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We present a matrix factorization algorithm that scales to input matrices that are large in both dimensions (i.e., that contains morethan 1TB of data). The algorithm streams the matrix columns while subsampling them, resulting in low…

Optimization and Control · Mathematics 2016-12-04 Arthur Mensch , Julien Mairal , Gaël Varoquaux , Bertrand Thirion

The success of deep learning in supervised fine-grained recognition for domain-specific tasks relies heavily on expert annotations. The Open-Set for fine-grained Self-Supervised Learning (SSL) problem aims to enhance performance on…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Prajwal Singh , Gautam Vashishtha , Indra Deep Mastan , Shanmuganathan Raman

We propose a computationally efficient algorithm that achieves anytime regret of order $\mathcal{O}(\sqrt{t})$, with explicit dependence on the system dimensions and on the solution of the Discrete Algebraic Riccati Equation (DARE). Our…

Machine Learning · Statistics 2026-01-06 Jafar Abbaszadeh Chekan , Cedric Langbort

QuickXsort is a highly efficient in-place sequential sorting scheme that mixes Hoare's Quicksort algorithm with X, where X can be chosen from a wider range of other known sorting algorithms, like Heapsort, Insertionsort and Mergesort. Its…

Data Structures and Algorithms · Computer Science 2018-11-06 Stefan Edelkamp , Armin Weiß , Sebastian Wild

We propose new sequential sorting operations by adapting techniques and methods used for designing parallel sorting algorithms. Although the norm is to parallelize a sequential algorithm to improve performance, we adapt a contrarian…

Data Structures and Algorithms · Computer Science 2016-09-01 Alexandros V Gerbessiotis

Floating-point computations are quickly finding their way in the design of safety- and mission-critical systems, despite the fact that designing floating-point algorithms is significantly more difficult than designing integer algorithms.…

Artificial Intelligence · Computer Science 2015-08-03 Roberto Bagnara , Matthieu Carlier , Roberta Gori , Arnaud Gotlieb

The common fixed points problem requires finding a point in the intersection of fixed points sets of a finite collection of operators. Quickly solving problems of this sort is of great practical importance for engineering and scientific…

Optimization and Control · Mathematics 2019-01-24 Howard Heaton , Yair Censor

We study sorting in the evolving data model, introduced by [AKMU11], where the true total order changes while the sorting algorithm is processing the input. More precisely, each comparison operation of the algorithm is followed by a…

Data Structures and Algorithms · Computer Science 2024-09-24 George Giakkoupis , Marcos Kiwi , Dimitrios Los

Today, almost all computer systems use IEEE-754 floating point to represent real numbers. Recently, posit was proposed as an alternative to IEEE-754 floating point as it has better accuracy and a larger dynamic range. The configurable…

Hardware Architecture · Computer Science 2021-04-13 Varun Gohil , Sumit Walia , Joycee Mekie , Manu Awasthi

We introduce the first iterative algorithm for constructing a $\varepsilon$-coreset that guarantees deterministic $\ell_p$ subspace embedding for any $p \in [1,\infty)$ and any $\varepsilon > 0$. For a given full rank matrix $\mathbf{X} \in…

Data Structures and Algorithms · Computer Science 2026-05-18 Rachit Chhaya , Anirban Dasgupta , Dan Feldman , Supratim Shit

Quantum state tomography (QST) is a crucial tool for characterizing quantum states. However, QST becomes impractical for reconstructing multi-qubit density matrices since data sets and computational costs grow exponentially with qubit…

Quantum Physics · Physics 2026-04-02 Aniket Patel , Akshay Gaikwad , Tangyou Huang , Anton Frisk Kockum , Tahereh Abad

Many algorithms feature an iterative loop that converges to the result of interest. The numerical operations in such algorithms are generally implemented using finite-precision arithmetic, either fixed- or floating-point, most of which…

Hardware Architecture · Computer Science 2019-10-02 He Li , James J. Davis , John Wickerson , George A. Constantinides

Spectral analysis plays an important role in detection of damage in structures and deep learning. The choice of a floating-point format plays a crucial role in determining the accuracy and performance of spectral analysis. The IEEE Std…

Hardware Architecture · Computer Science 2024-06-11 Sameer Deshmukh , Daniel Khankin , William Killian , John Gustafson , Elad Raz

Sorting has been a profound area for the algorithmic researchers and many resources are invested to suggest more works for sorting algorithms. For this purpose, many existing sorting algorithms were observed in terms of the efficiency of…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-25 Zaid Abdi Alkareem Alyasseri , Kadhim Al-Attar , Mazin Nasser

We focus on sorting, which is the building block of many machine learning algorithms, and propose a novel distributed sorting algorithm, named Coded TeraSort, which substantially improves the execution time of the TeraSort benchmark in…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-17 Songze Li , Sucha Supittayapornpong , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

Almost all existing deep learning approaches for semantic segmentation tackle this task as a pixel-wise classification problem. Yet humans understand a scene not in terms of pixels, but by decomposing it into perceptual groups and…

Computer Vision and Pattern Recognition · Computer Science 2019-10-31 Jyh-Jing Hwang , Stella X. Yu , Jianbo Shi , Maxwell D. Collins , Tien-Ju Yang , Xiao Zhang , Liang-Chieh Chen

Bitmap indexes must be compressed to reduce input/output costs and minimize CPU usage. To accelerate logical operations (AND, OR, XOR) over bitmaps, we use techniques based on run-length encoding (RLE), such as Word-Aligned Hybrid (WAH)…

Databases · Computer Science 2016-08-02 Daniel Lemire , Owen Kaser , Kamel Aouiche

Suffix Array (SA) is a cardinal data structure in many pattern matching applications, including data compression, plagiarism detection and sequence alignment. However, as the volumes of data increase abruptly, the construction of SA is not…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-16 Hsiang-Huang Wu , Chien-Min Wang , Hsuan-Chi Kuo , Wei-Chun Chung , Jan-Ming Ho

Over the last few years, machine learning unlocked previously infeasible features for compression, such as providing guarantees for users' privacy or tailoring compression to specific data statistics (e.g., satellite images or audio…

Information Theory · Computer Science 2026-03-25 Gergely Flamich

We introduce a novel deterministic quantum search algorithm that provides a practical alternative to conventional probabilistic search approaches. Our scheme eliminates the inherent uncertainty of quantum search without relying on arbitrary…

Quantum Physics · Physics 2025-07-22 John Burke , Ciaran McGoldrick