Peter M A Sloot | University of Amsterdam (original) (raw)
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Papers by Peter M A Sloot
Entropy, Feb 22, 2017
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Lecture Notes in Computer Science, 2020
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Scientific Reports, 2020
The analysis of questionnaires often involves representing the high-dimensional responses in a lo... more The analysis of questionnaires often involves representing the high-dimensional responses in a low-dimensional space (e.g., PCA, MCA, or t-SNE). However questionnaire data often contains categorical variables and common statistical model assumptions rarely hold. Here we present a non-parametric approach based on Fisher Information which obtains a low-dimensional embedding of a statistical manifold (SM). The SM has deep connections with parametric statistical models and the theory of phase transitions in statistical physics. Firstly we simulate questionnaire responses based on a non-linear SM and validate our method compared to other methods. Secondly we apply our method to two empirical datasets containing largely categorical variables: an anthropological survey of rice farmers in Bali and a cohort study on health inequality in Amsterdam. Compare to previous analysis and known anthropological knowledge we conclude that our method best discriminates between different behaviours, pavi...
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Journal of Computational Science, 2019
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Procedia Computer Science, 2017
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Journal of Statistical Mechanics: Theory and Experiment, 2016
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Proceedings of the 2003 international conference on Designing pleasurable products and interfaces - DPPI '03, 2003
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Lecture Notes in Computer Science, 2003
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Handbook of Research on Computational Grid Technologies for Life Sciences, Biomedicine, and Healthcare
Research environments for modern, cross-disciplinary scientific endeavors have to unite multiple ... more Research environments for modern, cross-disciplinary scientific endeavors have to unite multiple users, with varying levels of expertise and roles, along with multitudes of data sources and processing units. The high level of required integration contrasts with the loosely-coupled nature of environments which are appropriate for research. The problem is to support integration of dynamic service-based infrastructures with data sources, tools and users in a way that conserves ubiquity, extensibility and usability. This chapter presents a close examination of related achievements in the field and the description of proposed approach. It shows that integration of loosely-coupled system components with formallydefined vocabularies may fulfill the listed requirements. The authors demonstrate that combining formal representations of domain knowledge with techniques like data integration, semantic annotations and shared vocabularies, enables the development of systems for modern e-Science. ...
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19th IEEE Symposium on Computer-Based Medical Systems (CBMS'06), 2006
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Lecture Notes in Computer Science, 2003
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Lecture Notes in Computer Science, 2007
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Lecture Notes in Computer Science, 2003
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Lecture Notes in Computer Science, 2006
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Lecture Notes in Computer Science, 2005
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Lecture Notes in Computer Science, 2005
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Lecture Notes in Computer Science, 2009
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Lecture Notes in Computer Science, 2010
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Lecture Notes in Computer Science, 2009
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Implicit time stepping is often difficult to parallelize. The recently proposed Minimal Residual ... more Implicit time stepping is often difficult to parallelize. The recently proposed Minimal Residual Approximate Implicit (MRAI) schemes (2) are spe- cially designed as a cheaper and parallelizable alternative for implicit time step- ping. A several GMRES iterations are performed to solve approximately the im- plicit scheme of interest, and the step size is adjusted to guarantee stability. A natural way to apply the approach is to modify a given implicit scheme in which one is interested. Here, we present numerical results for two parallel im- plementations of MRAI schemes. One is based on the simple Euler Backward scheme, and the other is the MRAI-modified multistep ODE solver LSODE. On the Cray T3E and IBM SP2 platforms, the MRAI codes exhibit parallelism of explicit schemes. The model problem under consideration is the 3D spatially discretized heat equation. The speed-up results for the Cray T3E and IBM SP2 are reported.
