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This paper considers a collection of networked nonlinear dynamical systems, and addresses the synthesis of feedback controllers that seek optimal operating points corresponding to the solution of network-wide constrained optimization…

Optimization and Control · Mathematics 2015-04-03 Emiliano Dall'Anese , Sairaj Dhople , Georgios B. Giannakis

Model-driven software development is a promising way to cope with the complexity of system integration in advanced robotics, as it already demonstrated its benefits in domains with comparably challenging system integration requirements.…

Robotics · Computer Science 2013-02-27 Arne Nordmann , Sebastian Wrede

Optimal power flow (OPF) problem is a class of large-scale and non-convex optimization problem. Various algorithms are proposed to solve the challenging OPF problem. Recent studies show that semidefinite programming (SDP) can either provide…

Optimization and Control · Mathematics 2018-02-09 Chin-Yao Chang , Wei Zhang

SfePy (Simple finite elements in Python) is a software for solving various kinds of problems described by partial differential equations in one, two or three spatial dimensions by the finite element method. Its source code is mostly (85\%)…

Mathematical Software · Computer Science 2019-08-20 Robert Cimrman , Vladimír Lukeš , Eduard Rohan

Achieving high performance for GPU codes requires developers to have significant knowledge in parallel programming and GPU architectures, and in-depth understanding of the application. This combination makes it challenging to find…

Software Engineering · Computer Science 2022-08-29 Jhe-Yu Liou , Muaaz Awan , Steven Hofmeyr , Stephanie Forrest , Carole-Jean Wu

In this work, we propose an Operator Learning (OpL) method for solving boundary value inverse problems in partial differential equations (PDEs), focusing on recovering diffusion coefficients from boundary data. Inspired by the classical…

Numerical Analysis · Mathematics 2024-11-11 Yangyang Zheng , Huayi Wei , Shuhao Cao , Ruchi Guo

We present a hybrid a-priori/a-posteriori goal oriented error estimator for a combination of dynamic iteration-based solution of ordinary differential equations discretized by finite elements. Our novel error estimator combines estimates…

Numerical Analysis · Mathematics 2026-02-13 Erik Weyl , Andreas Bartel , Manuel Schaller

Software engineers are faced with the challenge of creating control algorithms for increasingly complex dynamic systems, such as the management of communication network topologies. To support rapid prototyping for these increasingly complex…

Software Engineering · Computer Science 2025-03-27 Maximilian Kratz , Sebastian Ehmes , Philipp Maximilian Menzel , Andy Schürr

This paper proposes a method for designing diagonal preconditioners for a preconditioned primal-dual splitting method (P-PDS), an efficient algorithm that solves nonsmooth convex optimization problems. To speed up the convergence of P-PDS,…

Signal Processing · Electrical Eng. & Systems 2023-07-25 Kazuki Naganuma , Shunsuke Ono

Simulations of physical phenomena are essential to the expedient design of precision components in aerospace and other high-tech industries. These phenomena are often described by mathematical models involving partial differential equations…

Computational Physics · Physics 2017-01-05 Daniel Magee , Kyle E Niemeyer

Domain-specific languages (DSLs) play an increasingly important role in the generation of high performing software. They allow the user to exploit specific knowledge encoded in the constructs for the generation of code adapted to a…

Mathematical Software · Computer Science 2019-05-08 Pramod Kumbhar , Omar Awile , Liam Keegan , Jorge Blanco Alonso , James King , Michael Hines , Felix Schürmann

This paper presents exact Semi-Definite Program (SDP) reformulations for infinite-dimensional moment optimization problems involving a new class of piecewise Sum-of-Squares (SOS)-convex functions and projected spectrahedral support sets.…

Optimization and Control · Mathematics 2024-07-03 Queenie Yingkun Huang , Vaithilingam Jeyakumar , Guoyin Li

Continuous scaling of the VLSI system leaves a great challenge on manufacturing and optical proximity correction (OPC) is widely applied in conventional design flow for manufacturability optimization. Traditional techniques conducted OPC by…

Hardware Architecture · Computer Science 2020-11-17 Guojin Chen , Wanli Chen , Yuzhe Ma , Haoyu Yang , Bei Yu

Semidefinite programs (SDPs) are a fundamental class of optimization problems with important recent applications in approximation algorithms, quantum complexity, robust learning, algorithmic rounding, and adversarial deep learning. This…

Data Structures and Algorithms · Computer Science 2020-09-23 Haotian Jiang , Tarun Kathuria , Yin Tat Lee , Swati Padmanabhan , Zhao Song

DSLs and hardware accelerators have proven to be very effective in optimizing computationally expensive workloads. In this paper, we propose a solution to the challenge of manually rewriting legacy or unoptimized code in domain-specific…

Programming Languages · Computer Science 2023-08-15 Yuto Nishida , Sahil Bhatia , Shadaj Laddad , Hasan Genc , Yakun Sophia Shao , Alvin Cheung

We propose a framework for training neural networks that are coupled with partial differential equations (PDEs) in a parallel computing environment. Unlike most distributed computing frameworks for deep neural networks, our focus is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-25 Kailai Xu , Weiqiang Zhu , Eric Darve

Recent work has shown how to embed differentiable optimization problems (that is, problems whose solutions can be backpropagated through) as layers within deep learning architectures. This method provides a useful inductive bias for certain…

Machine Learning · Computer Science 2019-10-29 Akshay Agrawal , Brandon Amos , Shane Barratt , Stephen Boyd , Steven Diamond , Zico Kolter

Open-set panoptic segmentation (OPS) problem is a new research direction aiming to perform segmentation for both \known classes and \unknown classes, i.e., the objects ("things") that are never annotated in the training set. The main…

Computer Vision and Pattern Recognition · Computer Science 2022-08-04 Hai-Ming Xu , Hao Chen , Lingqiao Liu , Yufei Yin

Writing programs for heterogeneous platforms optimized for high performance is hard since this requires the code to be tuned at a low level with architecture-specific optimizations that are most times based on fundamentally differing…

Computer Vision and Pattern Recognition · Computer Science 2020-08-31 M. Akif Özkan , Burak Ok , Bo Qiao , Jürgen Teich , Frank Hannig

Direct Multisearch (DMS) is a Derivative-free Optimization class of algorithms suited for computing approximations to the complete Pareto front of a given Multiobjective Optimization problem. It has a well-supported convergence analysis and…

Optimization and Control · Mathematics 2021-05-10 S. Tavares , C. P. Brás , A. L. Custódio , V. Duarte , P. Medeiros