Publications related to Parameterized approximation algorithm

Chance-Constrained Trajectory Planning With Multimodal Environmental Uncertainty

We tackle safe trajectory planning under Gaussian mixture model (GMM) uncertainty. Specifically, we use a GMM to model the multimodal behaviors of obstacles' uncertain states. Then, we develop a mixed-integer conic approximation to the chance-constrained t ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

Efficient Sequential and Parallel Algorithms for Multistage Stochastic Integer Programming Using Proximity

Friedrich Eisenbrand, Moritz Andreas Venzin, Jana Tabea Cslovjecsek

We consider the problem of solving integer programs of the form min {c^⊺ x : Ax = b, x ∈ ℤ_{⩾ 0}}, where A is a multistage stochastic matrix in the following sense: the primal treedepth of A is bounded by a parameter d, which means that the columns of A ca ...

Schloss Dagstuhl - Leibniz-Zentrum für Informatik2021

The One-Way Communication Complexity of Submodular Maximization with Applications to Streaming and Robustness

Ola Nils Anders Svensson, Moran Feldman, Rico Zenklusen, Ashkan Norouzi Fard

We consider the classical problem of maximizing a monotone submodular function subject to a cardinality constraint, which, due to its numerous applications, has recently been studied in various computational models. We consider a clean multi-player model t ...

ASSOC COMPUTING MACHINERY2020

Sparsity Invariance for Convex Design of Distributed Controllers

Maryam Kamgarpour, Luca Furieri, Yu Zheng

We address the problem of designing optimal linear time-invariant (LTI) sparse controllers for LTI systems, which corresponds to minimizing a norm of the closed-loop system subjected to sparsity constraints on the controller structure. This problem is NP-h ...

2020

No Small Linear Program Approximates Vertex Cover Within a Factor 2-epsilon

Ola Nils Anders Svensson, Abbas Bazzi

The vertex cover problem is one of the most important and intensively studied combinatorial optimization problems. Khot and Regev [Khot S, Regev O (2008) Vertex cover might be hard to approximate to within 2 - epsilon. J. Comput. System Sci. 74(3): 335-349 ...

INFORMS2019

Dynamic Optimization of Reaction Systems via Exact Parsimonious Input Parameterization

Dominique Bonvin, Diogo Filipe Mateus Rodrigues

This paper discusses the use of parsimonious input parameterization for the dynamic optimization of reaction systems. This parameterization is able to represent the optimal inputs with only a few parameters. In the context of batch, semibatch, and continuo ...

AMER CHEMICAL SOC2019

Size Matters: Cardinality-Constrained Clustering and Outlier Detection via Conic Optimization

Daniel Kuhn, Napat Rujeerapaiboon, Kilian Schindler, Wolfram Wiesemann

Plain vanilla K-means clustering is prone to produce unbalanced clusters and suffers from outlier sensitivity. To mitigate both shortcomings, we formulate a joint outlier-detection and clustering problem, which assigns a prescribed number of datapoints to ...

2019

Using Structural Properties for Integer Programs

Kim-Manuel Klein

Integer programs (IPs) are one of the fundamental tools used to solve combinatorial problems in theory and practice. Understanding the structure of solutions of IPs is thus helpful to argue about the existence of solutions with a certain simple structure, ...

SPRINGER INTERNATIONAL PUBLISHING AG2018

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Parameterized approximation algorithm

Results on Sparse Integer Programming and Geometric Independent Sets

Chance-Constrained Trajectory Planning With Multimodal Environmental Uncertainty

Efficient Sequential and Parallel Algorithms for Multistage Stochastic Integer Programming Using Proximity

The One-Way Communication Complexity of Submodular Maximization with Applications to Streaming and Robustness

Sparsity Invariance for Convex Design of Distributed Controllers

Graph fragmentation problem: analysis and synthesis

No Small Linear Program Approximates Vertex Cover Within a Factor 2-epsilon

Dynamic Optimization of Reaction Systems via Exact Parsimonious Input Parameterization

Size Matters: Cardinality-Constrained Clustering and Outlier Detection via Conic Optimization

Using Structural Properties for Integer Programs

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Chat with Graph Search

Efficient Sequential and Parallel Algorithms for Multistage Stochastic Integer Programming Using Proximity

Results on Sparse Integer Programming and Geometric Independent Sets

Sparsity Invariance for Convex Design of Distributed Controllers

Chance-Constrained Trajectory Planning With Multimodal Environmental Uncertainty

Graph fragmentation problem: analysis and synthesis

No Small Linear Program Approximates Vertex Cover Within a Factor 2-epsilon

The One-Way Communication Complexity of Submodular Maximization with Applications to Streaming and Robustness

Using Structural Properties for Integer Programs

Dynamic Optimization of Reaction Systems via Exact Parsimonious Input Parameterization

Size Matters: Cardinality-Constrained Clustering and Outlier Detection via Conic Optimization