Papers

2017

Inference for High-dimensional Nested Regression
Joint work with D. Gold and J. Tao
preprint
[arxiv] |
[software]
Keywords: instrumental variables, lasso, one-step correction, high- dimensional inference

Integrating Additional Knowledge Into Estimation of Graphical Models
Joint work with Y. Bu
preprint
[arxiv] |
[data and software]
Keywords: brain connectivity networks, reproducible graph estimation

Tuning Parameter Calibration in High-dimensional Logistic Regression With Theoretical Guarantees
Joint work with W. Li
preprint
[arxiv]
Keywords: tuning parameters, high-dimensional logistic regression

Efficient Feature Selection With Large and High-dimensional Data
Joint work with N. Lim
preprint
[arxiv] |
[software]
Keywords: convex optimization, Big Data

Graphical Models for Discrete and Continuous Data
preprint
[arxiv]
Keywords: graphical models

Oracle Inequalities for High-dimensional Prediction
Joint work with L. Yu and I. Gaynanova
preprint
[arxiv]
Keywords: high-dimensional prediction, correlations

Non-convex Global Minimization and False Discovery Rate Control for the TREX
Joint work with J. Bien, I. Gaynanova, and Ch. Müller
short version presented at ICML workshop, long version Comput. Graph. Statist. in press
[arxiv]
 | [software and data examples]
Keywords: non-convex optimization, feature selection, tuning parameters

Optimal two-step prediction in regression
Joint work with D. Chételat and J. Salmon
Electron. J. Stat. 11(1), pages 2519-2546
[arxiv] |
[software]
Keywords: tuning parameters, high-dimensional prediction, refitting

On the Prediction Performance of the Lasso
Joint work with A. Dalalyan and M. Hebiri
Bernoulli, 23(1), 2017, pages 552-581
[arxiv]
Keywords: high-dimensional prediction, correlations

2016

A practical scheme and fast algorithm to tune the Lasso with optimality guarantees
Joint work with M. Chichignoud and M. Wainwright
J. Mach. Learn. Res. 17, 2016
[arxiv]
Keywords: tuning parameters, high-dimensional statistics, oracle inequalities

Topology Adaptive Graph Estimation in High Dimensions
Joint work with Ch. Müller
Technical Report
[arxiv]
Keywords: high-dimensional networks, Gaussian graphical models

Trust, but verify: benefits and pitfalls of least-squares refitting in high dimensions
Technical Report
[arxiv]
Keywords: high-dimensional regression, refitting

2015

Compute Less to Get More: Using ORC to Improve Sparse Filtering
Joint work with S. Guadarrama
AAAI-15
[arxiv]
Keywords: computer vision, feature learning

Don’t fall for tuning parameters: Tuning-free variable selection in high dimensions with the TREX
Joint work with Ch. Müller
AAAI-15
[arxiv]
Keywords: tuning parameters, feature selection

2014

New Concentration Inequalities for Suprema of Empirical Processes
Joint work with S. van de Geer
Bernoulli 20(4), 2014, pages 2020-2038
[arxiv]

Keywords: empirical processes, concentration inequalities

A Robust, Adaptive M-estimator for Pointwise Estimation in Heteroscedastic Regression
Joint work with M. Chichignoud
Bernoulli 20(3), 2014, pages 1560-1599
[arxiv]

Keywords: pointwise estimation, robust regression, adaptive regression

The Group Square-Root Lasso: Theoretical Properties and Fast Algorithms
Joint work with F. Bunea and Y. She
IEEE Trans. Inform. Theory 60(2), 2014, pages 1313-1325
[arxiv]
 | [software]
Keywords: tuning parameters, oracle inequalities, convex optimization

2013

How Correlations Influence Lasso Prediction
Joint work with M. Hebiri
IEEE Trans. Inform. Theory 59(3), 2013, pages 1846-1854
[arxiv]

Keywords: high-dimensional prediction, correlations

The Lasso, correlated design, and improved oracle inequalities
Joint work with S. van de Geer
IMS Collections 9, 2013, pages 303-316
[arxiv]

Keywords: high-dimensional prediction, correlations

The Bernstein-Orlicz norm and deviation inequalities
Joint work with S. van de Geer
Probab. Theory Related Fields 157, Issue 1-2, 2013, pages 225-250
[arxiv]

Keywords: empirical processes, concentration inequalities

2012

Nonasymptotic Bounds for Empirical Processes and Regression
Under supervision of S. van de Geer and P. Bühlmann
PhD thesis
Keywords: empirical processes, high-dimensional regression, robust statistics

2010

Bounds for Rademacher Processes via Chaining
Technical report
[arxiv]

Keywords: empirical processes, chaining

2009

Production of Charged Vector Boson Pairs in Hadronic Collisions
Under supervision of C. Anastasiou
Master’s thesis
Keywords: particle physics, Higgs boson