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One utilisation of multidimensional databases is the field of On-line Analytical Processing (OLAP). The applications in this area are designed to make the analysis of shared multidimensional information fast [9]. On one hand, speed can be…

Databases · Computer Science 2011-05-04 István Szépkúti

Data efficiency, despite being an attractive characteristic, is often challenging to measure and optimize for in task-oriented semantic parsing; unlike exact match, it can require both model- and domain-specific setups, which have,…

Computation and Language · Computer Science 2021-07-13 Shrey Desai , Akshat Shrivastava , Justin Rill , Brian Moran , Safiyyah Saleem , Alexander Zotov , Ahmed Aly

We present a highly optimized implementation of tiered vectors, a data structure for maintaining a sequence of $n$ elements supporting access in time $O(1)$ and insertion and deletion in time $O(n^\epsilon)$ for $\epsilon > 0$ while using…

Data Structures and Algorithms · Computer Science 2017-11-02 Philip Bille , Anders Roy Christiansen , Mikko Berggren Ettienne , Inge Li Gørtz

Many approaches to program synthesis perform a combinatorial search within a large space of programs to find one that satisfies a given specification. To tame the search space blowup, previous works introduced probabilistic and neural…

Machine Learning · Computer Science 2024-12-24 Théo Matricon , Nathanaël Fijalkow , Guillaume Lagarde

We introduce an online version of the multiselection problem, in which q selection queries are requested on an unsorted array of n elements. We provide the first online algorithm that is 1-competitive with Kaligosi et al. [ICALP 2005] in…

Data Structures and Algorithms · Computer Science 2018-11-16 Jérémy Barbay , Ankur Gupta , S. Srinivasa Rao , Jonathan Sorenson

Efficient discovery of frequent itemsets in large datasets is a crucial task of data mining. In recent years, several approaches have been proposed for generating high utility patterns, they arise the problems of producing a large number of…

Databases · Computer Science 2012-12-04 B. Adinarayana Reddy , O. Srinivasa Rao , M. H. M. Krishna Prasad

We give the first data structure for the problem of maintaining a dynamic set of n elements drawn from a partially ordered universe described by a tree. We define the Line-Leaf Tree, a linear-sized data structure that supports the…

Data Structures and Algorithms · Computer Science 2011-05-03 Brent Heeringa , Marius Catalin Iordan , Louis Theran

Given a dynamic set $K$ of $k$ strings of total length $n$ whose characters are drawn from an alphabet of size $\sigma$, a keyword dictionary is a data structure built on $K$ that provides locate, prefix search, and update operations on…

Data Structures and Algorithms · Computer Science 2020-10-08 Kazuya Tsuruta , Dominik Köppl , Shunsuke Kanda , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

We consider the dictionary problem in external memory and improve the update time of the well-known buffer tree by roughly a logarithmic factor. For any \lambda >= max {lg lg n, log_{M/B} (n/B)}, we can support updates in time O(\lambda /…

Data Structures and Algorithms · Computer Science 2011-04-15 John Iacono , Mihai Pǎtraşcu

Dictionary learning algorithms have been successfully used for both reconstructive and discriminative tasks, where an input signal is represented with a sparse linear combination of dictionary atoms. While these methods are mostly developed…

Machine Learning · Statistics 2016-01-20 Soheil Bahrampour , Nasser M. Nasrabadi , Asok Ray , W. Kenneth Jenkins

We present a dynamic self-balancing octree data structure that enables efficient neighborhood maintenance in evolving metric spaces, a key challenge in modern machine learning systems. Many learning and generative models operate as…

Machine Learning · Computer Science 2025-04-28 Aditya S Ellendula , Chandrajit Bajaj

Multisets are an intuitive extension of the traditional concept of sets that allow repetition of elements, with the number of times each element appears being understood as the respective multiplicity. Recent generalizations of multisets to…

Emerging Technologies · Computer Science 2021-11-17 Luciano da F. Costa

We show that Automatic Differentiation (AD) operators can be provided in a dynamic language without sacrificing numeric performance. To achieve this, general forward and reverse AD functions are added to a simple high-level dynamic…

Programming Languages · Computer Science 2016-11-11 Jeffrey Mark Siskind , Barak A. Pearlmutter

Suppose that we are given a string $s$ of length $n$ over an alphabet $\{0,1,\ldots,n^{O(1)}\}$ and $\delta$ is the string complexity of $s$, a known compression measure. We describe an index on $s$ with $O(\delta\log\frac{n}{\delta})$…

Data Structures and Algorithms · Computer Science 2026-04-15 Dmitry Kosolobov

We present the first learning-augmented data structure for implementing dictionaries with optimal consistency and robustness. Our data structure, named RobustSL, is a skip list augmented by predictions of access frequencies of elements in a…

Data Structures and Algorithms · Computer Science 2024-02-16 Ali Zeynali , Shahin Kamali , Mohammad Hajiesmaili

We introduce exponential search trees as a novel technique for converting static polynomial space search structures for ordered sets into fully-dynamic linear space data structures. This leads to an optimal bound of O(sqrt(log n/loglog n))…

Data Structures and Algorithms · Computer Science 2007-05-23 Arne Andersson , Mikkel Thorup

Data filtering has become a powerful tool for improving model performance while reducing computational cost. However, as large language model compute budgets continue to grow, the limited data volume provided by heavily filtered and…

Computation and Language · Computer Science 2025-11-07 Alex Fang , Hadi Pouransari , Matt Jordan , Alexander Toshev , Vaishaal Shankar , Ludwig Schmidt , Tom Gunter

A binary trie is a sequential data structure for a dynamic set on the universe $\{0,\dots,u-1\}$ supporting Search with $O(1)$ worst-case step complexity, and Insert, Delete, and Predecessor operations with $O(\log u)$ worst-case step…

Data Structures and Algorithms · Computer Science 2025-09-04 Jeremy Ko

In many machine learning tasks, a common approach for dealing with large-scale data is to build a small summary, {\em e.g.,} coreset, that can efficiently represent the original input. However, real-world datasets usually contain outliers…

Machine Learning · Computer Science 2022-01-24 Zixiu Wang , Yiwen Guo , Hu Ding

We consider a distribution logistics scenario where a shipping operator, managing a limited amount of resources, receives a stream of collection requests, issued by a set of customers along a booking time-horizon, that are referred to a…

Optimization and Control · Mathematics 2023-07-04 Giovanni Giallombardo , Francesca Guerriero , Giovanna Miglionico