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This paper introduces a novel distributed optimization technique for networked systems, which removes the dependency on specific parameter choices, notably the learning rate. Traditional parameter selection strategies in distributed…

Optimization and Control · Mathematics 2024-04-23 Rodrigo Aldana-López , Alessandro Macchelli , Giuseppe Notarstefano , Rosario Aragüés , Carlos Sagüés

We study the solution of symmetric positive-definite linear systems by way of families of full- and limited-memory methods. Our contributions are threefold. We first derive new relationships between the conjugate-gradient method (CG) and…

Optimization and Control · Mathematics 2026-05-25 Johann Bourhis , Oihan Cordelier , Jean-Pierre Dussault , Oussama Mouhtal , Dominique Orban

Generative models produce realistic objects in many domains, including text, image, video, and audio synthesis. Most popular models---Generative Adversarial Networks (GANs) and Variational Autoencoders (VAEs)---usually employ a standard…

Machine Learning · Computer Science 2019-10-30 Maksim Kuznetsov , Daniil Polykovskiy , Dmitry Vetrov , Alexander Zhebrak

Phase-field fracture models lead to variational problems that can be written as a coupled variational equality and inequality system. Numerically, such problems can be treated with Galerkin finite elements and primal-dual active set…

Numerical Analysis · Mathematics 2020-05-04 Daniel Jodlbauer , Ulrich Langer , Thomas Wick

Oblivious RAM (ORAM) is a well-researched primitive to hide the memory access pattern of a RAM computation; it has a variety of applications in trusted computing, outsourced storage, and multiparty computation. In this paper, we study the…

Data Structures and Algorithms · Computer Science 2024-12-16 Thore Thießen , Jan Vahrenhold

Challenges in multi-fidelity modeling relate to accuracy, uncertainty estimation and high-dimensionality. A novel additive structure is introduced in which the highest fidelity solution is written as a sum of the lowest fidelity solution…

Machine Learning · Computer Science 2021-04-09 Wei W. Xing , Akeel A. Shah , Peng Wang , Shandian Zhe Qian Fu , Robert. M. Kirby

Discontinuous Galerkin (DG) methods are promising high order discretizations for unsteady compressible flows. Here, we focus on Numerical Weather Prediction (NWP). These flows are characterized by a fine resolution in $z$-direction and low…

Numerical Analysis · Mathematics 2025-06-02 Philipp Birken , Andreas Dedner , Robert Klöfkorn

Score-based generative models (SGMs) are powerful tools to sample from complex data distributions. Their underlying idea is to (i) run a forward process for time $T_1$ by adding noise to the data, (ii) estimate its score function, and (iii)…

Machine Learning · Computer Science 2024-06-06 Francesco Pedrotti , Jan Maas , Marco Mondelli

We introduce a new Bayesian network (BN) scoring metric called the Global Uniform (GU) metric. This metric is based on a particular type of default parameter prior. Such priors may be useful when a BN developer is not willing or able to…

Artificial Intelligence · Computer Science 2013-01-07 Mehmet Kayaalp , Gregory F. Cooper

Parallel implementations of distributed global optimization (DGO) [13] on MP-1 and NCUBE parallel computers revealed an approximate O(n) increase in the performance of this algorithm. Therefore, the implementation of the DGO on parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-21 Homayoun Valafar , Okan K. Ersoy , Farmaraz Valafar

Due to new government legislation, customers' environmental concerns and continuously rising cost of energy, energy efficiency is becoming an essential parameter of industrial manufacturing processes in recent years. Most efforts…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-27 Jia Luo , Shigeru Fujimura , Didier El Baz

We propose a parametric family of measures of fairness in allocations of TU-cooperative games. Their definition is based on generalized Renyi Entropy, is related to the Cowell-Kuga generalized entropy indices in welfare economics, and aims…

Computer Science and Game Theory · Computer Science 2012-08-02 Cosmin Bonchis , Gabriel Istrate

In this paper we propose an explicit two-level conservative scheme based on a TE/TM like splitting of the field components in time. Its dispersion properties are adjusted to accelerator problems. It is simpler and faster than the implicit…

Computational Physics · Physics 2009-04-27 M. Dohlus , I. Zagorodnov

SRAM-based FPGAs are increasingly popular in the aerospace industry due to their field programmability and low cost. However, they suffer from cosmic radiation induced Single Event Upsets (SEUs). In safety-critical applications, the…

Performance · Computer Science 2017-03-07 Khaza Anuarul Hoque , Otmane Ait Mohamed , Yvon Savaria

Processing-using-DRAM (PUD) is a paradigm where the analog operational properties of DRAM are used to perform bulk logic operations. While PUD promises high throughput at low energy and area cost, we uncover three limitations of existing…

We present the use of a hybrid static/dynamic scheduling strategy of the task dependency graph for direct methods used in dense numerical linear algebra. This strategy provides a balance of data locality, load balance, and low dequeue…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-10-13 Simplice Donfack , Laura Grigori , William D. Gropp , Vivek Kale

In this paper, we present a novel Newton-based extremum seeking controller for the solution of multivariable model-free optimization problems in static maps. Unlike existing asymptotic and fixed-time results in the literature, we present a…

Optimization and Control · Mathematics 2020-12-25 Jorge I. Poveda , Miroslav Krstic

A quantum thermal machine is an open quantum system that enables the conversion between heat and work at the micro or nano-scale. Optimally controlling such out-of-equilibrium systems is a crucial yet challenging task with applications to…

Quantum Physics · Physics 2023-11-07 Paolo Andrea Erdman , Frank Noé

Graphics Processing Units (GPUs) are high performance co-processors originally intended to improve the use and quality of computer graphics applications. Once, researchers and practitioners noticed the potential of using GPU for general…

Numerical Analysis · Computer Science 2016-07-12 K. Parand , Saeed Zafarvahedian , Sayyed A. Hossayni

Gradient-free optimizers allow for tackling problems regardless of the smoothness or differentiability of their objective function, but they require many more iterations to converge when compared to gradient-based algorithms. This has made…

Machine Learning · Computer Science 2024-09-24 Gawel Kus , Miguel A. Bessa