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We address the problem of converting large-scale high-dimensional image data into binary codes so that approximate nearest-neighbor search over them can be efficiently performed. Different from most of the existing unsupervised approaches…

Computer Vision and Pattern Recognition · Computer Science 2015-12-02 Tsung-Yu Lin , Tsung-Wei Ke , Tyng-Luh Liu

Representing images by compact hash codes is an attractive approach for large-scale content-based image retrieval. In most state-of-the-art hashing-based image retrieval systems, for each image, local descriptors are first aggregated as a…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Thanh-Toan Do , Khoa Le , Tuan Hoang , Huu Le , Tam V. Nguyen , Ngai-Man Cheung

Training deep neural networks is a challenging non-convex optimization problem. Recent work has proven that the strong duality holds (which means zero duality gap) for regularized finite-width two-layer ReLU networks and consequently…

Machine Learning · Computer Science 2023-03-08 Yifei Wang , Tolga Ergen , Mert Pilanci

Image hash codes are produced by binarizing the embeddings of convolutional neural networks (CNN) trained for either classification or retrieval. While proxy embeddings achieve good performance on both tasks, they are non-trivial to…

Computer Vision and Pattern Recognition · Computer Science 2020-07-29 Pedro Morgado , Yunsheng Li , Jose Costa Pereira , Mohammad Saberian , Nuno Vasconcelos

Indicator functions of taking values of zero or one are essential to numerous applications in machine learning and statistics. The corresponding primal optimization model has been researched in several recent works. However, its dual…

Optimization and Control · Mathematics 2025-06-11 Penghe Zhang , Naihua Xiu , Houduo Qi

Deploying mathematical optimization in autonomous production systems requires precise contracts for objects returned by an optimization solver. Unfortunately, conventions on dual solution and infeasibility certificates (rays) vary widely…

Optimization and Control · Mathematics 2026-02-05 Juan Pablo Vielma , Ross Anderson , Joey Huchette

Hashing methods have been widely investigated for fast approximate nearest neighbor searching in large data sets. Most existing methods use binary vectors in lower dimensional spaces to represent data points that are usually real vectors of…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Dayong Tian , Dacheng Tao

Fine-grained hashing has become a powerful solution for rapid and efficient image retrieval, particularly in scenarios requiring high discrimination between visually similar categories. To enable each hash bit to correspond to specific…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Peng Wang , Yong Li , Lin Zhao , Xiu-Shen Wei

Primal-dual algorithm (PDA) is a classic and popular scheme for convex-concave saddle point problems. It is universally acknowledged that the proximal terms in the subproblems about the primal and dual variables are crucial to the…

Optimization and Control · Mathematics 2025-04-24 Shuning Liu , Zexian Liu

This paper presents a simple yet effective supervised deep hash approach that constructs binary hash codes from labeled data for large-scale image search. We assume that the semantic labels are governed by several latent attributes with…

Computer Vision and Pattern Recognition · Computer Science 2017-02-15 Huei-Fang Yang , Kevin Lin , Chu-Song Chen

Image hashing is one of the fundamental problems that demand both efficient and effective solutions for various practical scenarios. Adversarial autoencoders are shown to be able to implicitly learn a robust, locality-preserving hash…

Information Retrieval · Computer Science 2020-05-27 Khoa D. Doan , Saurav Manchanda , Sarkhan Badirli , Chandan K. Reddy

Many approaches to semantic image hashing have been formulated as supervised learning problems that utilize images and label information to learn the binary hash codes. However, large-scale labeled image data is expensive to obtain, thus…

Computer Vision and Pattern Recognition · Computer Science 2019-01-29 Vijetha Gattupalli , Yaoxin Zhuo , Baoxin Li

Deep unsupervised hashing has been appreciated in the regime of image retrieval. However, most prior arts failed to detect the semantic components and their relationships behind the images, which makes them lack discriminative power. To…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Qinghong Lin , Xiaojun Chen , Qin Zhang , Shaotian Cai , Wenzhe Zhao , Hongfa Wang

A hypergraph ${\cal F}$ is a set family defined on vertex set $V$. The dual of ${\cal F}$ is the set of minimal subsets $H$ of $V$ such that $F\cap H \ne \emptyset$ for any $F\in {\cal F}$. The computation of the dual is equivalent to many…

Data Structures and Algorithms · Computer Science 2011-02-23 Keisuke Murakami , Takeaki Uno

Deep hashing has been widely adopted for large-scale image retrieval, with numerous strategies proposed to optimize hash function learning. Pairwise-based methods are effective in learning hash functions that preserve local similarity…

Computer Vision and Pattern Recognition · Computer Science 2025-10-10 Xiaoxu Ma , Runhao Li , Zhenyu Weng

Locality-sensitive hashing (LSH) is an effective randomized technique widely used in many machine learning tasks. The cost of hashing is proportional to data dimensions, and thus often the performance bottleneck when dimensionality is high…

Machine Learning · Computer Science 2023-09-28 Zongyuan Tan , Hongya Wang , Bo Xu , Minjie Luo , Ming Du

Best subset selection is considered the `gold standard' for many sparse learning problems. A variety of optimization techniques have been proposed to attack this non-smooth non-convex problem. In this paper, we investigate the dual forms of…

Machine Learning · Computer Science 2024-12-31 Shaogang Ren , Xiaoning Qian

In large scale systems, approximate nearest neighbour search is a crucial algorithm to enable efficient data retrievals. Recently, deep learning-based hashing algorithms have been proposed as a promising paradigm to enable data dependent…

Machine Learning · Computer Science 2019-02-12 Jo Schlemper , Jose Caballero , Andy Aitken , Joost van Amersfoort

Learning to hash has been widely applied to approximate nearest neighbor search for large-scale multimedia retrieval, due to its computation efficiency and retrieval quality. Deep learning to hash, which improves retrieval quality by…

Machine Learning · Computer Science 2017-08-01 Zhangjie Cao , Mingsheng Long , Jianmin Wang , Philip S. Yu

The primal-dual hybrid gradient method (PDHG) is useful for optimization problems that commonly appear in image reconstruction. A downside of PDHG is that there are typically three user-set parameters and performance of the algorithm is…

Optimization and Control · Mathematics 2025-03-25 Alex McManus , Stephen Becker , Nicholas Dwork