Arnulf B. A. Graf
Max Planck Society
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Featured researches published by Arnulf B. A. Graf.
Nature Neuroscience | 2011
Arnulf B. A. Graf; Adam Kohn; Mehrdad Jazayeri; J. Anthony Movshon
Visual function depends on the accuracy of signals carried by visual cortical neurons. Combining information across neurons should improve this accuracy because single neuron activity is variable. We examined the reliability of information inferred from populations of simultaneously recorded neurons in macaque primary visual cortex. We considered a decoding framework that computes the likelihood of visual stimuli from a pattern of population activity by linearly combining neuronal responses and tested this framework for orientation estimation and discrimination. We derived a simple parametric decoder assuming neuronal independence and a more sophisticated empirical decoder that learned the structure of the measured neuronal response distributions, including their correlated variability. The empirical decoder used the structure of these response distributions to perform better than its parametric variant, indicating that their structure contains critical information for sensory decoding. These results show how neuronal responses can best be used to inform perceptual decision-making.
IEEE Transactions on Neural Networks | 2003
Arnulf B. A. Graf; Alexander J. Smola; Silvio Borer
This paper discusses classification using support vector machines in a normalized feature space. We consider both normalization in input space and in feature space. Exploiting the fact that in this setting all points lie on the surface of a unit hypersphere we replace the optimal separating hyperplane by one that is symmetric in its angles, leading to an improved estimator. Evaluation of these considerations is done in numerical experiments on two real-world datasets. The stability to noise of this offset correction is subsequently investigated as well as its optimality.
BMCV '02 Proceedings of the Second International Workshop on Biologically Motivated Computer Vision | 2002
Arnulf B. A. Graf; Felix A. Wichmann
This paper addresses the issue of combining pre-processing methods--dimensionality reduction using Principal Component Analysis (PCA) and Locally Linear Embedding (LLE)--with Support Vector Machine (SVM) classification for a behaviorally important task in humans: gender classification. A processed version of the MPI head database is used as stimulus set. First, summary statistics of the head database are studied. Subsequently the optimal parameters for LLE and the SVM are sought heuristically. These values are then used to compare the original face database with its processed counterpart and to assess the behavior of a SVM with respect to changes in illumination and perspective of the face images. Overall, PCA was superior in classification performance and allowed linear separability.
joint pattern recognition symposium | 2001
Arnulf B. A. Graf; Silvio Borer
This article deals with various aspects of normalization in the context of Support Vector Machines. We consider fist normalization of the vectors in the input space and point out the inherent limitations. A natural extension to the feature space is then represented by the kernel function normalization. A correction of the position of the Optimal Separating Hyperplane is subsequently introduced so as to suit better these normalized kernels. Numerical experiments finally evaluate the different approaches.
international conference on pattern recognition | 2002
Hh Bülthoff; Christian Wallraven; Arnulf B. A. Graf
Psychophysical studies have shown that humans actively exploit temporal information such as contiguity of images in object recognition. We have recently developed a recognition system which uses temporal contiguity to learn extensible representations of objects on-line. The system performs well both on real-world and synthetic data and shows robustness under illumination changes. In this paper, we present results which compare the proposed representation against simple image-based representations of the same complexity using Minkowski minimum distance classifiers and support vector machine classifiers. Recognition results for all classifiers show large improvements with incorporated temporal information.
eLife | 2014
Arnulf B. A. Graf; Richard A. Andersen
Understanding how the brain computes eye position is essential to unraveling high-level visual functions such as eye movement planning, coordinate transformations and stability of spatial awareness. The lateral intraparietal area (LIP) is essential for this process. However, despite decades of research, its contribution to the eye position signal remains controversial. LIP neurons have recently been reported to inaccurately represent eye position during a saccadic eye movement, and to be too slow to support a role in high-level visual functions. We addressed this issue by predicting eye position and saccade direction from the responses of populations of LIP neurons. We found that both signals were accurately predicted before, during and after a saccade. Also, the dynamics of these signals support their contribution to visual functions. These findings provide a principled understanding of the coding of information in populations of neurons within an important node of the cortical network for visual-motor behaviors. DOI: http://dx.doi.org/10.7554/eLife.02813.001
Journal of Turbomachinery-transactions of The Asme | 2003
G. Vogel; Arnulf B. A. Graf; J. von Wolfersdorf; Bernhard Weigand
Keywords: Heat Transfer ; Measurement Techniques ; Turbomachinery ; GTT ; LTT Reference LTT-ARTICLE-2003-002doi:10.1115/1.1578501View record in Web of Science Record created on 2007-04-18, modified on 2017-05-10
Neural Computation | 2009
Arnulf B. A. Graf; Olivier Bousquet; Gunnar Rätsch; Bernhard Schölkopf
We shed light on the discrimination between patterns belonging to two different classes by casting this decoding problem into a generalized prototype framework. The discrimination process is then separated into two stages: a projection stage that reduces the dimensionality of the data by projecting it on a line and a threshold stage where the distributions of the projected patterns of both classes are separated. For this, we extend the popular mean-of-class prototype classification using algorithms from machine learning that satisfy a set of invariance properties. We report a simple yet general approach to express different types of linear classification algorithms in an identical and easy-to-visualize formal framework using generalized prototypes where these prototypes are used to express the normal vector and offset of the hyperplane. We investigate non-margin classifiers such as the classical prototype classifier, the Fisher classifier, and the relevance vector machine. We then study hard and soft margin classifiers such as the support vector machine and a boosted version of the prototype classifier. Subsequently, we relate mean-of-class prototype classification to other classification algorithms by showing that the prototype classifier is a limit of any soft margin classifier and that boosting a prototype classifier yields the support vector machine. While giving novel insights into classification per se by presenting a common and unified formalism, our generalized prototype framework also provides an efficient visualization and a principled comparison of machine learning classification.
Journal of Fluid Mechanics | 2004
Oscar Gonzalez; Arnulf B. A. Graf; John H. Maddocks
We demonstrate that the dynamics of a rigid body falling in an infinite viscous fluid can, in the Stokes limit, be reduced to the study of a three-dimensional system of ordinary differential equations
Proceedings of the National Academy of Sciences of the United States of America | 2014
Arnulf B. A. Graf; Richard A. Andersen
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