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Mode-based model-reduction is used to reduce the degrees of freedom of high dimensional systems, often by describing the system state by a linear combination of spatial modes. Transport dominated phenomena, ubiquitous in technical and…

Numerical Analysis · Mathematics 2020-02-28 Julius Reiss

We study the problem of minimizing the sum of potentially non-differentiable convex cost functions with partially overlapping dependences in an asynchronous manner, where communication in the network is not coordinated. We study the…

Optimization and Control · Mathematics 2021-02-17 Yankai Lin , Iman Shames , Dragan Nesic

Interconnectivity, fault tolerance, and dynamic evolution of the circuitry are long sought-after objectives of bio-inspired engineering. Here, we propose dendritic transistors composed of organic semiconductors as building blocks for…

Emerging Technologies · Computer Science 2021-06-14 Matteo Cucchi , Hans Kleemann , Hsin Tseng , Alexander Lee , Karl Leo

We describe a methodology for designing efficient parallel and distributed scientific software. This methodology utilizes sequences of mechanizable algebra--based optimizing transformations. In this study, we apply our methodology to the…

Software Engineering · Computer Science 2008-11-18 Harry B. Hunt , Lenore R. Mullin , Daniel J. Rosenkrantz , James E. Raynolds

Neuromorphic engineering is a rapidly developing field that aims to take inspiration from the biological organization of neural systems to develop novel technology for computing, sensing, and actuating. The unique properties of such systems…

Systems and Control · Electrical Eng. & Systems 2022-01-26 Luka Ribar , Rodolphe Sepulchre

Pipelining is a design technique for logical circuits that allows for higher throughput than circuits in which multiple computations are fed through the system one after the other. It allows for much faster computation than architectures in…

Computational Physics · Physics 2024-10-28 Ian Seet , Thomas E. Ouldridge , Jonathan P. K. Doye

A central building block of many quantum algorithms is the diagonalization of Pauli operators. Although it is always possible to construct a quantum circuit that simultaneously diagonalizes a given set of commuting Pauli operators, only…

A lot of attention has been paid to the investigation of the algebraic properties of linear codes. In most cases, this investigation involves the determination of required code automorphisms, which are useful for decoders, such as the…

Combinatorics · Mathematics 2024-06-04 Ma Jicheng , Yan Guiying

We propose a dynamic programming algorithm that constructs delay-optimized circuits for alternating And-Or paths with prescribed input arrival times. Our algorithm fulfills best-known approximation guarantees and empirically outperforms…

Data Structures and Algorithms · Computer Science 2020-09-21 Ulrich Brenner , Anna Hermann

Model Predictive Control (MPC) is a computationally demanding control technique that allows dealing with multiple-input and multiple-output systems, while handling constraints in a systematic way. The necessity of solving an optimization…

Systems and Control · Computer Science 2021-12-16 Bulat Khusainov , Eric C. Kerrigan , George A. Constantinides

We present a novel approach for designing complex approximate arithmetic circuits that trade correctness for power consumption and play important role in many energy-aware applications. Our approach integrates in a unique way formal methods…

Neural and Evolutionary Computing · Computer Science 2020-07-03 Milan Ceska , Jiri Matyas , Vojtech Mrazek , Lukas Sekanina , Zdenek Vasicek , Tomas Vojnar

Aside from recent advances in artificial intelligence (AI) models, specialized AI hardware is crucial to address large volumes of unstructured and dynamic data. Hardware-based AI, built on conventional complementary metal-oxidesemiconductor…

U-Net has become one of the state-of-the-art deep learning-based approaches for modern computer vision tasks such as semantic segmentation, super resolution, image denoising, and inpainting. Previous extensions of U-Net have focused mainly…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Tiange Xiang , Chaoyi Zhang , Dongnan Liu , Yang Song , Heng Huang , Weidong Cai

Iterative methods for solving large sparse systems of linear equations are widely used in many HPC applications. Extreme scaling of these methods can be difficult, however, since global communication to form dot products is typically…

Mathematical Software · Computer Science 2020-09-29 Nick Brown , J. Mark Bull , Iain Bethune

This paper investigates the transmit beamforming design for multiple-input multiple-output systems to support both multi-target localization and multi-user communications. To enhance the target localization performance, we derive the…

Signal Processing · Electrical Eng. & Systems 2025-01-14 Bo Tang , Da Li , Wenjun Wu , Astha Saini , Prabhu Babu , Petre Stoica

Classical approaches like process algebras or labelled transition systems deal with static composition to model non-trivial concurrent or distributed systems; this is not sufficient for systems with dynamic architecture and with variable…

Software Engineering · Computer Science 2011-12-30 Christian Attiogbé

In this work, an optimization-based inverse design method is provided for multi-input multi-output (MIMO) metastructured devices. Typically, optimization-based methods use a full-wave solver in conjunction with an optimization routine to…

Applied Physics · Physics 2024-10-28 Luke Szymanski , Gurkan Gok , Anthony Grbic

Over a decade ago, it was demonstrated that quantum computing has the potential to revolutionize numerical linear algebra by enabling algorithms with complexity superior to what is classically achievable, e.g., the seminal HHL algorithm for…

Quantum Physics · Physics 2025-11-11 Liron Mor Yosef , Haim Avron

We extend and apply a recently developed approach to the study of dynamic bifurcations in PDEs based on the geometric blow-up method. We show that this approach, which has so far only been applied to study a dynamic Turing bifurcation in a…

Dynamical Systems · Mathematics 2023-02-14 Samuel Jelbart , Christian Kuehn

In Evolutionary Robotics, evolutionary algorithms are used to co-optimize morphology and control. However, co-optimizing leads to different challenges: How do you optimize a controller for a body that often changes its number of inputs and…

Neural and Evolutionary Computing · Computer Science 2022-06-28 Mia-Katrin Kvalsund , Kyrre Glette , Frank Veenstra
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