P. Brendel, P. Dlotko, G. Ellis, M. Juda, M. Mrozek, “Fundamental Group Algorithm for low dimensional tesselated CW complexes,” (preprint)
Dan Hirsch, Meredith Patterson, Anders Sandberg, Mikael Vejdemo-Johansson, “More ties than we thought,” Link
T. Kapela, “Rigorous method for the global dynamics of the semelparous species”
U. Bauer, A. Munk, H. Sieling, and M. Wardetzky. Persistent homology meets statistical inference – a case study: detecting modes of one-dimensional signals. Preprint, 2014 Link
J. Rupnik, P. Skraba, J. Shawe-Taylor, S. Guettes, A Comparison of Relaxations of Multiset Can- nonical Correlation Analysis and Applications, Link
M. Mrozek, R. Srzednicki, F. Weilandt, A topological approach to the algorithmic computation of the Conley index of Poincare operators, (preprint)
P. Skraba and M. Vejdemo-Johansson. “Persistence modules: algebra and algorithms,” Manuscript 2013.
P. Skraba and J. Pita Costa, “On a lattice for persistence,” manuscript
Submitted
R.J. Adler, K. Bartz, S.C. Kou, A. Monod, Estimating Thresholding Levels for Random Fields via Euler Characteristics,” submitted Link
H Edelsbrunner and N. Strelkova. On the configuration space of Steiner minimal trees. Submitted, 2014 Link
H Edelsbrunner, A. Glazyrin, O. Musin and A. Nikitenko. The Voronoi functional is maximized by the Delaunay triangulation in the plane. Submitted, 2014 Link
K. Mischaikow, M. Mrozek, F. Weilandt. Discretization strategies for computing Conley indices and Morse decompositions of flows, submitted Link
P.Frosini, G. Jablonski “Combining persistent homology and invariance groups for shape comparison”, preprint, submitted Link
Primoz Skraba, Bei Wang, Harsh Bhatia, Guoning Chen, Paul Rosen. Simplifying Critical Points in 3D Vector Fields with Robustness submitted to Eurovis 2016
Omer Bobrowski, Matthew Kahle, Primoz Skraba. Maximally Persistent Cycles in Random Geometric Complexes, submitted to Annals of Applied Probability Link
Ganna Kudryavtseva, Primoz Skraba, The principal bundles over an inverse semigroup, submitted to Semigroup Forum Link
R.J. Adler, O. Bobrowski and S. Weinberger, “Crackle: The persistent homology of noise, submitted Link
Mikael Vejdemo-Johansson “Sketches of a platypus: a survey of persistent homology and its algebraic foundations,” submitted Link
Antonio Rieser A Topological Approach to Spectral Clustering Link
To appear
Primoz Skraba and Michael Vejdemo-Johannson Topology and Big Data, chapter accepted to Big Data and Optimization
H. Edelsbrunner and F. Pausinger. Approximation and convergence of the intrinsic volume. Advances in Mathematics, to appear. Link
Appeared
Michael Kerber, Don Sheehy, Primoz Skraba Persistent Homology and Nested Dissection, SODA 2016 Link
Jesse Berwald, Marian Gidea, and Mikael Vejdemo-Johansson, “Automatic recognition and tagging of topologically different regimes in dynamical systems,” Journal of Discontinuity, Nonlinearity and Complexity LinkErin Chambers, Mikael Vejdemo-Johansson, “Computing minimum area homologies,” , CG Forum Link
D. Yogeshwaran, Robert J. Adler, “On the topology of random complexes built over stationary point processes. 2014, Ann. Appl. Prob. Link
D. Attali, U. Bauer, O. Devillers, M. Glisse, and A. Lieutier. Homological reconstruction and simplification in R3. Computational Geometry: Theory and Applications, 2014. In press.Link
D. Yogeshwaran, Eliran Subag, Robert J. Adler, “Random geometric complexes in the thermodynamic regime” Probability Theory and Related Fields Link
D. Govc,“On the definition of homological critical value,” Journal of Homotopy Related Structures Link
M. Vejdemo-Johansson, F.T. Pokorny, P. Skraba, D. Kragic. Cohomological learning of periodic motion, accepted to the special issue of Computer Algebra in Algebraic Topology and its Applications, Springer Journal of Applicable Algebra in Engineering, Communication and Computing Link
Mikael Vejdemo-Johansson, Susanne Vejdemo, C-H Ek, Comparing distributions of color words: pitfalls and metric choices, PLOS-one Link
Henry Adams, Andrew Tausz, MikaelVejdemo-Johansson, “javaPlex: A Research Software Package for Persistent (Co) Homology,” Mathematical Software–ICMS 2014 Link
Florian Pokorny, Majd Hawasly, Subramanian Ramamoorthy, “Multiscale Topological Trajectory Classification with Persistent Homology,” Proceedings of Robotics: Science and Systems 2014 Link
M. Vejdemo-Johansson, P. Skraba, Algebraic and Topological Perspectives on Semi-Supervised Clus- tering, European Conference on Complexity Science 2014
J. Pita Costa, P. Skraba, A topological data analysis approach to epidemiology, European Conference on Complexity Science 2014
P. Skraba, R.Adler Topological Detection of Heavy Tailed Distributions, European Conference on Complexity Science 2014
P. Skraba, B. Wang, G. Chen, P Rosen, 2D vector field simplification based on robustness, 7th Pa- cific Visualization Symposium, March 4-7, 2014, Yokohama, Japan. PacificVis 2014. (Best Paper) Link
P. Skraba, B. Wang, Approximating local homology from samples, Proceedings of the Twenty-Fifth Annual ACM-SIAM Symposium on Discrete Algorithms, January 5-7, 2014, Portland, Oregon, USA, p. 174-192.Link
P. Skraba, B. Wang, Interpreting feature tracking through the lens of robustness, Topological methods in data analysis and visualization III : theory, algorithms applications, (Mathematics and visualization), Springer, 2014, p. 19-37 Link
M .Mole, K. Bergant, L. Honzak, J. Rakovec, Joe, G. Skok, S. Stanic, R. Zabkar, P. Skraba. Analysis of measurements of the Bora wind in Vipava valley, European Geosciences Union, General Assembly 2014, Vienna, Austria, 27 April-02 May 201
U. Bauer, M. Kerber, J. Reininghaus, and H. Wagner. PHAT – persistent homology algorithms toolbox. In Proceedings of the 4th International Congress on Mathematical Softwarey (ICMS 2014). LNCS 8592, Springer, 2014 Link
U. Bauer and H. Edelsbrunner. The Morse theory of Čech and Delaunay filtrations. In Proceedings of the thirtieth annual symposium on Computational geometry (SoCG ’14). ACM, 2014, pp. 484–490 Link
U. Bauer and M. Lesnick. Induced matchings of barcodes and the algebraic stability of persistence. In Proceedings of the thirtieth annual symposium on Computational geometry (SoCG ’14). Invited to special issue of Journal of Computational Geometry. ACM, 2014, pp. 355–364 Link
U. Bauer, X. Ge, and Y. Wang. Measuring distance between Reeb graphs. In Proceedings of the thirtieth annual symposium on Computational geometry (SoCG ’14). ACM, 2014, pp. 464–473 Link
U. Bauer, M. Kerber, and J. Reininghaus. Distributed computation of persistent homology. In Proceedings of the Sixteenth Workshop on Algorithm Engineering and Experiments (ALENEX’14). SIAM, 2014, pp. 31–38 Link
U. Bauer, M. Kerber, and J. Reininghaus. Clear and compress: computing persistent homology in chunks. In Topological Methods in Data Analysis and Visualization III (TopoInVis ’13). Springer, 2014, pp. 103–117 Link
