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The 2-Wasserstein distance (or RMS distance) is a useful measure of similarity between probability distributions that has exciting applications in machine learning. For discrete distributions, the problem of computing this distance can be…

计算几何 · 计算机科学 2020-07-17 Nathaniel Lahn , Sharath Raghvendra

Many problems that can be solved in quadratic time have bit-parallel speed-ups with factor $w$, where $w$ is the computer word size. For example, edit distance of two strings of length $n$ can be solved in $O(n^2/w)$ time. In a reasonable…

量子物理 · 物理学 2023-02-07 Massimo Equi , Arianne Meijer-van de Griend , Veli Mäkinen

Erasure codes are increasingly being studied in the context of implementing atomic memory objects in large scale asynchronous distributed storage systems. When compared with the traditional replication based schemes, erasure codes have the…

分布式、并行与集群计算 · 计算机科学 2016-11-15 Kishori M. Konwar , N. Prakash , Erez Kantor , Nancy Lynch , Muriel Medard , Alexander A. Schwarzmann

Matrix scaling problems with sparse cost matrices arise frequently in various domains, such as optimal transport, image processing, and machine learning. The Sinkhorn-Knopp algorithm is a popular iterative method for solving these problems,…

最优化与控制 · 数学 2024-06-26 Jose Rafael Espinosa Mena

The maximum mean discrepancy (MMD) is a recently proposed test statistic for two-sample test. Its quadratic time complexity, however, greatly hampers its availability to large-scale applications. To accelerate the MMD calculation, in this…

人工智能 · 计算机科学 2015-06-19 Ji Zhao , Deyu Meng

Detecting changes is of fundamental importance when analyzing data streams and has many applications, e.g., in predictive maintenance, fraud detection, or medicine. A principled approach to detect changes is to compare the distributions of…

机器学习 · 计算机科学 2025-02-13 Florian Kalinke , Marco Heyden , Georg Gntuni , Edouard Fouché , Klemens Böhm

Word embedding is a Natural Language Processing (NLP) technique that automatically maps words from a vocabulary to vectors of real numbers in an embedding space. It has been widely used in recent years to boost the performance of a vari-ety…

计算与语言 · 计算机科学 2017-09-25 Arpita Roy , Youngja Park , SHimei Pan

This study adapts the highly-versatile siamese neural network model to the event data domain. We introduce a supervised training framework for optimizing Earth Mover's Distance (EMD) between spike trains with spiking neural networks (SNN).…

神经与进化计算 · 计算机科学 2022-05-30 Mateusz Pabian , Dominik Rzepka , Mirosław Pawlak

Large language models (LLMs) have demonstrated exceptional proficiency in understanding and generating human language, but efficient inference on resource-constrained embedded devices remains challenging due to large model sizes and…

硬件体系结构 · 计算机科学 2025-07-15 Weihong Xu , Haein Choi , Po-kai Hsu , Shimeng Yu , Tajana Rosing

In the context of object detection, sliding-window classifiers and single-shot Convolutional Neural Network (CNN) meta-architectures typically yield multiple overlapping candidate windows with similar high scores around the true location of…

计算机视觉与模式识别 · 计算机科学 2025-02-04 David Oro , Carles Fernández , Xavier Martorell , Javier Hernando

The persistence diagram, which describes the topological features of a dataset, is a key descriptor in Topological Data Analysis. The "Discrete Morse Sandwich" (DMS) method has been reported to be the most efficient algorithm for computing…

分布式、并行与集群计算 · 计算机科学 2025-10-27 Eve Le Guillou , Pierre Fortin , Julien Tierny

We study the complexity of approximating the multimarginal optimal transport (MOT) distance, a generalization of the classical optimal transport distance, considered here between $m$ discrete probability distributions supported each on $n$…

机器学习 · 统计学 2022-02-23 Tianyi Lin , Nhat Ho , Marco Cuturi , Michael I. Jordan

Compressive sensing (CS) has attracted significant attention in parameter estimation tasks, where parametric dictionaries (PDs) collect signal observations for a sampling of the parameter space and yield sparse representations for signals…

信息论 · 计算机科学 2017-07-07 Dian Mo , Marco F. Duarte

Since its introduction, Word2Vec and its variants are widely used to learn semantics-preserving representations of words or entities in an embedding space, which can be used to produce state-of-art results for various Natural Language…

计算与语言 · 计算机科学 2016-06-28 Jeroen B. P. Vuurens , Carsten Eickhoff , Arjen P. de Vries

Optimal Transport (OT) distances are now routinely used as loss functions in ML tasks. Yet, computing OT distances between arbitrary (i.e. not necessarily discrete) probability distributions remains an open problem. This paper introduces a…

最优化与控制 · 数学 2020-07-03 Arthur Mensch , Gabriel Peyré

We present WOMBAT, a Python tool which supports NLP practitioners in accessing word embeddings from code. WOMBAT addresses common research problems, including unified access, scaling, and robust and reproducible preprocessing. Code that…

计算与语言 · 计算机科学 2018-07-03 Mark-Christoph Müller , Michael Strube

Word Sense Disambiguation (WSD) remains a key challenge in Natural Language Processing (NLP), especially when dealing with rare or domain-specific senses that are often misinterpreted. While modern high-parameter Large Language Models…

计算与语言 · 计算机科学 2026-03-06 Deshan Sumanathilaka , Nicholas Micallef , Julian Hough

Packing and shuffling tokens is a common practice in training auto-regressive language models (LMs) to prevent overfitting and improve efficiency. Typically documents are concatenated to chunks of maximum sequence length (MSL) and then…

计算与语言 · 计算机科学 2024-08-20 Yanbing Chen , Ruilin Wang , Zihao Yang , Lavender Yao Jiang , Eric Karl Oermann

Winograd's minimal filtering algorithm has been widely used in Convolutional Neural Networks (CNNs) to reduce the number of multiplications for faster processing. However, it is only effective on convolutions with kernel size as 3x3 and…

机器学习 · 计算机科学 2020-02-06 Di Huang , Xishan Zhang , Rui Zhang , Tian Zhi , Deyuan He , Jiaming Guo , Chang Liu , Qi Guo , Zidong Du , Shaoli Liu , Tianshi Chen , Yunji Chen

The computation of the distance of two time series is time-consuming for any elastic distance function that accounts for misalignments. Among those functions, DTW is the most prominent. However, a recent extensive evaluation has shown that…

数据结构与算法 · 计算机科学 2023-04-21 Jana Holznigenkemper , Christian Komusiewicz , Bernhard Seeger