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Mutual information (MI) is a general measure of statistical dependence with widespread application across the sciences. However, estimating MI between multi-dimensional variables is challenging because the number of samples necessary to…

Quantitative Methods · Quantitative Biology 2025-03-06 Gokul Gowri , Xiao-Kang Lun , Allon M. Klein , Peng Yin

In many practical cases, the engineer has access to prior knowledge like rough values of the DC-gain or the main time constant of the system. In order to improve the accuracy of subspace-based identification techniques using the model…

Systems and Control · Computer Science 2016-06-28 Guillaume Mercère

This paper concerns the problem of estimating multidimensional (MD) frequencies using prior knowledge of the signal spectral sparsity from partial time samples. In many applications, such as radar, wireless communications, and…

Information Theory · Computer Science 2019-04-26 Yinchuan Li , Xu Zhang , Zegang Ding , Xiaodong Wang

Historical information, such as past function values or gradients, has significant potential to enhance decentralized optimization methods for two key reasons: first, it provides richer information about the objective function, which also…

Optimization and Control · Mathematics 2025-12-19 Zhao Zhu , Yu-Ping Tian , Xuyang Wu

Private data analysis suffers a costly curse of dimensionality. However, the data often has an underlying low-dimensional structure. For example, when optimizing via gradient descent, the gradients often lie in or near a low-dimensional…

Cryptography and Security · Computer Science 2021-08-12 Vikrant Singhal , Thomas Steinke

In practical least squares realization problems, partial information about the pole locations of the dynamical model may be known a priori. Existing techniques for incorporating this prior knowledge, such as prefiltering the given data, are…

Optimization and Control · Mathematics 2026-04-06 Christof Vermeersch , Sibren Lagauw , Bart De Moor

Large-scale eigenvalue problems arise in various fields of science and engineering and demand computationally efficient solutions. In this study, we investigate the subspace approximation for parametric linear eigenvalue problems, aiming to…

Huge overhead of beam training poses a significant challenge to mmWave communications. To address this issue, beam tracking has been widely investigated whereas existing methods are hard to handle serious multipath interference and…

Signal Processing · Electrical Eng. & Systems 2021-02-09 Ke Ma , Dongxuan He , Hancun Sun , Zhaocheng Wang

The need for tomographic reconstruction from sparse measurements arises when the measurement process is potentially harmful, needs to be rapid, or is uneconomical. In such cases, prior information from previous longitudinal scans of the…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Preeti Gopal , Sharat Chandran , Imants Svalbe , Ajit Rajwade

We consider the problem of subspace estimation in situations where the number of available snapshots and the observation dimension are comparable in magnitude. In this context, traditional subspace methods tend to fail because the…

Information Theory · Computer Science 2016-11-15 Pascal Vallet , Philippe Loubaton , Xavier Mestre

Self-supervised monocular depth estimation aims to infer depth information without relying on labeled data. However, the lack of labeled information poses a significant challenge to the model's representation, limiting its ability to…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Guodong Sun , Junjie Liu , Mingxuan Liu , Moyun Liu , Yang Zhang

Depth information is useful for many applications. Active depth sensors are appealing because they obtain dense and accurate depth maps. However, due to issues that range from power constraints to multi-sensor interference, these sensors…

Image and Video Processing · Electrical Eng. & Systems 2020-02-04 James Noraky , Vivienne Sze

When autonomous systems are deployed in real-world scenarios, sensors are often subject to limited field-of-view (FOV) constraints, either naturally through system design, or through unexpected occlusions or sensor failures. In conditions…

Robotics · Computer Science 2026-02-16 Knut Peterson , David Han

Conventional multi-view re-ranking methods usually perform asymmetrical matching between the region of interest (ROI) in the query image and the whole target image for similarity computation. Due to the inconsistency in the visual…

Computer Vision and Pattern Recognition · Computer Science 2018-08-15 Jun Li , Chang Xu , Wankou Yang , Changyin Sun , Dacheng Tao , Hong Zhang

In structured prediction problems where we have indirect supervision of the output, maximum marginal likelihood faces two computational obstacles: non-convexity of the objective and intractability of even a single gradient computation. In…

Machine Learning · Statistics 2016-08-11 Aditi Raghunathan , Roy Frostig , John Duchi , Percy Liang

In this document, some general results in approximation theory and matrix analysis with applications to sparse identification of time series models and nonlinear discrete-time dynamical systems are presented. The aforementioned theoretical…

Numerical Analysis · Mathematics 2021-08-04 Fredy Vides

This paper addresses the problem of mapping high-dimensional data to a low-dimensional space, in the presence of other known features. This problem is ubiquitous in science and engineering as there are often controllable/measurable features…

Machine Learning · Statistics 2024-01-01 Anh Tuan Bui

Deep Metric Learning (DML) approaches learn to represent inputs to a lower-dimensional latent space such that the distance between representations in this space corresponds with a predefined notion of similarity. This paper investigates how…

Computer Vision and Pattern Recognition · Computer Science 2020-09-09 Niall O' Mahony , Sean Campbell , Anderson Carvalho , Lenka Krpalkova , Gustavo Velasco-Hernandez , Daniel Riordan , Joseph Walsh

In this paper, we study local information privacy (LIP), and design LIP based mechanisms for statistical aggregation while protecting users' privacy without relying on a trusted third party. The notion of context-awareness is incorporated…

Cryptography and Security · Computer Science 2020-12-01 Bo Jiang , Ming Li , Ravi Tandon

Deep learning has been widely used for solving image reconstruction tasks but its deployability has been held back due to the shortage of high-quality training data. Unsupervised learning methods, such as the deep image prior (DIP),…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Riccardo Barbano , Javier Antorán , Johannes Leuschner , José Miguel Hernández-Lobato , Bangti Jin , Željko Kereta
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