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This paper introduces Bayesian frameworks for tackling various aspects of multi-criteria decision-making (MCDM) problems, leveraging a probabilistic interpretation of MCDM methods and challenges. By harnessing the flexibility of Bayesian…

Artificial Intelligence · Computer Science 2025-08-08 Majid Mohammadi

This paper introduces a deep reinforcement learning-based block coordinate descent (DRL-based BCD) algorithm to address the nonconvex weighted sum-rate maximization (WSRM) problem with a total power constraint. Firstly, we present an…

Networking and Internet Architecture · Computer Science 2026-02-25 Siya Chen , Chee Wei Tan , H. Vincent Poor

Large language models (LLMs) alignment aims to ensure that the behavior of LLMs meets human preferences. While collecting data from multiple fine-grained, aspect-specific preferences becomes more and more feasible, existing alignment…

Machine Learning · Computer Science 2026-03-03 Jia Zhang , Yao Liu , Chen-Xi Zhang , Yi Liu , Yi-Xuan Jin , Lan-Zhe Guo , Yu-Feng Li

With the increasing volume of data in the world, the best approach for learning from this data is to exploit an online learning algorithm. Online ensemble methods are online algorithms which take advantage of an ensemble of classifiers to…

Machine Learning · Statistics 2015-02-03 Mohammadzaman Zamani , Hamid Beigy , Amirreza Shaban

A novel approach for solving a multiple judge, multiple criteria decision making (MCDM) problem is proposed. The ranking of alternatives that are evaluated based on multiple criteria is difficult, since the presence of multiple criteria…

Applications · Statistics 2018-07-17 Daniel Kostner

Data in the form of rankings, ratings, pair comparisons or clicks are frequently collected in diverse fields, from marketing to politics, to understand assessors' individual preferences. Combining such preference data with features…

Methodology · Statistics 2024-02-19 Emilie Eliseussen , Arnoldo Frigessi , Valeria Vitelli

Recent decade has witnessed the increasing popularity of recommender systems, which help users acquire relevant commodities and services from overwhelming resources on Internet. Some simple physical diffusion processes have been used to…

Information Retrieval · Computer Science 2014-02-25 Da-Cheng Nie , Ya-Hui An , Qiang Dong , Yan Fu , Tao Zhou

In this work we extend the class of Consensus-Based Optimization (CBO) metaheuristic methods by considering memory effects and a random selection strategy. The proposed algorithm iteratively updates a population of particles according to a…

Optimization and Control · Mathematics 2023-08-16 Giacomo Borghi , Sara Grassi , Lorenzo Pareschi

The dynamic mode decomposition (DMD) has become a leading tool for data-driven modeling of dynamical systems, providing a regression framework for fitting linear dynamical models to time-series measurement data. We present a simple…

Numerical Analysis · Mathematics 2017-04-11 Travis Askham , J. Nathan Kutz

Coordinate descent algorithms are widely used in machine learning and large-scale data analysis due to their strong optimality guarantees and impressive empirical performance in solving non-convex problems. In this work, we introduce Block…

Optimization and Control · Mathematics 2024-12-17 Zhijie Yuan , Ganzhao Yuan , Lei Sun

Diffusion-based generative models (DBGMs) perturb data to a target noise distribution and reverse this process to generate samples. The choice of noising process, or inference diffusion process, affects both likelihoods and sample quality.…

Machine Learning · Computer Science 2023-03-06 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

In this paper, we present a new stochastic algorithm, namely the stochastic block mirror descent (SBMD) method for solving large-scale nonsmooth and stochastic optimization problems. The basic idea of this algorithm is to incorporate the…

Optimization and Control · Mathematics 2013-09-10 Cong D. Dang , Guanghui Lan

In Bayesian inference, the posterior distributions are difficult to obtain analytically for complex models such as neural networks. Variational inference usually uses a parametric distribution for approximation, from which we can easily…

Machine Learning · Statistics 2019-02-01 Futoshi Futami , Zhenghang Cui , Issei Sato , Masashi Sugiyama

This work considers the category distribution heterogeneity in federated learning. This issue is due to biased labeling preferences at multiple clients and is a typical setting of data heterogeneity. To alleviate this issue, most previous…

Machine Learning · Computer Science 2023-05-31 Rui Ye , Mingkai Xu , Jianyu Wang , Chenxin Xu , Siheng Chen , Yanfeng Wang

Direct Preference Optimization (DPO) has emerged as a more computationally efficient alternative to Reinforcement Learning from Human Feedback (RLHF) with Proximal Policy Optimization (PPO), eliminating the need for reward models and online…

Computation and Language · Computer Science 2024-10-28 Xin Mao , Feng-Lin Li , Huimin Xu , Wei Zhang , Wang Chen , Anh Tuan Luu

The stochastic gradient (SG) method can minimize an objective function composed of a large number of differentiable functions, or solve a stochastic optimization problem, to a moderate accuracy. The block coordinate descent/update (BCD)…

Optimization and Control · Mathematics 2015-11-23 Yangyang Xu , Wotao Yin

In this book we introduce a new procedure called \alpha-Discounting Method for Multi-Criteria Decision Making (\alpha-D MCDM), which is as an alternative and extension of Saaty Analytical Hierarchy Process (AHP). It works for any number of…

Artificial Intelligence · Computer Science 2015-10-05 Florentin Smarandache

Incomplete multi-view clustering primarily focuses on dividing unlabeled data into corresponding categories with missing instances, and has received intensive attention due to its superiority in real applications. Considering the influence…

Machine Learning · Computer Science 2024-05-21 Huibing Wang , Mingze Yao , Yawei Chen , Yunqiu Xu , Haipeng Liu , Wei Jia , Xianping Fu , Yang Wang

Collaborative filtering is one of the most fundamental topics for recommender systems. Various methods have been proposed for collaborative filtering, ranging from matrix factorization to graph convolutional methods. Being inspired by…

Information Retrieval · Computer Science 2023-04-07 Jeongwhan Choi , Seoyoung Hong , Noseong Park , Sung-Bae Cho

Maintaining or improving the performance of Deep Neural Networks (DNNs) through fine-tuning requires labeling newly collected inputs, a process that is often costly and time-consuming. To alleviate this problem, input selection approaches…

Computer Vision and Pattern Recognition · Computer Science 2026-01-14 Amin Abbasishahkoo , Mahboubeh Dadkhah , Lionel Briand