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Entropy, Feb 22, 2017
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Lecture Notes in Computer Science, 2020
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Scientific Reports, 2020
The analysis of questionnaires often involves representing the high-dimensional responses in a lo... more The analysis of questionnaires often involves representing the high-dimensional responses in a low-dimensional space (e.g., PCA, MCA, or t-SNE). However questionnaire data often contains categorical variables and common statistical model assumptions rarely hold. Here we present a non-parametric approach based on Fisher Information which obtains a low-dimensional embedding of a statistical manifold (SM). The SM has deep connections with parametric statistical models and the theory of phase transitions in statistical physics. Firstly we simulate questionnaire responses based on a non-linear SM and validate our method compared to other methods. Secondly we apply our method to two empirical datasets containing largely categorical variables: an anthropological survey of rice farmers in Bali and a cohort study on health inequality in Amsterdam. Compare to previous analysis and known anthropological knowledge we conclude that our method best discriminates between different behaviours, pavi...
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Journal of Computational Science, 2019
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Procedia Computer Science, 2017
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Journal of Statistical Mechanics: Theory and Experiment, 2016
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Proceedings of the 2003 international conference on Designing pleasurable products and interfaces - DPPI '03, 2003
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Lecture Notes in Computer Science, 2003
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Handbook of Research on Computational Grid Technologies for Life Sciences, Biomedicine, and Healthcare
Research environments for modern, cross-disciplinary scientific endeavors have to unite multiple ... more Research environments for modern, cross-disciplinary scientific endeavors have to unite multiple users, with varying levels of expertise and roles, along with multitudes of data sources and processing units. The high level of required integration contrasts with the loosely-coupled nature of environments which are appropriate for research. The problem is to support integration of dynamic service-based infrastructures with data sources, tools and users in a way that conserves ubiquity, extensibility and usability. This chapter presents a close examination of related achievements in the field and the description of proposed approach. It shows that integration of loosely-coupled system components with formallydefined vocabularies may fulfill the listed requirements. The authors demonstrate that combining formal representations of domain knowledge with techniques like data integration, semantic annotations and shared vocabularies, enables the development of systems for modern e-Science. ...
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19th IEEE Symposium on Computer-Based Medical Systems (CBMS'06), 2006
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Lecture Notes in Computer Science, 2003
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Lecture Notes in Computer Science, 2007
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Lecture Notes in Computer Science, 2003
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Lecture Notes in Computer Science, 2006
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Lecture Notes in Computer Science, 2005
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Lecture Notes in Computer Science, 2005
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Lecture Notes in Computer Science, 2009
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Lecture Notes in Computer Science, 2010
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Lecture Notes in Computer Science, 2009
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Implicit time stepping is often difficult to parallelize. The recently proposed Minimal Residual ... more Implicit time stepping is often difficult to parallelize. The recently proposed Minimal Residual Approximate Implicit (MRAI) schemes (2) are spe- cially designed as a cheaper and parallelizable alternative for implicit time step- ping. A several GMRES iterations are performed to solve approximately the im- plicit scheme of interest, and the step size is adjusted to guarantee stability. A natural way to apply the approach is to modify a given implicit scheme in which one is interested. Here, we present numerical results for two parallel im- plementations of MRAI schemes. One is based on the simple Euler Backward scheme, and the other is the MRAI-modified multistep ODE solver LSODE. On the Cray T3E and IBM SP2 platforms, the MRAI codes exhibit parallelism of explicit schemes. The model problem under consideration is the 3D spatially discretized heat equation. The speed-up results for the Cray T3E and IBM SP2 are reported.
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The Fisher–Rao metric from information geometry is related to phase transition phenomena in class... more The Fisher–Rao metric from information geometry is related to phase transition phenomena in classical statistical mechanics. Several studies propose to extend the use of information geometry to study more general phase transitions in complex systems. However, it is unclear whether the Fisher–Rao metric does indeed detect these more general transitions, especially in the absence of a statistical model. In this paper we study the transitions between patterns in the Gray-Scott reaction–diffusion model using Fisher information. We describe the system by a probability density function that represents the size distribution of blobs in the patterns and compute its Fisher information with respect to changing the two rate parameters of the underlying model. We estimate the distribution non-parametrically so that we do not assume any statistical model. The resulting Fisher map can be interpreted as a phase-map of the different patterns. Lines with high Fisher information can be considered as boundaries between regions of parameter space where patterns with similar characteristics appear. These lines of high Fisher information can be interpreted as phase transitions between complex patterns.
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