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We present the first provable Least-Squares Value Iteration (LSVI) algorithms that have runtime complexity sublinear in the number of actions. We formulate the value function estimation procedure in value iteration as an approximate maximum…

Data Structures and Algorithms · Computer Science 2021-06-09 Anshumali Shrivastava , Zhao Song , Zhaozhuo Xu

Locality-sensitive hashing (LSH), introduced by Indyk and Motwani in STOC '98, has been an extremely influential framework for nearest neighbor search in high-dimensional data sets. While theoretical work has focused on the approximate…

Data Structures and Algorithms · Computer Science 2018-12-07 Tobias Christiani , Rasmus Pagh , Mikkel Thorup

There is a rich literature on clustering functional data with applications to time-series modeling, trajectory data, and even spatio-temporal applications. However, existing methods routinely perform global clustering that enforces…

Methodology · Statistics 2024-12-16 Tsung-Hung Yao , Suprateek Kundu

We present a method for detecting objects in images using a single deep neural network. Our approach, named SSD, discretizes the output space of bounding boxes into a set of default boxes over different aspect ratios and scales per feature…

Computer Vision and Pattern Recognition · Computer Science 2016-12-30 Wei Liu , Dragomir Anguelov , Dumitru Erhan , Christian Szegedy , Scott Reed , Cheng-Yang Fu , Alexander C. Berg

The development of compact and energy-efficient wearable sensors has led to an increase in the availability of biosignals. To analyze these continuously recorded, and often multidimensional, time series at scale, being able to conduct…

Machine Learning · Computer Science 2022-08-02 Knut J. Strømmen , Jim Tørresen , Ulysse Côté-Allard

To better understand the dynamics of human settlements, thorough knowledge of the uncertainty in geospatial built-up surface datasets is critical. While frameworks for localized accuracy assessments of categorical gridded data have been…

Physics and Society · Physics 2022-06-23 Johannes H. Uhl , Stefan Leyk

Weighted minwise hashing is a standard dimensionality reduction technique with applications to similarity search and large-scale kernel machines. We introduce a simple algorithm that takes a weighted set $x \in \mathbb{R}_{\geq 0}^{d}$ and…

Data Structures and Algorithms · Computer Science 2020-05-26 Tobias Christiani

We define a hierarchical clustering method: $\alpha$-unchaining single linkage or $SL(\alpha)$. The input of this algorithm is a finite metric space and a certain parameter $\alpha$. This method is sensitive to the density of the…

Machine Learning · Computer Science 2014-02-07 Álvaro Martínez-Pérez

Similarity search methods are widely used as kernels in various machine learning applications. Nearest neighbor search (NNS) algorithms are often used to retrieve similar entries, given a query. While there exist efficient techniques for…

Databases · Computer Science 2010-06-18 Rajendra Shinde , Ashish Goel , Pankaj Gupta , Debojyoti Dutta

Log-linear models are arguably the most successful class of graphical models for large-scale applications because of their simplicity and tractability. Learning and inference with these models require calculating the partition function,…

Machine Learning · Statistics 2017-03-16 Ryan Spring , Anshumali Shrivastava

Best subset selection (BSS) is widely known as the holy grail for high-dimensional variable selection. Nevertheless, the notorious NP-hardness of BSS substantially restricts its practical application and also discourages its theoretical…

Methodology · Statistics 2021-08-27 Yongyi Guo , Ziwei Zhu , Jianqing Fan

Ranking-based loss functions, such as Average Precision Loss and Rank&Sort Loss, outperform widely used score-based losses in object detection. These loss functions better align with the evaluation criteria, have fewer hyperparameters, and…

Computer Vision and Pattern Recognition · Computer Science 2024-07-22 Feyza Yavuz , Baris Can Cam , Adnan Harun Dogan , Kemal Oksuz , Emre Akbas , Sinan Kalkan

One way to find closest pairs in large datasets is to use hash functions. In recent years locality-sensitive hash functions for various metrics have been given: projecting an n-cube onto k bits is simple hash function that performs well. In…

Information Theory · Computer Science 2009-10-15 Daniel M. Gordon , Victor Miller , Peter Ostapenko

Large Neighborhood Search (LNS) is a popular heuristic algorithm for solving combinatorial optimization problems (COP). It starts with an initial solution to the problem and iteratively improves it by searching a large neighborhood around…

Artificial Intelligence · Computer Science 2023-06-02 Taoan Huang , Aaron Ferber , Yuandong Tian , Bistra Dilkina , Benoit Steiner

In this work, we study the task of scheduling jobs on a single machine with sequence dependent family setup times under the goal of minimizing the makespan, that is, the completion time of the last job in the schedule. This notoriously…

Data Structures and Algorithms · Computer Science 2025-03-25 Kaja Balzereit , Niels Grüttemeier , Nils Morawietz , Dennis Reinhardt , Stefan Windmann , Petra Wolf

The existing work on densification of one permutation hashing reduces the query processing cost of the $(K,L)$-parameterized Locality Sensitive Hashing (LSH) algorithm with minwise hashing, from $O(dKL)$ to merely $O(d + KL)$, where $d$ is…

Methodology · Statistics 2014-06-19 Anshumali Shrivastava , Ping Li

Linear attention is an efficient attention mechanism that has recently emerged as a promising alternative to conventional softmax attention. With its ability to process tokens in linear computational complexities, linear attention, in…

Computation and Language · Computer Science 2024-01-17 Zhen Qin , Weigao Sun , Dong Li , Xuyang Shen , Weixuan Sun , Yiran Zhong

Recently, hashing methods have been widely used in large-scale image retrieval. However, most existing hashing methods did not consider the hierarchical relation of labels, which means that they ignored the rich information stored in the…

Computer Vision and Pattern Recognition · Computer Science 2017-09-13 Dan Wang , Heyan Huang , Chi Lu , Bo-Si Feng , Liqiang Nie , Guihua Wen , Xian-Ling Mao

The indexing algorithms for the high-dimensional nearest neighbor search (NNS) with the best worst-case guarantees are based on the randomized Locality Sensitive Hashing (LSH), and its derivatives. In practice, many heuristic approaches…

Data Structures and Algorithms · Computer Science 2022-07-08 Alexandr Andoni , Daniel Beaglehole

We design efficient distance approximation algorithms for several classes of structured high-dimensional distributions. Specifically, we show algorithms for the following problems: - Given sample access to two Bayesian networks $P_1$ and…

Data Structures and Algorithms · Computer Science 2020-02-17 Arnab Bhattacharyya , Sutanu Gayen , Kuldeep S. Meel , N. V. Vinodchandran
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