Search Results - "Kulik, Ariel"
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1
Computing Generalized Convolutions Faster Than Brute Force
Published in Algorithmica (01-01-2024)“…In this paper, we consider a general notion of convolution. Let D be a finite domain and let D n be the set of n -length vectors (tuples) of D . Let f : D × D…”
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Journal Article -
2
An FPTAS for budgeted laminar matroid independent set
Published in Operations research letters (01-11-2023)“…We study the budgeted laminar matroid independent set problem. The input is a ground set, where each element has a cost and a non-negative profit, along with a…”
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3
Improved approximation for two-dimensional vector multiple knapsack
Published in Computational geometry : theory and applications (01-01-2025)“…We study the uniform 2-dimensional vector multiple knapsack (2VMK) problem, a natural variant of multiple knapsack arising in real-world applications such as…”
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4
Approximations for Monotone and Nonmonotone Submodular Maximization with Knapsack Constraints
Published in Mathematics of operations research (01-11-2013)“…Submodular maximization generalizes many fundamental problems in discrete optimization, including Max-Cut in directed/undirected graphs, maximum coverage,…”
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5
Analysis of Two-variable Recurrence Relations with Application to Parameterized Approximations
Published in 2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS) (01-11-2020)“…In this paper we introduce randomized branching as a tool for parameterized approximation and develop the mathematical machinery for its analysis. Our…”
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Conference Proceeding -
6
A refined analysis of submodular Greedy
Published in Operations research letters (01-07-2021)“…Many algorithms for maximizing a monotone submodular function subject to a knapsack constraint rely on the natural greedy heuristic. We present a novel refined…”
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7
On Lagrangian relaxation for constrained maximization and reoptimization problems
Published in Discrete Applied Mathematics (15-06-2021)“…We prove a general result demonstrating the power of Lagrangian relaxation in solving constrained maximization problems with arbitrary objective functions…”
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8
There is no EPTAS for two-dimensional knapsack
Published in Information processing letters (31-07-2010)“…In the d-dimensional ( vector) knapsack problem given is a set of items, each having a d-dimensional size vector and a profit, and a d-dimensional bin. The…”
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Journal Article -
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Improved Approximations for Vector Bin Packing via Iterative Randomized Rounding
Published in 2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS) (06-11-2023)“…We study the d-DIMENSIONAL VECTOR BIN PACKING (d \mathbf{V B P}) problem, a generalization of BIN PACKING with central applications in resource allocation and…”
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Conference Proceeding -
10
An almost optimal approximation algorithm for monotone submodular multiple knapsack
Published in Journal of computer and system sciences (01-05-2022)“…We study the problem of maximizing a monotone submodular function subject to a Multiple Knapsack constraint. The input is a set I of items, each has a…”
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Journal Article -
11
Data Plane Cooperative Caching With Dependencies
Published in IEEE eTransactions on network and service management (01-09-2022)“…Caching is at the core of most modern communication systems, where caches are used to store content and traffic classification rules. While network components…”
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12
Sampling with a Black Box: Faster Parameterized Approximation Algorithms for Vertex Deletion Problems
Published 17-07-2024“…In this paper we introduce Sampling with a Black Box, a generic technique for the design of parameterized approximation algorithms for vertex deletion problems…”
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13
Approximation schemes for deal splitting and covering integer programs with multiplicity constraints
Published in Theoretical computer science (09-12-2011)“…We consider the problem of splitting an order for R goods, R ≥ 1 , among a set of sellers, each having bounded amounts of the goods, so as to minimize the…”
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Journal Article -
14
Fine Grained Lower Bounds for Multidimensional Knapsack
Published 14-07-2024“…We study the $d$-dimensional knapsack problem. We are given a set of items, each with a $d$-dimensional cost vector and a profit, along with a $d$-dimensional…”
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15
Unsplittable Flow on a Short Path
Published 14-07-2024“…In the Unsplittable Flow on a Path problem UFP, we are given a path graph with edge capacities and a collection of tasks. Each task is characterized by a…”
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16
An EPTAS for Cardinality Constrained Multiple Knapsack via Iterative Randomized Rounding
Published 24-08-2023“…In [Math. Oper. Res., 2011], Fleischer et al. introduced a powerful technique for solving the generic class of separable assignment problems (SAP), in which a…”
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17
Lower Bounds for Matroid Optimization Problems with a Linear Constraint
Published 15-07-2023“…We study a family of matroid optimization problems with a linear constraint (MOL). In these problems, we seek a subset of elements which optimizes (i.e.,…”
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Journal Article -
18
Budgeted Matroid Maximization: a Parameterized Viewpoint
Published 09-07-2023“…We study budgeted variants of well known maximization problems with multiple matroid constraints. Given an $\ell$-matchoid $\cm$ on a ground set $E$, a profit…”
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Journal Article -
19
Improved Approximation for Two-dimensional Vector Multiple Knapsack
Published 05-07-2023“…We study the uniform $2$-dimensional vector multiple knapsack (2VMK) problem, a natural variant of multiple knapsack arising in real-world applications such as…”
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Journal Article -
20
An FPTAS for Budgeted Laminar Matroid Independent Set
Published 27-04-2023“…We study the budgeted laminar matroid independent set problem. The input is a ground set, where each element has a cost and a non-negative profit, along with a…”
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Journal Article