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In this study, we introduce a refined method for ascertaining error estimations in numerical simulations of dynamical systems via an innovative application of composition techniques. Our approach involves a dual application of a basic…

综合数学 · 数学 2024-09-18 Ahmad Deeb , Denys Dutykh

We introduce a new method for speeding up the inference of deep neural networks. It is somewhat inspired by the reduced-order modeling techniques for dynamical systems.The cornerstone of the proposed method is the maximum volume algorithm.…

机器学习 · 计算机科学 2020-11-26 Julia Gusak , Talgat Daulbaev , Evgeny Ponomarev , Andrzej Cichocki , Ivan Oseledets

Deep neural networks are typically represented by a much larger number of parameters than shallow models, making them prohibitive for small footprint devices. Recent research shows that there is considerable redundancy in the parameter…

机器学习 · 计算机科学 2016-05-17 Ming Tu , Visar Berisha , Yu Cao , Jae-sun Seo

A comprehensive study of the coded performance of long-haul spectrally-efficient WDM optical fiber transmission systems with different coded modulation decoding structures is presented. Achievable information rates are derived for three…

信息论 · 计算机科学 2024-01-25 Gabriele Liga , Alex Alvarado , Erik Agrell , Polina Bayvel

This letter studies the power allocation and scheduling problem in two-cell distributed interference subtraction system. Through the interference is cancelled at one receiver side and the analysis of objective function monotony, our key…

信息论 · 计算机科学 2017-04-24 Tong Zhang , Xiaofeng Tao , Xiaodong Xu

The record-breaking performance of deep neural networks (DNNs) comes with heavy parameterization, leading to external dynamic random-access memory (DRAM) for storage. The prohibitive energy of DRAM accesses makes it non-trivial to deploy…

机器学习 · 计算机科学 2021-12-23 Xiaohan Chen , Yang Zhao , Yue Wang , Pengfei Xu , Haoran You , Chaojian Li , Yonggan Fu , Yingyan Lin , Zhangyang Wang

A new gradient-based optimization approach by automatically scheduling the learning rate has been proposed recently, which is called Binary Forward Exploration (BFE). The Adaptive version of BFE has also been discussed thereafter. In this…

机器学习 · 计算机科学 2022-09-23 Xin Cao

This paper studies the shallow Ritz method for solving the one-dimensional diffusion problem. It is shown that the shallow Ritz method improves the order of approximation dramatically for non-smooth problems. To realize this optimal or…

数值分析 · 数学 2025-11-25 Zhiqiang Cai , Anastassia Doktorova , Robert D. Falgout , César Herrera

Due to the lack of corresponding analysis on appropriate mapping operator between two grids, high-order two-grid difference algorithms are rarely studied. In this paper, we firstly discuss the boundedness of a local bi-cubic Lagrange…

数值分析 · 数学 2024-08-14 Bingyin Zhang , Hongfei Fu

Multi-task learning for dense prediction has emerged as a pivotal area in computer vision, enabling simultaneous processing of diverse yet interrelated pixel-wise prediction tasks. However, the substantial computational demands of…

计算机视觉与模式识别 · 计算机科学 2024-05-24 Yuzhang Shang , Dan Xu , Gaowen Liu , Ramana Rao Kompella , Yan Yan

Deep Feedforward Neural Networks' (DFNNs) weights estimation relies on the solution of a very large nonconvex optimization problem that may have many local (no global) minimizers, saddle points and large plateaus. As a consequence,…

最优化与控制 · 数学 2020-06-16 Laura Palagi , Ruggiero Seccia

Model-based reinforcement learning is a widely accepted solution for solving excessive sample demands. However, the predictions of the dynamics models are often not accurate enough, and the resulting bias may incur catastrophic decisions…

机器学习 · 计算机科学 2024-05-03 Wanpeng Zhang , Xi Xiao , Yao Yao , Mingzhe Chen , Dijun Luo

In this paper, an operating system scheduling algorithm based on Double DQN (Double Deep Q network) is proposed, and its performance under different task types and system loads is verified by experiments. Compared with the traditional…

机器学习 · 计算机科学 2025-04-01 Xiaoxuan Sun , Yifei Duan , Yingnan Deng , Fan Guo , Guohui Cai , Yuting Peng

An efficient computational approach for optimal reconstruction of binary-type images suitable for models in various applications including biomedical imaging is developed and validated. The methodology includes derivative-free optimization…

最优化与控制 · 数学 2022-09-27 Paul R. Arbic , Vladislav Bukshtynov

Binary Neural Networks (BNNs) can significantly accelerate the inference time of a neural network by replacing its expensive floating-point arithmetic with bitwise operations. Most existing solutions, however, do not fully optimize data…

机器学习 · 计算机科学 2023-04-04 L. Vorabbi , D. Maltoni , S. Santi

The information-based optimal subdata selection (IBOSS) is a computationally efficient method to select informative data points from large data sets through processing full data by columns. However, when the volume of a data set is too…

统计计算 · 统计学 2019-06-27 HaiYing Wang

The so-called block-term decomposition (BTD) tensor model, especially in its rank-$(L_r,L_r,1)$ version, has been recently receiving increasing attention due to its enhanced ability of representing systems and signals that are composed of…

Order diagrams allow human analysts to understand and analyze structural properties of ordered data. While an experienced expert can create easily readable order diagrams, the automatic generation of those remains a hard task. In this work,…

计算几何 · 计算机科学 2021-02-05 Dominik Dürrschnabel , Gerd Stumme

We propose the Block Coordinate Descent Network Simplex (BCDNS) method for solving large-scale discrete Optimal Transport (OT) problems. BCDNS integrates the Network Simplex (NS) algorithm with a block coordinate descent (BCD) strategy,…

最优化与控制 · 数学 2026-01-08 Lingrui Li , Nobuo Yamashita

Efficient structural reanalysis for high-rank modification plays an important role in engineering computations which require repeated evaluations of structural responses, such as structural optimization and probabilistic analysis. To…

计算工程、金融与科学 · 计算机科学 2025-05-20 Wenxiong Li , Suiyin Chen , Huan Huang