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Nicolas Macris
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2020 – today
- 2024
- [i61]Rodrigo Veiga
, Anastasia Remizova, Nicolas Macris:
Stochastic Gradient Flow Dynamics of Test Risk and its Exact Solution for Weak Features. CoRR abs/2402.07626 (2024) - [i60]Farzad Pourkamali, Nicolas Macris:
Rectangular Rotational Invariant Estimator for High-Rank Matrix Estimation. CoRR abs/2403.04615 (2024) - [i59]Joon Lee, Nicolas Macris, Jean Bernoulli Ravelomanana, Perrine Vantalon:
The PRODSAT phase of random quantum satisfiability. CoRR abs/2404.18447 (2024) - 2023
- [j18]Raffaele Marino
, Nicolas Macris:
Solving Non-linear Kolmogorov Equations in Large Dimensions by Using Deep Learning: A Numerical Comparison of Discretization Schemes. J. Sci. Comput. 94(1): 8 (2023) - [c46]Farzad Pourkamali, Nicolas Macris:
Rectangular Rotational Invariant Estimator for General Additive Noise Matrices. ISIT 2023: 2081-2086 - [c45]Antoine Bodin, Nicolas Macris:
Gradient flow on extensive-rank positive semi-definite matrix denoising. ITW 2023: 365-370 - [c44]Farzad Pourkamali, Nicolas Macris:
Bayesian Extensive-Rank Matrix Factorization with Rotational Invariant Priors. NeurIPS 2023 - [i58]Antoine Bodin, Nicolas Macris:
Gradient flow on extensive-rank positive semi-definite matrix denoising. CoRR abs/2303.09474 (2023) - [i57]Farzad Pourkamali, Nicolas Macris:
Rectangular Rotational Invariant Estimator for General Additive Noise Matrices. CoRR abs/2304.12264 (2023) - [i56]Farzad Pourkamali, Jean Barbier, Nicolas Macris:
Matrix Inference in Growing Rank Regimes. CoRR abs/2306.01412 (2023) - [i55]Farzad Pourkamali, Nicolas Macris:
Bayesian Extensive-Rank Matrix Factorization with Rotational Invariant Priors. CoRR abs/2306.04592 (2023) - 2022
- [c43]Farzad Pourkamali, Nicolas Macris:
Mismatched Estimation of Non-Symmetric Rank-One Matrices Under Gaussian Noise. ISIT 2022: 1288-1293 - [i54]Antoine Bodin, Nicolas Macris:
Gradient flow in the gaussian covariate model: exact solution of learning curves and multiple descent structures. CoRR abs/2212.06757 (2022) - 2021
- [j17]Elias Riedel Gårding
, Nicolas Schwaller
, Chun Lam Chan, Su Yeon Chang
, Samuel Bosch, Frédéric Gessler, Willy Robert Laborde
, Javier Naya Hernandez, Xinyu Si, Marc-André Dupertuis, Nicolas Macris:
Bell Diagonal and Werner State Generation: Entanglement, Non-Locality, Steering and Discord on the IBM Quantum Computer. Entropy 23(7): 797 (2021) - [j16]Jean Barbier
, Chun Lam Chan
, Nicolas Macris
:
Adaptive Path Interpolation Method for Sparse Systems: Application to a Censored Block Model. IEEE Trans. Inf. Theory 67(4): 2093-2114 (2021) - [c42]Antoine Bodin, Nicolas Macris:
Rank-one matrix estimation: analytic time evolution of gradient descent dynamics. COLT 2021: 635-678 - [c41]Antoine Bodin, Nicolas Macris:
Model, sample, and epoch-wise descents: exact solution of gradient flow in the random feature model. NeurIPS 2021: 21605-21617 - [i53]Antoine Bodin, Nicolas Macris:
Rank-one matrix estimation: analytic time evolution of gradient descent dynamics. CoRR abs/2105.12257 (2021) - [i52]Farzad Pourkamali, Nicolas Macris:
Mismatched Estimation of rank-one symmetric matrices under Gaussian noise. CoRR abs/2107.08927 (2021) - [i51]Jean Barbier, Nicolas Macris:
Statistical limits of dictionary learning: random matrix theory and the spectral replica method. CoRR abs/2109.06610 (2021) - [i50]Antoine Bodin, Nicolas Macris:
