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Today's fast linear algebra and numerical optimization tools have pushed the frontier of model predictive control (MPC) forward, to the efficient control of highly nonlinear and hybrid systems. The field of hybrid MPC has demonstrated that…

Optimization and Control · Mathematics 2020-05-11 Jia-Jie Zhu , Georg Martius

Given a graph G, a budget k and a misinformation seed set S, Influence Minimization (IMIN) via node blocking aims to find a set of k nodes to be blocked such that the expected spread of S is minimized. This problem finds important…

Databases · Computer Science 2024-05-22 Jinghao Wang , Yanping Wu , Xiaoyang Wang , Ying Zhang , Lu Qin , Wenjie Zhang , Xuemin Lin

Mixed Integer Linear Programming (MILP) is a fundamental class of NP-hard problems that has garnered significant attention from both academia and industry. The Branch-and-Bound (B\&B) method is the dominant approach for solving MILPs and…

Machine Learning · Computer Science 2025-11-27 Tongkai Lu , Shuai Ma , Chongyang Tao

Tree search algorithms, such as branch-and-bound, are the most widely used tools for solving combinatorial and nonconvex problems. For example, they are the foremost method for solving (mixed) integer programs and constraint satisfaction…

Artificial Intelligence · Computer Science 2018-05-18 Maria-Florina Balcan , Travis Dick , Tuomas Sandholm , Ellen Vitercik

State-of-the-art Mixed Integer Linear Program (MILP) solvers combine systematic tree search with a plethora of hard-coded heuristics, such as the branching rule. The idea of learning branching rules from data has received increasing…

Machine Learning · Computer Science 2022-10-14 Lara Scavuzzo , Feng Yang Chen , Didier Chételat , Maxime Gasse , Andrea Lodi , Neil Yorke-Smith , Karen Aardal

Evaluating node influence is fundamental for identifying key nodes in complex networks. Existing methods typically rely on generic indicators to rank node influence across diverse networks, thereby ignoring the individualized features of…

Social and Information Networks · Computer Science 2024-05-14 Bingyu Zhu , Qingyun Sun , Jianxin Li , Daqing Li

In this paper we derive an efficient algorithm to learn the parameters of structured predictors in general graphical models. This algorithm blends the learning and inference tasks, which results in a significant speedup over traditional…

Machine Learning · Computer Science 2013-09-02 Tamir Hazan , Alexander Schwing , David McAllester , Raquel Urtasun

Given a social network modeled as a weighted graph $G$, the influence maximization problem seeks $k$ vertices to become initially influenced, to maximize the expected number of influenced nodes under a particular diffusion model. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-13 Soheil Shahrouz , Saber Salehkaleybar , Matin Hashemi

The well-known influence maximization problem aims at maximizing the influence of one information cascade in a social network by selecting appropriate seed users prior to the diffusion process. In its adaptive version, additional seed users…

Social and Information Networks · Computer Science 2020-03-30 Guangmo Tong , Ruiqi Wang , Zheng Dong , Xiang Li

We consider the problem of selecting $k$ seed nodes in a network to maximize the minimum probability of activation under an independent cascade beginning at these seeds. The motivation is to promote fairness by ensuring that even the least…

Social and Information Networks · Computer Science 2025-02-20 Dennis Robert Windham , Caroline J. Wendt , Alex Crane , Madelyn J Warr , Freda Shi , Sorelle A. Friedler , Blair D. Sullivan , Aaron Clauset

Mixed-integer model predictive control (MI-MPC) requires the solution of a mixed-integer quadratic program (MIQP) at each sampling instant under strict timing constraints, where part of the state and control variables can only assume a…

Optimization and Control · Mathematics 2019-03-22 Pedro Hespanhol , Rien Quirynen , Stefano Di Cairano

Recent advancements have introduced machine learning frameworks to enhance the Branch and Bound (B\&B) branching policies for solving Mixed Integer Linear Programming (MILP). These methods, primarily relying on imitation learning of Strong…

Machine Learning · Computer Science 2024-02-07 Jiacheng Lin , Meng Xu , Zhihua Xiong , Huangang Wang

Finding the seed set that maximizes the influence spread over a network is a well-known NP-hard problem. Though a greedy algorithm can provide near-optimal solutions, the subproblem of influence estimation renders the solutions inefficient.…

Machine Learning · Computer Science 2023-10-17 George Panagopoulos , Nikolaos Tziortziotis , Michalis Vazirgiannis , Fragkiskos D. Malliaros

Assessing the impact the training data on machine learning models is crucial for understanding the behavior of the model, enhancing the transparency, and selecting training data. Influence function provides a theoretical framework for…

Machine Learning · Computer Science 2026-04-21 Yuchen Zhang , Mohammad Mohammadi Amiri

The inverse statistical problem of finding direct interactions in complex networks is difficult. In the natural sciences, well-controlled perturbation experiments are widely used to probe the structure of complex networks. However, our…

Disordered Systems and Neural Networks · Physics 2019-10-24 Jialong Jiang , David A. Sivak , Matt Thomson

Influence maximization, fundamental for word-of-mouth marketing and viral marketing, aims to find a set of seed nodes maximizing influence spread on social network. Early methods mainly fall into two paradigms with certain benefits and…

Social and Information Networks · Computer Science 2014-02-18 Suqi Cheng , Hua-Wei Shen , Junming Huang , Wei Chen , Xue-Qi Cheng

Reinforcement learning has gained wide popularity as a technique for simulation-driven approximate dynamic programming. A less known aspect is that the very reasons that make it effective in dynamic programming can also be leveraged for…

Machine Learning · Computer Science 2013-11-13 Vivek S. Borkar , Adwaitvedant S. Mathkar

We consider the problem of Influence Maximization (IM), the task of selecting $k$ seed nodes in a social network such that the expected number of nodes influenced is maximized. We propose a community-aware divide-and-conquer framework that…

Social and Information Networks · Computer Science 2023-02-21 Abhishek K. Umrawal , Christopher J. Quinn , Vaneet Aggarwal

Many real-world problems can be efficiently modeled as Mixed Integer Linear Programs (MILPs) and solved with the Branch-and-Bound method. Prior work has shown the existence of MILP backdoors, small sets of variables such that prioritizing…

Artificial Intelligence · Computer Science 2024-08-02 Junyang Cai , Taoan Huang , Bistra Dilkina

Decision Trees are prominent prediction models for interpretable Machine Learning. They have been thoroughly researched, mostly in the batch setting with a fixed labelled dataset, leading to popular algorithms such as C4.5, ID3 and CART.…

Machine Learning · Computer Science 2024-06-24 Ayman Chaouki , Jesse Read , Albert Bifet