Alain Pajor

Applied Mathematics · 2004–2010

A researcher in the Science corpus: 9 papers; trusts 22 researchers and is trusted by 42 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 27 citations into it; #462 of 7,620 by trust here, #234 by citations
• Statistics and Probability — 19 citations into it; #1,541 of 12,932 by trust here, #1,211 by citations
• Computational Mechanics — 17 citations into it; #1,971 of 10,001 by trust here, #1,582 by citations
• Statistical Learning Theory — 10 citations into it
• Computer Vision and Pattern Recognition — 9 citations into it
• Mathematical Physics — 9 citations into it; #4,012 of 8,562 by trust here, #3,664 by citations
• Finance — 8 citations into it
• Molecular Biology — 7 citations into it

Whom Alain Pajor trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Michel Ledoux
2. E.J. Candes
3. Bo'az Klartag
4. Thomas Mikosch
5. Terence Tao
6. Apostolos Giannopoulos
7. Grigoris Paouris
8. David L. Donoho
9. Michel Talagrand
10. Shahar Mendelson

Who trusts Alain Pajor overall

1. Radosław Adamczak
2. Roman Vershynin
3. Konstantin E. Tikhomirov
4. Mark Rudelson
5. Shahar Mendelson
6. Terence Tao
7. Vladimir Koltchinskii
8. Shuheng Zhou
9. Martin J. Wainwright
10. Nicholas A. Cook

Papers from Alain Pajor's perspective

Ordered by how strongly the researchers Alain Pajor trusts endorse each paper. Same corpus, a different order for every researcher.

1. Decoding by linear programming
2. Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
3. The concentration of measure phenomenon
4. Atomic Decomposition by Basis Pursuit
5. Concentration of mass on convex bodies
6. A central limit theorem for convex sets
7. Compressed sensing and best k-term approximation
8. Weak Convergence and Empirical Processes: With Applications to Statistics
9. An Elementary Introduction to Modern Convex Geometry
10. Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles

Their papers

• Smallest singular value of random matrices and geometry of random polytopes (2005) — 297 citations
• Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles (2009) — 238 citations
• On singular values of matrices with independent rows (2006) — 57 citations
• On the limiting empirical measure of eigenvalues of the sum of rank one matrices with log-concave distribution (2009) — 73 citations
• Sharp bounds on the rate of convergence of the empirical covariance matrix (2010) — 86 citations
• Restricted Isometry Property of Matrices with Independent Columns and Neighborly Polytopes by Random Sampling (2009) — 152 citations
• Reconstruction and Subgaussian Operators in Asymptotic Geometric Analysis (2007) — 233 citations
• Uniform Uncertainty Principle for Bernoulli and Subgaussian Ensembles (2006) — 331 citations
• John's Decomposition in the General Case and Applications (2004) — 71 citations