies and J.C. Lagarias, Sets of matrices all infinite products of which converge, Lin. Alg. & Appl., 161, pp. 227263, 1992.
 I. Daubechies, "The wavelet transform: a method for timefrequency localization," chapter 8 (pp. 366417) in the book Advances in Spectrum Analysis and Array Processing, Vol. 1, ed. S. Haykin, PrenticeHall, 1991.
 I. Daubechies, S. Jaffard, and J.L. Journé, A simple Wilson orthonormal basis with exponential decay, SIAM J. Math. Anal., 22 (2), pp. 554572, 1991.

I. Daubechies, Orthonormal bases of compactly supported wavelets, II. Variations on a theme, SIAM J. Math. Anal., 24 (2), pp. 499519, 1993.

A. Cohen and I. Daubechies, Orthonormal bases of compactly supported wavelets, III. Better frequency localization, SIAM J. Math. Anal., 24 (2), pp. 520527, 1993.

M. Antonini, M. Barlaud, P. Mathieu, and I. Daubechies, Image coding using wavelet transform, IEEE Trans. Image Proc., 1 (2), pp. 205220, 1992.

A. Cohen, I. Daubechies, and J.C. Feauveau, Biorthogonal bases of compactly supported wavelets, Comm. Pure & Appl. Math., 45 (5), pp. 485560, 1992.

A. Cohen and I. Daubechies, Non separable bidimensional wavelet bases, Rev. Mat. Iberoamericana, 9, pp. 51137, 1993.

A. Cohen and I. Daubechies, A stability criterion for biorthogonal wavelet bases and their related subband coding scheme, Duke Math. J., 68, pp. 313335, 1992.

A. Cohen and I. Daubechies, On the instability of arbitrary biorthogonal wavelet packets, SIAM J. Math. Anal., 24 (5), pp. 13401354, 1993.
 I. Daubechies and J.R. Klauder, "Squeezed states and path integrals," in Proceedings of the 1991 Conference on Squeezed States, Atlanta, Georgia.
 I. Daubechies, "Ten Lectures on Wavelets," CBMSNSF Lecture Notes nr. 61, SIAM, 1992.

A. Cohen, I. Daubechies, B. Jawerth, and P. Vial, Multiresolution analysis, wavelets and fast algorithms on an interval, Comptes Rendus Acad. Sci. Paris, 316 (série 1), pp. 417421, 1993.

A. Cohen, I. Daubechies, and P. Vial, Wavelets on the interval and fast wavelet transforms, Appl. Comp. Harm. Anal., 1 (1), pp. 5481, 1993. Tables
 I. Daubechies, "Wavelets on the interval," pp. 95107 in Progress in Wavelet Analysis and Applications, eds. Y. Meyer and S. Roques, Editions Frontières, France, 1993.
 I. Daubechies, "Wavelets and signal analysis," paper presented at the 1992 symposium on "Frontiers of Science" organized by the National Academy of Sciences.
 I. Daubechies, "Wavelet transforms and orthonormal wavelet bases," pp. 133 in "Different perspectives on wavelets" AMS Short Course Lecture Note Series nr. 47, I. Daubechies (Ed.), AMS, 1993.
 I. Daubechies, "Two recent results on wavelets: wavelet bases for the interval, and biorthogonal wavelets diagonalizing the derivative operator," pp. 237257 in Topics in Theory and Applications of Wavelets, eds. L. Schumaker and G. Webb, Academic Press, 1993.
 I. Daubechies, "Wavelets making waves in Mathematics and Engineering," videotape of an MAA invited lecture at the January 1992 AMSMAA meeting in Baltimore, available in the AMSseries "Selected Lectures in Mathematics".

I. Daubechies and J.C. Lagarias, On the thermodynamic formalism for multifractal functions, pp. 213264 in The State of Matter, eds. M. Aizenman and H. Araki, dedicated to E.H. Lieb, World Scientific, 1994; also published in Rev. of Math. Phys., 6 (5a), pp. 10331070, 1994.

I. Daubechies and Y. Huang, How does truncation of the mask affect a refinable function?, Const. Approx., 11 (3) , pp. 365380, 1995.
 I. Daubechies, "Orthonormal bases of coherent states: the canonical case and the ax+bgroup," in the Proceedings of the International Symposium Coherent States: Past, Present, and Future, pp. 103117, eds. D.H. Feng, J.R. Klauder, and M.R. Strayer, World Scientific Publishing Co., 1994.
 I. Daubechies, "Ondelettes," book review in Nature, 262 (1993) pp. 15891591 of the books Wavelets and Operators and Wavelets: algorithms and applications, both authored by Y. Meyer.