Model, sample, and epoch-wise descents: exact solution of gradient flow in the random feature model. CoRR abs/2110.11805 (2021) - 2020
- [j15]Clément Luneau, Nicolas Macris
:
Tensor Estimation With Structured Priors. IEEE J. Sel. Areas Inf. Theory 1(3): 705-722 (2020) - [j14]Jean Barbier
, Nicolas Macris
, Mohamad Dia
, Florent Krzakala
:
Mutual Information and Optimality of Approximate Message-Passing in Random Linear Estimation. IEEE Trans. Inf. Theory 66(7): 4270-4303 (2020) - [c40]Clément Luneau, Nicolas Macris, Jean Barbier
:
High-dimensional rank-one nonsymmetric matrix decomposition: the spherical case. ISIT 2020: 2646-2651 - [c39]Jean Barbier, Nicolas Macris, Cynthia Rush:
All-or-nothing statistical and computational phase transitions in sparse spiked matrix estimation. NeurIPS 2020 - [c38]Clément Luneau, Jean Barbier, Nicolas Macris:
Information theoretic limits of learning a sparse rule. NeurIPS 2020 - [i49]Clément Luneau, Nicolas Macris, Jean Barbier:
High-dimensional rank-one nonsymmetric matrix decomposition: the spherical case. CoRR abs/2004.06975 (2020) - [i48]Jean Barbier
, Nicolas Macris, Cynthia Rush:
All-or-nothing statistical and computational phase transitions in sparse spiked matrix estimation. CoRR abs/2006.07971 (2020) - [i47]Clément Luneau, Jean Barbier
, Nicolas Macris:
Information theoretic limits of learning a sparse rule. CoRR abs/2006.11313 (2020) - [i46]Clément Luneau, Nicolas Macris:
Tensor estimation with structured priors. CoRR abs/2006.14989 (2020) - [i45]Nicolas Macris, Raffaele Marino
:
Solving non-linear Kolmogorov equations in large dimensions by using deep learning: a numerical comparison of discretization schemes. CoRR abs/2012.07747 (2020)
2010 – 2019
- 2019
- [j13]Rafah El-Khatib, Nicolas Macris
, Tom Richardson, Rüdiger L. Urbanke:
Displacement Convexity in Spatially Coupled Scalar Recursions. IEEE Trans. Inf. Theory 65(1): 604-621 (2019) - [j12]Jean Barbier
, Mohamad Dia
, Nicolas Macris
:
Universal Sparse Superposition Codes With Spatial Coupling and GAMP Decoding. IEEE Trans. Inf. Theory 65(9): 5618-5642 (2019) - [c37]Jean Barbier
, Chun Lam Chan, Nicolas Macris:
Mutual Information for the Stochastic Block Model by the Adaptive Interpolation Method. ISIT 2019: 405-409 - [c36]Jean Barbier
, Clément Luneau, Nicolas Macris:
Mutual Information for Low-Rank Even-Order Symmetric Tensor Factorization. ITW 2019: 1-5 - [i44]Jean Barbier, Nicolas Macris:
The adaptive interpolation method for proving replica formulas. Applications to the Curie-Weiss and Wigner spike models. CoRR abs/1901.06516 (2019) - [i43]Jean Barbier, Chun Lam Chan, Nicolas Macris:
Mutual Information for the Stochastic Block Model by the Adaptive Interpolation Method. CoRR abs/1902.07273 (2019) - [i42]Jean Barbier, Clément Luneau, Nicolas Macris:
Mutual Information for Low-Rank Even-Order Symmetric Tensor Factorization. CoRR abs/1904.04565 (2019) - [i41]Jean Barbier, Nicolas Macris:
0-1 phase transitions in sparse spiked matrix estimation. CoRR abs/1911.05030 (2019) - [i40]Elias Riedel Gårding, 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:
Bell Diagonal and Werner state generation: entanglement, non-locality, steering and discord on the IBM quantum computer. CoRR abs/1912.06105 (2019) - 2018
- [j11]Rafah El-Khatib, Nicolas Macris
:
