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In this paper, a practicable simulation-free model order reduction method by nonlinear moment matching is developed. Based on the steady-state interpretation of linear moment matching, we comprehensively explain the extension of this…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Maria Cruz Varona , Raphael Gebhart , Julian Suk , Boris Lohmann

Second-order conic optimization (SOCO) can be considered as a special case of semidefinite optimization (SDO). In the literature it has been advised that a SOCO problem can be embedded in an SDO problem using the arrow-head matrix…

Optimization and Control · Mathematics 2023-01-31 Pouya Sampourmahani , Mohammadhossein Mohammadisiahroudi , Tamás Terlaky

Nonlinear dynamic models are widely used for characterizing functional forms of processes that govern complex biological pathway systems. Over the past decade, validation and further development of these models became possible due to data…

Methodology · Statistics 2019-08-13 Itai Dattner , Shota Gugushvili , Harold Ship , Eberhard O. Voit

Network-on-Chip (NoC) is currently the paradigm of choice to interconnect the different components of System-on-Chips (SoCs) or Chip Multiprocessors (CMPs). As the levels of integration continue to grow, however, current NoCs face…

Emerging Technologies · Computer Science 2019-06-14 Sergi Abadal , Eduard Alarcón

Semidefinite programs (SDPs) -- some of the most useful and versatile optimization problems of the last few decades -- are often pathological: the optimal values of the primal and dual problems may differ and may not be attained. Such SDPs…

Optimization and Control · Mathematics 2019-10-23 Gabor Pataki

When modeling scientific and industrial problems, geometries are typically modeled by explicit boundary representations obtained from computer-aided design software. Unfitted (also known as embedded or immersed) finite element methods offer…

Computational Engineering, Finance, and Science · Computer Science 2024-05-24 Pere A. Martorell , Santiago Badia

Semidefinite programs (SDPs) are a framework for exact or approximate optimization that have widespread application in quantum information theory. We introduce a new method for using reductions to construct integrality gaps for SDPs. These…

Quantum Physics · Physics 2019-03-18 Aram W. Harrow , Anand Natarajan , Xiaodi Wu

On-chip communication infrastructure is a central component of modern systems-on-chip (SoCs), and it continues to gain importance as the number of cores, the heterogeneity of components, and the on-chip and off-chip bandwidth continue to…

Hardware Architecture · Computer Science 2021-11-12 Andreas Kurth , Wolfgang Rönninger , Thomas Benz , Matheus Cavalcante , Fabian Schuiki , Florian Zaruba , Luca Benini

Large-scale Markov decision processes (MDPs) require planning algorithms with runtime independent of the number of states of the MDP. We consider the planning problem in MDPs using linear value function approximation with only weak…

Machine Learning · Computer Science 2020-07-14 Roshan Shariff , Csaba Szepesvári

We propose a homogeneous primal-dual interior-point method to solve sum-of-squares optimization problems by combining non-symmetric conic optimization techniques and polynomial interpolation. The approach optimizes directly over the…

Optimization and Control · Mathematics 2018-12-24 Dávid Papp , Sercan Yıldız

Convex optimization methods are employed to optimize a real-time (RT) system-on-chip (SoC) under a variety of physical resource-driven constraints, demonstrated on an industry MPEG2 encoder SoC. The power optimization is compared to…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-22 L. Yavits , A. Morad , R. Ginosar , U. Weiser

Both in electronics and biology, physical implementations of neural networks have severe energy and memory constraints. We propose a hardware-software co-design approach for minimizing the use of memory resources in multi-core neuromorphic…

Neural and Evolutionary Computing · Computer Science 2022-03-02 Vanessa R. C. Leite , Zhe Su , Adrian M. Whatley , Giacomo Indiveri

Recently, a lot of attention has been devoted to finding physically realisable operations that realise as closely as possible certain desired transformations between quantum states, e.g. quantum cloning, teleportation, quantum gates, etc.…

Quantum Physics · Physics 2013-04-25 K. Audenaert , B. De Moor

This paper introduces a new robust interior point method analysis for semidefinite programming (SDP). This new robust analysis can be combined with either logarithmic barrier or hybrid barrier. Under this new framework, we can improve the…

Optimization and Control · Mathematics 2021-11-22 Baihe Huang , Shunhua Jiang , Zhao Song , Runzhou Tao , Ruizhe Zhang

Constrained partially observable Markov decision processes (CPOMDPs) have been used to model various real-world phenomena. However, they are notoriously difficult to solve to optimality, and there exist only a few approximation methods for…

Artificial Intelligence · Computer Science 2023-06-27 Robert K. Helmeczi , Can Kavaklioglu , Mucahit Cevik

We introduce a new model for the task mapping problem to aid in the systematic design of algorithms for heterogeneous systems including, but not limited to, CPUs, GPUs and FPGAs. A special focus is set on the communication between the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-15 Martin Wilhelm , Hanna Geppert , Anna Drewes , Thilo Pionteck

Semidefinite programs (SDPs) are standard convex problems that are frequently found in control and optimization applications. Interior-point methods can solve SDPs in polynomial time up to arbitrary accuracy, but scale poorly as the size of…

Optimization and Control · Mathematics 2022-01-10 Jared Miller , Yang Zheng , Mario Sznaier , Antonis Papachristodoulou

Approximate linear programming (ALP) is an efficient approach to solving large factored Markov decision processes (MDPs). The main idea of the method is to approximate the optimal value function by a set of basis functions and optimize…

Artificial Intelligence · Computer Science 2012-06-18 Branislav Kveton , Milos Hauskrecht

In this paper, we propose a methodology for partitioning and mapping computational intensive applications in reconfigurable hardware blocks of different granularity. A generic hybrid reconfigurable architecture is considered so as the…

Hardware Architecture · Computer Science 2011-11-09 M. D. Galanis , A. Milidonis , G. Theodoridis , D. Soudris , C. E. Goutis

System-on-Chip (SoC) designs are used in every aspect of computing and their optimization is a difficult but essential task in today's competitive market. Data taken from SoCs to achieve this is often characterised by very long concurrent…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-25 Dave McEwan , Jose Nunez-Yanez