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Deep-learning-based methods for different applications have been shown vulnerable to adversarial examples. These examples make deployment of such models in safety-critical tasks questionable. Use of deep neural networks as inverse problem…

Machine Learning · Computer Science 2020-02-28 Ankit Raj , Yoram Bresler , Bo Li

Material characterization using electron micrographs is a crucial but challenging task with applications in various fields, such as semiconductors, quantum materials, batteries, etc. The challenges in categorizing electron micrographs…

Machine Learning · Computer Science 2024-08-22 Sakhinana Sagar Srinivas , Rajat Kumar Sarkar , Sreeja Gangasani , Venkataramana Runkana

We propose a novel method for creating adversarial examples. Instead of perturbing pixels, we use an encoder-decoder representation of the input image and perturb intermediate layers in the decoder. This changes the high-level features…

Computer Vision and Pattern Recognition · Computer Science 2021-10-15 Vojtěch Čermák , Lukáš Adam

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…

Background Subtraction (BS) is one of the key steps in video analysis. Many background models have been proposed and achieved promising performance on public data sets. However, due to challenges such as illumination change, dynamic…

Computer Vision and Pattern Recognition · Computer Science 2015-04-16 Bo Xin , Yuan Tian , Yizhou Wang , Wen Gao

We consider future balloon-borne and ground-based suborbital experiments designed to search for inflationary gravitational waves, and investigate the impact of residual foregrounds that remain in the estimated cosmic microwave background…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-03 Y. Fantaye , F. Stivoli , J. Grain , S. M. Leach , M. Tristram , C. Baccigalupi , R. Stompor

This paper is a tutorial for eigenvalue and generalized eigenvalue problems. We first introduce eigenvalue problem, eigen-decomposition (spectral decomposition), and generalized eigenvalue problem. Then, we mention the optimization problems…

Machine Learning · Statistics 2023-05-23 Benyamin Ghojogh , Fakhri Karray , Mark Crowley

Large pre-trained models, or foundation models, have shown impressive performance when adapted to a variety of downstream tasks, often out-performing specialized models. Hypernetworks, neural networks that generate some or all of the…

Machine Learning · Computer Science 2025-03-04 Jeffrey Gu , Serena Yeung-Levy

Unsupervised landmark learning is the task of learning semantic keypoint-like representations without the use of expensive input keypoint-level annotations. A popular approach is to factorize an image into a pose and appearance data stream,…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Aysegul Dundar , Kevin J. Shih , Animesh Garg , Robert Pottorf , Andrew Tao , Bryan Catanzaro

We present a novel approach to background subtraction that is based on the local shape of small image regions. In our approach, an image region centered on a pixel is mod-eled using the local self-similarity descriptor. We aim at obtaining…

Computer Vision and Pattern Recognition · Computer Science 2012-05-18 Jean-Philippe Jodoin , Guillaume-Alexandre Bilodeau , Nicolas Saunier

Feature visualization is used to visualize learned features for black box machine learning models. Our approach explores an altered training process to improve interpretability of the visualizations. We argue that by using background…

Computer Vision and Pattern Recognition · Computer Science 2023-06-26 Ian E. Nielsen , Erik Grundeland , Joseph Snedeker , Ghulam Rasool , Ravi P. Ramachandran

We introduce an eigenvalue-preserving transformation algorithm from the generalized eigenvalue problem by matrix pencil of the upper and the lower bidiagonal matrices into a standard eigenvalue problem while preserving sparsity, using the…

Numerical Analysis · Mathematics 2025-05-06 Katsuki Kobayashi , Kazuki Maeda , Satoshi Tsujimoto

The eigenvalue problem for 3x3 octonionic Hermitian matrices contains some surprises, which we have reported elsewhere. In particular, the eigenvalues need not be real, there are 6 rather than 3 real eigenvalues, and the corresponding…

Rings and Algebras · Mathematics 2009-10-31 Tevian Dray , Corinne A. Manogue

The algorithm derived in this article, which builds upon the original paper, takes a holistic view of the handedness of an orthonormal eigenvector matrix so as to transfer what would have been labeled as a reflection in the original…

Numerical Analysis · Mathematics 2024-09-13 Jay Damask

Recent studies on Generative Adversarial Network (GAN) reveal that different layers of a generative CNN hold different semantics of the synthesized images. However, few GAN models have explicit dimensions to control the semantic attributes…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Zhenliang He , Meina Kan , Shiguang Shan

Graph Neural Networks (GNNs) are emerging machine learning models on graphs. Although sufficiently deep GNNs are shown theoretically capable of fully preserving graph structures, most existing GNN models in practice are shallow and…

Machine Learning · Computer Science 2020-06-09 Ziwei Zhang , Peng Cui , Jian Pei , Xin Wang , Wenwu Zhu

Many people search for foreground objects to use when editing images. While existing methods can retrieve candidates to aid in this, they are constrained to returning objects that belong to a pre-specified semantic class. We instead propose…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Yinan Zhao , Brian Price , Scott Cohen , Danna Gurari

Searches for new astrophysical phenomena often involve several sources of non-random uncertainties which can lead to highly misleading results. Among these, model-uncertainty arising from background mismodelling can dramatically compromise…

Data Analysis, Statistics and Probability · Physics 2020-01-15 Sara Algeri

The existing doubling algorithms have been proven efficient for several important nonlinear matrix equations arising from real-world engineering applications. In a nutshell, the algorithms iteratively compute a basis matrix, in one of the…

Numerical Analysis · Mathematics 2026-02-10 Changli Liu , Tiexiang Li , Jungong Xue , Ren-Cang Li , Wen-Wei Lin

The main of this work is to use the unit lower triangular matrices for solving inverse eigenvalue problem of nonnegative matrices and present the easier method to solve this problem.

Numerical Analysis · Mathematics 2018-05-22 Alimohammad Nazari , Atiyeh Nezami