I. Daubechies and Y. Huang, A decay theorem for refinable functions, Appl. Math. Lett., 7 (4), pp. 14, 1994.

A. Cohen and I. Daubechies, A new technique to estimate the regularity of refinable functions, Rev. Mat. Iberoamericana, 12, pp. 527591, 1996.
 I. Daubechies, "Wavelets and other phase space localization methods," in the Proceedings. of the International Congress of Mathematicians, Zürich, Switzerland, 1994, Birkhäuser Verlag, Basel Switzerland, 1995.

I. Daubechies, H. Landau, and Z. Landau, Gabor timefrequency lattices and the WexlerRaz identity, J. Fourier Anal. Appl., 1 (4), pp. 437478, 1994.
 I. Daubechies, "Better dual functions for Gabor timefrequency lattices," in the Proceedings of the International Conference Approximation Theory VIII, Volume 2: Wavelets and Multilevel Approximation, pp. 113116, eds. C. Chui and L. Schumaker, World Scientific Publishing Co., 1995.

I. Daubechies and S. Maes, A Nonlinear Squeezing of the Continuous Wavelet Transform Based on Auditory Nerve Models, in Wavelets in Medicine and Biology, pp. 527546, eds. A. Aldroubi and M. Unser, CRC Press, 1996.

A. Cohen, I. Daubechies, and G. Plonka, Regularity of refinable function vectors, J. Fourier Anal. Appl., 3, pp. 295324, 1997.
 I. Daubechies, "Using Fredholm determinants to estimate the smoothness of refinable functions," in the Proceedings of the International Conference Approximation Theory VIII, Volume 2: Wavelets and Multilevel Approximation, pp. 89112, eds. C. Chui and L. Schumaker, World Scientific Publishing Co., 1995.

A. Cohen, I. Daubechies, and A. Ron, How smooth is the smoothest function in a given refinable space?, Appl. Comp. Harm. Anal., 3 (1), pp. 8789, 1996.
 I. Daubechies and A. Gilbert, "Harmonic analysis, wavelets, and applications," lecture series presented at the Institute for Advanced Study's Park City Mathematics Institute July 1995, in the Graduate Summer School Lectures, American Mathematical Society, July 1998.
 I. Daubechies, "Where do wavelets come from?A personal point of view", in Proc. IEEE, Special Issue on Wavelets, 84 (4), pp. 510513, 1996.

M. Unser and I. Daubechies, On the approximation power of convolutionbased least squares versus interpolation, IEEE Trans. Sig. Proc., 45 (7), pp. 16971711, July 1997.

A.R. Calderbank, I. Daubechies, W. Sweldens, and B.L. Yeo, Wavelet transforms that map integers to integers, Appl. Comp. Harm. Anal., 5 (3), pp. 332369, 1998.

I. Daubechies and W. Sweldens, Factoring wavelet transforms into lifting steps, J. Fourier Anal. Appl., 4 (3), pp. 247269, 1998. Also as part of book entitled Wavelets in the Geosciences 90, R. Klees and R. Haagmans (Eds.), Springer Berlin / Heidelberg, 2000.

E. ChassandeMottin, I. Daubechies, F. Auger and P. Flandrin, Differential reassignment, IEEE Sig. Proc. Lett., 4 (10), pp. 293294, 1997.
 F. Auger, E. ChassandeMottin, I. Daubechies and P. Flandrin, "Partition du Plan TempsFréquence et réallocation" in the Proceedings of the Seizième Colloque Gretsi sur le Traitement du Signal et des Images, pp. 14471450, Grenoble (France), September 1997.

I. Daubechies, I. Guskov, and W. Sweldens, Regularity of irregular subdivision, Const. Approx., 15 (3), pp. 381426, 1999.

A. Cohen, I. Daubechies, O. Guleryuz and M. Orchard, On the importance of combining nonlinear approximation with coding strategies, IEEE Trans. Inf. Theory, 48 (7), pp. 18951921, 2002.
 A.R. Calderbank, I. Daubechies, W. Sweldens and B.L. Yeo, "Lossless image compression using integer to integer wavelet transforms," in Proc. Int. Conf. Image Proc., Santa Barbara, CA, Oct 1997, vol.1, pp. 596599, 1997.

I. Daubechies, Recent results in wavelet applications, J. Electronic Imaging, 7 (4), pp. 719724, 1998. Also as part of book entitled Wavelet Applications V, H. Szu (ed.), Proc. SPIE vol. 3391, pp. 29, 1998.

