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Consider the task of estimating a 3-order $n \times n \times n$ tensor from noisy observations of randomly chosen entries in the sparse regime. We introduce a similarity based collaborative filtering algorithm for estimating a tensor from…

Machine Learning · Computer Science 2023-01-18 Devavrat Shah , Christina Lee Yu

The challenge of optimal design of experiments (DOE) pervades materials science, physics, chemistry, and biology. Bayesian optimization has been used to address this challenge in vast sample spaces, although it requires framing experimental…

We introduce a new approach for estimating the invariant density of a multidimensional diffusion when dealing with high-frequency observations blurred by independent noises. We consider the intermediate regime, where observations occur at…

Statistics Theory · Mathematics 2024-04-19 Raphaël Maillet , Grégoire Szymanski

To test a theory of cosmic microwave background fluctuations, it is natural to expand an anisotropy map in an uncorrelated basis of linear combinations of pixel amplitudes --- statistically-independent for both the noise and the signal.…

Astrophysics · Physics 2009-01-23 J. Richard Bond

Deep neural networks (DNNs) trained for image denoising are able to generate high-quality samples with score-based reverse diffusion algorithms. These impressive capabilities seem to imply an escape from the curse of dimensionality, but…

Computer Vision and Pattern Recognition · Computer Science 2025-03-03 Zahra Kadkhodaie , Florentin Guth , Eero P. Simoncelli , Stéphane Mallat

Graph representation learning has achieved great success in many areas, including e-commerce, chemistry, biology, etc. However, the fundamental problem of choosing the appropriate dimension of node embedding for a given graph still remains…

Machine Learning · Computer Science 2021-09-01 Gongxu Luo , Jianxin Li , Jianlin Su , Hao Peng , Carl Yang , Lichao Sun , Philip S. Yu , Lifang He

In this paper, we present a new approach for the analysis of iterative node-based verification-based (NB-VB) recovery algorithms in the context of compressive sensing. These algorithms are particularly interesting due to their low…

Information Theory · Computer Science 2011-06-02 Yaser Eftekhari , Anoosheh Heidarzadeh , Amir H. Banihashemi , Ioannis Lambadaris

We propose a new framework for identifying mechanical properties of heterogeneous materials without a closed-form constitutive equation. Given a full-field measurement of the displacement field, for instance as obtained from digital image…

Bird's-eye-view (BEV) representations play a crucial role in autonomous driving tasks. Despite recent advancements in BEV generation, inherent noise, stemming from sensor limitations and the learning process, remains largely unaddressed,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Xin Ye , Burhaneddin Yaman , Sheng Cheng , Feng Tao , Abhirup Mallik , Liu Ren

In this paper, we present a new approach for the analysis of iterative node-based verification-based (NB-VB) recovery algorithms in the context of compressive sensing. These algorithms are particularly interesting due to their low…

Information Theory · Computer Science 2011-04-04 Yaser Eftekhari , Anoosheh Heidarzadeh , Amir H. Banihashemi , Ioannis Lambadaris

We propose a novel adaptive importance sampling scheme for Bayesian inversion problems where the inference of the variables of interest and the power of the data noise is split. More specifically, we consider a Bayesian analysis for the…

Computation · Statistics 2021-07-27 L. Martino , F. Llorente , E. Curbelo , J. Lopez-Santiago , J. Miguez

This article presents a new dust SED model, named HerBIE, aimed at eliminating the noise-induced correlations and large scatter obtained when performing least-squares fits. The originality of this code is to apply the hierarchical Bayesian…

Astrophysics of Galaxies · Physics 2018-02-14 F. Galliano

Error mitigation is essential for extracting reliable results from quantum computations performed on noisy intermediate-scale quantum hardware. Here we introduce Noise-Robust Estimation (NRE), a noise-agnostic framework that suppresses…

In this paper we propose a continuous data assimilation (downscaling) algorithm for the B\'enard convection in porous media using only coarse mesh measurements of the temperature. In this algorithm, we incorporate the observables as a…

Analysis of PDEs · Mathematics 2015-10-12 Aseel Farhat , Evelyn Lunasin , Edriss S. Titi

Neurite Orientation Dispersion and Density Imaging (NODDI) is an important imaging technology used to evaluate the microstructure of brain tissue, which is of great significance for the discovery and treatment of various neurological…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Taohui Xiao , Jian Cheng , Wenxin Fan , Jing Yang , Cheng Li , Enqing Dong , Shanshan Wang

Combining neuroimaging datasets from multiple sites and scanners can help increase statistical power and thus provide greater insight into subtle neuroanatomical effects. However, site-specific effects pose a challenge by potentially…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Ayodeji Ijishakin , Ana Lawry Aguila , Elizabeth Levitis , Ahmed Abdulaal , Andre Altmann , James Cole

Sensor selection refers to the problem of intelligently selecting a small subset of a collection of available sensors to reduce the sensing cost while preserving signal acquisition performance. The majority of sensor selection algorithms…

Other Computer Science · Computer Science 2017-02-27 Amirali Aghazadeh , Mohammad Golbabaee , Andrew S. Lan , Richard G. Baraniuk

The Compressive Sensing (CS) framework aims to ease the burden on analog-to-digital converters (ADCs) by reducing the sampling rate required to acquire and stably recover sparse signals. Practical ADCs not only sample but also quantize each…

Information Theory · Computer Science 2015-11-04 Laurent Jacques , Jason N. Laska , Petros T. Boufounos , Richard G. Baraniuk

Temperature evolution of the 2H-TaSe2 Fermi surface (FS) is studied by high-resolution angle-resolved photoemission spectroscopy (ARPES). High-accuracy determination of the FS geometry was possible after measuring electron momenta and…

Strongly Correlated Electrons · Physics 2009-03-20 D. S. Inosov , D. V. Evtushinsky , V. B. Zabolotnyy , A. A. Kordyuk , B. Buechner , R. Follath , H. Berger , S. V. Borisenko

Stack autoencoder (SAE), as a representative deep network, has unique and excellent performance in feature learning, and has received extensive attention from researchers. However, existing deep SAEs focus on original samples without…

Machine Learning · Computer Science 2022-10-28 Chuanyan Zhou , Jie Ma , Fan Li , Yongming Li , Pin Wang , Xiaoheng Zhang
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