A Survey on Influence Maximization: From an ML-Based Combinatorial
Optimization
- URL: http://arxiv.org/abs/2211.03074v1
- Date: Sun, 6 Nov 2022 10:13:42 GMT
- Title: A Survey on Influence Maximization: From an ML-Based Combinatorial
Optimization
- Authors: Yandi Li, Haobo Gao, Yunxuan Gao, Jianxiong Guo, Weili Wu
- Abstract summary: Influence Maximization (IM) is a classical optimization problem, which can be widely used in mobile networks, social computing, and recommendation systems.
Main challenge comes from the NP-hardness of the IM problem and #P-hardness of estimating the influence spread.
We focus on summarizing the relevant background knowledge, basic principles, common methods, and applied research.
- Score: 2.9882027965916413
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Influence Maximization (IM) is a classical combinatorial optimization
problem, which can be widely used in mobile networks, social computing, and
recommendation systems. It aims at selecting a small number of users such that
maximizing the influence spread across the online social network. Because of
its potential commercial and academic value, there are a lot of researchers
focusing on studying the IM problem from different perspectives. The main
challenge comes from the NP-hardness of the IM problem and \#P-hardness of
estimating the influence spread, thus traditional algorithms for overcoming
them can be categorized into two classes: heuristic algorithms and
approximation algorithms. However, there is no theoretical guarantee for
heuristic algorithms, and the theoretical design is close to the limit.
Therefore, it is almost impossible to further optimize and improve their
performance. With the rapid development of artificial intelligence, the
technology based on Machine Learning (ML) has achieved remarkable achievements
in many fields. In view of this, in recent years, a number of new methods have
emerged to solve combinatorial optimization problems by using ML-based
techniques. These methods have the advantages of fast solving speed and strong
generalization ability to unknown graphs, which provide a brand-new direction
for solving combinatorial optimization problems. Therefore, we abandon the
traditional algorithms based on iterative search and review the recent
development of ML-based methods, especially Deep Reinforcement Learning, to
solve the IM problem and other variants in social networks. We focus on
summarizing the relevant background knowledge, basic principles, common
methods, and applied research. Finally, the challenges that need to be solved
urgently in future IM research are pointed out.
Related papers
- Unraveling the Versatility and Impact of Multi-Objective Optimization: Algorithms, Applications, and Trends for Solving Complex Real-World Problems [4.023511716339818]
Multi-Objective Optimization (MOO) techniques have become increasingly popular in recent years.
This paper examines recently developed MOO-based algorithms.
In real-world case studies, MOO algorithms address complicated decision-making challenges.
arXiv Detail & Related papers (2024-06-29T15:19:46Z) - CHARME: A chain-based reinforcement learning approach for the minor embedding problem [16.24890195949869]
We propose a novel approach utilizing Reinforcement Learning (RL) techniques to address the minor embedding problem, named CHARME.
CHARME includes three key components: a Graph Neural Network (GNN) architecture for policy modeling, a state transition algorithm ensuring solution validity, and an order exploration strategy for effective training.
In details, CHARME yields superior solutions compared to fast embedding methods such as Minorminer and ATOM.
arXiv Detail & Related papers (2024-06-11T10:12:10Z) - Decision-focused Graph Neural Networks for Combinatorial Optimization [62.34623670845006]
An emerging strategy to tackle optimization problems involves the adoption of graph neural networks (GNNs) as an alternative to traditional algorithms.
Despite the growing popularity of GNNs and traditional algorithm solvers in the realm of CO, there is limited research on their integrated use and the correlation between them within an end-to-end framework.
We introduce a decision-focused framework that utilizes GNNs to address CO problems with auxiliary support.
arXiv Detail & Related papers (2024-06-05T22:52:27Z) - Metric Learning to Accelerate Convergence of Operator Splitting Methods for Differentiable Parametric Programming [46.26499759722771]
This paper shows how differentiable optimization can enable the end-to-end learning of proximal metrics.
Results illustrate a strong connection between the learned proximal metrics and active constraints at the optima.
arXiv Detail & Related papers (2024-04-01T03:23:43Z) - Machine Learning Insides OptVerse AI Solver: Design Principles and
Applications [74.67495900436728]
We present a comprehensive study on the integration of machine learning (ML) techniques into Huawei Cloud's OptVerse AI solver.
We showcase our methods for generating complex SAT and MILP instances utilizing generative models that mirror multifaceted structures of real-world problem.
We detail the incorporation of state-of-the-art parameter tuning algorithms which markedly elevate solver performance.
arXiv Detail & Related papers (2024-01-11T15:02:15Z) - SEGO: Sequential Subgoal Optimization for Mathematical Problem-Solving [64.38649623473626]
Large Language Models (LLMs) have driven substantial progress in artificial intelligence.
We propose a novel framework called textbfSEquential subtextbfGoal textbfOptimization (SEGO) to enhance LLMs' ability to solve mathematical problems.
arXiv Detail & Related papers (2023-10-19T17:56:40Z) - Socio-cognitive Optimization of Time-delay Control Problems using
Evolutionary Metaheuristics [89.24951036534168]
Metaheuristics are universal optimization algorithms which should be used for solving difficult problems, unsolvable by classic approaches.
In this paper we aim at constructing novel socio-cognitive metaheuristic based on castes, and apply several versions of this algorithm to optimization of time-delay system model.
arXiv Detail & Related papers (2022-10-23T22:21:10Z) - Neural Combinatorial Optimization: a New Player in the Field [69.23334811890919]
This paper presents a critical analysis on the incorporation of algorithms based on neural networks into the classical optimization framework.
A comprehensive study is carried out to analyse the fundamental aspects of such algorithms, including performance, transferability, computational cost and to larger-sized instances.
arXiv Detail & Related papers (2022-05-03T07:54:56Z) - A Survey for Solving Mixed Integer Programming via Machine Learning [76.04988886859871]
This paper surveys the trend of machine learning to solve mixed integer (MIP) problems.
In this paper, we first introduce the formulation and preliminaries of MIP and several traditional algorithms to solve MIP.
Then, we advocate further promoting the different integration of machine learning and MIP algorithms.
arXiv Detail & Related papers (2022-03-06T05:03:37Z) - Hyperspectral Unmixing Network Inspired by Unfolding an Optimization
Problem [2.4016406737205753]
The hyperspectral image (HSI) unmixing task is essentially an inverse problem, which is commonly solved by optimization algorithms.
We propose two novel network architectures, named U-ADMM-AENet and U-ADMM-BUNet, for abundance estimation and blind unmixing.
We show that the unfolded structures can find corresponding interpretations in machine learning literature, which further demonstrates the effectiveness of proposed methods.
arXiv Detail & Related papers (2020-05-21T18:49:45Z) - Learning fine-grained search space pruning and heuristics for
combinatorial optimization [5.72274610208488]
We propose a framework for leveraging machine learning techniques to scale-up exact optimization algorithms.
Our framework learns the relatively simpler task of pruning the elements in order to reduce the size of the problem instances.
We show that our framework can prune a large fraction of the input graph and still detect almost all of the maximum cliques.
arXiv Detail & Related papers (2020-01-05T13:10:39Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.