A. Cohen, W. Dahmen, I. Daubechies, and R. DeVore, Tree approximation and optimal encoding, Appl. Comp. Harm. Anal., 11 (2), pp. 192226, 2001.

D.L. Donoho, M. Vetterli, R.A. DeVore, I. Daubechies, Data compression and harmonic analysis, IEEE Trans. Inf. Theory, 44 (6), pp. 24352476, 1998.
 I. Daubechies, I. Guskov, P. Schröder, and W. Sweldens, Wavelets on Irregular Point Sets, Phil. Trans R. Soc. A, 357 (1760), pp. 23972413, 1999. Also as part of book entitled Wavelets: The Key to Intermittent Information?, B.W. Silverman and J.C. Vassilicos (Eds.), Oxford Univ. Press, USA, 2000.

R.V. Balan, I. Daubechies, and V. Vaishampayan, The Analysis and Design of Windowed Fourier Frame based Multiple Description Source Coding Schemes, IEEE Trans. Inf. Theory, 46 (7), pp. 24912536, 2000.
 Z. Cvetkovic, I. Daubechies, Singlebit oversampled A/D conversion with exponential accuracy in the bitrate, in Proc. Data Compression Conference (DCC) 2000, Snowbird, UT, Mar 2000, pp. 343352, 2000.
 A.R. Calderbank and I. Daubechies, The Pros and Cons of Democracy, IEEE Trans. Inf. Theory, 48 (6), pp.17211725, 2002.

I. Daubechies, I. Guskov and W. Sweldens, Commutation for Irregular Subdivision, Const. Approx., 17 (4), pp. 479  514, 2001.

I. Daubechies and R. DeVore, Approximating a bandlimited function using very coarsely quantized data: A family of stable sigmadelta modulators of arbitrary order, Annals of Math., 158 (2), pp.679710, 2003.
 I. Daubechies and B. Han, Pairs of Dual Wavelet Frames From Any Two Refinable Functions, Const. Approx., 20 (3), pp. 325352, 2004.

I. Daubechies and B. Han, The Canonical Dual Frame of a Wavelet Frame, Appl. Comp. Harm. Anal., 12 (3), pp. 269285, 2002.

A. Cohen, W. Dahmen, I. Daubechies and R. DeVore, Harmonic analysis of the space BV, Rev. Mat. Iberoamericana, 19, pp. 235262, 2003.

I. Daubechies, B. Han, A. Ron and Z. Shen, Framelets: MRABased constructions of Wavelet Frames, Appl. Comp. Harm. Anal., 14 (1), pp. 146, 2003.

I. Daubechies, O. Runborg and W. Sweldens, Normal Multiresolution Approximation of Curves, Const. Approx., 20 (3), pp. 399463, 2004.