The Velocity of the Propagating Wave for Spatially Coupled Systems With Applications to LDPC Codes. IEEE Trans. Inf. Theory 64(11): 7113-7131 (2018) - [c35]Jean Barbier, Florent Krzakala
, Nicolas Macris, Léo Miolane, Lenka Zdeborová:
Optimal Errors and Phase Transitions in High-Dimensional Generalized Linear Models. COLT 2018: 728-731 - [c34]Jean Barbier
, Nicolas Macris, Antoine Maillard
, Florent Krzakala
:
The Mutual Information in Random Linear Estimation Beyond i.i.d. Matrices. ISIT 2018: 1390-1394 - [c33]Jean Barbier
, Chun Lam Chan, Nicolas Macris:
Adaptive Path Interpolation for Sparse Systems: Application to a Simple Censored Block Model. ISIT 2018: 1879-1883 - [c32]Marylou Gabrié, Andre Manoel, Clément Luneau, Jean Barbier, Nicolas Macris, Florent Krzakala
, Lenka Zdeborová:
Entropy and mutual information in models of deep neural networks. NeurIPS 2018: 1826-1836 - [c31]Benjamin Aubin, Antoine Maillard, Jean Barbier, Florent Krzakala
, Nicolas Macris, Lenka Zdeborová:
The committee machine: Computational to statistical gaps in learning a two-layers neural network. NeurIPS 2018: 3227-3238 - [i39]Jean Barbier, Nicolas Macris, Antoine Maillard, Florent Krzakala:
The Mutual Information in Random Linear Estimation Beyond i.i.d. Matrices. CoRR abs/1802.08963 (2018) - [i38]Marylou Gabrié, Andre Manoel
, Clément Luneau, Jean Barbier, Nicolas Macris, Florent Krzakala, Lenka Zdeborová:
Entropy and mutual information in models of deep neural networks. CoRR abs/1805.09785 (2018) - [i37]Jean Barbier, Chun Lam Chan, Nicolas Macris:
Adaptive Path Interpolation for Sparse Systems: Application to a Simple Censored Block Model. CoRR abs/1806.05121 (2018) - [i36]Benjamin Aubin, Antoine Maillard, Jean Barbier, Florent Krzakala, Nicolas Macris, Lenka Zdeborová:
The committee machine: Computational to statistical gaps in learning a two-layers neural network. CoRR abs/1806.05451 (2018) - [i35]Jean Barbier, Mohamad Dia, Nicolas Macris, Florent Krzakala, Lenka Zdeborová:
Rank-one matrix estimation: analysis of algorithmic and information theoretic limits by the spatial coupling method. CoRR abs/1812.02537 (2018) - 2017
- [c30]Jean Barbier
, Nicolas Macris, Léo Miolane:
The layered structure of tensor estimation and its mutual information. Allerton 2017: 1056-1063 - [c29]Jean Barbier
, Nicolas Macris:
I-MMSE relations in random linear estimation and a sub-extensive interpolation method. ISIT 2017: 2108-2112 - [c28]Chun Lam Chan, Nicolas Macris:
Stability threshold and phase transition of generalized censored block models. ITW 2017: 384-388 - [i34]Rafah El-Khatib, Nicolas Macris:
The Velocity of the Propagating Wave for General Coupled Scalar Systems. CoRR abs/1701.03759 (2017) - [i33]Rafah El-Khatib, Nicolas Macris:
The Velocity of the Decoding Wave for Spatially Coupled Codes on BMS Channels. CoRR abs/1701.03764 (2017) - [i32]Rafah El-Khatib, Nicolas Macris, Tom Richardson, Rüdiger L. Urbanke:
Analysis of Coupled Scalar Systems by Displacement Convexity. CoRR abs/1701.03767 (2017) - [i31]Rafah El-Khatib, Nicolas Macris:
The Velocity of the Propagating Wave for Spatially Coupled Systems with Applications to LDPC Codes. CoRR abs/1701.04318 (2017) - [i30]Rafah El-Khatib, Nicolas Macris, Tom Richardson, Rüdiger L. Urbanke:
Displacement Convexity in Spatially Coupled Scalar Recursions. CoRR abs/1701.04651 (2017) - [i29]Jean Barbier, Nicolas Macris, Mohamad Dia, Florent Krzakala:
Mutual Information and Optimality of Approximate Message-Passing in Random Linear Estimation. CoRR abs/1701.05823 (2017) - [i28]Jean Barbier, Nicolas Macris:
I-MMSE relations in random linear estimation and a sub-extensive interpolation method. CoRR abs/1704.04158 (2017) - [i27]Jean Barbier, Nicolas Macris:
The stochastic interpolation method: A simple scheme to prove replica formulas in Bayesian inference. CoRR abs/1705.02780 (2017) - [i26]Jean Barbier, Mohamad Dia, Nicolas Macris:
Universal Sparse Superposition Codes with Spatial Coupling and GAMP Decoding. CoRR abs/1707.04203 (2017) - [i25]Jean Barbier, Florent Krzakala, Nicolas Macris, Léo Miolane, Lenka Zdeborová:
Phase Transitions, Optimal Errors and Optimality of Message-Passing in Generalized Linear Models. CoRR abs/1708.03395 (2017) - [i24]Jean Barbier
, Nicolas Macris, Léo Miolane:
The Layered Structure of Tensor Estimation and its Mutual Information. CoRR abs/1709.10368 (2017) - 2016
- [j10]Nicolas Macris
, Marc Vuffray
:
The Bethe Free Energy Allows to Compute the Conditional Entropy of Graphical Code Instances: A Proof From the Polymer Expansion. IEEE Trans. Inf. Theory 62(7): 4003-4023 (2016) - [j9]Andrei Giurgiu, Nicolas Macris, Rüdiger L. Urbanke:
Spatial Coupling as a Proof Technique and Three Applications. IEEE Trans. Inf. Theory 62(10): 5281-5295 (2016) - [c27]Jean Barbier
, Mohamad Dia
, Nicolas Macris, Florent Krzakala
:
The mutual information in random linear estimation. Allerton 2016: 625-632 - [c26]Jean Barbier
, Mohamad Dia
, Nicolas Macris:
Proof of threshold saturation for spatially coupled sparse superposition codes. ISIT 2016: 1173-1177 - [c25]Rafah El-Khatib, Nicolas Macris:
The velocity of the decoding wave for spatially coupled codes on BMS channels. ISIT 2016: 2119-2123 - [c24]Jean Barbier
, Mohamad Dia
, Nicolas Macris:
Threshold saturation of spatially coupled sparse superposition codes for all memoryless channels. ITW 2016: 76-80 - [c23]Rafah El-Khatib, Nicolas Macris:
The velocity of the propagating wave for general coupled scalar systems. ITW 2016: 246-250 - [c22]Jean Barbier, Mohamad Dia, Nicolas Macris, Florent Krzakala
, Thibault Lesieur, Lenka Zdeborová:
Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula. NIPS 2016: 424-432 - [c21]Dimitris Achlioptas, Seyed Hamed Hassani, Nicolas Macris, Rüdiger L. Urbanke:
Bounds for Random Constraint Satisfaction Problems via Spatial Coupling. SODA 2016: 469-479 - [i23]Jean Barbier, Mohamad Dia, Nicolas Macris:
Proof of Threshold Saturation for Spatially Coupled Sparse Superposition Codes. CoRR abs/1603.01817 (2016) - [i22]Jean Barbier, Mohamad Dia, Nicolas Macris:
Threshold Saturation of Spatially Coupled Sparse Superposition Codes for All Memoryless Channels. CoRR abs/1603.04591 (2016) - [i21]Jean Barbier
, Mohamad Dia, Nicolas Macris, Florent Krzakala, Thibault Lesieur, Lenka Zdeborová:
Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula. CoRR abs/1606.04142 (2016) - [i20]Jean Barbier, Mohamad Dia, Nicolas Macris, Florent Krzakala:
The Mutual Information in Random Linear Estimation. CoRR abs/1607.02335 (2016) - 2015
- [j8]Vahid Aref, Nicolas Macris, Marc Vuffray
:
Approaching the Rate-Distortion Limit With Spatial Coupling, Belief Propagation, and Decimation. IEEE Trans. Inf. Theory 61(7): 3954-3979 (2015) - 2014
- [j7]Santhosh Kumar, Andrew J. Young, Nicolas Macris, Henry D. Pfister
:
