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References

Marcelo Forets edited this page Aug 13, 2020 · 52 revisions

Zonotopes

Minkowski sum

Minkowski difference

Triangulations

Polygon intersection

More on intersections

Disjointness check

  • Chazelle, B., & Dobkin, D. P. (1980, April). Detection is easier than computation. In Proceedings of the twelfth annual ACM symposium on Theory of computing (pp. 146-153).

Enumerations

  • Löhne, A. (2020). Approximate Vertex Enumeration. arXiv preprint arXiv:2007.06325.

  • Awasthi, P., Kalantari, B., & Zhang, Y. (2018, March). Robust vertex enumeration for convex hulls in high dimensions. In International Conference on Artificial Intelligence and Statistics (pp. 1387-1396).

Star sets

  • Tran, H. D., Lopez, D. M., Musau, P., Yang, X., Nguyen, L. V., Xiang, W., & Johnson, T. T. (2019, October). Star-based reachability analysis of deep neural networks. In International Symposium on Formal Methods (pp. 670-686). Springer, Cham. pdf

Theses

  • Le Guernic, C. (2009). Reachability analysis of hybrid systems with linear continuous dynamics (Doctoral dissertation). pdf. Tags: support functions, zonotopes, zonotope-hyperplane intersection.
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