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The ability to differentiate through optimization problems has unlocked numerous applications, from optimization-based layers in machine learning models to complex design problems formulated as bilevel programs. It has been shown that…

Optimization and Control · Mathematics 2024-03-05 Lucas Fuentes Valenzuela , Robin Brown , Marco Pavone

In this paper we propose some very promissing results in interval arithmetics which permit to build well-defined arithmetics including distributivity of multiplication and division according addition and substraction. Thus, it allows to…

Numerical Analysis · Computer Science 2011-07-20 Nicolas Goze , Michel Goze , Abdel Kenoufi , Elisabeth Remm

We describe the design, implementation and performance of the new hybrid parallelization scheme in our Monte Carlo radiative transfer code SKIRT, which has been used extensively for modeling the continuum radiation of dusty astrophysical…

Instrumentation and Methods for Astrophysics · Physics 2017-05-16 Sam Verstocken , Dries Van De Putte , Peter Camps , Maarten Baes

We present the derivation, implementation, and analysis of a multiresolution adaptive grid framework for numerical simulations on octree-based 3D block-structured collocated grids with distributed computational architectures. Our approach…

Numerical Analysis · Mathematics 2025-04-01 Thomas Gillis , Wim M. van Rees

We study preconditioned gradient-based optimization methods where the preconditioning matrix has block-diagonal form. Such a structural constraint comes with the advantage that the update computation is block-separable and can be…

Machine Learning · Computer Science 2020-12-08 Celestine Mendler-Dünner , Aurelien Lucchi

Mode division multiplexing (MDM) in optical fibers enables multichannel capabilities for various applications, including data transmission, quantum networks, imaging, and sensing. However, MDM optical fiber systems, usually necessities…

Optics · Physics 2023-11-10 Kaihang Lu , Zengqi Chen , Hao Chen , Wu Zhou , Zunyue Zhang , Hon Ki Tsang , Yeyu Tong

The use of large-scale machine learning methods is becoming ubiquitous in many applications ranging from business intelligence to self-driving cars. These methods require a complex computation pipeline consisting of various types of…

Databases · Computer Science 2021-11-10 Yongyang Yu , Mingjie Tang , Walid G. Aref

This paper studies distributed resource block (RB) allocation in wideband orthogonal frequency-division multiplexing (OFDM) cell-free systems. We propose a novel distributed sequential algorithm and its two variants, which optimize RB…

Signal Processing · Electrical Eng. & Systems 2025-03-11 Yang Ma , Shengqian Han , Chenyang Yang

Several novel mixed-integer linear and bilinear formulations are proposed for the optimum communication spanning tree problem. They implement the distance-based approach: graph distances are directly modeled by continuous, integral, or…

Optimization and Control · Mathematics 2021-01-12 Alexander Veremyev , Mikhail Goubko

The parallel and distributed processing are becoming de facto industry standard, and a large part of the current research is targeted on how to make computing scalable and distributed, dynamically, without allocating the resources on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-10 Rajendra Purohit , K R Chowdhary , S D Purohit

As model sizes in machine learning continue to scale, distributed training is necessary to accommodate model weights within each device and to reduce training time. However, this comes with the expense of increased communication overhead…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 William Won , Saeed Rashidi , Sudarshan Srinivasan , Tushar Krishna

Structured Adaptive Mesh Refinement (Structured AMR) enables simulations to adapt the domain resolution to save computation and storage, and has become one of the dominant data representations used by scientific simulations; however,…

Graphics · Computer Science 2020-09-08 Ingo Wald , Stefan Zellmann , Will Usher , Nate Morrical , Ulrich Lang , Valerio Pascucci

The PRRT protocol enables applications with strict performance requirements such as Cyber-Physical Systems, as it provides predictably low, end-to-end delay via cross-layer pacing and timely error correction via Hybrid ARQ (HARQ). However,…

Information Theory · Computer Science 2022-02-22 Pablo Gil Pereira , Thorsten Herfet

We show how the computer algebra system OSCAR can be used to obtain topologically correct or visually pleasing drawings of real plane algebraic curves.

Algebraic Geometry · Mathematics 2026-03-16 Anne Frühbis-Krüger , Michael Joswig , Lars Kastner

We consider a spectral sharing problem in which a statistical (or widely distributed) multiple-input multiple-output (MIMO) radar and an in-band full-duplex (IBFD) multi-user MIMO (MU-MIMO) communications system concurrently operate within…

Signal Processing · Electrical Eng. & Systems 2024-03-29 Jiawei Liu , Kumar Vijay Mishra , Mohammad Saquib

The performance of machine learning and pattern recognition algorithms generally depends on data representation. That is why, much of the current effort in performing machine learning algorithms goes into the design of preprocessing…

Machine Learning · Computer Science 2025-10-28 Fadi Dornaika , Ahmad Khoder , Abdelmalik Moujahid , Wassim Khoder

This paper explores the multi-access distributed computing (MADC) model, a novel distributed computing framework where mapper and reducer nodes are distinct entities. Unlike traditional MapReduce frameworks, MADC leverages coding-theoretic…

Information Theory · Computer Science 2025-08-08 Shanuja Sasi , Onur Günlü

In this paper we represent a new framework for integrated distributed and reliable systems. In the proposed framework we have used three parts to increase Satisfaction and Performance of this framework. At first we analyze previous…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-14 Mehdi Zekriyapanah Gashti

Atomic multicast is a communication primitive used in dependable systems to ensure consistent ordering of messages delivered to a set of replica groups. This primitive enables critical services to integrate replication and sharding (i.e.,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-10 Lorenzo Martignetti , Eliã Batista , Gianpaolo Cugola , Fernando Pedone

We consider the problem of distributionally robust multimodal machine learning. Existing approaches often rely on merging modalities on the feature level (early fusion) or heuristic uncertainty modeling, which downplays modality-aware…

Machine Learning · Computer Science 2025-11-11 Peilin Yang , Yu Ma