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Piecewise Barrier Tubes (PBT) is a new technique for flowpipe overapproximation for nonlinear systems with polynomial dynamics, which leverages a combination of barrier certificates. PBT has advantages over traditional time-step based…

Systems and Control · Electrical Eng. & Systems 2019-07-29 Hui Kong , Ezio Bartocci , Yu Jiang , Thomas A. Henzinger

This paper presents a batch-parallel 2-3 tree T in an asynchronous dynamic multithreading model that supports searches, insertions and deletions in sorted batches and has essentially optimal parallelism, even under the restrictive QRMW…

Data Structures and Algorithms · Computer Science 2021-10-25 Wei Quan Lim

Passive Wi-Fi-based radars (PWRs) are devices that enable the localization of targets using Wi-Fi signals of opportunity transmitted by an access point. Unlike active radars that optimize their transmitted waveform for localization, PWRs…

Signal Processing · Electrical Eng. & Systems 2025-01-13 Martin Willame , Hasan Can Yildirim , Laurent Storrer , Francois Horlin , Jerome Louveaux

As one of Bayesian analysis tools, Hidden Markov Model (HMM) has been used to in extensive applications. Most HMMs are solved by Baum-Welch algorithm (BWHMM) to predict the model parameters, which is difficult to find global optimal…

Machine Learning · Statistics 2018-11-09 L. Chang , Yacine Ouzrout , Antoine Nongaillard , Abdelaziz Bouras

Suffix tree (and the closely related suffix array) are fundamental structures capturing all substrings of a given text essentially by storing all its suffixes in the lexicographical order. In some applications, we work with a subset of $b$…

Data Structures and Algorithms · Computer Science 2016-08-03 Paweł Gawrychowski , Tomasz Kociumaka

Real-time jet tagging is critical for identifying short-lived particle decays in the high-throughput detectors of the Large Hadron Collider, where real-time trigger systems responsible for deciding which collision events to store impose…

High Energy Physics - Experiment · Physics 2026-05-22 Aaron Wang , Zihan Zhao , Alan Xia , Chang Sun , Abhijith Gandrakota , Jennifer Ngadiuba , Richard Cavanaugh , Javier Duarte

We show how to represent sets in a linear space data structure such that expressions involving unions and intersections of sets can be computed in a worst-case efficient way. This problem has applications in e.g. information retrieval and…

Data Structures and Algorithms · Computer Science 2007-08-27 Philip Bille , Anna Pagh , Rasmus Pagh

Bit vectors are fundamental building blocks of many succinct data structures. They can be used to represent graphs, are an important part of many text indices in the form of the wavelet tree, and can be used to encode ordered sequences of…

Data Structures and Algorithms · Computer Science 2022-11-08 Florian Kurpicz

Most existing ultra-high resolution (UHR) segmentation methods always struggle in the dilemma of balancing memory cost and local characterization accuracy, which are both taken into account in our proposed Guided Patch-Grouping Wavelet…

Computer Vision and Pattern Recognition · Computer Science 2023-07-07 Deyi Ji , Feng Zhao , Hongtao Lu

Many hashing algorithms including minwise hashing (MinHash), one permutation hashing (OPH), and consistent weighted sampling (CWS) generate integers of $B$ bits. With $k$ hashes for each data vector, the storage would be $B\times k$ bits;…

Machine Learning · Computer Science 2023-06-29 Ping Li , Weijie Zhao

The attention mechanism is a core primitive in modern large language models (LLMs) and AI more broadly. Since attention by itself is permutation-invariant, position encoding is essential for modeling structured domains such as language.…

Computation and Language · Computer Science 2026-02-05 Songlin Yang , Yikang Shen , Kaiyue Wen , Shawn Tan , Mayank Mishra , Liliang Ren , Rameswar Panda , Yoon Kim

We propose an external memory algorithm for the computation of the BWT and LCP array for a collection of sequences. Our algorithm takes the amount of available memory as an input parameter, and tries to make the best use of it by splitting…

Data Structures and Algorithms · Computer Science 2020-09-10 Lavinia Egidi , Felipe A. Louza , Giovanni Manzini , Guilherme P. Telles

The Batch Markov Modulated Poisson Process (BMMPP) is a subclass of the versatile Batch Markovian Arrival process (BMAP) which has been proposed for the modeling of dependent events occurring in batches (as group arrivals, failures or risk…

Computation · Statistics 2024-01-29 Yoel G. Yera , Rosa E. Lillo , Pepa Ramírez-Cobo

Path planning in robotics often requires finding high-quality solutions to continuously valued and/or high-dimensional problems. These problems are challenging and most planning algorithms instead solve simplified approximations. Popular…

Robotics · Computer Science 2020-04-20 Jonathan D. Gammell , Timothy D. Barfoot , Siddhartha S. Srinivasa

Selecting the optimal radio access technology (RAT) during vertical handovers (VHO) in heterogeneous wireless networks (HWNs) is critical. Multi-attribute decision-making (MADM) is the most common approach used for network selection (NS) in…

Networking and Internet Architecture · Computer Science 2025-04-03 Brahim Mefgouda , Hanen Idoudi , Mohammad Al-Quraan , Ismail Lotfi , Omar Alhussein , Lina Mohjazi , Sami Muhaidat

The smooth heap is a recently introduced self-adjusting heap [Kozma, Saranurak, 2018] similar to the pairing heap [Fredman, Sedgewick, Sleator, Tarjan, 1986]. The smooth heap was obtained as a heap-counterpart of Greedy BST, a binary search…

Data Structures and Algorithms · Computer Science 2021-07-13 Maria Hartmann , László Kozma , Corwin Sinnamon , Robert E. Tarjan

Shortest path (SP) computation is the building block for many location-based services, and achieving high throughput SP query processing with real-time response is crucial for those services. However, existing solutions can hardly handle…

Databases · Computer Science 2025-02-18 Xinjie Zhou , Mengxuan Zhang , Lei Li , Xiaofang Zhou

Hyperplane hashing aims at rapidly searching nearest points to a hyperplane, and has shown practical impact in scaling up active learning with SVMs. Unfortunately, the existing randomized methods need long hash codes to achieve reasonable…

Machine Learning · Computer Science 2012-06-22 Wei Liu , Jun Wang , Yadong Mu , Sanjiv Kumar , Shih-Fu Chang

Optimizing a connection through a quantum repeater network requires careful attention to the photon propagation direction of the individual links, the arrangement of those links into a path, the error management mechanism chosen, and the…

Quantum Physics · Physics 2017-01-18 Rodney Van Meter , Takahiko Satoh , Shota Nagayama , Takaaki Matsuo , Shigeya Suzuki

A deterministic BSP algorithm for constructing the suffix array of a given string is presented, based on a technique which we call accelerated sampling. It runs in optimal O(n/p) local computation and communication, and requires a near…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-26 Matthew Felice Pace , Alexander Tiskin