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In this article, we present a family of numerical approaches to solve high-dimensional linear non-symmetric problems. The principle of these methods is to approximate a function which depends on a large number of variates by a sum of tensor…

Functional Analysis · Mathematics 2012-10-26 Eric Cances , Virginie Ehrlacher , Tony Lelievre

We study Matching and other related problems in a partial information setting where the agents' utilities for being matched to other agents are hidden and the mechanism only has access to ordinal preference information. Our model is…

Computer Science and Game Theory · Computer Science 2016-08-03 Elliot Anshelevich , Shreyas Sekar

In this paper, we develop optimal energy scheduling algorithms for $N$-user fading multiple-access channels with energy harvesting to maximize the channel sum-rate, assuming that the side information of both the channel states and energy…

Information Theory · Computer Science 2017-08-04 Zhe Wang , Vaneet Aggarwal , Xiaodong Wang

Customer retention or churn prevention is a challenging task of a telecom operator. One of the effective approaches is to offer some attractive incentive or additional services or money to the subscribers for keeping them engaged and make…

Machine Learning · Statistics 2023-08-25 Piyush Kanti Bhunre , Tanmay Sen , Arijit Sarkar

Electrified heating systems with thermal storage, such as electric boilers and heat pumps, represent a major source of demand-side flexibility. Under current electricity market designs, balance responsible parties (BRPs) operating such…

Systems and Control · Electrical Eng. & Systems 2026-02-20 Alessandro Quattrociocchi , Manisha Talukdar , Pere Izquierdo Gómez , Tomislav Dragicevic

We consider the problem of forwarding packets arriving online with their destinations in a line network. In each time step, each router can forward one packet along the edge to its right. Each packet that is forwarded arrives at the next…

Data Structures and Algorithms · Computer Science 2026-03-09 Joan Boyar , Lene M. Favrholdt , Kim S. Larsen , Kevin Schewior , Rob van Stee

Collective communications are ubiquitous in parallel applications. We present two new algorithms for performing a reduction. The operation associated with our reduction needs to be associative and commutative. The two algorithms are…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-18 Bradley R. Lowery , Julien Langou

We empirically analyze a simple heuristic for large sparse set cover problems. It uses the weighted greedy algorithm as a basic building block. By multiplicative updates of the weights attached to the elements, the greedy solution is…

Data Structures and Algorithms · Computer Science 2020-10-30 Marc Alexa

In a standard NP-complete optimization problem we introduce an interpolating algorithm between the quick decrease along the gradient (greedy dynamics) and a slow decrease close to the level curves (reluctant dynamics). We find that for a…

Mathematical Physics · Physics 2007-05-23 P. Contucci , C. Giardina' , C. Giberti , F. Unguendoli , C. Vernia

The rapid proliferation of food delivery platforms has reshaped urban mobility but has also contributed significantly to environmental degradation through increased greenhouse gas emissions. Existing optimization mechanisms produce…

Data Structures and Algorithms · Computer Science 2025-07-22 Aqsa Ashraf Makhdomi , Iqra Altaf Gillani

The Reverse Greedy algorithm (RGreedy) for the k-median problem works as follows. It starts by placing facilities on all nodes. At each step, it removes a facility to minimize the resulting total distance from the customers to the remaining…

Data Structures and Algorithms · Computer Science 2015-06-02 Marek Chrobak , Claire Kenyon , Neal E. Young

In this paper, we consider the electricity cost minimization problem in a residential network where each community is equipped with a distributed power generation source and every household in the community has a set of essential and…

Optimization and Control · Mathematics 2012-12-11 Yi Liu , Naveed Ul Hassan , Shisheng Huang , Chau Yuen

In this paper we develop a procedure to deal with a family of parameter-dependent ill-posed problems, for which the exact solution in general does not exist. The original problems are relaxed by considering corresponding approximate ones,…

Analysis of PDEs · Mathematics 2022-06-29 Martin Lazar , Enrique Zuazua

With increasing energy prices, low income households are known to forego or minimize the use of electricity to save on energy costs. If a household is on a prepaid electricity program, it can be automatically and immediately disconnected…

Systems and Control · Electrical Eng. & Systems 2024-08-28 Maitreyee Marathe , Line A. Roald

We consider the problem of online allocation (matching and assortments) of reusable resources where customers arrive sequentially in an adversarial fashion and allocated resources are used or rented for a stochastic duration that is drawn…

Data Structures and Algorithms · Computer Science 2022-07-20 Vineet Goyal , Garud Iyengar , Rajan Udwani

The Coin Change problem, also known as the Change-Making problem, is a well-studied combinatorial optimization problem, which involves minimizing the number of coins needed to make a specific change amount using a given set of coin…

Computational Complexity · Computer Science 2024-11-28 Shreya Gupta , Boyang Huang , Russell Impagliazzo

We study sublinear time algorithms for estimating the size of maximum matching in graphs. Our main result is a $(\frac{1}{2}+\Omega(1))$-approximation algorithm which can be implemented in $O(n^{1+\epsilon})$ time, where $n$ is the number…

Data Structures and Algorithms · Computer Science 2022-06-28 Soheil Behnezhad , Mohammad Roghani , Aviad Rubinstein , Amin Saberi

It is known that greedy methods perform well for maximizing monotone submodular functions. At the same time, such methods perform poorly in the face of non-monotonicity. In this paper, we show - arguably, surprisingly - that invoking the…

Machine Learning · Computer Science 2017-04-07 Moran Feldman , Christopher Harshaw , Amin Karbasi

This paper deals with the market-bidding problem of a cluster of price-responsive consumers of electricity. We develop an inverse optimization scheme that, recast as a bilevel programming problem, uses price-consumption data to estimate the…

Optimization and Control · Mathematics 2015-11-04 Javier Saez-Gallego , Juan M. Morales , Marco Zugno , Henrik Madsen

Greedy algorithms are widely used for problems in machine learning such as feature selection and set function optimization. Unfortunately, for large datasets, the running time of even greedy algorithms can be quite high. This is because for…

Machine Learning · Statistics 2017-03-09 Rajiv Khanna , Ethan Elenberg , Alexandros G. Dimakis , Sahand Negahban , Joydeep Ghosh
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