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Understanding the feasible power flow region is of central importance to power system analysis. In this paper, we propose a geometric view of the power system loadability problem. By using rectangular coordinates for complex voltages, we…

Optimization and Control · Mathematics 2018-07-31 Y. Weng , R. Rajagopal , B. Zhang

Population growth and increasing droughts are creating unprecedented strain on the continued availability of water resources. Since irrigation is a major consumer of fresh water, wastage of resources in this sector could have strong…

Machine Learning · Computer Science 2016-12-12 Hans Krupakar , Akshay Jayakumar , Dhivya G

There exist many criteria for the optimal design of water distribution networks. One of the most common criteria is to design the optimal cost water distribution network while satisfying the hydraulic design constraints. This study was…

Optimization and Control · Mathematics 2023-08-23 K. H. M. R. N. Senavirathna , C. K. Walgampaya

Inverter-based microgrids are an important technology for sustainable electrical power systems and typically use droop-controlled grid-forming inverters to interface distributed energy resources to the network and control the voltage and…

Optimization and Control · Mathematics 2020-03-12 Yemi Ojo , Jeremy Watson , Ioannis Lestas

In view of the node importance in weighted networks, weighted expected method (WEM), was proposed in this paper, which take an advantages of uncertain graph algorithm. First, a weight processing method is proposed based on the relationship…

Social and Information Networks · Computer Science 2021-11-23 Linjie Chen , Na Zhao , Jie Li , Zhen Long , Ming Jing , Jian Wang

In this paper, we consider a Borel measurable map of a compact metric space which admits an inducing scheme. Under the finite weighted complexity condition, we establish a thermodynamic formalism for a parameter family of potentials…

Dynamical Systems · Mathematics 2023-02-27 Jianyu Chen , Fang Wang , Hong-Kun Zhang

A novel framework for density estimation under expectation constraints is proposed. The framework minimizes the Wasserstein distance between the estimated density and a prior, subject to the constraints that the expected value of a set of…

Machine Learning · Statistics 2026-02-24 Yinan Hu , Esteban G. Tabak

Moss and Rabani[12] study constrained node-weighted Steiner tree problems with two independent weight values associated with each node, namely, cost and prize (or penalty). They give an O(log n)-approximation algorithm for the…

Data Structures and Algorithms · Computer Science 2013-04-30 MohammadHossein Bateni , MohammadTaghi Hajiaghayi , Vahid Liaghat

A (pseudo-)metric $D$ on a finite set $X$ is said to be a `tree metric' if there is a finite tree with leaf set $X$ and non-negative edge weights so that, for all $x,y \in X$, $D(x,y)$ is the path distance in the tree between $x$ and $y$.…

Combinatorics · Mathematics 2013-07-30 Andreas Dress , Katharina Huber , Mike Steel

This paper studies large dam models where the difference between lower and upper levels, $L$, is assumed to be large. Passage across the levels leads to damage, and the damage costs of crossing the lower or upper level are proportional to…

Probability · Mathematics 2010-12-22 Vyacheslav M. Abramov

We consider three different schemes for signal routing on a tree. The vertices of the tree represent transceivers that can transmit and receive signals, and are equipped with i.i.d. weights representing the strength of the transceivers. The…

Probability · Mathematics 2014-07-14 Maria Deijfen , Nina Gantert

Traditional algorithm analysis treats all basic operations as equally costly, which hides significant differences in time, energy consumption, and cost between different types of computations on modern processors. We propose a…

Performance · Computer Science 2025-08-20 Sergii Kavun

The integration of more intermittent generation, energy storage, and dynamic loads on top of a competitive market environment requires future grids to handle increasing diversity of power injection states. Grid planners need new tools and…

Applied Physics · Physics 2019-04-18 A. E. Tio , D. J. Hill , J. Ma

Iterative Magnitude Pruning (IMP) is a network pruning method that repeats the process of removing weights with the least magnitudes and retraining the model. When visualizing the weight matrices of language models pruned by IMP, previous…

Computation and Language · Computer Science 2021-09-21 Dongjun Park , Geung-Hee Lee

This paper investigates the a-posteriori analysis of Branch-and-Bound~(BB) trees to extract structural information about the feasible region of mixed-binary linear programs. We introduce three novel outer approximations of the feasible…

Optimization and Control · Mathematics 2025-10-14 Marius Roland , Nagisa Sugishita , Alexandre Forel , Youssouf Emine , Ricardo Fukasawa , Thibaut Vidal

In recent years, there has been an effort to extend the classical notion of phylogenetic balance, originally defined in the context of trees, to networks. One of the most natural ways to do this is with the so-called $B_2$ index. In this…

Populations and Evolution · Quantitative Biology 2024-07-30 François Bienvenu , Jean-Jil Duchamps , Michael Fuchs , Tsan-Cheng Yu

Optimization problems with the objective function in the form of weighted sum and linear equality constraints are considered. Given that the number of local cost functions can be large as well as the number of constraints, a stochastic…

Optimization and Control · Mathematics 2026-05-26 Nataša Krejić , Nataša Krklec Jerinkić , Sanja Rapajić , Luka Rutešić

The traditional multi-commodity flow problem assumes a given flow network in which multiple commodities are to be maximally routed in response to given demands. This paper considers the multi-commodity flow network-design problem: given a…

Data Structures and Algorithms · Computer Science 2015-06-02 Samir Khuller , Balaji Raghavachari , Neal E. Young

Clustering ensemble, or consensus clustering, has emerged as a powerful tool for improving both the robustness and the stability of results from individual clustering methods. Weighted clustering ensemble arises naturally from clustering…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Mimi Zhang

We study three different kinds of embeddings of tree patterns: weakly-injective, ancestor-preserving, and lca-preserving. While each of them is often referred to as injective embedding, they form a proper hierarchy and their computational…

Databases · Computer Science 2012-05-01 Jakub Michaliszyn , Anca Muscholl , Sławek Staworko , Piotr Wieczorek , Zhilin Wu