Publications related to MATHICSE Technical Report : Frequency-domain non-intrusive greedy Model Order Reduction based on minimal rational approximation

Frequency-Domain Non-intrusive Greedy Model Order Reduction Based on Minimal Rational Approximation

We present a technique for Model Order Reduction (MOR) of frequency-domain problems relying on rational interpolation of vector-valued functions. The selection of the sample points is carried out adaptively according to a greedy procedure. We describe seve ...

SPRINGER INTERNATIONAL PUBLISHING AG2021

Performance guarantees of forward and reverse greedy algorithms for minimizing nonsupermodular nonsubmodular functions on a matroid

Maryam Kamgarpour, Orcun Karaca

This letter studies the problem of minimizing increasing set functions, equivalently, maximizing decreasing set functions, over the base matroid. This setting has received great interest, since it generalizes several applied problems including actuator and ...

2021

Cluster-and-Conquer: When Randomness Meets Graph Locality

Anne-Marie Kermarrec, Olivier Ruas

K-Nearest-Neighbors (KNN) graphs are central to many emblematic data mining and machine-learning applications. Some of the most efficient KNN graph algorithms are incremental and local: they start from a random graph, which they incrementally improve by tr ...

IEEE COMPUTER SOC2021

Actuator Placement under Structural Controllability using Forward and Reverse Greedy Algorithms

Maryam Kamgarpour, Tyler Summers, Baiwei Guo, Orcun Karaca

Actuator placement is an active field of research which has received significant attention for its applications in complex dynamical networks. In this paper, we study the problem of finding a set of actuator placements minimizing the metric that measures t ...

2020

Actuator Placement for Optimizing Network Performance under Controllability Constraints

Maryam Kamgarpour, Tyler Summers, Baiwei Guo, Orcun Karaca

With the rising importance of large-scale network control, the problem of actuator placement has received increasing attention. Our goal in this paper is to find a set of actuators minimizing the metric that measures the average energy consumption of the c ...

IEEE2019

Fourier interpolation on the real line

Maryna Viazovska

In this paper we construct an explicit interpolation formula for Schwartz functions on the real line. The formula expresses the value of a function at any given point in terms of the values of the function and its Fourier transform on the set {0,+/- 1,+/- ...

2019

Approximation of Non-decaying Signals from Shift-Invariant Subspaces

Michaël Unser, Quy Ha Nguyen

In our recent work, the sampling and reconstruction of non-decaying signals, modeled as members of weighted-L-p spaces, were shown to be stable with an appropriate choice of the generating kernel for the shift-invariant reconstruction space. In this paper, ...

2019

Reduced Numerical Approximation of Reduced Fluid-Structure Interaction Problems With Applications in Hemodynamics

Simone Deparis, Claudia Maria Colciago

This paper deals with fast simulations of the hemodynamics in large arteries by considering a reduced model of the associated fluid-structure interaction problem, which in turn allows an additional reduction in terms of the numerical discretisation. The re ...

2018

Robust Submodular Maximization: A Non-Uniform Partitioning Approach

Volkan Cevher, Jonathan Mark Scarlett, Ilija Bogunovic, Slobodan Mitrovic

We study the problem of maximizing a monotone submodular function subject to a cardinality constraint

k

, with the added twist that a number of items

\tau

from the returned set may be removed. We focus on the worst-case setting considered in Orlin et al ...

2017

Maximizing k-Submodular Functions and Beyond

Justin Dean Ward

We consider the maximization problem in the value oracle model of functions defined on k-tuples of sets that are submodular in every orthant and r-wise monotone, where k >= 2 and 1

Assoc Computing Machinery2016

MATHICSE Technical Report : Frequency-domain non-intrusive greedy Model Order Reduction based on minimal rational approximation

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Frequency-Domain Non-intrusive Greedy Model Order Reduction Based on Minimal Rational Approximation

Performance guarantees of forward and reverse greedy algorithms for minimizing nonsupermodular nonsubmodular functions on a matroid

Cluster-and-Conquer: When Randomness Meets Graph Locality

Actuator Placement under Structural Controllability using Forward and Reverse Greedy Algorithms

Actuator Placement for Optimizing Network Performance under Controllability Constraints

Fourier interpolation on the real line

Approximation of Non-decaying Signals from Shift-Invariant Subspaces

Reduced Numerical Approximation of Reduced Fluid-Structure Interaction Problems With Applications in Hemodynamics

Robust Submodular Maximization: A Non-Uniform Partitioning Approach

Maximizing k-Submodular Functions and Beyond

Approximation of Non-decaying Signals from Shift-Invariant Subspaces

Frequency-Domain Non-intrusive Greedy Model Order Reduction Based on Minimal Rational Approximation

Performance guarantees of forward and reverse greedy algorithms for minimizing nonsupermodular nonsubmodular functions on a matroid

Maximizing k-Submodular Functions and Beyond

Fourier interpolation on the real line

Cluster-and-Conquer: When Randomness Meets Graph Locality

Actuator Placement under Structural Controllability using Forward and Reverse Greedy Algorithms

Reduced Numerical Approximation of Reduced Fluid-Structure Interaction Problems With Applications in Hemodynamics

Robust Submodular Maximization: A Non-Uniform Partitioning Approach

Actuator Placement for Optimizing Network Performance under Controllability Constraints