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This article presents a fast solver for the dense "frontal" matrices that arise from the multifrontal sparse elimination process of 3D elliptic PDEs. The solver relies on the fact that these matrices can be efficiently represented as a…

数值分析 · 计算机科学 2015-12-08 Amirhossein Aminfar , Sivaram Ambikasaran , Eric Darve

Recently, deep convolutional neural network methods have achieved an excellent performance in image superresolution (SR), but they can not be easily applied to embedded devices due to large memory cost. To solve this problem, we propose a…

图像与视频处理 · 电气工程与系统科学 2021-06-15 Huapeng Wu , Jie Gui , Jun Zhang , James T. Kwok , Zhihui Wei

A high-performance gas kinetic solver using multi-level parallelization is developed to enable pore-scale simulations of rarefied flows in porous media. The Boltzmann model equation is solved by the discrete velocity method with an…

计算物理 · 物理学 2017-12-05 Minh Tuan Ho , Lianhua Zhu , Lei Wu , Peng Wang , Zhaoli Guo , Zhi-Hui Li , Yonghao Zhang

Solving inverse problems and achieving statistical rigour in landscape evolution models requires running many model realizations. Parallel computation is necessary to achieve this in a reasonable time. However, no previous algorithm is…

计算工程、金融与科学 · 计算机科学 2019-01-23 Richard Barnes

Many contrastive representation learning methods learn a single global representation of an entire image. However, dense contrastive representation learning methods such as DenseCL (Wang et al., 2021) can learn better representations for…

计算机视觉与模式识别 · 计算机科学 2023-01-12 Berk Iskender , Zhenlin Xu , Simon Kornblith , En-Hung Chu , Maryam Khademi

Fluid models provide a tractable approach to approximate multiclass processing networks. This tractability is a due to the fact that optimal control for such models is a solution of a Separated Continuous Linear Programming (SCLP) problem.…

最优化与控制 · 数学 2024-12-03 Evgeny Shindin , Roi Ben Gigi , Odellia Boni

We propose an approach based on quadratic approximations for solving general Mixed-Integer Nonlinear Programming (MINLP) problems. Specifically, our approach entails the global approximation of the epigraphs of constraint functions by means…

最优化与控制 · 数学 2025-03-24 Adrian Göß , Robert Burlacu , Alexander Martin

Autoregressive large language models (LLMs) deliver strong performance but require inherently sequential decoding, leading to high inference latency and poor GPU utilization. Speculative decoding mitigates this bottleneck by using a fast…

计算与语言 · 计算机科学 2026-05-29 Jian Chen , Yesheng Liang , Zhijian Liu

Solving large, sparse linear systems is a fundamental workload in scientific computing and engineering simulations, often dominating runtime and energy consumption in high-performance computing (HPC) applications. In this work, we explore…

计算工程、金融与科学 · 计算机科学 2026-04-30 Dan Gluck , Yotam Mimran , Andrey Karenskih , Talya Vaknin , Omri Wolf , Ruti Ben-Shlomi , Johannes Gebert

This paper studies the nucleus decomposition problem, which has been shown to be useful in finding dense substructures in graphs. We present a novel parallel algorithm that is efficient both in theory and in practice. Our algorithm achieves…

分布式、并行与集群计算 · 计算机科学 2022-08-12 Jessica Shi , Laxman Dhulipala , Julian Shun

The success of modern parallel paradigms such as MapReduce, Hadoop, or Spark, has attracted a significant attention to the Massively Parallel Computation (MPC) model over the past few years, especially on graph problems. In this work, we…

分布式、并行与集群计算 · 计算机科学 2019-05-07 Soheil Behnezhad , Mahsa Derakhshan , MohammadTaghi Hajiaghayi , Richard M. Karp

Nonlinear reformulations of the spectral clustering method have gained a lot of recent attention due to their increased numerical benefits and their solid mathematical background. However, the estimation of the multiple nonlinear…

分布式、并行与集群计算 · 计算机科学 2026-05-27 Dimosthenis Pasadakis , Olaf Schenk , Verner Vlacic , Albert-Jan Yzelman

Point-based 3D point cloud models employ computation and memory intensive mapping functions alongside NN layers for classification/segmentation, and are executed on server-grade GPUs. The sparse, and unstructured nature of 3D point cloud…

分布式、并行与集群计算 · 计算机科学 2025-12-30 Amur Saqib Pal , Muhammad Mohsin Ghaffar , Faisal Shafait , Christian Weis , Norbert Wehn

Parallel Speculative Decoding (PSD) accelerates traditional Speculative Decoding (SD) by overlapping draft generation with verification. However, it remains hampered by two fundamental challenges: (1) a theoretical speedup ceiling dictated…

计算与语言 · 计算机科学 2026-04-15 Yuhao Shen , Tianyu Liu , Junyi Shen , Jinyang Wu , Quan Kong , Li Huan , Cong Wang

Projected Gradient Descent denotes a class of iterative methods for solving optimization programs. Its applicability to convex optimization programs has gained significant popularity for its intuitive implementation that involves only…

最优化与控制 · 数学 2016-10-24 Giampaolo Torrisi , Sergio Grammatico , Roy S. Smith , Manfred Morari

Maximum a posteriori (MAP) inference is an important task for graphical models. Due to complex dependencies among variables in realistic model, finding an exact solution for MAP inference is often intractable. Thus, many approximation…

机器学习 · 计算机科学 2020-01-22 Baoyuan Wu , Li Shen , Tong Zhang , Bernard Ghanem

Image deblurring task is an ill-posed one, where exists infinite feasible solutions for blurry image. Modern deep learning approaches usually discard the learning of blur kernels and directly employ end-to-end supervised learning. Popular…

计算机视觉与模式识别 · 计算机科学 2022-08-30 Sidun Liu , Peng Qiao , Yong Dou

Multilook coherent imaging is a widely used technique in applications such as digital holography, ultrasound imaging, and synthetic aperture radar. A central challenge in these systems is the presence of multiplicative noise, commonly known…

机器学习 · 统计学 2025-05-30 Xi Chen , Soham Jana , Christopher A. Metzler , Arian Maleki , Shirin Jalali

In this paper, we study multistage stochastic mixed-integer nonlinear programs (MS-MINLP). This general class of problems encompasses, as important special cases, multistage stochastic convex optimization with non-Lipschitzian value…

最优化与控制 · 数学 2022-05-23 Shixuan Zhang , Xu Andy Sun

Many imaging science tasks can be modeled as a discrete linear inverse problem. Solving linear inverse problems is often challenging, with ill-conditioned operators and potentially non-unique solutions. Embedding prior knowledge, such as…

数值分析 · 数学 2023-12-07 Elizabeth Newman , Jack Michael Solomon , Matthias Chung
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