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We consider the problem of sorting $n$ items, given the outcomes of $m$ pre-existing comparisons. We present a simple and natural deterministic algorithm that runs in $O(m + \log T)$ time and does $O(\log T)$ comparisons, where $T$ is the…

Data Structures and Algorithms · Computer Science 2026-05-06 Bernhard Haeupler , Richard Hladík , John Iacono , Vaclav Rozhon , Robert Tarjan , Jakub Tětek

We investigate distributed memory parallel sorting algorithms that scale to the largest available machines and are robust with respect to input size and distribution of the input elements. The main outcome is that four sorting algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-17 Michael Axtmann , Peter Sanders

Various decision support systems are available that implement Data Mining and Data Warehousing techniques for diving into the sea of data for getting useful patterns of knowledge (pearls). Classification, regression, clustering, and many…

Cryptography and Security · Computer Science 2024-03-01 Mohammad Khalid Imam Rahmani

This paper is motivated by the vision of more efficient packet classification mechanisms that self-optimize in a demand-aware manner. At the heart of our approach lies a self-adjusting linear list data structure, where unlike in the classic…

Data Structures and Algorithms · Computer Science 2021-10-01 Maciej Pacut , Juan Vanerio , Vamsi Addanki , Arash Pourdamghani , Gabor Retvari , Stefan Schmid

When algorithms for sorting and searching are applied to keys that are represented as bit strings, we can quantify the performance of the algorithms not only in terms of the number of key comparisons required by the algorithms but also in…

Probability · Mathematics 2009-04-16 James Allen Fill , Take Nakama

In the online checkpointing problem, the task is to continuously maintain a set of k checkpoints that allow to rewind an ongoing computation faster than by a full restart. The only operation allowed is to replace an old checkpoint by the…

Data Structures and Algorithms · Computer Science 2013-05-01 Karl Bringmann , Benjamin Doerr , Adrian Neumann , Jakub Sliacan

Quantum trajectory methods can be used for a wide range of open quantum systems to solve the master equation by unraveling the density operator evolution into individual stochastic trajectories in Hilbert space. This C++ class library…

Quantum Physics · Physics 2009-10-30 Ruediger Schack , Todd A. Brun

We present ensmallen, a fast and flexible C++ library for mathematical optimization of arbitrary user-supplied functions, which can be applied to many machine learning problems. Several types of optimizations are supported, including…

Mathematical Software · Computer Science 2018-12-11 Shikhar Bhardwaj , Ryan R. Curtin , Marcus Edel , Yannis Mentekidis , Conrad Sanderson

This paper introduces a new comparison base stable sorting algorithm, named RS sort. RS Sort involves only the comparison of pair of elements in an array which ultimately sorts the array and does not involve the comparison of each element…

Data Structures and Algorithms · Computer Science 2014-07-23 Harsh Ranjan , Sumit Agarwal , Niraj Kumar Singh

Besides tensor contractions, one of the most pronounced computational bottlenecks in the non-orthogonally spin-adapted forms of the quantum chemistry methods CCSDT and CCSDTQ, and their approximate forms---including CCSD(T) and…

Mathematical Software · Computer Science 2017-05-19 Paul Springer , Devin Matthews , Paolo Bientinesi

One approach for reducing run time and improving efficiency of machine learning is to reduce the convergence rate of the optimization algorithm used. Shuffling is an algorithm technique that is widely used in machine learning, but it only…

Machine Learning · Computer Science 2023-06-29 Yuetong Xu , Baharan Mirzasoleiman

Quantum error correction is an essential component for practical quantum computing on noisy quantum hardware. However, logical operations on error-corrected qubits require a significant resource overhead, especially for high-precision and…

Quantum Physics · Physics 2023-03-31 Hyeongrak Choi , Frederic T. Chong , Dirk Englund , Yongshan Ding

We explore the fundamental problem of sorting through the lens of learning-augmented algorithms, where algorithms can leverage possibly erroneous predictions to improve their efficiency. We consider two different settings: In the first…

Data Structures and Algorithms · Computer Science 2023-11-03 Xingjian Bai , Christian Coester

We present four high performance hybrid sorting methods developed for various parallel platforms: shared memory multiprocessors, distributed multiprocessors, and clusters taking advantage of existence of both shared and distributed memory.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Thoria Alghamdi , Gita Alaghband

Real world combinatorial optimization problems such as scheduling are typically too complex to solve with exact methods. Additionally, the problems often have to observe vaguely specified constraints of different importance, the available…

Artificial Intelligence · Computer Science 2007-05-23 Andreas Raggl , Wolfgang Slany

Priority queues are abstract data structures which store a set of key/value pairs and allow efficient access to the item with the minimal (maximal) key. Such queues are an important element in various areas of computer science such as…

Data Structures and Algorithms · Computer Science 2015-09-24 Jakob Gruber

We present a quantum algorithm that additively approximates the value of a tensor network to a certain scale. When combined with existing results, this provides a complete problem for quantum computation. The result is a simple new way of…

Quantum Physics · Physics 2010-02-09 Itai Arad , Zeph Landau

As quantum technologies continue to advance, the proliferation of hardware architectures with diverse capabilities and limitations has underscored the importance of benchmarking as a tool to compare performance across platforms. Achieving…

Quantum Physics · Physics 2025-12-23 David Aguirre , Rubén Peña , Mikel Sanz

Quantum sorter has gained a lot of attention during the last years due to its wide application in quantum information processing and quantum technologies. A challenging task is the construction of a quantum sorter, which collect many…

Quantum Physics · Physics 2019-09-06 Iulia Ghiu

Modern shared memory multiprocessors permit reordering of memory operations for performance reasons. These reorderings are often a source of subtle bugs in programs written for such architectures. Traditional approaches to verify weak…

Software Engineering · Computer Science 2016-02-29 Ganesh Narayanaswamy , Saurabh Joshi , Daniel Kroening