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The paper outlines the principles of construction of a broad class of hierarchical aggregation algorithms of cluster analysis, essentially based on minimum distance mergers, which are derived from the general bi-partial objective function.…

其他统计学 · 统计学 2026-02-25 Jan W. Owsiński

Large-scale data analysis is growing at an exponential rate as data proliferates in our societies. This abundance of data has the advantage of allowing the decision-maker to implement complex models in scenarios that were prohibitive…

最优化与控制 · 数学 2022-01-11 Marco Repetto , Davide La Torre , Muhammad Tariq

In this paper, a new framework for continuous-time maximum a posteriori estimation based on the Chebyshev polynomial optimization (ChevOpt) is proposed, which transforms the nonlinear continuous-time state estimation into a problem of…

机器人学 · 计算机科学 2022-07-13 Maoran Zhu , Yuanxin Wu

We propose a new deflation strategy to accelerate the convergence of the preconditioned conjugate gradient(PCG) method for solving parametric large-scale linear systems of equations. Unlike traditional deflation techniques that rely on…

数值分析 · 数学 2025-08-04 Alena Kopaničáková , Youngkyu Lee , George Em Karniadakis

Graph clustering is a challenging pattern recognition problem whose goal is to identify vertex partitions with high intra-group connectivity. This paper investigates a bi-objective problem that maximizes the number of intra-cluster edges of…

社会与信息网络 · 计算机科学 2019-09-10 Camila P. S. Tautenhain , Mariá C. V. Nascimento

In this paper, we present an approximation of the matching coverage on large bipartite graphs, for {\em local} online matching algorithms based on the sole knowledge of the remaining degree of the nodes of the graph at hand. This…

概率论 · 数学 2021-05-11 Mohamed Habib Aliou Diallo Aoudi , Pascal Moyal , Vincent Robin

This work is concerned with approximating a trivariate function defined on a tensor-product domain via function evaluations. Combining tensorized Chebyshev interpolation with a Tucker decomposition of low multilinear rank yields function…

数值分析 · 数学 2023-01-24 Sergey Dolgov , Daniel Kressner , Christoph Strössner

Multi-scale architecture, including hierarchical vision transformer, has been commonly applied to high-resolution semantic segmentation to deal with computational complexity with minimum performance loss. In this paper, we propose a novel…

计算机视觉与模式识别 · 计算机科学 2024-06-17 Jiwon Yoo , Jangwon Lee , Gyeonghwan Kim

During the past two decades, multi-agent optimization problems have drawn increased attention from the research community. When multiple objective functions are present among agents, many works optimize the sum of these objective functions.…

多智能体系统 · 计算机科学 2020-10-13 M. J. Blondin , M. T. Hale

Process discovery approaches analyze the business data to automatically uncover structured information, known as a process model. The quality of a process model is measured using quality dimensions -- completeness (replay fitness),…

神经与进化计算 · 计算机科学 2024-06-26 Sonia Deshmukh , Shikha Gupta , Naveen Kumar

Flower pollination algorithm is a new nature-inspired algorithm, based on the characteristics of flowering plants. In this paper, we extend this flower algorithm to solve multi-objective optimization problems in engineering. By using the…

神经与进化计算 · 计算机科学 2014-04-04 Xin-She Yang , M. Karamanoglu , Xingshi He

In terms of the concepts of state and state transition, a new heuristic random search algorithm named state transition algorithm is proposed. For continuous function optimization problems, four special transformation operators called…

最优化与控制 · 数学 2013-12-10 Xiaojun Zhou , Chunhua Yang , Weihua Gui

Numerous multi-objective evolutionary algorithms have been designed for constrained optimisation over past two decades. The idea behind these algorithms is to transform constrained optimisation problems into multi-objective optimisation…

最优化与控制 · 数学 2020-03-24 Tao Xu , Jun He , Changjing Shang

Distributed data aggregation is an important task, allowing the decentralized determination of meaningful global properties, that can then be used to direct the execution of other applications. The resulting values result from the…

分布式、并行与集群计算 · 计算机科学 2011-10-05 Paulo Jesus , Carlos Baquero , Paulo Sérgio Almeida

In this paper, we consider the composite optimization problem, where the objective function integrates a continuously differentiable loss function with a nonsmooth regularization term. Moreover, only the function values for the…

最优化与控制 · 数学 2024-01-09 Shanglin Liu , Lei Wang , Nachuan Xiao , Xin Liu

Filtering---estimating the state of a partially observable Markov process from a sequence of observations---is one of the most widely studied problems in control theory, AI, and computational statistics. Exact computation of the posterior…

人工智能 · 计算机科学 2013-01-07 Bhaskara Marthi , Hanna Pasula , Stuart Russell , Yuval Peres

In this paper, we consider a class of constrained multiobjective optimization problems, where each objective function can be expressed by adding a possibly nonsmooth nonconvex function and a differentiable function with Lipschitz continuous…

最优化与控制 · 数学 2026-01-01 Nguyen Van Tuyen , Minh N. Dao , Tran Van Nghi

In multi-task learning, multiple tasks are solved jointly, sharing inductive bias between them. Multi-task learning is inherently a multi-objective problem because different tasks may conflict, necessitating a trade-off. A common compromise…

机器学习 · 计算机科学 2019-01-14 Ozan Sener , Vladlen Koltun

Recently, a deep reinforcement learning method is proposed to solve multiobjective optimization problem. In this method, the multiobjective optimization problem is decomposed to a number of single-objective optimization subproblems and all…

神经与进化计算 · 计算机科学 2020-02-14 Hong Wu , Jiahai Wang , Zizhen Zhang

In this paper, we deal with multiobjective composite optimization problems, where each objective function is a combination of smooth and possibly non-smooth functions. We first propose a parameter-dependent conditional gradient method to…

最优化与控制 · 数学 2024-10-25 Wang Chen , Liping Tang , Xinmin Yang