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In this work, we address a task allocation problem for human multi-robot settings. Given a set of tasks to perform, we formulate a general Mixed-Integer Linear Programming (MILP) problem aiming at minimizing the overall execution time while…

Robotics · Computer Science 2021-09-20 Martina Lippi , Alessandro Marino

Mixed-integer linear programs (MILPs) are extensively used to model practical problems such as planning and scheduling. A prominent method for solving MILPs is large neighborhood search (LNS), which iteratively seeks improved solutions…

Optimization and Control · Mathematics 2024-12-12 Wenbo Liu , Akang Wang , Wenguo Yang , Qingjiang Shi

Numerous analysis methods for quantitative attack tree analysis have been proposed. These algorithms compute relevant security metrics, i.e. performance indicators that quantify how good the security of a system is; typical metrics being…

Cryptography and Security · Computer Science 2022-12-13 Milan Lopuhaä-Zwakenberg , Carlos E. Budde , Mariëlle Stoelinga

Machine learning components commonly appear in larger decision-making pipelines; however, the model training process typically focuses only on a loss that measures accuracy between predicted values and ground truth values. Decision-focused…

Machine Learning · Computer Science 2019-07-19 Aaron Ferber , Bryan Wilder , Bistra Dilkina , Milind Tambe

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

In this paper we deal with a network of agents seeking to solve in a distributed way Mixed-Integer Linear Programs (MILPs) with a coupling constraint (modeling a limited shared resource) and local constraints. MILPs are NP-hard problems and…

Systems and Control · Computer Science 2020-10-28 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

Autonomous systems must solve motion planning problems subject to increasingly complex, time-sensitive, and uncertain missions. These problems often involve high-level task specifications, such as temporal logic or chance constraints, which…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Junyang Cai , Weimin Huang , Brendan Long , Matthew Cleaveland , Jyotirmoy V. Deshmukh , Lars Lindemann , Bistra Dilkina

Binarized Neural Networks (BNNs) have recently attracted significant interest due to their computational efficiency. Concurrently, it has been shown that neural networks may be overly sensitive to "attacks" - tiny adversarial changes in the…

Machine Learning · Computer Science 2018-10-09 Elias B. Khalil , Amrita Gupta , Bistra Dilkina

Cutting planes (cuts) are crucial for solving Mixed Integer Linear Programming (MILP) problems. Advanced MILP solvers typically rely on manually designed heuristic algorithms for cut selection, which require much expert experience and…

Optimization and Control · Mathematics 2024-12-11 Xuefeng Zhang , Liangyu Chen , Zhengfeng Yang , Zhenbing Zeng

In this paper, a mixed integer linear programming (MILP) formulation is proposed to solve the dynamic economic dispatch with valve-point effect (DED-VPE). Based on piecewise linearization technique, the non-convex and non-smooth generation…

Optimization and Control · Mathematics 2017-02-17 Shanshan Pan , Jinbao Jian , Linfeng Yang

Cutting planes for mixed-integer linear programs (MILPs) are typically computed in rounds by iteratively solving optimization problems, the so-called separation. Instead, we reframe the problem of finding good cutting planes as a continuous…

Optimization and Control · Mathematics 2023-07-10 Didier Chételat , Andrea Lodi

To explore the vulnerability of deep neural networks (DNNs), many attack paradigms have been well studied, such as the poisoning-based backdoor attack in the training stage and the adversarial attack in the inference stage. In this paper,…

Cryptography and Security · Computer Science 2022-07-27 Jiawang Bai , Baoyuan Wu , Zhifeng Li , Shu-tao Xia

Mixed Integer Linear Programming (MILP) is a pillar of mathematical optimization that offers a powerful modeling language for a wide range of applications. During the past decades, enormous algorithmic progress has been made in solving…

Optimization and Control · Mathematics 2024-02-09 Lara Scavuzzo , Karen Aardal , Andrea Lodi , Neil Yorke-Smith

Recently, the evolution of deep learning has promoted the application of machine learning (ML) to various systems. However, there are ML systems, such as autonomous vehicles, that cause critical damage when they misclassify. Conversely,…

Cryptography and Security · Computer Science 2023-12-29 Yuki Yamaguchi , Toshiaki Aoki

Ridepooling services play an increasingly important role in modern transportation systems. With soaring demand and growing fleet sizes, the underlying route planning problems become increasingly challenging. In this context, we consider the…

Optimization and Control · Mathematics 2024-10-03 Daniela Gaul , Kathrin Klamroth , Christian Pfeiffer , Arne Schulz , Michael Stiglmayr

The fundamental idea of this work is to synthesize reactive controllers such that closed-loop execution trajectories of the system satisfy desired specifications that ensure correct system behaviors, while optimizing a desired performance…

Systems and Control · Computer Science 2016-03-09 Sayan Saha , A. Agung Julius

This paper addresses the problem of planning time-optimal trajectories for multiple cooperative agents along specified paths through a static road network. Vehicle interactions at intersections create non-trivial decisions, with complex…

Robotics · Computer Science 2018-10-08 Philip Gun , Andrew Hill , Robin Vujanic

Attack-Defence Trees (ADTs) are well-suited to assess possible attacks to systems and the efficiency of counter-measures. In this paper, we first enrich the available constructs with reactive patterns that cover further security scenarios,…

Cryptography and Security · Computer Science 2019-10-24 Jaime Arias , Carlos E. Budde , Wojciech Penczek , Laure Petrucci , Mariëlle Stoelinga

We study the robustness verification problem for tree-based models, including decision trees, random forests (RFs) and gradient boosted decision trees (GBDTs). Formal robustness verification of decision tree ensembles involves finding the…

Machine Learning · Computer Science 2019-12-11 Hongge Chen , Huan Zhang , Si Si , Yang Li , Duane Boning , Cho-Jui Hsieh

Mixed Integer Linear Programming (MILP) is essential for modeling complex decision-making problems but faces challenges in computational tractability and requires expert formulation. Current deep learning approaches for MILP focus on…

Machine Learning · Computer Science 2025-02-24 Sirui Li , Janardhan Kulkarni , Ishai Menache , Cathy Wu , Beibin Li