H Edelesbrunner and S. Parsa. On the computational complexity of Betti numbers: reduction from matrix rank. In Proc. 25th ACM-SIAM Sympos. Discrete Algorithms, 2014, 152-160 Link
V. Zobel, J. Reiningshaus, I. Hotz Visualization of Two-Dimensional Symmetric Tensor Fields Using the Heat Kernel Signature, Topological Methods in Data Analysis and Visualization III, Springer, 2014, 249-262 Link
D. Günther, J. Reininghaus, H.-P. Seidel, T. Weinkauf Notes on the Simplification of the Morse-Smale Complex, Topological Methods in Data Analysis and Visualization III, Springer, 2014, 135-150 Link
J. Kasten, J. Reininghaus, W. Reich, G. Scheuermann Towards the Extraction of Saddle Periodic Orbits, Topological Methods in Data Analysis and Visualization III, Springer, 2014, 55-69 Link
D Günther, A Jacobson, J. Reininghaus, H. Seidel, O. Sorkine-Hornung, T.Weinkauf Fast and Memory-Efficient Topological Denoising of 2D and 3D Scalar Fields, IEEE Transactions on Visualization and Computer Graphics, 2014, DOI 10.1109/TVCG.2014.2346432 Link
M. Juda, M. Mrozek CAPD::RedHom v2 – Homology Software Based on Reduction Algorithms, in: Mathematical Software – ICMS 2014, Lecture Notes in Computer Science 8592 (2014), 160–166 Link
H. Edelsbrunner, G. Jablonski, M. Mrozek. The Persistent Homology of a Self-map, Foundations of Computational Mathematic, 15(2015), 1213–-1244. DOI: 10.1007/s10208-014-9223-y Link
M. Mrozek, R. Srzednicki, F. Weilandt. A topological approach to the algorithmic computation of the Conley index of Poincare operators, SIAM Journal on Applied Dynamical Systems}, 14(2015), 1348–-1386 Link
R.Srzednicki, On computer-assisted proving the existence of periodic and bounded orbits, Annales Mathematicae Silesianae 29 (2015) Link
D. Yogeshwaran and R.J. Adler, On the topology of random processes built over stationary random processes Link
Jan Rupnik, Andrej Muhic, Gregor Leban, Primoz Skraba, Blaz Fortuna, Marko Grobelnik News Across Languages – Cross-Lingual Document Similarity and Event Tracking accepted Journal of Artificial Intelligence Research
Primoz Skraba, Bei Wang, Guoning Chen, Paul Rosen. Robustness-based simplification of 2D steady and unsteady vector fields. IEEE transactions on visualization and computer graphics 2015 Link
H. Edelsbrunner, M. Iglesias-Ham and V. Kurlin. Relaxed disk packing. In Proc. 27 the Canadian Conf. Comput. Geom., 2015 Link
Roman Srzednicki, “Fixed point homomorphisms for parameterized maps,” Journal of Fixed Point Theory and Applications, online September 2013 Link
D. Attali, U. Bauer, O. Devillers, M. Glisse and A. Lieutier. “Homological reconstruction and simplification in R^3”. SoCG ’13, Proc. 29th Ann. Sympos. Comput. Geom., 2013, 117-126. Link
J. A. Stork, F. T. Pokorny, D. Kragic, “Integrated Motion and Clasp Planning with Virtual Linking” In IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2013) Link
Bei Wang, Paul Rosen, Primoz Skraba, Harsh Bhatia, Valerio Pasucci, “Visualizing robustness of critical points for 2D time-varying vector fields.” Comput. graph. forum, 2013, vol. 32, no. 3, pt. 2, str. 221-230. Link
Vin De Silva, Primoz Skraba and Mikael Vejdemo-Johansson, “Topological Analysis of Recurrent Systems,” Workshop on Algebraic Topology and Machine Learning, NIPS 2012
Parallel & scalable zig-zag persistent homology – Primoz Skraba and Mikael Vejdemo-Johansson,Workshop on Algebraic Topology and Machine Learning, NIPS 2012
