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Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

ABSTRACT: Mathematical optimization is a fundamental aspect of machine learning (ML). An ML task can be conceptualized as optimizing a specific objective using the training dataset to discern patterns ...

Abstract: This article investigates a dynamic slab assignment problem (DSAP) that arises in the slab production process of steel industry. In DSAP, a set of slabs and orders arrive dynamically at each ...

Optimization problems often involve situations in which the user's goal is to minimize and/or maximize not a single objective function, but several, usually conflicting, functions simultaneously. Such ...

ABSTRACT: In this paper we compare track data association purity, accuracy, and timing on a simple, idealized model tracking problem for two data association methods: Global Nearest Neighbor (GNN) and ...

Large language models (LLMs) have seen remarkable success in natural language processing (NLP). Large-scale deep learning models, especially transformer-based architectures, have grown exponentially ...

Abstract: This article investigates the problem of target assignment and trajectory optimization in multimissile multitarget engagement scenarios. To avoid complex mixed-integer nonlinear programming ...