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A fundamental problem in multi-task learning (MTL) is identifying groups of tasks that should be learned together. Since training MTL models for all possible combinations of tasks is prohibitively expensive for large task sets, a crucial…

Machine Learning · Computer Science 2026-02-24 Afiya Ayman , Ayan Mukhopadhyay , Aron Laszka

The fundamental goal assignment problem for a multi-robot application aims to assign a unique goal to each robot while ensuring collision-free paths, minimizing the total movement cost. A plausible algorithmic solution to this NP-hard…

Multiagent Systems · Computer Science 2024-02-22 Aakash , Indranil Saha

Adaptive task planning is fundamental to ensuring effective and seamless human-robot collaboration. This paper introduces a robot task planning framework that takes into account both human leading/following preferences and performance,…

Robotics · Computer Science 2025-07-22 Ali Noormohammadi-Asl , Stephen L. Smith , Kerstin Dautenhahn

In this paper, approximation schemes are proposed for handling load uncertainty in compliance-based topology optimization problems, where the uncertainty is described in the form of a set of finitely many loading scenarios. Efficient…

Computational Engineering, Finance, and Science · Computer Science 2022-05-03 Mohamed Tarek , Tapabrata Ray

The efficient allocation of human resources is a critical concern in software development and other industries. This paper introduces a rigorous mathematical methodology for task assignment, employing Mixed Integer Linear Programming (MILP)…

Optimization and Control · Mathematics 2025-12-16 Lokendra Kumar , Neelesh S. Upadhye , Kannan Piedy

We present Group Orthogonalized Policy Optimization (GOPO), a new alignment algorithm for large language models derived from the geometry of Hilbert function spaces. Instead of optimizing on the probability simplex and inheriting the…

Machine Learning · Computer Science 2026-02-26 Wang Zixian

This paper presents a hierarchical framework to solve the multi-robot temporal task planning problem. We assume that each robot has its individual task specification and the robots have to jointly satisfy a global collaborative task…

Robotics · Computer Science 2023-08-29 Ruofei Bai , Ronghao Zheng , Yang Xu , Meiqin Liu , Senlin Zhang

In numerous reinforcement learning (RL) problems involving safety-critical systems, a key challenge lies in balancing multiple objectives while simultaneously meeting all stringent safety constraints. To tackle this issue, we propose a…

Artificial Intelligence · Computer Science 2024-05-28 Shangding Gu , Bilgehan Sel , Yuhao Ding , Lu Wang , Qingwei Lin , Alois Knoll , Ming Jin

This paper addresses a critical societal consideration in the application of Reinforcement Learning (RL): ensuring equitable outcomes across different demographic groups in multi-task settings. While previous work has explored fairness in…

Machine Learning · Computer Science 2025-03-12 Kefan Song , Runnan Jiang , Rohan Chandra , Shangtong Zhang

We study stochastic combinatorial optimization problems where the objective is to minimize the expected maximum load (a.k.a.\ the makespan). In this framework, we have a set of $n$ tasks and $m$ resources, where each task $j$ uses some…

Data Structures and Algorithms · Computer Science 2021-06-25 Anupam Gupta , Amit Kumar , Viswanath Nagarajan , Xiangkun Shen

Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

Robotics · Computer Science 2024-08-21 Fatemeh Rastgar

In this paper, a novel framework is presented that achieves a combined solution based on Multi-Robot Task Allocation (MRTA) and collision avoidance with respect to homogeneous measurement tasks taking place in industrial environments. The…

Robotics · Computer Science 2025-05-16 Rathin Chandra Shit , Sharmila Subudhi

Many approaches for addressing Global Optimization problems typically rely on relaxations of nonlinear constraints over specific mathematical primitives. This is restricting in applications with constraints that are black-box, implicit or…

Optimization and Control · Mathematics 2025-01-03 Dimitris Bertsimas , Georgios Margaritis

In this paper we consider multiple constrained resource allocation problems, where the constraints can be specified by formulating activity dependency restrictions or by using game-theoretic models. All the problems are focused on generic…

Data Structures and Algorithms · Computer Science 2009-06-19 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Costel Visan

Continual learning of multiple tasks remains a major challenge for neural networks. Here, we investigate how task order influences continual learning and propose a strategy for optimizing it. Leveraging a linear teacher-student model with…

Machine Learning · Statistics 2025-07-22 Ziyan Li , Naoki Hiratani

Multitask learning is a widely used paradigm for training models on diverse tasks, with applications ranging from graph neural networks to language model fine-tuning. Since tasks may interfere with each other, a key notion for modeling…

Machine Learning · Computer Science 2024-11-22 Dongyue Li , Aneesh Sharma , Hongyang R. Zhang

In this study, a cluster-computing environment is employed as a computational platform. In order to increase the efficiency of the system, a dynamic task scheduling algorithm is proposed, which balances the load among the nodes of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-22 I. K. Savvas , M. Tahar Kechadi

The global optimization literature places large emphasis on reducing intractable optimization problems into more tractable structured optimization forms. In order to achieve this goal, many existing methods are restricted to optimization…

Optimization and Control · Mathematics 2025-04-28 Dimitris Bertsimas , Berk Öztürk

Modern lightweight dual-arm robots bring the physical capabilities to quickly take over tasks at typical industrial workplaces designed for workers. In times of mass-customization, low setup times including the instructing/specifying of new…

Robotics · Computer Science 2024-03-22 Jan Kristof Behrens , Ralph Lange , Masoumeh Mansouri

Motivated by modern parallel computing applications, we consider the problem of scheduling parallel-task jobs with heterogeneous resource requirements in a cluster of machines. Each job consists of a set of tasks that can be processed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi