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Safe Motion Planning against Multimodal Distributions Based on a Scenario Approach
Related publications (39)
Computational tool for stock-constrained design of structures
Corentin Jean Dominique Fivet, Jonas Warmuth, Jan Friedrich Georg Brütting
Designing structures from reused elements is becoming an increasingly important design task for structural engineers as it has potential to significantly reduce adverse environmental impacts of building structures. To allow for a broad application of this ...
2021Scalable Stochastic Optimization: Scenario Reduction with Guarantees
Stochastic optimization is a popular modeling paradigm for decision-making under uncertainty and has a wide spectrum of applications in management science, economics and engineering. However, the stochastic optimization models one faces in practice are int ...
EPFL2020Variational Inference with Mixture Model Approximation for Applications in Robotics
Sylvain Calinon, Emmanuel Pignat, Teguh Santoso Lembono
We propose to formulate the problem of repre-senting a distribution of robot configurations (e.g. joint angles)as that of approximating a product of experts. Our approach uses variational inference, a popular method in Bayesian computation, which has sever ...
2020The electric autonomous dial-a-ride problem
This thesis develops mathematical programming frameworks to operate electric autonomous vehicles in the context of ride-sharing services. The introduced problem is a novel variant of the Dial-a-Ride Problem (DARP), denoted by the electric Autonomous Dial-a ...
EPFL2020A Novel Decomposition Solution Approach for the Restoration Problem in Distribution Networks
The distribution network restoration problem is by nature a mixed integer and non-linear optimization problem due to the switching decisions and Optimal Power Flow (OPF) constraints, respectively. The link between these two parts involves logical implicati ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020Extended Formulations from Communication Protocols in Output-Efficient Time
Yuri Faenza, Manuel Francesco Aprile
Deterministic protocols are well-known tools to obtain extended formulations, with many applications to polytopes arising in combinatorial optimization. Although constructive, those tools are not output-efficient, since the time needed to produce the exten ...
SPRINGER INTERNATIONAL PUBLISHING AG2019Tropical Ehrhart Theory and Tropical Volume
Matthias Schymura, Georg Peter Loho
We introduce a novel intrinsic volume concept in tropical geometry. This is achieved by developing the foundations of a tropical analog of lattice point counting in polytopes. We exhibit the basic properties and compare it to existing measures. Our exposit ...
2019On some problems related to 2-level polytopes
In this thesis we investigate a number of problems related to 2-level polytopes, in particular from the point of view of the combinatorial structure and the extension complexity. 2-level polytopes were introduced as a generalization of stable set polytopes ...
EPFL2018On 2-Level Polytopes Arising In Combinatorial Settings
Yuri Faenza, Manuel Francesco Aprile, Alfonso Bolívar Cevallos Manzano
2-level polytopes naturally appear in several areas of pure and applied mathematics, including combinatorial optimization, polyhedral combinatorics, communication complexity, and statistics. In this paper, we present a study of some 2-level polytopes arisi ...
SIAM PUBLICATIONS2018Non-Normal Very Ample Polytopes - Constructions and Examples
We answer several questions posed by Beck, Cox, Delgado, Gubeladze, Haase, Hibi, Higashitani, and Maclagan in [Cox et al. 14, Question 3.5 (1),(2), Question 3.6], [Beck et al. 15, Conjecture 3.5(a),(b)], and [Hasse et al. 07, Open question 3 (a),(b) p. 231 ...
Taylor & Francis Inc2017