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This paper shows that the OSGA algorithm -- which uses first-order information to solve convex optimization problems with optimal complexity -- can be used to efficiently solve arbitrary bound-constrained convex optimization problems. This…

最优化与控制 · 数学 2015-01-08 Masoud Ahookhosh , Arnold Neumaier

We propose a new variant of AMSGrad, a popular adaptive gradient based optimization algorithm widely used for training deep neural networks. Our algorithm adds prior knowledge about the sequence of consecutive mini-batch gradients and…

机器学习 · 统计学 2020-11-04 Jun-Kun Wang , Xiaoyun Li , Belhal Karimi , Ping Li

Communication has been seen as a significant bottleneck in industrial applications over large-scale networks. To alleviate the communication burden, sign-based optimization algorithms have gained popularity recently in both industrial and…

最优化与控制 · 数学 2021-09-07 Xiuxian Li , Kuo-Yi Lin , Li Li , Yiguang Hong , Jie Chen

One of the big restrictions in brain computer interface field is the very limited training samples, it is difficult to build a reliable and usable system with such limited data. Inspired by generative adversarial networks, we propose a…

人机交互 · 计算机科学 2018-12-31 Qiqi Zhang , Ying Liu

Several practical multi-user multi-carrier communication systems are characterized by a multi-carrier interference channel system model where the interference is treated as noise. For these systems, spectrum optimization is a promising…

信息论 · 计算机科学 2013-08-28 Paschalis Tsiaflakis , François Glineur

Gradient-type distributed optimization methods have blossomed into one of the most important tools for solving a minimization learning task over a networked agent system. However, only one gradient update per iteration is difficult to…

最优化与控制 · 数学 2024-03-06 Mou Wu , Haibin Liao , Zhengtao Ding , Yonggang Xiao

Federated optimization (FedOpt), which targets at collaboratively training a learning model across a large number of distributed clients, is vital for federated learning. The primary concerns in FedOpt can be attributed to the model…

分布式、并行与集群计算 · 计算机科学 2023-02-28 Huiming Chen , Huandong Wang , Quanming Yao , Yong Li , Depeng Jin , Qiang Yang

Recent advances in multimodal imaging acquisition techniques have allowed us to measure different aspects of brain structure and function. Multimodal fusion, such as linked independent component analysis (LICA), is popularly used to…

统计方法学 · 统计学 2024-06-28 Ruiyang Li , F. DuBois Bowman , Seonjoo Lee

In this work, we present and analyze C-SAGA, a (deterministic) cyclic variant of SAGA. C-SAGA is an incremental gradient method that minimizes a sum of differentiable convex functions by cyclically accessing their gradients. Even though the…

最优化与控制 · 数学 2020-01-10 Youngsuk Park , Ernest K. Ryu

Delays and asynchrony are inevitable in large-scale machine-learning problems where communication plays a key role. As such, several works have extensively analyzed stochastic optimization with delayed gradients. However, as far as we are…

机器学习 · 计算机科学 2023-08-28 Arman Adibi , Aritra Mitra , Hamed Hassani

We introduce coroICA, confounding-robust independent component analysis, a novel ICA algorithm which decomposes linearly mixed multivariate observations into independent components that are corrupted (and rendered dependent) by hidden…

机器学习 · 统计学 2019-10-31 Niklas Pfister , Sebastian Weichwald , Peter Bühlmann , Bernhard Schölkopf

Retrieval-Augmented Generation (RAG) has proven effective for knowledge synthesis, yet it encounters significant challenges in practical scenarios where data is inherently discrete and fragmented. In most environments, information is…

人工智能 · 计算机科学 2026-01-09 Zhen Chen , Weihao Xie , Peilin Chen , Shiqi Wang , Jianping Wang

Graph contrastive learning (GCL) shows great potential in unsupervised graph representation learning. Data augmentation plays a vital role in GCL, and its optimal choice heavily depends on the downstream task. Many GCL methods with…

机器学习 · 计算机科学 2023-05-30 Xin Xiong , Furao Shen , Xiangyu Wang , Jian Zhao

We consider optimal experimental design for parameter estimation in dynamical systems governed by controlled ordinary differential equations. In such problems, Fisher-based criteria are attractive because they lead to time-additive…

最优化与控制 · 数学 2026-04-08 Luc de Montella , Sebastian Sager

Inspired by a recent breakthrough of Mishchenko et al (2022), who for the first time showed that local gradient steps can lead to provable communication acceleration, we propose an alternative algorithm which obtains the same communication…

机器学习 · 计算机科学 2022-07-11 Abdurakhmon Sadiev , Dmitry Kovalev , Peter Richtárik

Trimming techniques are efficient ways to generate complex geometries in Computer-Aided Design(CAD). In this paper, an improved isogeometric analysis(IGA) method for trimmed geometries is proposed. We will show that the proposed method…

数值分析 · 计算机科学 2017-07-04 Jinlan Xu , Ningning Sun , Laixin Shu , Timon Rabczuk , Gang Xu

Although approaches to Independent Component Analysis (ICA) based on characteristic function seem theoretically elegant, they may suffer from implementational challenges because of numerical integration steps or selection of tuning…

统计方法学 · 统计学 2025-11-07 Vincent Starck

Simulation techniques such as the finite element method are essential for designing electrical devices, but their computational cost can be prohibitive for repeated or real-time computations. Projection-based model order reduction…

计算工程、金融与科学 · 计算机科学 2026-01-27 Matteo Zorzetto , Merle Backmeyer , Michael Wiesheu , Riccardo Torchio , Fabrizio Dughiero , Sebastian Schöps

Federated Learning is a popular distributed learning paradigm in machine learning. Meanwhile, composition optimization is an effective hierarchical learning model, which appears in many machine learning applications such as meta learning…

机器学习 · 计算机科学 2023-03-31 Feihu Huang

We propose a novel adaptive, accelerated algorithm for the stochastic constrained convex optimization setting. Our method, which is inspired by the Mirror-Prox method, \emph{simultaneously} achieves the optimal rates for smooth/non-smooth…

最优化与控制 · 数学 2019-10-31 Ali Kavis , Kfir Y. Levy , Francis Bach , Volkan Cevher