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The probabilistic principal component analysis (PPCA) is built upon a global linear mapping, with which it is insufficient to model complex data variation. This paper proposes a mixture of bilateral-projection probabilistic principal…

Computer Vision and Pattern Recognition · Computer Science 2016-01-08 Fujiao Ju , Yanfeng Sun , Junbin Gao , Simeng Liu , Yongli Hu

We present a symmetry-based exhaustive approach to explore the structural and compositional richness of two-dimensional materials. We use a ``combinatorial engine'' that constructs potential compounds by occupying all possible Wyckoff…

Materials Science · Physics 2023-04-25 Hai-Chen Wang , Jonathan Schmidt , Miguel A. L. Marques , Ludger Wirtz , Aldo H. Romero

This paper comparatively investigates the performance of extended-range electric powertrains composed by integrating dual-motor inputs, multi-speed transmission, and engine in either series or parallel connection. Two configurations, namely…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Cong Thanh Nguyen , Paul D. Walker , Nong Zhang

The so-called matrix-element method (MEM) has long been used successfully as a classification tool in particle physics searches. In the presence of invisible final state particles, the traditional MEM typically assigns probabilities to an…

High Energy Physics - Phenomenology · Physics 2019-08-26 Stefan von Buddenbrock , Olivier Mattelaer , Michael Spannowsky

Although energy system optimisation based on linear optimisation is often used for influential energy outlooks and studies for political decision-makers, the underlying background still needs to be described in the scientific literature in…

Optimization and Control · Mathematics 2023-08-07 Sebastian Miehling , Andreas Hanel , Jerry Lambert , Sebastian Fendt , Hartmut Spliethoff

We establish a broad methodological foundation for mixed-integer optimization with learned constraints. We propose an end-to-end pipeline for data-driven decision making in which constraints and objectives are directly learned from data…

Optimization and Control · Mathematics 2023-10-30 Donato Maragno , Holly Wiberg , Dimitris Bertsimas , S. Ilker Birbil , Dick den Hertog , Adejuyigbe Fajemisin

We propose a hierarchical architecture for efficiently computing high-quality solutions to structured mixed-integer programs (MIPs). To reduce computational effort, our approach decouples the original problem into a higher level problem and…

Optimization and Control · Mathematics 2025-12-04 Stefan Clarke , Bartolomeo Stellato

To efficiently deploy robotic systems in society, mobile robots must move autonomously and safely through complex environments. Nonlinear model predictive control (MPC) methods provide a natural way to find a dynamically feasible trajectory…

Motion planning techniques for quadrotors have advanced significantly over the past decade. Most successful planners have two stages: a front-end that determines a path that incorporates geometric (or kinematic or input) constraints and…

Robotics · Computer Science 2024-03-11 Yifei Simon Shao , Yuwei Wu , Laura Jarin-Lipschitz , Pratik Chaudhari , Vijay Kumar

In this paper two formulations for the robust optimization of the size of the permanent magnet in a synchronous machine are discussed. The optimization is constrained by a partial differential equation to describe the electromagnetic…

Optimization and Control · Mathematics 2018-08-07 Zeger Bontinck , Oliver Lass , Sebastian Schöps , Stefan Ulbrich , Oliver Rain

We present a general and modular algorithmic framework for path planning of robots. Our framework combines geometric methods for exact and complete analysis of low-dimensional configuration spaces, together with practical, considerably…

Computational Geometry · Computer Science 2015-09-17 Oren Salzman , Michael Hemmer , Barak Raveh , Dan Halperin

This paper presents a mixed-integer quadratic programming formulation of an existing data-driven approach to computational elasticity. This formulation is suitable for application of a standard mixed-integer programming solver, which finds…

Optimization and Control · Mathematics 2019-09-17 Yoshihiro Kanno

Global optimization of decision trees is a long-standing challenge in combinatorial optimization, yet such models play an important role in interpretable machine learning. Although the problem has been investigated for several decades, only…

Machine Learning · Computer Science 2026-02-03 Jiancheng Tu , Wenqi Fan , Zhibin Wu

Conventional magneto-static finite element analysis of electrical machine design is time-consuming and computationally expensive. Since each machine topology has a distinct set of parameters, design optimization is commonly performed…

Machine Learning · Computer Science 2022-10-05 Vivek Parekh , Dominik Flore , Sebastian Schöps

This paper introduces a local planner that synergizes the decision making and trajectory planning modules towards autonomous driving. The decision making and trajectory planning tasks are jointly formulated as a nonlinear programming…

Robotics · Computer Science 2024-12-02 Wenru Liu , Haichao Liu , Lei Zheng , Zhenmin Huang , Jun Ma

We present a centralized algorithmic framework for solving multi-robot path planning problems in general, two-dimensional, continuous environments while minimizing globally the task completion time. The framework obtains high levels of…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Daniela Rus

This paper presents a spatial-based trajectory planning method for automated vehicles under actuator, obstacle avoidance, and vehicle dimension constraints. Starting from a nonlinear kinematic bicycle model, vehicle dynamics are transformed…

Systems and Control · Computer Science 2017-07-24 Mogens Graf Plessen , Pedro F. Lima , Jonas Martensson , Alberto Bemporad , Bo Wahlberg

E-powertrain of future electric vehicles could consist of energy generation units (e.g., fuel cells and photovoltaic modules), energy storage systems (e.g., batteries and supercapacitors), energy conversion units (e.g., bidirectional DC/DC…

Optimization and Control · Mathematics 2020-12-09 Erfan Mohagheghi , Joan Gubianes Gasso , Abebe Geletu , Pu Li

In the present paper, an integrated paradigm for topology optimization on complex surfaces with arbitrary genus is proposed. The approach is constructed based on the two-dimensional (2D) Moving Morphable Component (MMC) framework, where a…

Optimization and Control · Mathematics 2022-02-03 Wendong Huo , Chang Liu , Zongliang Du , Xudong Jiang , Zhengyu Liu , Xu Guo

We investigate time-optimal Multi-Robot Coverage Path Planning (MCPP) for both unweighted and weighted terrains, which aims to minimize the coverage time, defined as the maximum travel time of all robots. Specifically, we focus on a…

Robotics · Computer Science 2023-08-14 Jingtao Tang , Hang Ma
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