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We present a greedy algorithm for computing selected eigenpairs of a large sparse matrix $H$ that can exploit localization features of the eigenvector. When the eigenvector to be computed is localized, meaning only a small number of its…

Computational Physics · Physics 2021-02-09 Taylor M. Hernandez , Roel Van Beeumen , Mark A. Caprio , Chao Yang

In the cup game, an adversary distributes 1 unit of water among $n$ cups every time step. The player then selects a single cup from which to remove 1 unit of water. In the bamboo trimming problem, the adversary must choose fixed rates for…

Data Structures and Algorithms · Computer Science 2026-02-24 Kalina Jasińska , John Kuszmaul , Gyudong Lee

A cooperative energy scheduling method is proposed that allows joint energy optimization for a group of microgrids to achieve cost savings that the microgrids could not achieve individually. The discussed microgrids may be commercial…

Systems and Control · Electrical Eng. & Systems 2020-02-03 Amir Valibeygi , Raymond A de Callafon

The growing share of intermittent renewable energy sources, storage technologies, and the increasing degree of so-called sector coupling necessitates optimization-based energy system models with high temporal and spatial resolutions, which…

Optimization and Control · Mathematics 2021-11-24 Maximilian Hoffmann , Leander Kotzur , Detlef Stolten

The problem of online packet scheduling to minimize the required conventional grid energy for transmitting a fixed number of packets given a common deadline is considered. The total number of packets arriving within the deadline is known,…

Information Theory · Computer Science 2016-02-05 Aditya Deshmukh , Rahul Vaze

The arrival of small-scale distributed energy generation in the future smart grid has led to the emergence of so-called prosumers, who can both consume as well as produce energy. By using local generation from renewable energy resources,…

Systems and Control · Computer Science 2016-09-15 Hung Khanh Nguyen , Amin Khodaei , Zhu Han

We consider the control of discrete-time linear dynamical systems using sparse inputs where we limit the number of active actuators at every time step. We develop an algorithm for determining a sparse actuator schedule that ensures the…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Krishna Praveen V. S. Kondapi , Chandrasekhar Sriram , Geethu Joseph , Chandra R. Murthy

We study a fundamental problem in Bayesian learning, where the goal is to select a set of data sources with minimum cost while achieving a certain learning performance based on the data streams provided by the selected data sources. First,…

Machine Learning · Computer Science 2021-05-04 Lintao Ye , Aritra Mitra , Shreyas Sundaram

In this paper, we present a novel algorithm for power allocation in the Amplify-and-Forward cooperative communication that minimizes the outage probability with a given value of total power. We present the problem with new formulation and…

Systems and Control · Computer Science 2012-07-23 Hadi Goudarzi , Mohammad Reza Pakravan

We present a technique that allows for improving on some relative greedy procedures by well-chosen (non-oblivious) local search algorithms. Relative greedy procedures are a particular type of greedy algorithm that start with a simple,…

Data Structures and Algorithms · Computer Science 2021-07-16 Vera Traub , Rico Zenklusen

During network planning phase, optimal network planning implemented through efficient resource allocation and static traffic demand provisioning in IP-over-elastic optical network (IP-over-EON) is significantly challenging compared with the…

Networking and Internet Architecture · Computer Science 2021-11-23 Pramit Biswas , Md Shahbaz Akhtar , Aneek Adhya , Sriparna Saha , Sudhan Majhi

Given a set of $n$ vectors in $\mathbb{R}^d$, the goal of the \emph{determinant maximization} problem is to pick $k$ vectors with the maximum volume. Determinant maximization is the MAP-inference task for determinantal point processes (DPP)…

Data Structures and Algorithms · Computer Science 2023-09-28 Siddharth Gollapudi , Sepideh Mahabadi , Varun Sivashankar

As machine learning algorithms enter applications in industrial settings, there is increased interest in controlling their cpu-time during testing. The cpu-time consists of the running time of the algorithm and the extraction time of the…

Machine Learning · Computer Science 2012-07-03 Zhixiang Xu , Kilian Weinberger , Olivier Chapelle

We consider the problem of approximating a given element $f$ from a Hilbert space $\mathcal{H}$ by means of greedy algorithms and the application of such procedures to the regression problem in statistical learning theory. We improve on the…

Statistics Theory · Mathematics 2009-09-29 Andrew R. Barron , Albert Cohen , Wolfgang Dahmen , Ronald A. DeVore

In dictionary selection, several atoms are selected from finite candidates that successfully approximate given data points in the sparse representation. We propose a novel efficient greedy algorithm for dictionary selection. Not only does…

Machine Learning · Computer Science 2018-09-10 Kaito Fujii , Tasuku Soma

We consider a general task called partial Wasserstein covering with the goal of providing information on what patterns are not being taken into account in a dataset (e.g., dataset used during development) compared with another dataset(e.g.,…

Machine Learning · Computer Science 2021-12-09 Keisuke Kawano , Satoshi Koide , Keisuke Otaki

We show how to leverage quantum annealers (QAs) to better select candidates in greedy algorithms. Unlike conventional greedy algorithms that employ problem-specific heuristics for making locally optimal choices at each stage, we use QAs…

Quantum Physics · Physics 2022-08-04 Ramin Ayanzadeh , John E Dorband , Milton Halem , Tim Finin

A deterministic approximation algorithm is presented for the maximization of non-monotone submodular functions over a ground set of size $n$ subject to cardinality constraint $k$; the algorithm is based upon the idea of interlacing two…

Data Structures and Algorithms · Computer Science 2019-10-28 Alan Kuhnle

The 4th generation of district heating systems face a potential problem where lowered water temperatures lead to higher flow rates, which requires higher hydraulic capacity in terms of pipe and pump sizes. This increases the effect of the…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Felix Agner , Pauline Kergus , Richard Pates , Anders Rantzer

We study the problem of $k$-center clustering with outliers in arbitrary metrics and Euclidean space. Though a number of methods have been developed in the past decades, it is still quite challenging to design quality guaranteed algorithm…

Computational Geometry · Computer Science 2019-04-30 Hu Ding , Haikuo Yu , Zixiu Wang