Melanie Weber
Melanie Weber
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Structured Regularization for SPD Optimization with Side Information
Matrix-valued optimization tasks, including those involving symmetric positive definite (SPD) matrices, arise in a wide range of …
A. Cheng
,
M. Weber
PDF
Project
Graph Pooling via Ricci Flow
Graph Machine Learning often involves the clustering of nodes based on similarity structure encoded in the graph’s topology and …
A. Feng
,
M. Weber
PDF
Project
Controlling Unknown Linear Dynamics with Bounded Multiplicative Regret
We consider a simple control problem in which the underlying dynamics depend on a parameter that is unknown and must be learned. We …
J. Carruth
,
M. F. Eggl
,
C. Fefferman
,
C. W. Rowley
,
M. Weber
Preprint
PDF
Project
Riemannian Optimization via Frank-Wolfe Methods
We study projection-free methods for constrained Riemannian optimization. We propose a Riemannian Frank-Wolfe (RFW) method that handles …
M. Weber
,
S. Sra
PDF
Code
Project
Video
Projection-free nonconvex stochastic optimization on Riemannian manifolds
We study stochastic projection-free methods for constrained optimization of smooth functions on Riemannian manifolds, i.e., with …
M. Weber
,
S. Sra
Preprint
PDF
Project
Optimal control with learning on the fly
We exhibit optimal control strategies for a simple toy problem in which the underlying dynamics depend on a parameter that is initially …
C. Fefferman
,
B. Guillen Pegueroles
,
C. W. Rowley
,
M. Weber
Preprint
PDF
Project
Exploration of the sputum methylome and omics deconvolution by quadratic programming in molecular profiling of asthma and COPD: the road to sputum omics 2.0
To date, most studies involving high-throughput analyses of sputum in asthma and COPD have focused on identifying transcriptomic …
E. E. Groth
,
M. Weber
,
T. Bahmer
,
F. Pedersen
,
A. Kirsten
,
D. Börnigen
,
K. F. Rabe
,
H. Watz
,
O. Ammerpohl
,
T. Goldmann
PDF
Coarse Geometry of Evolving Networks
Traditionally, network analysis is based on local properties of vertices, like their degree or clustering, and their statistical …
M. Weber
,
E. Saucan
,
J. Jost
Preprint
PDF
Project
Discrete Curvatures and Network Analysis
We describe an approach to the analysis of chemical (and other) networks that, in contrast to other schemes, is based on edges rather …
E. Saucan
,
A. Samal
,
M. Weber
,
J. Jost
PDF
Project
Characterizing complex networks with Forman-Ricci curvature and associated geometric flows
We introduce Forman-Ricci curvature and its corresponding flow as characteristics for complex networks attempting to extend the common …
M. Weber
,
E. Saucan
,
J. Jost
Preprint
PDF
Project
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