His main research concerns Combinatorics, Discrete mathematics, Coreset, k-means clustering and Cluster analysis. His Approximation algorithm, Spanning tree and Line graph study in the realm of Combinatorics connects with subjects such as Bounded function. His Approximation algorithm research is multidisciplinary, incorporating elements of Kullback–Leibler divergence, Time complexity, Divergence, Mahalanobis distance and Metric space.
In the subject of general Discrete mathematics, his work in Euclidean minimum spanning tree and Universal graph is often linked to Constant and Dimension, thereby combining diverse domains of study. His research integrates issues of CURE data clustering algorithm, Data stream clustering, Nonuniform sampling and Theoretical computer science in his study of k-means clustering. His Cluster analysis research integrates issues from Algorithm, Point set, Euclidean space and Partition.
His primary areas of investigation include Combinatorics, Discrete mathematics, Property testing, Cluster analysis and Bounded function. In his study, Christian Sohler carries out multidisciplinary Combinatorics and Constant research. His work on Line graph, Metric space and Graph property as part of general Discrete mathematics study is frequently connected to Streaming algorithm, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.
His work deals with themes such as Adjacency matrix, Vertex, Graph and Graph, which intersect with Property testing. Christian Sohler interconnects Coreset and Algorithm in the investigation of issues within Cluster analysis. His Coreset research includes themes of Subspace topology and Euclidean space.
His scientific interests lie mostly in Combinatorics, Bounded function, Cluster analysis, Property testing and Discrete mathematics. In his research, Christian Sohler undertakes multidisciplinary study on Combinatorics and Constant. His Cluster analysis study combines topics from a wide range of disciplines, such as Time complexity and Algorithm.
The concepts of his Algorithm study are interwoven with issues in Coreset and Heuristics. His Property testing study combines topics in areas such as Graph, Partition and Theoretical computer science. In general Discrete mathematics study, his work on Adjacency matrix and Graph often relates to the realm of Streaming algorithm, thereby connecting several areas of interest.
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StreamKM++: A clustering algorithm for data streams
Marcel R. Ackermann;Marcus Märtens;Christoph Raupach;Kamil Swierkot.
ACM Journal of Experimental Algorithms (2012)
StreamKM++: A clustering algorithm for data streams
Marcel R. Ackermann;Marcus Märtens;Christoph Raupach;Kamil Swierkot.
ACM Journal of Experimental Algorithms (2012)
Turning Big Data Into Tiny Data: Constant-Size Coresets for $k$-Means, PCA, and Projective Clustering
Dan Feldman;Melanie Schmidt;Christian Sohler.
SIAM Journal on Computing (2020)
Turning Big Data Into Tiny Data: Constant-Size Coresets for $k$-Means, PCA, and Projective Clustering
Dan Feldman;Melanie Schmidt;Christian Sohler.
SIAM Journal on Computing (2020)
Counting triangles in data streams
Luciana S. Buriol;Gereon Frahling;Stefano Leonardi;Alberto Marchetti-Spaccamela.
symposium on principles of database systems (2006)
Counting triangles in data streams
Luciana S. Buriol;Gereon Frahling;Stefano Leonardi;Alberto Marchetti-Spaccamela.
symposium on principles of database systems (2006)
A FAST k-MEANS IMPLEMENTATION USING CORESETS
Gereon Frahling;Christian Sohler.
International Journal of Computational Geometry and Applications (2008)
A FAST k-MEANS IMPLEMENTATION USING CORESETS
Gereon Frahling;Christian Sohler.
International Journal of Computational Geometry and Applications (2008)
Randomized Pursuit-Evasion in Graphs
Micah Adler;Harald Räcke;Naveen Sivadasan;Christian Sohler.
Combinatorics, Probability & Computing (2003)
Randomized Pursuit-Evasion in Graphs
Micah Adler;Harald Räcke;Naveen Sivadasan;Christian Sohler.
Combinatorics, Probability & Computing (2003)
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