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In the kernel density estimation (KDE) problem, we are given a set $X$ of data points in $\mathbb{R}^d$, a kernel function $k: \mathbb{R}^d \times \mathbb{R}^d \rightarrow \mathbb{R}$, and a query point $\mathbf{q} \in \mathbb{R}^d$, and…

Data Structures and Algorithms · Computer Science 2025-07-03 Steinar Laenen , Peter Macgregor , He Sun

Modern large-scale finite-sum optimization relies on two key aspects: distribution and stochastic updates. For smooth and strongly convex problems, existing decentralized algorithms are slower than modern accelerated variance-reduced…

Optimization and Control · Mathematics 2019-06-13 Hadrien Hendrikx , Francis Bach , Laurent Massoulie

We propose the Multi-Head Density Adaptive Attention Mechanism (DAAM), a novel probabilistic attention framework that can be used for Parameter-Efficient Fine-tuning (PEFT), and the Density Adaptive Transformer (DAT), designed to enhance…

Machine Learning · Computer Science 2024-10-01 Georgios Ioannides , Aman Chadha , Aaron Elkins

We focus on the problem of identifying samples in a set that do not conform to structured patterns represented by low-dimensional manifolds. An effective way to solve this problem is to embed data in a high dimensional space, called…

Machine Learning · Computer Science 2025-05-19 Filippo Leveni , Luca Magri , Cesare Alippi , Giacomo Boracchi

With the rapid growth of multimodal media data on the Web in recent years, hash learning methods as a way to achieve efficient and flexible cross-modal retrieval of massive multimedia data have received a lot of attention from the current…

Information Retrieval · Computer Science 2022-07-27 Yitian Long

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…

Data Structures and Algorithms · Computer Science 2024-05-31 Fenghao Dong , Yang He , Yutong Liang , Zirui Liu , Yuhan Wu , Peiqing Chen , Tong Yang

To overcome the barrier of storage and computation, the hashing technique has been widely used for nearest neighbor search in multimedia retrieval applications recently. Particularly, cross-modal retrieval that searches across different…

Information Retrieval · Computer Science 2019-05-16 Sarawut Markchit , Chih-Yi Chiu

The prefix sum operation is a useful primitive with a broad range of applications. For database systems, it is a building block of many important operators including join, sort and filter queries. In this paper, we study different methods…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-25 Wangda Zhang , Yanbin Wang , Kenneth A. Ross

Distributed data mining is an emerging research topic to effectively and efficiently address hard data mining tasks using big data, which are partitioned and computed on different worker nodes, instead of one centralized server.…

Machine Learning · Computer Science 2022-10-17 Wenhan Xian , Feihu Huang , Heng Huang

Hashing has been widely used for efficient similarity search based on its query and storage efficiency. To obtain better precision, most studies focus on designing different objective functions with different constraints or penalty terms…

Data Structures and Algorithms · Computer Science 2018-10-02 Xingbo Liu , Xiushan Nie , Yilong Yin

Adaptive optimization algorithms, particularly Adam and its variant AdamW, are fundamental components of modern deep learning. However, their training dynamics lack comprehensive theoretical understanding, with limited insight into why…

Machine Learning · Computer Science 2024-12-23 Rhys Gould , Hidenori Tanaka

Due to the high storage and search efficiency, hashing has become prevalent for large-scale similarity search. Particularly, deep hashing methods have greatly improved the search performance under supervised scenarios. In contrast,…

Computer Vision and Pattern Recognition · Computer Science 2019-05-10 Erkun Yang , Tongliang Liu , Cheng Deng , Wei Liu , Dacheng Tao

Efficient hyperparameter or architecture search methods have shown remarkable results, but each of them is only applicable to searching for either hyperparameters (HPs) or architectures. In this work, we propose a unified pipeline, AutoHAS,…

Computer Vision and Pattern Recognition · Computer Science 2021-04-08 Xuanyi Dong , Mingxing Tan , Adams Wei Yu , Daiyi Peng , Bogdan Gabrys , Quoc V. Le

Inspired by applications in sports where the skill of players or teams competing against each other varies over time, we propose a probabilistic model of pairwise-comparison outcomes that can capture a wide range of time dynamics. We…

Machine Learning · Statistics 2019-05-20 Lucas Maystre , Victor Kristof , Matthias Grossglauser

Given a set of points $P\subset \mathbb{R}^{d}$ and a kernel $k$, the Kernel Density Estimate at a point $x\in\mathbb{R}^{d}$ is defined as $\mathrm{KDE}_{P}(x)=\frac{1}{|P|}\sum_{y\in P} k(x,y)$. We study the problem of designing a data…

Data Structures and Algorithms · Computer Science 2018-09-03 Moses Charikar , Paris Siminelakis

Adaptive data analysis (ADA) involves a dynamic interaction between an analyst and a dataset owner, where the analyst submits queries sequentially, adapting them based on previous answers. This process can become adversarial, as the analyst…

Human-Computer Interaction · Computer Science 2025-01-22 Amir Hossein Hadavi , Mohammad M. Mojahedian , Mohammad Reza Aref

Adaptive moment estimation (Adam), as a Stochastic Gradient Descent (SGD) variant, has gained widespread popularity in federated learning (FL) due to its fast convergence. However, federated Adam (FedAdam) algorithms suffer from a threefold…

Machine Learning · Computer Science 2025-09-22 Xiumei Deng , Jun Li , Kang Wei , Long Shi , Zehui Xiong , Ming Ding , Wen Chen , Shi Jin , H. Vincent Poor

Metrics for set similarity are a core aspect of several data mining tasks. To remove duplicate results in a Web search, for example, a common approach looks at the Jaccard index between all pairs of pages. In social network analysis, a…

Social and Information Networks · Computer Science 2023-05-30 Igor Nunes , Mike Heddes , Pere Vergés , Danny Abraham , Alexander Veidenbaum , Alexandru Nicolau , Tony Givargis

DBSCAN has been widely used in density-based clustering algorithms. However, with the increasing demand for Multi-density clustering, previous traditional DSBCAN can not have good clustering results on Multi-density datasets. In order to…

Databases · Computer Science 2023-10-10 Ziqing Wang , Zhirong Ye , Yuyang Du , Yi Mao , Yanying Liu , Ziling Wu , Jun Wang

This paper considers enumerating answers to similarity-join queries under dynamic updates: Given two sets of $n$ points $A,B$ in $\mathbb{R}^d$, a metric $\phi(\cdot)$, and a distance threshold $r > 0$, report all pairs of points $(a, b)…

Data Structures and Algorithms · Computer Science 2021-05-06 Pankaj K. Agarwal , Xiao Hu , Stavros Sintos , Jun Yang