Threshold Saturation for Spatially Coupled LDPC and LDGM Codes on BMS Channels. IEEE Trans. Inf. Theory 60(12): 7389-7415 (2014) - [c20]Rafah El-Khatib, Nicolas Macris, Tom Richardson, Rüdiger L. Urbanke:
Analysis of coupled scalar systems by displacement convexity. ISIT 2014: 2321-2325 - 2013
- [c19]Vahid Aref, Nicolas Macris, Marc Vuffray:
Approaching the rate-distortion limit by spatial coupling with belief propagation and decimation. ISIT 2013: 1177-1181 - [c18]Andrei Giurgiu, Nicolas Macris, Rüdiger L. Urbanke:
And now to something completely different: Spatial coupling as a proof technique. ISIT 2013: 2443-2447 - [c17]Seyed Hamed Hassani, Nicolas Macris, Rüdiger L. Urbanke:
The space of solutions of coupled XORSAT formulae. ISIT 2013: 2453-2457 - [c16]Rafah El-Khatib, Nicolas Macris, Rüdiger L. Urbanke:
Displacement convexity - A useful framework for the study of spatially coupled codes. ITW 2013: 1-5 - [i19]Andrei Giurgiu, Nicolas Macris, Rüdiger L. Urbanke:
Spatial Coupling as a Proof Technique. CoRR abs/1301.5676 (2013) - [i18]Santhosh Kumar, Andrew J. Young, Nicolas Macris, Henry D. Pfister:
A Proof of Threshold Saturation for Spatially-Coupled LDPC Codes on BMS Channels. CoRR abs/1301.6111 (2013) - [i17]Seyed Hamed Hassani, Nicolas Macris, Rüdiger L. Urbanke:
The Space of Solutions of Coupled XORSAT Formulae. CoRR abs/1303.0540 (2013) - [i16]Rafah El-Khatib, Nicolas Macris, Rüdiger L. Urbanke:
Displacement Convexity, A Useful Framework for the Study of Spatially Coupled Codes. CoRR abs/1304.6026 (2013) - [i15]Vahid Aref, Nicolas Macris, Marc Vuffray:
Approaching the Rate-Distortion Limit with Spatial Coupling, Belief propagation and Decimation. CoRR abs/1307.5210 (2013) - [i14]Santhosh Kumar, Andrew J. Young, Nicolas Macris, Henry D. Pfister:
Threshold Saturation for Spatially-Coupled LDPC and LDGM Codes on BMS Channels. CoRR abs/1309.7543 (2013) - [i13]Nicolas Macris, Marc Vuffray:
The Bethe Free Energy Allows to Compute the Conditional Entropy of Graphical Code Instances. A Proof from the Polymer Expansion. CoRR abs/1310.1294 (2013) - 2012
- [c15]Santhosh Kumar, Andrew J. Young, Nicolas Macris, Henry D. Pfister
:
A proof of threshold saturation for spatially-coupled LDPC codes on BMS channels. Allerton Conference 2012: 176-184 - [c14]Vahid Aref, Nicolas Macris, Rüdiger L. Urbanke, Marc Vuffray
:
Lossy source coding via spatially coupled LDGM ensembles. ISIT 2012: 373-377 - [c13]Andrei Giurgiu, Nicolas Macris, Rüdiger L. Urbanke:
How to prove the Maxwell conjecture via spatial coupling - A proof of concept. ISIT 2012: 458-462 - [c12]Nicolas Macris, Marc Vuffray
:
Beyond the Bethe free energy of LDPC codes via polymer expansions. ISIT 2012: 2331-2335 - [i12]Nicolas Macris, Marc Vuffray:
Beyond the Bethe Free Energy of LDPC Codes via Polymer Expansions. CoRR abs/1202.2774 (2012) - [i11]Nicolas Macris, Marc Vuffray:
Polymer Expansions for Cycle LDPC Codes. CoRR abs/1202.2778 (2012) - [i10]Vahid Aref, Nicolas Macris, Rüdiger L. Urbanke, Marc Vuffray:
Lossy Source Coding via Spatially Coupled LDGM Ensembles. CoRR abs/1202.4959 (2012) - 2011
- [j6]Shrinivas Kudekar, Nicolas Macris:
Decay of Correlations for Sparse Graph Error Correcting Codes. SIAM J. Discret. Math. 25(2): 956-988 (2011) - [c11]Seyed Hamed Hassani, Nicolas Macris, Ryuhei Mori
:
Near concavity of the growth rate for coupled LDPC chains. ISIT 2011: 356-360 - [i9]Seyed Hamed Hassani, Nicolas Macris, Ryuhei Mori:
Near concavity of the growth rate for coupled LDPC chains. CoRR abs/1104.0599 (2011) - [i8]Seyed Hamed Hassani, Nicolas Macris, Rüdiger L. Urbanke:
Coupled Graphical Models and Their Thresholds. CoRR abs/1105.0785 (2011) - [i7]Seyed Hamed Hassani, Nicolas Macris, Rüdiger L. Urbanke:
Chains of Mean Field Models. CoRR abs/1105.0807 (2011) - [i6]Seyed Hamed Hassani, Nicolas Macris, Rüdiger L. Urbanke:
Threshold Saturation in Spatially Coupled Constraint Satisfaction Problems. CoRR abs/1112.6320 (2011) - 2010
- [j5]Satish Babu Korada, Nicolas Macris:
Tight Bounds on the Capacity of Binary Input Random CDMA Systems. IEEE Trans. Inf. Theory 56(11): 5590-5613 (2010) - [c10]S. Hamed Hassani, Nicolas Macris, Rüdiger L. Urbanke:
Coupled graphical models and their thresholds. ITW 2010: 1-5
2000 – 2009
- 2009
- [j4]Shrinivas Kudekar, Nicolas Macris:
Sharp bounds for optimal decoding of low-density parity-check codes. IEEE Trans. Inf. Theory 55(10): 4635-4650 (2009) - [c9]Shrinivas Kudekar, Nicolas Macris:
Decay of correlations in low density parity check codes: Low noise regime. ISIT 2009: 2654-2658 - [i5]Shrinivas Kudekar, Nicolas Macris:
Decay of Correlations in Low Density Parity Check Codes: Low Noise Regime. CoRR abs/0901.3630 (2009) - [i4]Shrinivas Kudekar, Nicolas Macris:
Decay of Correlations for Sparse Graph Error Correcting Codes. CoRR abs/0903.1842 (2009) - 2008
- [c8]Satish Babu Korada, Shrinivas Kudekar, Nicolas Macris:
Concentration of magnetization for linear block codes. ISIT 2008: 1433-1437 - [c7]Shrinivas Kudekar, Nicolas Macris:
Proof of replica formulas in the high noise regime for communication using LDGM codes. ITW 2008: 416-420 - [i3]Satish Babu Korada, Nicolas Macris:
Tight Bounds on the Capacity of Binary Input random CDMA Systems. CoRR abs/0803.1454 (2008) - [i2]Shrinivas Kudekar, Nicolas Macris:
Sharp Bounds for Optimal Decoding of Low Density Parity Check Codes. CoRR abs/0807.3065 (2008) - 2007
- [j3]Nicolas Macris:
Griffith-Kelly-Sherman Correlation Inequalities: A Useful Tool in the Theory of Error Correcting Codes. IEEE Trans. Inf. Theory 53(2): 664-683 (2007) - [j2]Nicolas Macris:
Sharp Bounds on Generalized EXIT Functions. IEEE Trans. Inf. Theory 53(7): 2365-2375 (2007) - [c6]Satish Babu Korada, Shrinivas Kudekar, Nicolas Macris:
Exact solution for the conditional entropy of Poissonian LDPC codes over the Binary Erasure Channel. ISIT 2007: 1016-1020 - [c5]Satish Babu Korada, Nicolas Macris:
On the concentration of the capacity for a code division multiple access system. ISIT 2007: 2801-2805 - 2006
- [c4]Shrinivas Kudekar, Nicolas Macris:
Sharp Bounds for MAP Decoding of General Irregular LDPC Codes. ISIT 2006: 2259-2263 - [c3]Satish Babu Korada, Nicolas Macris:
Exact solution of a p-spin model and its relationship to error correcting codes. ISIT 2006: 2264-2268 - [c2]Nicolas Macris:
On the relation between MAP and BP GEXIT functions of low density parity check codes. ITW 2006: 312-316 - 2005
- [c1]Nicolas Macris:
Correlation inequalities: a useful tool in the theory of LDPC codes. ISIT 2005: 2369-2373 - [i1]Nicolas Macris:
Applications of correlation inequalities to low density graphical codes. CoRR abs/cs/0509098 (2005)
1990 – 1999
- 1996
- [j1]Nicolas Macris, J. V. Pulé:
An alternative formula for the number of Euler trails for a class of digraphs. Discret. Math. 154(1-3): 301-305 (1996)
Coauthor Index
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