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Current inverse treatment planning methods that optimize both catheter positions and dwell times in prostate HDR brachytherapy use surrogate linear or quadratic objective functions that have no direct interpretation in terms of dose-volume…

Medical Physics · Physics 2014-08-13 Bram L. Gorissen , Dick den Hertog , Aswin L. Hoffmann

In this paper, we propose a low-rank coordinate descent approach to structured semidefinite programming with diagonal constraints. The approach, which we call the Mixing method, is extremely simple to implement, has no free parameters, and…

Optimization and Control · Mathematics 2026-05-12 Po-Wei Wang , Wei-Cheng Chang , J. Zico Kolter

With the growing penetration of electric trucks, freight transportation is transitioning toward a mixed system comprising both fuel-powered and electric trucks. Enhancing truck platoon formation in such a heterogeneous environment presents…

Optimization and Control · Mathematics 2025-07-22 Ying Wang , Ting Bai , Andreas A. Malikopoulos

This paper presents a heuristic approach for solving the placement of Analog and Mixed-Signal Integrated Circuits. Placement is a crucial step in the physical design of integrated circuits. During this step, designers choose the position…

Neural and Evolutionary Computing · Computer Science 2024-11-14 Josef Grus , Zdeněk Hanzálek

In this paper we accomplish the development of the fast rank-adaptive solver for tensor-structured symmetric positive definite linear systems in higher dimensions. In [arXiv:1301.6068] this problem is approached by alternating minimization…

Numerical Analysis · Mathematics 2014-10-07 Sergey V. Dolgov , Dmitry V. Savostyanov

In recent advances in solving the problem of transmission network expansion planning, the use of robust optimization techniques has been put forward, as an alternative to stochastic mathematical programming methods, to make the problem…

Computational Engineering, Finance, and Science · Computer Science 2016-09-28 Roberto Minguez , Raquel Garcia-Bertrand

Modular robots have the potential to revolutionize automation, as one can optimize their composition for any given task. However, finding optimal compositions is non-trivial. In addition, different compositions require different base…

Robotics · Computer Science 2026-03-10 Matthias Mayer , Matthias Althoff

The exponential computational cost of describing strongly correlated electrons can be mitigated by adopting a reduced density-matrix (RDM)-based description of the electronic structure. While variational two-electron RDM (v2RDM) methods can…

Chemical Physics · Physics 2026-01-06 Grier M. Jones , Run. R. Li , A. Eugene DePrince , Konstantinos D. Vogiatzis

The large-scale access of electric vehicles to the power grid not only provides flexible adjustment resources for the power system, but the temporal uncertainty and distribution complexity of their energy interaction pose significant…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Hengyu Liu , Yanhong Luo , Congcong Wu , Yin Guan , Ahmed Lotfy Elrefai , Andreas Elombo , Si Li , Sahban Wael Saeed Alnaser , Mingyu Yan

In the electric system, extreme weather events can cause trips or physical damage to transmission lines, leading to large-scale load shedding. To mitigate power shedding, we propose a framework that pre-positions the commitment of…

Optimization and Control · Mathematics 2026-04-07 Yongzheng Dai , Antonio J. Conejo , Feng Qiu

The vertical alignment optimization problem in road design seeks the optimal vertical alignment of a road at minimal cost, taking into account earthwork while meeting all safety and design requirements. In recent years, modelling techniques…

Optimization and Control · Mathematics 2025-09-30 Sayan Sadhukhan , Warren Hare , Yves Lucet

In this paper we formulate a dynamic mixed integer program for optimally zoning curbside parking spaces subject to transportation policy-inspired constraints and regularization terms. First, we illustrate how given some objective of curb…

Optimization and Control · Mathematics 2022-07-22 Nawaf Nazir , Shushman Choudhury , Stephen Zoepf , Ke Ma , Chase Dowling

Sampling Boltzmann probability distributions plays a key role in machine learning and optimization, motivating the design of hardware accelerators such as Ising machines. While the Ising model can in principle encode arbitrary optimization…

Machine Learning · Computer Science 2025-08-01 Corentin Delacour , M Mahmudul Hasan Sajeeb , Joao P. Hespanha , Kerem Y. Camsari

We consider the efficiency of multiplexing spatially encoded information across random configurations of a metasurface-programmable chaotic cavity in the microwave domain. The distribution of the effective rank of the channel matrix is…

Applied Physics · Physics 2020-08-05 Philipp del Hougne , Dmitry V. Savin , Olivier Legrand , Ulrich Kuhl

Rotary positional embedding has become the state-of-the-art approach to encode position information in transformer-based models. While it is often succinctly expressed in complex linear algebra, we note that the actual implementation of…

Machine Learning · Computer Science 2026-04-02 Beicheng Lou , Zifei Xu , Vivian W. H. Wong

This work presents comprehensive energy management and in-depth energy footprint analysis of an electrified strong parallel commercial vehicle. We use the PS3 framework, validated real-world powertrain system models, and Pareto-optimal…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Hamza Anwar , Aashrith Vishwanath , Apurva Chunodkar , Qadeer Ahmed

The electric power distribution network (PDN) and the transportation network (TN) are generally operated/coordinated by different entities. However, they are coupled with each other due to electric vehicle charging stations (EVCSs). This…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Santosh Sharma , Qifeng Li

Optimal distribution of power among generating units to meet a specific demand subject to system constraints is an ongoing research topic in the power system community. The problem, even in a static setting, turns out to be hard to solve…

Optimization and Control · Mathematics 2014-07-17 Michael Azzam , S. Easter Selvan , Augustin Lefèvre , P. -A. Absil

Machine learning has become a promising approach for molecular modeling. Positional quantities, such as interatomic distances and bond angles, play a crucial role in molecule physics. The existing works rely on careful manual design of…

Machine Learning · Computer Science 2022-11-24 Xiang Gao , Weihao Gao , Wenzhi Xiao , Zhirui Wang , Chong Wang , Liang Xiang

Many real-world problems can be formulated as the alignment between two geometric patterns. Previously, a great amount of research focus on the alignment of 2D or 3D patterns in the field of computer vision. Recently, the alignment problem…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Hu Ding , Wenjie Liu , Mingquan Ye