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All Publications

Bürgisser, P., Doğan, M. L., Makam, V., Walter, M. and Wigderson, A. - Polynomial time algorithms in invariant theory for torus actions, Preprint 2021.


Franks, C. and Reichenbach, P. - Barriers for recent methods in geodesic optimization, Preprint 2021.


Bürgisser, P. - Optimization, Complexity and Invariant Theory. 38th International Symposium on Theoretical Aspects of Computer Science (STACS 2021) Leibniz International Proceedings in Informatics (LIPIcs) 187 pp. 1:1–1:20, . Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2021.


Améndola, C., Kohn, K., Reichenbach, P. and Seigal, A. - Toric invariant theory for maximum likelihood estimation in log-linear models, Preprint 2020.


Ottaviani, G. and Reichenbach, P. - Tensor Rank and Complexity, Preprint 2020.


Améndola, C., Kohn, K., Reichenbach, P. and Seigal, A. - Invariant Theory and Scaling Algorithms for Maximum Likelihood Estimation, Preprint 2020.


Breiding, P., Sturmfels, B. and Timme, S. - 3264 conics in a second. Notices of the American Mathematical Society 67(1) pp. 30–37, 2020.


Breiding, P. - An Algebraic Geometry Perspective on Topological Data Analysis. SIAM News 53(1) pp. 5, 2020.


Bürgisser, P., Li, Y., Nieuwboer, H. and Walter, M. - Interior-point methods for unconstrained geometric programming and scaling problems, Preprint 2020.


Bürgisser, P. and Lerario, A. - Probabilistic Schubert Calculus. Journal für die reine und angewandte Mathematik 760 pp. 1–58, 2020.


Bürgisser, P., Cucker, F. and Lairez, P. - Rigid continuation paths II. Structured polynomial systems, Preprint 2020.


Bürgisser, P. - Correction To: The Complexity of Factors of Multivariate Polynomials. Foundations of Computational Mathematics , 2020.


Bürgisser, P., Cucker, F. and Tonelli-Cueto, J. - Computing the Homology of Semialgebraic Sets I: Lax Formulas. Foundations of Computational Mathematics 20(1) pp. 71–118, 2020.


Briquel, I. and Bürgisser, P. - The real tau-conjecture is true on average. Random Structures & Algortihms , 2020.


Bürgisser, P., Franks, C., Garg, A., Oliveira, R., Walter, M. and Wigderson, A. - Towards a theory of non-commutative optimization: geodesic first and second order methods for moment maps and polytopes, Preprint 2019.


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