BiographyNicolas Macris received the PhD degree in theoretical physics from EPFL and then pursued his scientific activity at the mathematics department of Rutgers University (NJ, USA). He then joined the Faculty of Basic Science of EPFL, working in the field of quantum statistical mechanics and mathematical aspects of the quantum Hall effect. Since 2005 he is with the Communication Theories Laboratory and Information Processing group of the School of Communication and Computer Science and currently works at the interface of statistical mechanics, information theory and error correcting codes, inference and learning theory. He held long-term visiting appointments and collaborations with the University College and the Institute of Advanced studies in Dublin, the Ecole Normale Supérieure de Lyon, the Centre de Physique Theorique Luminy Marseille, Paris XI Orsay, the ETH Zürich and more recently Los Alamos National Lab.
CV and publication list.
|A. Bodin, N. Macris
Proceedings of Machine Learning Research (2021) 34th Conference on Learning Theory COLT; Boulder
|Rank-one matrix estimation: analytic time evolution of gradient descent dynamics|
|J. Barbier, F. Krzakala, N. Macris, L. Miolane, L. Zdeborová
Proceedings of the National Academy of Science (PNAS) vol 116 (12) pp. 5451-5460 (2019)
|Optimal errors and phase transitions in high-dimensional generalized linear models|
|J. Barbier, N. Macris
Journal of Physics A: Mathematical and General (2019); Special issue in honour of G. Parisi’s 70th birthday, Disordered serendipity: a glassy path to discovery
|The adaptive interpolation method for proving replica formulas. Applications to the Curie-Weiss and Wigner spike models|
|A. Giurgiu, N. Macris and R. Urbanke
IEEE Transactions on Information Theory vol 62, no 10, pp. 5281-5295 (2016)
|Spatial Coupling as a Proof Technique and Three Applications|
|S. Kumar, A. J. Young, N. Macris, H. D. Pfister
IEEE Transactions on Information Theory vol 60, no 12, pp. 7389-7415 (2014)
|Threshold saturation for spatially-coupled LDPC and LDGM codes on BMS channels|
IEEETransactions on Information Theory, vol 53 pp. 664-683 (2007)
|Griffiths-Kelly-Sherman correlation inequalities:A useful tool in the theory of error correcting codes|
|T. C. Dorlas, N. Macris and J. V. Pulé
Communications in Mathematical Physics, vol 204 pp. 367-396 (1999)
|Characterization of the spectrum of the Landau Hamiltonian with delta impurities|
|N. Macris, P. A. Martin and J. V. Pulé
Journal of Physics A: Mathematical General, vol 32 pp. 1985-1996 (1999)
|On edge states in semi-infinite quantum Hall systems|
Brief descriptionMy recent research has focused on error correction and graphical models, as well as inference and learning theory. The problems involved have deep relations, both in terms of concepts and methods, with the statistical mechanics of disordered systems and in particular spin and structural glasses on sparse or dense graphs. The emphasis is on rigorous results and methods, and these subjects are investigated using a mix of methods from mathematical and statistical physics, probability, functional analysis and discrete mathematics.
I am also interested in various aspects of quantum information theory.
In the past I have also worked in the field of mathematical physics on quantum Coulomb systems, quantum statistical mechanical models related to condensed matter physics, random magnetic Schroedinger operators, and mathematical aspects of the quantum Hall effect.
This research is supported by grants of the Swiss National Foundation for Science.
Selected publications organized by themes are found below.
