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The challenge of estimating similarity between sets has been a significant concern in data science, finding diverse applications across various domains. However, previous approaches, such as MinHash, have predominantly centered around…

数据结构与算法 · 计算机科学 2024-05-31 Fenghao Dong , Yang He , Yutong Liang , Zirui Liu , Yuhan Wu , Peiqing Chen , Tong Yang

Embedding tables are used by machine learning systems to work with categorical features. In modern Recommendation Systems, these tables can be very large, necessitating the development of new methods for fitting them in memory, even during…

机器学习 · 计算机科学 2023-10-24 Henry Ling-Hei Tsang , Thomas Dybdahl Ahle

The simple approach of retrieving a closest match of a query image from one in the gallery, compares an image pair using sum of absolute difference in pixel or feature space. The process is computationally expensive, ill-posed to…

计算机视觉与模式识别 · 计算机科学 2019-07-02 Saket Singh , Debdoot Sheet , Mithun Dasgupta

We present an algorithm for searching image collections using free-hand sketches that describe the appearance and relative positions of multiple objects. Sketch based image retrieval (SBIR) methods predominantly match queries containing a…

计算机视觉与模式识别 · 计算机科学 2021-06-16 Alexander Black , Tu Bui , Long Mai , Hailin Jin , John Collomosse

This paper proposes a binarization scheme for vectors of high dimension based on the recent concept of anti-sparse coding, and shows its excellent performance for approximate nearest neighbor search. Unlike other binarization schemes, this…

计算机视觉与模式识别 · 计算机科学 2011-10-27 Hervé Jégou , Teddy Furon , Jean-Jacques Fuchs

Sketching uses randomized Hash functions for dimensionality reduction and acceleration. The existing sketching methods, such as count sketch (CS), tensor sketch (TS), and higher-order count sketch (HCS), either suffer from low accuracy or…

机器学习 · 计算机科学 2021-06-25 Xingyu Cao , Jiani Liu

The Jaccard index is an important similarity measure for item sets and Boolean data. On large datasets, an exact similarity computation is often infeasible for all item pairs both due to time and space constraints, giving rise to faster…

数据结构与算法 · 计算机科学 2021-03-09 Marc Bury , Chris Schwiegelshohn , Mara Sorella

Modern approaches for fast retrieval of similar vectors on billion-scaled datasets rely on compressed-domain approaches such as binary sketches or product quantization. These methods minimize a certain loss, typically the mean squared error…

计算机视觉与模式识别 · 计算机科学 2022-02-23 Kenza Amara , Matthijs Douze , Alexandre Sablayrolles , Hervé Jégou

A sketch is a probabilistic data structure used to record frequencies of items in a multi-set. Sketches are widely used in various fields, especially those that involve processing and storing data streams. In streaming applications with…

数据结构与算法 · 计算机科学 2017-02-08 Tong Yang , Lingtong Liu , Yibo Yan , Muhammad Shahzad , Yulong Shen , Xiaoming Li , Bin Cui , Gaogang Xie

Similarity-preserving hashing is a core technique for fast similarity searches, and it randomly maps data points in a metric space to strings of discrete symbols (i.e., sketches) in the Hamming space. While traditional hashing techniques…

数据结构与算法 · 计算机科学 2020-09-25 Shunsuke Kanda , Yasuo Tabei

We revisit data selection in a modern context of finetuning from a fundamental perspective. Extending the classical wisdom of variance minimization in low dimensions to high-dimensional finetuning, our generalization analysis unveils the…

机器学习 · 计算机科学 2025-02-10 Yijun Dong , Hoang Phan , Xiang Pan , Qi Lei

In this paper we show that for the purposes of dimensionality reduction certain class of structured random matrices behave similarly to random Gaussian matrices. This class includes several matrices for which matrix-vector multiply can be…

信息论 · 计算机科学 2015-10-08 Samet Oymak , Benjamin Recht , Mahdi Soltanolkotabi

Motivated by the study of matrix elimination orderings in combinatorial scientific computing, we utilize graph sketching and local sampling to give a data structure that provides access to approximate fill degrees of a matrix undergoing…

数据结构与算法 · 计算机科学 2023-04-11 Matthew Fahrbach , Gary L. Miller , Richard Peng , Saurabh Sawlani , Junxing Wang , Shen Chen Xu

Random data sketching (or projection) is now a classical technique enabling, for instance, approximate numerical linear algebra and machine learning algorithms with reduced computational complexity and memory. In this context, the…

信号处理 · 电气工程与系统科学 2023-03-09 Rémi Delogne , Vincent Schellekens , Laurent Daudet , Laurent Jacques

A flexible conformal inference method is developed to construct confidence intervals for the frequencies of queried objects in very large data sets, based on a much smaller sketch of those data. The approach is data-adaptive and requires no…

统计方法学 · 统计学 2022-11-10 Matteo Sesia , Stefano Favaro

We present a simple and efficient method based on deep learning to automatically decompose sketched objects into semantically valid parts. We train a deep neural network to transfer existing segmentations and labelings from 3D models to…

图形学 · 计算机科学 2018-08-01 Lei Li , Hongbo Fu , Chiew-Lan Tai

Accounting for the uncertainty in the predictions of modern neural networks is a challenging and important task in many domains. Existing algorithms for uncertainty estimation require modifying the model architecture and training procedure…

机器学习 · 统计学 2022-05-09 Alexander Fishkov , Maxim Panov

Two important optimization problems in the analysis of geometric data sets are clustering and sketching. Here, clustering refers to the problem of partitioning some input metric measure space (mm-space) into k clusters, minimizing some…

计算几何 · 计算机科学 2018-10-19 Facundo Mémoli , Anastasios Sidiropoulos , Kritika Singhal

Bin packing problem examines the minimum number of identical bins needed to pack a set of items of various weights. This problem arises in various areas of the artificial intelligence demanding derivation of the exact solutions in the…

最优化与控制 · 数学 2019-09-04 Masoud Ataei , Shengyuan Chen

In all state-of-the-art sketching and coreset techniques for clustering, as well as in the best known fixed-parameter tractable approximation algorithms, randomness plays a key role. For the classic $k$-median and $k$-means problems, there…

数据结构与算法 · 计算机科学 2023-10-09 Vincent Cohen-Addad , David Saulpic , Chris Schwiegelshohn