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We introduce Cautious Weight Decay (CWD), a one-line, optimizer-agnostic modification that applies weight decay only to parameter coordinates whose signs align with the optimizer update. Unlike standard decoupled decay, which implicitly…

机器学习 · 计算机科学 2026-02-25 Lizhang Chen , Jonathan Li , Kaizhao Liang , Baiyu Su , Cong Xie , Nuo Wang Pierse , Chen Liang , Ni Lao , Qiang Liu

We consider parametrized linear-quadratic optimal control problems and provide their online-efficient solutions by combining greedy reduced basis methods and machine learning algorithms. To this end, we first extend the greedy control…

最优化与控制 · 数学 2023-07-31 Hendrik Kleikamp , Martin Lazar , Cesare Molinari

Computed Tomography (CT) using synchrotron radiation is a powerful technique that, compared to lab-CT techniques, boosts high spatial and temporal resolution while also providing access to a range of contrast-formation mechanisms. The…

图像与视频处理 · 电气工程与系统科学 2025-01-20 Jiayang Shi , Daniel M. Pelt , K. Joost Batenburg

In this work we propose a highly optimized version of a simulated annealing (SA) algorithm adapted to the more recently developed Graphic Processor Units (GPUs). The programming has been carried out with CUDA toolkit, specially designed for…

分布式、并行与集群计算 · 计算机科学 2024-08-02 A. M. Ferreiro , J. A. García , J. G. López-Salas , C. Vázquez

This paper details an extensible OpenCL framework that allows Stan to utilize heterogeneous compute devices. It includes GPU-optimized routines for the Cholesky decomposition, its derivative, other matrix algebra primitives and some…

数学软件 · 计算机科学 2020-05-19 Rok Češnovar , Steve Bronder , Davor Sluga , Jure Demšar , Tadej Ciglarič , Sean Talts , Erik Štrumbelj

In this study, the orthogonalization process for different inner products is applied to pairwise comparisons. Properties of consistent approximations of a given inconsistent pairwise comparisons matrix are examined. A method of a derivation…

其他计算机科学 · 计算机科学 2020-02-18 W. W. Koczkodaj , R. Smarzewski , J. Szybowski

The rapid expansion of Transformer-based large language models has dramatically increased the need for high-performance GPUs. As a result, there is growing demand for fast, accurate, and widely generalizable GPU performance models to…

Fully connected layers are a primary source of memory and computational overhead in deep neural networks due to their dense, often redundant parameterization. While various compression techniques exist, they frequently introduce complex…

机器学习 · 计算机科学 2025-12-16 Maksymilian Szorc

We introduce a framework to study the transformation of problems with manifold constraints into unconstrained problems through parametrizations in terms of a Euclidean space. We call these parametrizations "trivializations". We prove…

机器学习 · 计算机科学 2019-10-28 Mario Lezcano-Casado

It is a challenging task to train large DNN models on sophisticated GPU platforms with diversified interconnect capabilities. Recently, pipelined training has been proposed as an effective approach for improving device utilization. However,…

分布式、并行与集群计算 · 计算机科学 2020-07-03 Shiqing Fan , Yi Rong , Chen Meng , Zongyan Cao , Siyu Wang , Zhen Zheng , Chuan Wu , Guoping Long , Jun Yang , Lixue Xia , Lansong Diao , Xiaoyong Liu , Wei Lin

The compressed sensing (CS) framework leverages the sparsity of MR images to reconstruct from undersampled acquisitions. CS reconstructions involve one or more regularization parameters that weigh sparsity in transform domains against…

Techniques of matrix completion aim to impute a large portion of missing entries in a data matrix through a small portion of observed ones. In practice including collaborative filtering, prior information and special structures are usually…

统计理论 · 数学 2022-03-09 Ji Chen , Xiaodong Li , Zongming Ma

This paper presents a technique for symmetry reduction that adaptively assigns a prefix of variables in a system of constraints so that the generated prefix-assignments are pairwise nonisomorphic under the action of the symmetry group of…

计算机科学中的逻辑 · 计算机科学 2018-09-11 Tommi Junttila , Matti Karppa , Petteri Kaski , Jukka Kohonen

Sparse matrix-vector multiplication (SpMV) operations are commonly used in various scientific applications. The performance of the SpMV operation often depends on exploiting regularity patterns in the matrix. Various representations have…

分布式、并行与集群计算 · 计算机科学 2019-07-25 Karan Aggarwal , Uday Bondhugula

In recent years, the CNNs have achieved great successes in the image processing tasks, e.g., image recognition and object detection. Unfortunately, traditional CNN's classification is found to be easily misled by increasingly complex image…

分布式、并行与集群计算 · 计算机科学 2019-11-12 Xingyao Zhang , Shuaiwen Leon Song , Chenhao Xie , Jing Wang , Weigong Zhang , Xin Fu

Meta-learning, or "learning to learn," aims to enable models to quickly adapt to new tasks with minimal data. While traditional methods like Model-Agnostic Meta-Learning (MAML) optimize parameters in Euclidean space, they often struggle to…

机器学习 · 计算机科学 2025-03-17 JuneYoung Park , YuMi Lee , Tae-Joon Kim , Jang-Hwan Choi

We develop a novel parallel resampling algorithm for fully parallelized particle filters, which is designed with GPUs (graphics processing units) or similar parallel computing devices in mind. With our new algorithm, a full cycle of…

统计计算 · 统计学 2016-08-17 Kenichiro McAlinn , Teruo Nakatsuma

We propose a unified Transformer-based architecture for wireless signal processing tasks, offering a low-latency, task-adaptive alternative to conventional receiver pipelines. Unlike traditional modular designs, our model integrates channel…

信号处理 · 电气工程与系统科学 2025-09-11 Yuto Kawai , Rajeev Koodli

Sparse parametric models are of great interest in statistical learning and are often analyzed by means of regularized estimators. Pathwise methods allow to efficiently compute the full solution path for penalized estimators, for any…

机器学习 · 统计学 2024-12-06 Alessandro De Gregorio , Francesco Iafrate

Analysis of processing time and similarity of images generated between CPU and GPU architectures and sequential and parallel programming. For image processing a computer with AMD FX-8350 processor and an Nvidia GTX 960 Maxwell GPU was used,…

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