On the best conditioned bases of quadratic polynomials. - Simon Foucart (J. Approx. Theory, 2004)

Interlacing property for B-splines. - Simon Foucart (J. Approx. Theory, 2005)

On the value of the max-norm of the orthogonal projector onto splines with multiple knots. - Simon Foucart (J. Approx. Theory, 2006)

Allometry constants of finite-dimensional spaces: theory and computations. - Simon Foucart (Numerische Mathematik, 2009)

The Gelfand widths of ℓp-balls for 0<p≤1 - Simon Foucart; Alain Pajor; Holger Rauhut; Tino Ullrich (CoRR, 2010)

The Gelfand widths of lp-balls for 0p<=1. - Simon Foucart; Alain Pajor; Holger Rauhut; Tino Ullrich (J. Complex., 2010)

Hard Thresholding Pursuit: An Algorithm for Compressive Sensing. - Simon Foucart (SIAM J. Numer. Anal., 2011)

A Mathematical Introduction to Compressive Sensing. - Simon Foucart; Holger Rauhut (Birkhäuser, 2013)

Quikr: a method for rapid reconstruction of bacterial communities via compressive sensing. - David Koslicki; Simon Foucart; Gail Rosen (Bioinform., 2013)

Sparse Recovery by Means of Nonnegative Least Squares. - Simon Foucart; David Koslicki (IEEE Signal Process. Lett., 2014)

One-Bit Compressive Sensing of Dictionary-Sparse Signals. - Richard G. Baraniuk; Simon Foucart; Deanna Needell; Yaniv Plan; Mary Wootters (CoRR, 2016)

An IHT Algorithm for Sparse Recovery From Subexponential Measurements. - Simon Foucart; Guillaume Lecué (IEEE Signal Process. Lett., 2017)

Exponential Decay of Reconstruction Error From Binary Measurements of Sparse Signals. - Richard G. Baraniuk; Simon Foucart; Deanna Needell; Yaniv Plan; Mary Wootters (IEEE Trans. Inf. Theory, 2017)

Determining projection constants of univariate polynomial spaces. - Simon Foucart; Jean B. Lasserre (J. Approx. Theory, 2018)

Concave Mirsky Inequality and Low-Rank Recovery. - Simon Foucart (SIAM J. Matrix Anal. Appl., 2018)

One-Bit Sensing of Low-Rank and Bisparse Matrices. - Simon Foucart; Laurent Jacques (CoRR, 2019)

Nonlinear Approximation and (Deep) ReLU Networks. - Ingrid Daubechies; Ronald A. DeVore; Simon Foucart; Boris Hanin; Guergana Petrova (CoRR, 2019)

Finer Metagenomic Reconstruction via Biodiversity Optimization. - Simon Foucart; David Koslicki (NeurIPS, 2020)

Learning from Non-IID Data in Hilbert Spaces: An Optimal Recovery Perspective. - Simon Foucart; Chunyang Liao; Shahin Shahrampour; Yinsong Wang (CoRR, 2020)

Sampling schemes and recovery algorithms for functions of few coordinate variables. - Simon Foucart (J. Complex., 2020)

Approximability models and optimal system identification. - Mahmood Ettehad; Simon Foucart (Math. Control. Signals Syst., 2020)

Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, but what of the Parameter? - Simon Foucart; Chunyang Liao (CoRR, 2021)

Instances of computational optimal recovery: Refined approximability models. - Simon Foucart (J. Complex., 2021)

Instances of Computational Optimal Recovery: Dealing with Observation Errors. - Mahmood Ettehad; Simon Foucart (SIAM/ASA J. Uncertain. Quantification, 2021)

Facilitating OWL norm minimizations. - Simon Foucart (Optim. Lett., 2021)

Weighted Matrix Completion From Non-Random, Non-Uniform Sampling Patterns. - Simon Foucart; Deanna Needell; Reese Pathak; Yaniv Plan; Mary Wootters (IEEE Trans. Inf. Theory, 2021)

The Sparsity of LASSO-type Minimizers. - Simon Foucart (CoRR, 2022)

On the Optimal Recovery of Graph Signals. - Simon Foucart; Chunyang Liao; Nate Veldt (CoRR, 2023)

S-Procedure Relaxation: a Case of Exactness Involving Chebyshev Centers. - Simon Foucart; Chunyang Liao (CoRR, 2023)

Linearly Embedding Sparse Vectors from 𝓁2 to 𝓁1 via Deterministic Dimension-Reducing Maps. - Simon Foucart (CoRR, 2023)

Full recovery from point values: an optimal algorithm for Chebyshev approximability prior. - Simon Foucart (Adv. Comput. Math., 2023)

Worst-Case Learning under a Multi-fidelity Model. - Simon Foucart; Nicolas Hengartner (CoRR, 2024)

Radius of information for two intersected centered hyperellipsoids and implications in optimal recovery from inaccurate data. - Simon Foucart; Chunyang Liao (J. Complex., 2024)

Optimization-aided construction of multivariate Chebyshev polynomials. - Mareike Dressler; Simon Foucart; Mioara Joldes; Etienne de Klerk; Jean B. Lasserre; Yuan Xu (J. Approx. Theory, 2025)

Worst-Case Learning under a Multifidelity Model. - Simon Foucart; Nicolas Hengartner (SIAM/ASA J. Uncertain. Quantification, 2025)