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Local moments are used for local regression, to compute statistical measures such as sums, averages, and standard deviations, and to approximate probability distributions. We consider the case where the data source is a very large I/O array…

Data Structures and Algorithms · Computer Science 2020-04-28 Daniel Lemire , Owen Kaser

This paper introduces a new fundamental characteristic, \ie, the dynamic range, from real-world metric tools to deep visual recognition. In metrology, the dynamic range is a basic quality of a metric tool, indicating its flexibility to…

Computer Vision and Pattern Recognition · Computer Science 2021-03-23 Yifan Sun , Yuke Zhu , Yuhan Zhang , Pengkun Zheng , Xi Qiu , Chi Zhang , Yichen Wei

We present several new results on one of the most extensively studied topics in computational geometry, orthogonal range searching. All our results are in the standard word RAM model for points in rank space: ** We present two data…

Computational Geometry · Computer Science 2011-03-30 Timothy M. Chan , Kasper Green Larsen , Mihai Patrascu

Despite significant progress in static protein structure collection and prediction, the dynamic behavior of proteins, one of their most vital characteristics, has been largely overlooked in prior research. This oversight can be attributed…

Biomolecules · Quantitative Biology 2024-09-19 Ce Liu , Jun Wang , Zhiqiang Cai , Yingxu Wang , Huizhen Kuang , Kaihui Cheng , Liwei Zhang , Qingkun Su , Yining Tang , Fenglei Cao , Limei Han , Siyu Zhu , Yuan Qi

Real-world applications of reinforcement learning for recommendation and experimentation faces a practical challenge: the relative reward of different bandit arms can evolve over the lifetime of the learning agent. To deal with these…

Machine Learning · Computer Science 2022-06-29 Srivas Chennu , Andrew Maher , Jamie Martin , Subash Prabanantham

This paper presents a new theory, known as robust dynamic pro- gramming, for a class of continuous-time dynamical systems. Different from traditional dynamic programming (DP) methods, this new theory serves as a fundamental tool to analyze…

Optimization and Control · Mathematics 2018-09-18 Tao Bian , Zhong-Ping Jiang

We revisit various string indexing problems with range reporting features, namely, position-restricted substring searching, indexing substrings with gaps, and indexing substrings with intervals. We obtain the following main results.…

Data Structures and Algorithms · Computer Science 2011-08-19 Philip Bille , Inge Li Goertz

In this paper we discuss a concept of dynamic memory and an application of fractional calculus to describe the dynamic memory. The concept of memory is considered from the standpoint of economic models in the framework of continuous time…

Economics · Quantitative Finance 2017-12-27 Valentina V. Tarasova , Vasily E. Tarasov

The intrinsic dimensionality refers to the ``true'' dimensionality of the data, as opposed to the dimensionality of the data representation. For example, when attributes are highly correlated, the intrinsic dimensionality can be much lower…

Machine Learning · Statistics 2020-11-30 Erik Thordsen , Erich Schubert

In this paper, we present, to our knowledge, the first known I/O efficient solutions for computing the k-bisimulation partition of a massive directed graph, and performing maintenance of such a partition upon updates to the underlying…

Databases · Computer Science 2013-05-03 Yongming Luo , George H. L. Fletcher , Jan Hidders , Yuqing Wu , Paul De Bra

In the setting of nonstandard analysis we introduce the notion of flexible sequence. The terms of flexible sequences are external numbers. These are a sort of analogue for the classical \emph{O$ (\cdot ) $} and \emph{o$ (\cdot ) $} notation…

Logic · Mathematics 2019-09-17 Bruno Dinis , Tran Van Nam , Imme van den Berg

Differential privacy is the de-facto privacy standard in data analysis. The classic model of differential privacy considers the data to be static. The dynamic setting, called differential privacy under continual observation, captures many…

Data Structures and Algorithms · Computer Science 2023-06-21 Monika Henzinger , A. R. Sricharan , Teresa Anna Steiner

This brief introduces a read bias circuit to improve readout yield of magnetic random access memories (MRAMs). A dynamic bias optimization (DBO) circuit is proposed to enable the real-time tracking of the optimal read voltage across…

Signal Processing · Electrical Eng. & Systems 2023-09-19 Renhe Chen , Albert Lee , Zirui Wang , Di Wu , Xufeng Kou

Let $\mathcal{D}$ be a collection of $D$ documents, which are strings over an alphabet of size $\sigma$, of total length $n$. We describe a data structure that uses linear space and and reports $k$ most relevant documents that contain a…

Data Structures and Algorithms · Computer Science 2013-08-02 Gonzalo Navarro , Yakov Nekrich

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

In a dynamic retrieval system, documents must be ingested as they arrive, and be immediately findable by queries. Our purpose in this paper is to describe an index structure and processing regime that accommodates that requirement for…

Information Retrieval · Computer Science 2023-01-12 Alistair Moffat , Joel Mackenzie

Modern cloud databases present scaling as a binary decision: scale-out by adding nodes or scale-up by increasing per-node resources. This one-dimensional view is limiting because database performance, cost, and coordination overhead emerge…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Shahir Abdullah , Syed Rohit Zaman

We introduce data structures answering queries concerning the occurrences of patterns from a given dictionary $\mathcal{D}$ in fragments of a given string $T$ of length $n$. The dictionary is internal in the sense that each pattern in…

Data Structures and Algorithms · Computer Science 2019-09-26 Panagiotis Charalampopoulos , Tomasz Kociumaka , Manal Mohamed , Jakub Radoszewski , Wojciech Rytter , Tomasz Waleń

We address the problem of efficiently and informatively quantifying how multiplets of variables carry information about the future of the dynamical system they belong to. In particular we want to identify groups of variables carrying…

Neurons and Cognition · Quantitative Biology 2020-08-03 Sebastiano Stramaglia , Tomas Scagliarini , Bryan C. Daniels , Daniele Marinazzo

The never-ending demand for high performance and energy efficiency is pushing designers towards an increasing level of heterogeneity and specialization in modern computing systems. In such systems, creating efficient memory architectures is…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-20 Stephanie Soldavini , Christian Pilato