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There is a growing body of work on sorting and selection in models other than the unit-cost comparison model. This work is the first treatment of a natural stochastic variant of the problem where the cost of comparing two elements is a…

Data Structures and Algorithms · Computer Science 2007-10-02 Stanislav Angelov , Keshav Kunal , Andrew McGregor

The unordered tree edit distance is a natural metric to compute distances between trees without intrinsic child order, such as representations of chemical molecules. While the unordered tree edit distance is MAX SNP-hard in principle, it is…

Artificial Intelligence · Computer Science 2022-02-11 Benjamin Paaßen

In a directed graph $G$ with non-correlated edge lengths and costs, the \emph{network design problem with bounded distances} asks for a cost-minimal spanning subgraph subject to a length bound for all node pairs. We give a bi-criteria…

Data Structures and Algorithms · Computer Science 2014-09-24 Markus Chimani , Joachim Spoerhase

The speed of modern digital systems is severely limited by memory latency (the ``Memory Wall'' problem). Data exchange between Logic and Memory is also responsible for a large part of the system energy consumption. Logic--In--Memory (LiM)…

Hardware Architecture · Computer Science 2023-04-14 Fabrizio Ottati , Giovanna Turvani , Marco Vacca , Guido Masera

The parametric shortest path problem is to find the shortest paths in graph where the edge costs are of the form w_ij+lambda where each w_ij is constant and lambda is a parameter that varies. The problem is to find shortest path trees for…

Data Structures and Algorithms · Computer Science 2015-06-02 Neal Young , Robert Tarjan , James Orlin

We consider the problem of online Min-cost Perfect Matching with Delays (MPMD) recently introduced by Emek et al, (STOC 2016). This problem is defined on an underlying $n$-point metric space. An adversary presents real-time requests online…

Data Structures and Algorithms · Computer Science 2016-10-18 Yossi Azar , Ashish Chiplunkar , Haim Kaplan

We study asynchronous finite sum minimization in a distributed-data setting with a central parameter server. While asynchrony is well understood in parallel settings where the data is accessible by all machines -- e.g., modifications of…

Machine Learning · Computer Science 2021-03-11 Margalit Glasgow , Mary Wootters

Asymptotically tight lower bounds are derived for the Input/Output (I/O) complexity of a class of dynamic programming algorithms including matrix chain multiplication, optimal polygon triangulation, and the construction of optimal binary…

Data Structures and Algorithms · Computer Science 2024-10-29 Lorenzo De Stefani , Vedant Gupta

We present semi-streaming algorithms for basic graph problems that have optimal per-edge processing times and therefore surpass all previous semi-streaming algorithms for these tasks. The semi-streaming model, which is appropriate when…

Discrete Mathematics · Computer Science 2007-09-03 Mariano Zelke

Many problems that can be solved in quadratic time have bit-parallel speed-ups with factor $w$, where $w$ is the computer word size. For example, edit distance of two strings of length $n$ can be solved in $O(n^2/w)$ time. In a reasonable…

Quantum Physics · Physics 2023-02-07 Massimo Equi , Arianne Meijer-van de Griend , Veli Mäkinen

In the Online Machine Covering problem jobs, defined by their sizes, arrive one by one and have to be assigned to $m$ parallel and identical machines, with the goal of maximizing the load of the least-loaded machine. In this work, we study…

Data Structures and Algorithms · Computer Science 2021-10-28 Susanne Albers , Waldo Gálvez , Maximilian Janke

Traditional techniques for synchronization are based on \emph{locking} that provides threads with exclusive access to shared data. \emph{Coarse-grained} locking typically forces threads to access large amounts of data sequentially and,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-06 Srivatsan Ravi

We present a near-linear time algorithm that approximates the edit distance between two strings within a polylogarithmic factor; specifically, for strings of length n and every fixed epsilon>0, it can compute a (log n)^O(1/epsilon)…

Data Structures and Algorithms · Computer Science 2010-05-24 Alexandr Andoni , Robert Krauthgamer , Krzysztof Onak

For many algorithmic problems, traditional algorithms that optimise on the number of instructions executed prove expensive on I/Os. Novel and very different design techniques, when applied to these problems, can produce algorithms that are…

Data Structures and Algorithms · Computer Science 2010-05-20 Alka

We study the NP-hard problem of approximating a Minimum Routing Cost Spanning Tree in the message passing model with limited bandwidth (CONGEST model). In this problem one tries to find a spanning tree of a graph $G$ over $n$ nodes that…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-06 Alexandra Hochuli , Stephan Holzer , Roger Wattenhofer

Cumulative memory -- the sum of space used per step over the duration of a computation -- is a fine-grained measure of time-space complexity that was introduced to analyze cryptographic applications like password hashing. It is a more…

Computational Complexity · Computer Science 2023-07-06 Paul Beame , Niels Kornerup

The energy efficiency of analog forms of computing makes it one of the most promising candidates to deploy resource-hungry machine learning tasks on resource-constrained system such as mobile or embedded devices. However, it is well known…

Hardware Architecture · Computer Science 2023-09-26 Lisa Kuhn , Bernhard Klein , Holger Fröning

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

While well-known methods to list the intersections of either a list of segments or a complex polygon aim at achieving optimal time-complexity they often do so at the cost of memory comsumption and complex code. Real-life software…

Computational Geometry · Computer Science 2013-05-28 Jean Souviron

Memory-hard functions (MHF) are functions whose evaluation cost is dominated by memory cost. MHFs are egalitarian, in the sense that evaluating them on dedicated hardware (like FPGAs or ASICs) is not much cheaper than on off-the-shelf…

Cryptography and Security · Computer Science 2017-07-11 Joel Alwen , Jeremiah Blocki , Krzysztof Pietrzak