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In this article, a novel approach to learning a complex function which can be written as the system of linear equations is introduced. This learning is grounded upon the observation that solving the system of linear equations by a…

Machine Learning · Computer Science 2018-10-23 Kar-Ann Toh

Reconstructing weighted networks from partial information is necessary in many important circumstances, e.g. for a correct estimation of systemic risk. It has been shown that, in order to achieve an accurate reconstruction, it is crucial to…

Physics and Society · Physics 2017-03-07 Tiziano Squartini , Giulio Cimini , Andrea Gabrielli , Diego Garlaschelli

We develop a fast and robust algorithm for solving large scale convex composite optimization models with an emphasis on the $\ell_1$-regularized least squares regression (Lasso) problems. Despite the fact that there exist a large number of…

Optimization and Control · Mathematics 2017-05-04 Xudong Li , Defeng Sun , Kim-Chuan Toh

Sparse tensor algebra computations have become important in many real-world applications like machine learning, scientific simulations, and data mining. Hence, automated code generation and performance optimizations for tensor algebra…

Programming Languages · Computer Science 2022-05-25 Adhitha Dias , Kirshanthan Sundararajah , Charitha Saumya , Milind Kulkarni

Deep learning has shown promising results in many machine learning applications. The hierarchical feature representation built by deep networks enable compact and precise encoding of the data. A kernel analysis of the trained deep networks…

Machine Learning · Computer Science 2017-03-22 Mandar Kulkarni , Shirish Karande

We enlarge the number of available functional depths by introducing the kernelized functional spatial depth (KFSD). KFSD is a local-oriented and kernel-based version of the recently proposed functional spatial depth (FSD) that may be useful…

Methodology · Statistics 2015-01-09 Carlo Sguera , Pedro Galeano , Rosa Lillo

Recent medical image reconstruction techniques focus on generating high-quality medical images suitable for clinical use at the lowest possible cost and with the fewest possible adverse effects on patients. Recent works have shown…

Image and Video Processing · Electrical Eng. & Systems 2025-01-07 Shijun Liang , Anish Lahiri , Saiprasad Ravishankar

In this paper, we address the problem of reconstructing coverage maps from path-loss measurements in cellular networks. We propose and evaluate two kernel-based adaptive online algorithms as an alternative to typical offline methods. The…

Networking and Internet Architecture · Computer Science 2019-10-11 Martin Kasparick , Renato L. G. Cavalcante , Stefan Valentin , Slawomir Stanczak , Masahiro Yukawa

Subspace clustering is the unsupervised grouping of points lying near a union of low-dimensional linear subspaces. Algorithms based directly on geometric properties of such data tend to either provide poor empirical performance, lack…

Computer Vision and Pattern Recognition · Computer Science 2021-01-08 John Lipor , David Hong , Yan Shuo Tan , Laura Balzano

We study the problem of modeling multiple symmetric, weighted networks defined on a common set of nodes, where networks arise from different groups or conditions. We propose a model in which each network is expressed as the sum of a shared…

Statistics Theory · Mathematics 2025-06-23 Hao Yan , Keith Levin

Imaging across both the full transverse spatial and temporal dimensions of a scene with high precision in all three coordinates is key to applications ranging from LIDAR to fluorescence lifetime imaging. However, compromises that sacrifice,…

Image and Video Processing · Electrical Eng. & Systems 2021-01-12 C. Callenberg , A. Lyons , D. den Brok , A. Fatima , A. Turpin , V. Zickus , L. Machesky , J. Whitelaw , D. Faccio , M. B. Hullin

In this paper, we use composite optimization algorithms to solve sigmoid networks. We equivalently transfer the sigmoid networks to a convex composite optimization and propose the composite optimization algorithms based on the linearized…

Optimization and Control · Mathematics 2023-07-10 Huixiong Chen , Qi Ye

The contemporary scientific landscape is characterized by a "curse of dimensionality," where our capacity to collect high-dimensional network data frequently outstrips our ability to computationally simulate or intuitively comprehend the…

General Physics · Physics 2026-02-03 Zebiao Li , XueYing Wu , Chengyi Tu

We present a novel method for reconstructing a 3D implicit surface from a large-scale, sparse, and noisy point cloud. Our approach builds upon the recently introduced Neural Kernel Fields (NKF) representation. It enjoys similar…

Computer Vision and Pattern Recognition · Computer Science 2023-06-12 Jiahui Huang , Zan Gojcic , Matan Atzmon , Or Litany , Sanja Fidler , Francis Williams

Convolutional neural networks (CNNs) are used in many embedded applications, from industrial robotics and automation systems to biometric identification on mobile devices. State-of-the-art classification is typically achieved by large…

Machine Learning · Computer Science 2020-05-22 Yuan Wen , Andrew Anderson , Valentin Radu , Michael F. P. O'Boyle , David Gregg

Transfer learning techniques aim to leverage information from multiple related datasets to enhance prediction quality against a target dataset. Such methods have been adopted in the context of high-dimensional sparse regression, and some…

Machine Learning · Statistics 2025-01-31 Koki Okajima , Tomoyuki Obuchi

Despite recent progress on semantic segmentation, there still exist huge challenges in medical ultra-resolution image segmentation. The methods based on multi-branch structure can make a good balance between computational burdens and…

Computer Vision and Pattern Recognition · Computer Science 2020-02-20 Tong Wu , Yuan Xie , Yanyun Qu , Bicheng Dai , Shuxin Chen

With the emergence of passive and active optical sensors available for geospatial imaging, information fusion across sensors is becoming ever more important. An important aspect of single (or multiple) sensor geospatial image analysis is…

Computer Vision and Pattern Recognition · Computer Science 2016-07-19 Saurabh Prasad , Minshan Cui , Lifeng Yan

The Laplacian operator transforms the image into its Laplacian field, which usually is sparse and satisfies a stable distribution. On the other hand, an image can be uniquely reconstructed from its Laplacian field via solving a Poisson…

Image and Video Processing · Electrical Eng. & Systems 2026-04-28 Yuanhao Gong , Tan Tang , Qianyan Liu

Multimodal image fusion (MMIF) integrates information from different modalities to obtain a comprehensive image, aiding downstream tasks. However, existing research focuses on complementary information fusion and training strategies,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-12 Dan He , Guofen Wang , Weisheng Li , Yucheng Shu , Wenbo Li , Lijian Yang , Yuping Huang , Feiyan Li