R.V. Balan and I. Daubechies, Optimal Stochastic Encoding and Approximation Schemes Using WeylHeisenberg Sets, in Advances in Gabor Analysis, H.G. Feichtinger and T. Strohmer (Eds.), Birkhaeuser, Boston, pp. 259  320, 2003.
 I. Daubechies and F. Planchon, Adaptive Gabor Transforms, Appl. Comp. Harm. Anal., 13 (1), pp. 121, 2002.
 I. Daubechies, R. DeVore, C.S. Güntürk and V.A. Vaishampayan, "Beta Expansions: A New Approach to Digitally Correct A/D Conversion", in Proc. IEEE Int. Symp. Circuits and Systems (ISCAS) 2002, Phoenix, AZ, May 2002, vol.2, pp. II784  II787, 2002.
 I. Daubechies, R. DeVore, C.S. Güntürk and V.A. Vaishampayan, A/D Conversion with Imperfect Quantizers, IEEE Trans. Inf. Theory, 52 (3), pp. 874885, 2006.
 I. Daubechies, M. Defrise and C. De Mol, An iterative thresholding algorithm for linear inverse problems with a sparsity constraint, Comm. Pure Appl. Math, 57 (11), pp.14131457, 2004.
 Z. Cvetkovic, I. Daubechies and B. Logan, SingleBit Oversampled A/D Conversion with Exponential Accuracy in the BitRate, IEEE Trans. Inf. Theory, 53 , No. 11, 2007.
 C. Rudin, I. Daubechies and R. Schapire,
"On the Dynamics of Boosting," in Advances in Neural Information Processing Systems 16, S. Thrun, L. Saul, B. Schölkopf (Eds.), MIT Press, Cambridge, MA, 2004.
 C. Rudin, R. E. Schapire and I. Daubechies
"Boosting Based on a Smooth Margin," in Learning
Theory 3120, J. ShaweTaylor Y. Singer (Eds.), pp. 502517, Springer Berlin / Heidelberg, 2004.
 I. Daubechies and G. Teschke, Varitional image restoration by
means of wavelets: simultaneous decomposition, deblurring and denoising, Appl. Comp. Harm. Anal., 19 (1), pp. 116, 2005.
 C. Rudin, I. Daubechies and R. E. Schapire, The Dynamics of AdaBoost: Cyclic Behavior and Convergence of Margins, J. Machine Learning Research, 5 (Dec), pp. 15571595, 2004.
 C. Rudin, R. E. Schapire and I. Daubechies, Analysis of Boosting Algorithms using the Smooth Margin Function,, The Annals of Statistics, 35 (2007) pp. 27232768..
 I. Daubechies, K. Drakakis and T. Kovanova, A detailed study of the Attachment Strategies of New Autonomous Systems in the AS Connectivity Graph, Internet Mathematics, 2 (2), pp. 185246, 2005.
 J. Zou, A. Gilbert, M. Strauss and I. Daubechies, Theoretical and
Experimental Analysis of a Randomized Algorithm for Sparse Fourier Transform Analysis, , J. Comp. Physics, 211 (2), pp. 572595, 2006.
 S. Takerkart, M. Benharrosh, J. Haxby and I. Daubechies, Estimating spatially distributed patterns of brain activity in fMRI datasets by using ICA, , to appear in NeuroImage.
 E. Pierpaoli, S. Anthoine, K. Huffenberger and I. Daubechies, Reconstructing SunyaevZeldovich clusters in future CMB experiments, , Mon. Not. R. Astron. Soc. 359 (1), pp. 261271, May 2005.
 I. Daubechies, "Correction d'erreurs et compression", Mathématique et Pédagogie, No. 157, pp. 533, 2006.
 I. Daubechies and G. Teschke, Variational image restoration by means of wavelets: simultaneous decomposition, deblurring and denoising,
Applied and Computational Harmonic Analysis, 19(1), 116, 2005. Journal 19 (1) pp. 116, 2005.
 I. Daubechies and O. Yilmaz, Robust and practical analogtodigital conversion with exponential
precision,
IEEE Transactions on Information Theory 52 (8) pp. 35333545, 2006.
 I. Loris, G. Nolet, I. Daubechies and A. Dahlen,
Tomographic inversion using $1$norm regularization of wavelet coefficients, ,
Geophysical Journal International
170 (1), pp. 359370, May 2007.
 I. Daubechies, G. Teschke and L. Vese,
Iteratively solving linear inverse problems with general convex constraints,
Inverse Problems and Imaging, 1(1), 2946, 1 (1) pp.2946, 2007.
 I. Daubechies, O. Runborg and J. Zou,
A sparse spectral method for homogenization multiscale problems,
Multiscale Model. Sim. 6 (3) pp. 711740, 2007.
 I. Daubechies, E. Roussos, S. Takerkart, M. Benharrosh, C. Golden, K. D'Ardenne, W. Richter, J.D. Cohen and J. Haxby,
ICA Algorithms for fMRI do NOT select for independence, , PNAS, 106 (2009) pp. 1041510422.
 I. Daubechies, M. Fornasier and I. Loris,
Accelerated projected gradient method for linear inverse problems with sparsity constraints,
Journal of Fourier Analysis and Applications
14, pp. 764792, 2008.
 I. Daubechies, R. DeVore, M. Fornasier and S. Gunturk, Iteratively reweighted least squares minimization for sparse recovery,
Commun. Pure Appl. Math. 2009, to appear.
 C. Richard Johnson, Jr., E. Hendriks, I.J. Berezhnoy, E. Brevdo,
S. M. Hughes, I. Daubechies, J. Li, E. Postma, and J.Z. Wang, Image Processing for Artist Identification:
Computerized Analysis of Vincent van Gogh's Painting Brushstrokes,
Signal Processing Magazine 25 pp. 3748, 2008.
 I. Daubechies, C. Gunturk, Y. Wang and O. Yilmaz,
The golden ratio encoder, submitted.
 J. Brodie, I. Daubechies, C. De Mol, D. Giannone and I. Loris,
Sparse and stable Markowitz portfolios, PNAS, 106 (2009) pp. 1226712272.