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Any image recovery algorithm attempts to achieve the highest quality reconstruction in a timely manner. The former can be achieved in several ways, among which are by incorporating Bayesian priors that exploit natural image tendencies to…

Computer Vision and Pattern Recognition · Computer Science 2017-07-11 John McKay , Raghu G. Raj , Vishal Monga

Stochastic optimization algorithms are widely used for machine learning with large-scale data. However, their convergence often suffers from non-vanishing variance. Variance Reduction (VR) methods, such as SVRG and SARAH, address this issue…

Machine Learning · Computer Science 2026-01-12 Daniil Medyakov , Gleb Molodtsov , Savelii Chezhegov , Alexey Rebrikov , Aleksandr Beznosikov

We propose HAMSI (Hessian Approximated Multiple Subsets Iteration), which is a provably convergent, second order incremental algorithm for solving large-scale partially separable optimization problems. The algorithm is based on a local…

We consider several problems that involve lines in three dimensions, and present improved algorithms for solving them. The problems include (i) ray shooting amid triangles in $R^3$, (ii) reporting intersections between query lines…

Computational Geometry · Computer Science 2021-02-16 Esther Ezra , Micha Sharir

In this paper, we consider non-convex multi-block bilevel optimization (MBBO) problems, which involve $m\gg 1$ lower level problems and have important applications in machine learning. Designing a stochastic gradient and controlling its…

Optimization and Control · Mathematics 2023-06-05 Quanqi Hu , Zi-Hao Qiu , Zhishuai Guo , Lijun Zhang , Tianbao Yang

Modern machine learning algorithms crucially rely on several design decisions to achieve strong performance, making the problem of Hyperparameter Optimization (HPO) more important than ever. Here, we combine the advantages of the popular…

Machine Learning · Computer Science 2021-10-22 Noor Awad , Neeratyoy Mallik , Frank Hutter

We present RAYTHEIA, a high-performance reverse ray-tracing algorithm designed to efficiently solve three-dimensional direction-dependent equations in astronomical simulations. The algorithm uses a dual-grid framework in which the native…

Instrumentation and Methods for Astrophysics · Physics 2026-05-12 Zhengping Zhu , Thomas G. Bisbas , Xuefei Tang , Brandt A. L. Gaches , Tianwei Zhang , Huaxi Chen

Variational Bayes (VB) has become a widely-used tool for Bayesian inference in statistics and machine learning. Nonetheless, the development of the existing VB algorithms is so far generally restricted to the case where the variational…

Machine Learning · Computer Science 2021-08-04 Minh-Ngoc Tran , Dang H. Nguyen , Duy Nguyen

Hashing is an efficient method for nearest neighbor search in large-scale data space by embedding high-dimensional feature descriptors into a similarity preserving Hamming space with a low dimension. However, large-scale high-speed…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Chenggang Yan , Biao Gong , Yuxuan Wei , Yue Gao

An algorithm is proposed for the segmentation of image into multiple levels using mean and standard deviation in the wavelet domain. The procedure provides for variable size segmentation with bigger block size around the mean, and having…

Due to the very narrow beam used in millimeter wave communication (mmWave), beam alignment (BA) is a critical issue. In this work, we investigate the issue of mmWave BA and present a novel beam alignment scheme on the basis of a machine…

Signal Processing · Electrical Eng. & Systems 2022-07-29 Songjie Yang , Baojuan Liu , Zhiqin Hong , Zhongpei Zhang

Bayesian optimization (BO) is a popular approach to optimize expensive-to-evaluate black-box functions. A significant challenge in BO is to scale to high-dimensional parameter spaces while retaining sample efficiency. A solution considered…

Machine Learning · Statistics 2020-10-26 Benjamin Letham , Roberto Calandra , Akshara Rai , Eytan Bakshy

A novel prize-winner algorithm designed for a path following problem within the Unmanned Aerial Vehicle (UAV) field is presented in this paper. The proposed approach exploits the advantages offered by the pure pursuing algorithm to set up…

One of the challenges in optimization of high dimensional problems is finding appropriate solutions in a way that are as close as possible to the global optima. In this regard, one of the most common phenomena that occurs is the curse of…

Optimization and Control · Mathematics 2021-12-22 Somayeh Seifi Shalamzari , Mojtaba Banifakhr

Vertex hunting (VH) is the task of estimating a simplex from noisy data points and has many applications in areas such as network and text analysis. We introduce a new variant, semi-supervised vertex hunting (SSVH), in which partial…

Methodology · Statistics 2025-10-28 Yicong Jiang , Zheng Tracy Ke

Similarity-preserving hashing is a widely-used method for nearest neighbour search in large-scale image retrieval tasks. There has been considerable research on generating efficient image representation via the deep-network-based hashing…

Computer Vision and Pattern Recognition · Computer Science 2017-10-20 Hanjiang Lai , Yan Pan

Bayesian Optimization (BO) has shown significant success in tackling expensive low-dimensional black-box optimization problems. Many optimization problems of interest are high-dimensional, and scaling BO to such settings remains an…

Machine Learning · Statistics 2022-06-02 Eric Han , Ishank Arora , Jonathan Scarlett

Point cloud models are a common shape representation for several reasons. Three-dimensional scanning devices are widely used nowadays and points are an attractive primitive for rendering complex geometry. Nevertheless, there is not much…

Computer Vision and Pattern Recognition · Computer Science 2024-07-24 Mauro Figueiredo , João Pereira , João Oliveira , Bruno Araujo

In most practical applications of image retrieval, high-dimensional feature vectors are required, but current multi-dimensional indexing structures lose their efficiency with growth of dimensions. Our goal is to propose a divisive…

Information Retrieval · Computer Science 2015-03-13 Najva Izadpanah

Subsampled Randomized Hadamard Transform (SRHT), a popular random projection method that can efficiently project a $d$-dimensional data into $r$-dimensional space ($r \ll d$) in $O(dlog(d))$ time, has been widely used to address the…

Machine Learning · Computer Science 2020-10-07 Zijian Lei , Liang Lan
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