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Low rank matrix factorisation is often used in recommender systems as a way of extracting latent features. When dealing with large and sparse datasets, traditional recommendation algorithms face the problem of acquiring large, unrestrained,…

Machine Learning · Computer Science 2018-07-17 Shuai Jiang , Kan Li , Richard Yi Da Xu

This work introduces a family of univariate constrained mixtures of generalized normal distributions (CMGND) where the location, scale, and shape parameters can be constrained to be equal across any subset of mixture components. An…

Methodology · Statistics 2025-06-05 Pierdomenico Duttilo , Stefano Antonio Gattone , Alfred Kume

Conjugate gradient (CG) methods are a class of important methods for solving linear equations and nonlinear optimization problems. In this paper, we propose a new stochastic CG algorithm with variance reduction and we prove its linear…

Machine Learning · Computer Science 2018-10-17 Xiao-Bo Jin , Xu-Yao Zhang , Kaizhu Huang , Guang-Gang Geng

Long-term beamforming substantially reduces the channel estimation and inversion overhead of conventional massive MU-MIMO receivers; yet, its construction still hinges on the inversion of a large Hermitian matrix, whose condition number…

Signal Processing · Electrical Eng. & Systems 2026-05-05 Amirreza Kiani , Ali Rasteh , Marco Mezzavilla , Sundeep Rangan

A framework is introduced for solving a sequence of slowly changing optimization problems, including those arising in regression and classification applications, using optimization algorithms such as stochastic gradient descent (SGD). The…

Machine Learning · Computer Science 2015-09-25 Craig Wilson , Venugopal V. Veeravalli

A well-known challenge in beamforming is how to optimally utilize the degrees of freedom (DoF) of the array to design a robust beamformer, especially when the array DoF is limited. In this paper, we leverage the tool of constrained convex…

Information Theory · Computer Science 2022-10-20 Wenqiang Pu , Jinjun Xiao , Tao Zhang , Zhi-Quan Luo

In this paper, we consider a novel optimization design for multi-waveguide pinching-antenna systems, aiming to maximize the weighted sum rate (WSR) by jointly optimizing beamforming coefficients and antenna position. To handle the…

Information Retrieval · Computer Science 2025-06-17 Kang Zhou , Weixi Zhou , Donghong Cai , Xianfu Lei , Yanqing Xu , Zhiguo Ding , Pingzhi Fan

Fine-tuning large language models (LLMs) for downstream tasks has become increasingly crucial due to their widespread use and the growing availability of open-source models. However, the high memory costs associated with fine-tuning remain…

Machine Learning · Computer Science 2025-02-04 David H. Yang , Mohammad Mohammadi Amiri , Tejaswini Pedapati , Subhajit Chaudhury , Pin-Yu Chen

A framework previously introduced in [3] for solving a sequence of stochastic optimization problems with bounded changes in the minimizers is extended and applied to machine learning problems such as regression and classification. The…

Machine Learning · Computer Science 2019-04-08 Craig Wilson , Yuheng Bu , Venugopal Veeravalli

This paper develops a communication-efficient algorithm to solve the stochastic optimization problem defined over a distributed network, aiming at reducing the burdensome communication in applications such as distributed machine…

Machine Learning · Statistics 2020-01-06 Weiyu Li , Tianyi Chen , Liping Li , Zhaoxian Wu , Qing Ling

Graph collaborative filtering (GCF) is a dominant paradigm in recommender systems, where contrastive learning (CL) objectives such as the Sampled Softmax (SSM) loss are widely used for optimization. However, it remains unclear how CL…

Information Retrieval · Computer Science 2026-05-26 Geon Lee , Sunwoo Kim , Kyungho Kim , Kijung Shin

Convolutional sparse representation (CSR), shift-invariant model for inverse problems, has gained much attention in the fields of signal/image processing, machine learning and computer vision. The most challenging problems in CSR implies…

Machine Learning · Computer Science 2020-11-23 Gustavo Silva , Paul Rodriguez

In this paper, we propose an adaptive proximal inexact gradient (APIG) framework for solving a class of nonsmooth composite optimization problems involving function and gradient errors. Unlike existing inexact proximal gradient methods, the…

Information Theory · Computer Science 2025-04-03 Xilai Fan , Bo Jiang , Ya-Feng Liu

In this letter, we present a novel low-complexity adaptive beamforming technique using a stochastic gradient algorithm to avoid matrix inversions. The proposed method exploits algorithms based on the maximum entropy power spectrum (MEPS) to…

Information Theory · Computer Science 2020-12-29 S. Mohammadzadeh , V. H. Nascimento , R. C. de Lamare

Mixtures of linear mixed models (MLMMs) are useful for clustering grouped data and can be estimated by likelihood maximization through the EM algorithm. The conventional approach to determining a suitable number of components is to compare…

Applications · Statistics 2014-05-26 Siew Li Tan , David J. Nott

In this paper, we propose a novel adaptive reduced-rank strategy for very large multiuser multi-input multi-output (MIMO) systems. The proposed reduced-rank scheme is based on the concept of joint iterative optimization (JIO) of filters…

Information Theory · Computer Science 2013-02-20 Yunlong Cai , Rodrigo C. de Lamare

In this paper, we propose a novel reduced-rank adaptive filtering algorithm by blending the idea of the Krylov subspace methods with the set-theoretic adaptive filtering framework. Unlike the existing Krylov-subspace-based reduced-rank…

Information Theory · Computer Science 2013-06-28 R. C. de Lamare , M. Yukawa , I. Yamada

In this paper, we consider the delay-constrained beamforming control for downlink multi-user MIMO (MU- MIMO) systems with imperfect channel state information at the transmitter (CSIT). The delay-constrained control problem is formulated as…

Information Theory · Computer Science 2015-06-15 Vincent K. N. Lau , Fan Zhang , Ying Cui

Hybrid beamforming via large antenna arrays has shown a great potential for increasing data rate in cellular networks by delivering multiple data streams simultaneously. In this paper, several beamforming design algorithms are proposed…

Information Theory · Computer Science 2018-02-06 Shahram Shahsavari , S. Amir Hosseini , Chris Ng , Elza Erkip

We consider network-based decentralized optimization problems, where each node in the network possesses a local function and the objective is to collectively attain a consensus solution that minimizes the sum of all the local functions. A…

Optimization and Control · Mathematics 2023-09-07 Suhail M. Shah , Albert S. Berahas , Raghu Bollapragada