Inference and learning theoryRank-one matrix estimation: analytic time evolution of gradient descent dynamics; to appear in Proceedings of Machine Learning Research 2021, 34th Conference on Learning Theory COLT; A. Bodin, N. Macris
Tensor estimation with structured priors; IEEE Journal on Selected Areas in Information Theory, vol 1, Issue 3, pp. 705 - 722 (2020); C. Luneau, N. Macris
Optimal errors and phase transitions in high-dimensional generalized linear models; Proceedings of the National Academy of Science (PNAS) vol 116 (12) pp. 5451-5460 (2019); J. Barbier, F. Krzakala, N. Macris, L. Miolane, L. Zdeborová
The adaptive interpolation method for proving replica formulas. Applications to the Curie-Weiss and Wigner spike models; Journal of Physics A: Mathematical and General (2019); Special issue in honour of G. Parisi’s 70th birthday, Disordered serendipity: a glassy path to discovery; J. Barbier, N.Macris
The layered structure of tensor estimation and its mutual information, 55th Annual Allerton Conference on Communication, Control, and Computing Allerton (2017); J. Barbier, N. Macris, L. Miolane
Graphical models and error correctionDisplacement convexity in spatially coupled scalar recursions, IEEE Transactions on InformationTheory, vol 65, no 1, pp. 604-621 (2019) pp. 1-33; R. El-Khatib, N. Macris, T. Richardson, R. Urbanke
Spatial coupling as a proof technique and three applications, IEEE Transactions on Information Theory vol 62, no 10, pp. 5281-5295 (2016); A. Giurgiu, N. Macris and R. Urbanke
Threshold saturation for spatially-coupled LDPC and LDGM codes on BMS channels, IEEE Transactions on Information Theory vol 60, no 12, pp. 7389-7415 (2014); arXiv:1309.7543; S. Kumar, A. J. Young, N. Macris, H. D. Pfister
Bounds for random constraint satisfaction problems via spatial coupling, in Proceedings 27th ACM SIAM Symposium on Discrete Algorithms (SODA) 2016, pp 469-479; D. Achlioptas, H. Hassani, N. Macris and R. Urbanke [long version is here]
Griffiths-Kelly-Sherman correlation inequalities: A useful tool in the theory of error correcting codes, IEEE Transactions on Information Theory, vol 53 pp. 664-683 (2007); N. Macris
Quantum informationBell Diagonal and Werner State Generation: Entanglement, Non-Locality, Steering and Discord on the IBM Quantum Computer; Entropy 2021, 23(7), 797; Elias Riedel Garding, Nicolas Schwaller, Su Yeon Chang, Samuel Bosch, Willy Robert Laborde, Javier Naya Hernandez, Chun Lam Chan, Frédéric Gessler, Xinyu Si, Marc-André Dupertuis, Nicolas Macris (IBM Q second prize best paper award 2019)Efficient Quantum Algorithms for GHZ and W States, and Implementation on the IBM Quantum Computer ; Advanced Quantum Technologies 2 (5-6) (2019); Diogo Cruz, Romain Fournier, Fabien Gremion, Alix Jean- nerot, Kenichi Komagata, Tara Tosic, Jarla Thiesbrummel, Chun Lam Chan, Nicolas Macris, Marc-André Dupertuis, Clément Javerzac-Galy (IBM Q second prize best paper award 2018)
Magnetic Schroedinger operators and quantum Hall eSpectral flow and level spacing of edge states for quantum Hallhamiltonians, Journal of Physics A: Mathematical and General, vol 36 pp. 1565-1581 (2003); N. Macris
On the equality of edge and bulk conductance in the integer Hall effect: a microscopic analysis, N. Macris (2002)
On edge states in semi-infinite quantum Hall systems, Journal of Physics A: Mathematical and General,vol 32 pp. 1985-1996 (1999); N. Macris, P. A. Martin and J. V. Pulé
Characterization of the spectrum of the Landau hamiltonian with delta impurities, Communications in Mathematical Physics, vol 204 pp. 367-396 (1999); T. C. Dorlas, N. Macris and J. V. Pulé
The nature of the spectrum for a Landau hamiltonian with delta impurities, Journal of Statistical Physics, vol 87 pp. 847-875 (1997); T. C. Dorlas, N. Macris and J. V. Pulé
Quantum statistical mechanicsOn kink states of ferromagnetic chains, Physica A, vol 279 pp. 386-397 (2000) special issue in honor of Joel Lebowitz; Ky-Thuan Bach and N. Macris
Phase separation and the segregation principle in the infinite-U spinless Falicov-Kimball model, Physical Review B, vol 60 pp. 1617-1626 (1999); J. K. Freericks, C. Gruber and N. Macris
On the flux phase conjecture at half filling: an improved proof, Journal of Statistical Physics, vol 85 pp. 745-761 (1996); N. Macris and B. Nachtergaele
Ground states and low temperature phases of itinerant electrons interacting with classical fields: a review of rigorous results, Journal of Mathematical Physics, vol 38 pp. 2084-2103 (1997) special issue on condensed matter physics; J. L. Lebowitz and N. Macris
The Falicov-Kimball model: a review of exact results and extensions, Helvetica Physica Acta, vol 69 pp. 850-907 (1996) special issue in honor of K. Hepp and W. Hunziker; C. Gruber and N. Macris
Teaching & PhD
PhD StudentsBodin Antoine Philippe Michel, Pourkamali Farzad, Remizova Anastasia,
Past EPFL PhD StudentsChan Chun Lam , Dia Mohamad Baker , El-Khatib Rafah , Ferrari Christian , Giurgiu Andrei , Hassani Seyed Hamed , Korada Satish Babu , Kudekar Shrinivas , Luneau Clément Dominique , Vuffray Marc ,
Lecture notesN-body methods in condensed matter, Lecture notes of the troisième cycle de la physique en Suisse Romande, 160 pp, first version (2002), second revised version (2009), D. Baeriswyl and N. Macris, https://physique.cuso.ch/cours/archives/notes-de-cours-2008
Statistical Physics for Communications, Signal Processing, and Computer Science, 364 pp, Lecture notes in progress, doctoral class (2017 edition) N. Macris and R. Urbanke