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- Publications
- Influence

Directional Theta Coherence in Prefrontal Cortical to Amygdalo-Hippocampal Pathways Signals Fear Extinction

- J. Lesting, T. Daldrup, V. Narayanan, Christian Himpe, T. Seidenbecher, H. Pape
- Medicine, Biology
- PloS one
- 24 October 2013

Theta oscillations are considered crucial mechanisms in neuronal communication across brain areas, required for consolidation and retrieval of fear memories. One form of inhibitory learning allowing… Expand

Data-driven combined state and parameter reduction for inverse problems

- Christian Himpe, Mario Ohlberger
- Computer Science, Mathematics
- Adv. Comput. Math.
- 16 January 2014

In this contribution we present an accelerated optimization-based approach for combined state and parameter reduction of a parametrized forward model, which is used to construct a surrogate model in… Expand

Cross-Gramian Based Combined State and Parameter Reduction

- Christian Himpe, Mario Ohlberger
- Mathematics, Computer Science
- ArXiv
- 4 February 2013

This work introduces the empirical cross-gramian for multiple-input-multiple-output systems. The cross-gramian is a tool for
reducing the state space of control systems, by conjoining… Expand

Hierarchical Approximate Proper Orthogonal Decomposition

- Christian Himpe, Tobias Leibner, Stephan Rave
- Computer Science, Mathematics
- SIAM J. Sci. Comput.
- 18 July 2016

Proper Orthogonal Decomposition (POD) is a widely used technique for the construction of low-dimensional approximation spaces from high-dimensional input data. For large-scale applications and an… Expand

A note on the cross Gramian for non-symmetric systems

- Christian Himpe, Mario Ohlberger
- Mathematics, Computer Science
- ArXiv
- 22 January 2015

ABSTRACT The cross Gramian matrix is a tool for model reduction and system identification, but it is only applicable to square control systems. For symmetric systems, the cross Gramian possesses a… Expand

Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction Software

- J. Fehr, J. Heiland, Christian Himpe, J. Saak
- Computer Science
- ArXiv
- 5 July 2016

Over the recent years the importance of numerical experiments has gradually been more recognized. Nonetheless, su cient documentation of how computational results have been obtained is often not… Expand

A Unified Software Framework for Empirical Gramians

- Christian Himpe, Mario Ohlberger
- Mathematics, Computer Science
- ArXiv
- 29 January 2013

A common approach in model reduction is balanced truncation, which is based on Gramian matrices classifying certain attributes of states or parameters of a given dynamic system. Initially restricted… Expand

Comparison of Methods for Parametric Model Order Reduction of Time-Dependent Problems

- U. Baur, P. Benner, B. Haasdonk, Christian Himpe, I. Martini, M. Ohlberger
- Mathematics
- 2017

emgr - The Empirical Gramian Framework

- Christian Himpe
- Computer Science, Mathematics
- Algorithms
- 2 November 2016

System Gramian matrices are a well-known encoding for properties of input-output systems such as controllability, observability or minimality. These so-called system Gramians were developed in linear… Expand

Comparison of methods for parametric model order reduction of instationary problems

- U. Baur, P. Benner, B. Haasdonk, Christian Himpe, Immanuel Maier Mario Ohlberger
- 2015

Dynamical systems of large order appear in many applications. For an efficient simulation it can become necessary to reduce the system dimension using a reliable model order reduction method, in… Expand

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