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Dive into the research topics where Bernhard Schoelkopf is active.

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Featured researches published by Bernhard Schoelkopf.


Electronic Journal of Statistics | 2012

On the empirical estimation of integral probability metrics

Bharath K. Sriperumbudur; Kenji Fukumizu; Arthur Gretton; Bernhard Schoelkopf; Gert R. G. Lanckriet

Given two probability measures, P and Q defined on a measurable space, S, the integral probability metric (IPM) is defined as γF(P,Q) = sup {∣∣∣∣ ∫


Frontiers in Human Neuroscience | 2014

Epidural electrocorticography for monitoring of arousal in locked-in state

Suzanne Martens; Michael Bensch; Sebastian Halder; Jeremy Hill; Femke Nijboer; Ander Ramos-Murguialday; Bernhard Schoelkopf; Niels Birbaumer; Alireza Gharabaghi

Electroencephalography (EEG) often fails to assess both the level (i.e., arousal) and the content (i.e., awareness) of pathologically altered consciousness in patients without motor responsiveness. This might be related to a decline of awareness, to episodes of low arousal and disturbed sleep patterns, and/or to distorting and attenuating effects of the skull and intermediate tissue on the recorded brain signals. Novel approaches are required to overcome these limitations. We introduced epidural electrocorticography (ECoG) for monitoring of cortical physiology in a late-stage amytrophic lateral sclerosis patient in completely locked-in state (CLIS). Despite long-term application for a period of six months, no implant-related complications occurred. Recordings from the left frontal cortex were sufficient to identify three arousal states. Spectral analysis of the intrinsic oscillatory activity enabled us to extract state-dependent dominant frequencies at <4, ~7 and ~20 Hz, representing sleep-like periods, and phases of low and elevated arousal, respectively. In the absence of other biomarkers, ECoG proved to be a reliable tool for monitoring circadian rhythmicity, i.e., avoiding interference with the patient when he was sleeping and exploiting time windows of responsiveness. Moreover, the effects of interventions addressing the patient’s arousal, e.g., amantadine medication, could be evaluated objectively on the basis of physiological markers, even in the absence of behavioral parameters. Epidural ECoG constitutes a feasible trade-off between surgical risk and quality of recorded brain signals to gain information on the patient’s present level of arousal. This approach enables us to optimize the timing of interactions and medical interventions, all of which should take place when the patient is in a phase of high arousal. Furthermore, avoiding low-responsiveness periods will facilitate measures to implement alternative communication pathways involving brain-computer interfaces (BCI).


Archive | 2002

Methods for feature selection in a learning machine

Jason Weston; André Elisseeff; Bernhard Schoelkopf; Fernando Pérez-Cruz


international conference on machine learning | 2014

Randomized Nonlinear Component Analysis

David Lopez-Paz; Suvrit Sra; Alexander J. Smola; Zoubin Ghahramani; Bernhard Schoelkopf


international conference on machine learning | 2014

Estimating Diffusion Network Structures: Recovery Conditions, Sample Complexity & Soft-thresholding Algorithm

Hadi Daneshmand; Manuel Gomez-Rodriguez; Le Song; Bernhard Schoelkopf


Archive | 2002

Kernels and methods for selecting kernels for use in learning machines

Peter L. Bartlett; André Elisseeff; Bernhard Schoelkopf


In: ACM Press (2009) | 2009

Detecting the Direction of Causal Time Series

Jonas Peters; Dominik Janzing; Arthur Gretton; Bernhard Schoelkopf


international conference on artificial intelligence and statistics | 2005

Kernel constrained covariance for dependence measurement

Arthur Gretton; Alexander J. Smola; Olivier Bousquet; Ralf Herbrich; Andrei Belitski; M Augath; Yusuke Murayama; J Pauls; Bernhard Schoelkopf; Nk Logothetis


international conference on learning representations | 2018

Wasserstein Auto-Encoders

Ilya O. Tolstikhin; Olivier Bousquet; Sylvain Gelly; Bernhard Schoelkopf


international conference on machine learning | 2015

Discovering Temporal Causal Relations from Subsampled Data

Mingming Gong; Kun Zhang; Bernhard Schoelkopf; Dacheng Tao; Philipp Geiger

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Arthur Gretton

University College London

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Kun Zhang

Carnegie Mellon University

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Fernando Pérez-Cruz

Instituto de Salud Carlos III

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Robert C. Williamson

Australian National University

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