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The method of random projections has become very popular for large-scale applications in statistical learning, information retrieval, bio-informatics and other applications. Using a well-designed coding scheme for the projected data, which…

Machine Learning · Computer Science 2013-08-12 Ping Li , Michael Mitzenmacher , Anshumali Shrivastava

The method of random projections has become a standard tool for machine learning, data mining, and search with massive data at Web scale. The effective use of random projections requires efficient coding schemes for quantizing (real-valued)…

Machine Learning · Statistics 2016-02-23 Ping Li , Michael Mitzenmacher , Anshumali Shrivastava

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…

Computer Vision and Pattern Recognition · Computer Science 2011-10-27 Hervé Jégou , Teddy Furon , Jean-Jacques Fuchs

We study the problem of approximate near neighbor (ANN) search and show the following results: - An improved framework for solving the ANN problem using locality-sensitive hashing, reducing the number of evaluations of locality-sensitive…

Data Structures and Algorithms · Computer Science 2019-06-25 Tobias Christiani

Explicitly or implicitly, most of dimensionality reduction methods need to determine which samples are neighbors and the similarity between the neighbors in the original highdimensional space. The projection matrix is then learned on the…

Computer Vision and Pattern Recognition · Computer Science 2017-09-12 Yanwei Pang , Bo Zhou , Feiping Nie

Variational quantum algorithms rely on the optimization of parameterized quantum circuits in noisy settings. The commonly used back-propagation procedure in classical machine learning is not directly applicable in this setting due to the…

Quantum Physics · Physics 2024-08-27 Zhiyan Ding , Taehee Ko , Jiahao Yao , Lin Lin , Xiantao Li

The method of random projection (RP) is the standard technique in machine learning and many other areas, for dimensionality reduction, approximate near neighbor search, compressed sensing, etc. Basically, RP provides a simple and effective…

Machine Learning · Statistics 2021-02-26 Xiaoyun Li , Ping Li

We discuss methodological issues related to the evaluation of unsupervised binary code construction methods for nearest neighbor search. These issues have been widely ignored in literature. These coding methods attempt to preserve either…

Computer Vision and Pattern Recognition · Computer Science 2014-09-30 Mohammad Rastegari , Shobeir Fakhraei , Jonghyun Choi , David Jacobs , Larry S. Davis

Most natural language processing tasks can be formulated as the approximated nearest neighbor search problem, such as word analogy, document similarity, machine translation. Take the question-answering task as an example, given a question…

Artificial Intelligence · Computer Science 2017-08-28 Jing Wang

The approximate nearest neighbor (ANN) search problem is fundamental to efficiently serving many real-world machine learning applications. A number of techniques have been developed for ANN search that are efficient, accurate, and scalable.…

Machine Learning · Computer Science 2023-02-23 Philip Sun , Ruiqi Guo , Sanjiv Kumar

Nearest neighbor search is a problem of finding the data points from the database such that the distances from them to the query point are the smallest. Learning to hash is one of the major solutions to this problem and has been widely…

Computer Vision and Pattern Recognition · Computer Science 2017-04-25 Jingdong Wang , Ting Zhang , Jingkuan Song , Nicu Sebe , Heng Tao Shen

Random projection is a common technique for designing algorithms in a variety of areas, including information retrieval, compressive sensing and measuring of outlyingness. In this work, the original random projection outlyingness measure is…

Signal Processing · Electrical Eng. & Systems 2021-08-02 Martin Bauw , Santiago Velasco-Forero , Jesus Angulo , Claude Adnet , Olivier Airiau

Efficient index structures for fast approximate nearest neighbor queries are required in many applications such as recommendation systems. In high-dimensional spaces, many conventional methods suffer from excessive usage of memory and slow…

Similarity search retrieves the nearest neighbors of a query vector from a dataset of high-dimensional vectors. As the size of the dataset grows, the cost of performing the distance computations needed to implement a query can become…

Machine Learning · Computer Science 2019-12-20 Soroosh Khoram , Stephen J Wright , Jing Li

The projected subgradient method for constrained minimization repeatedly interlaces subgradient steps for the objective function with projections onto the feasible region, which is the intersection of closed and convex constraints sets, to…

Optimization and Control · Mathematics 2013-08-21 Yair Censor , Ran Davidi , Gabor T. Herman , Reinhard W. Schulte , Luba Tetruashvili

Random projections offer an appealing and flexible approach to a wide range of large-scale statistical problems. They are particularly useful in high-dimensional settings, where we have many covariates recorded for each observation. In…

Methodology · Statistics 2019-11-26 Timothy I. Cannings

Local search is a fundamental method in operations research and combinatorial optimisation. It has been widely applied to a variety of challenging problems, including multi-objective optimisation where multiple, often conflicting,…

Neural and Evolutionary Computing · Computer Science 2026-01-13 Zimin Liang , Miqing Li

Cross-modal similarity search is a problem about designing a search system supporting querying across content modalities, e.g., using an image to search for texts or using a text to search for images. This paper presents a compact coding…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 Ting Zhang , Jingdong Wang

This paper studies the compact coding approach to approximate nearest neighbor search. We introduce a composite quantization framework. It uses the composition of several ($M$) elements, each of which is selected from a different…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Jingdong Wang , Ting Zhang

We explore the use of GPU for accelerating large scale nearest neighbor search and we propose a fast vector-quantization-based exhaustive nearest neighbor search algorithm that can achieve high accuracy without any indexing construction…

Computer Vision and Pattern Recognition · Computer Science 2020-08-06 Xiaozheng Jian , Jianqiu Lu , Zexi Yuan , Ao Li
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