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One pivot challenge for image anomaly (AD) detection is to learn discriminative information only from normal class training images. Most image reconstruction based AD methods rely on the discriminative capability of reconstruction error.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Dongyun Lin , Yiqun Li , Shudong Xie , Tin Lay Nwe , Sheng Dong

High false-positive rate is a long-standing challenge for anomaly detection algorithms, especially in high-stake applications. To identify the true anomalies, in practice, analysts or domain experts will be employed to investigate the top…

Machine Learning · Computer Science 2020-09-17 Daochen Zha , Kwei-Herng Lai , Mingyang Wan , Xia Hu

We propose a neural network-based algorithm for solving forward and inverse problems for partial differential equations in unsupervised fashion. The solution is approximated by a deep neural network which is the minimizer of a cost…

Machine Learning · Computer Science 2019-04-12 Leah Bar , Nir Sochen

We investigate unsupervised anomaly detection for high-dimensional data and introduce a deep metric learning (DML) based framework. In particular, we learn a distance metric through a deep neural network. Through this metric, we project the…

Machine Learning · Computer Science 2020-05-13 Selim F. Yilmaz , Suleyman S. Kozat

Obtaining compact and discriminative features is one of the major challenges in many of the real-world image classification tasks such as face verification and object recognition. One possible approach is to represent input image on the…

Computer Vision and Pattern Recognition · Computer Science 2012-11-29 Junyoung Chung , Donghoon Lee , Youngjoo Seo , Chang D. Yoo

Determinantal point processes (DPPs) have attracted significant attention in machine learning for their ability to model subsets drawn from a large item collection. Recent work shows that nonsymmetric DPP (NDPP) kernels have significant…

Machine Learning · Computer Science 2021-04-14 Mike Gartrell , Insu Han , Elvis Dohmatob , Jennifer Gillenwater , Victor-Emmanuel Brunel

Linear discriminant analysis (LDA) is an important classification tool in statistics and machine learning. This paper investigates the varying coefficient LDA model for dynamic data, with Bayes' discriminant direction being a function of…

Methodology · Statistics 2022-10-11 Yajie Bao , Yuyang Liu

Stereo-based depth estimation is a cornerstone of computer vision, with state-of-the-art methods delivering accurate results in real time. For several applications such as autonomous navigation, however, it may be useful to trade accuracy…

Computer Vision and Pattern Recognition · Computer Science 2020-06-02 Abhishek Badki , Alejandro Troccoli , Kihwan Kim , Jan Kautz , Pradeep Sen , Orazio Gallo

We consider the problem of decomposing a multivariate polynomial as the difference of two convex polynomials. We introduce algebraic techniques which reduce this task to linear, second order cone, and semidefinite programming. This allows…

Optimization and Control · Mathematics 2018-09-13 Amir Ali Ahmadi , Georgina Hall

Nonnegative matrix factorization is a powerful technique to realize dimension reduction and pattern recognition through single-layer data representation learning. Deep learning, however, with its carefully designed hierarchical structure,…

Computer Vision and Pattern Recognition · Computer Science 2017-07-31 Zhenxing Guo , Shihua Zhang

We present two new algebraic multilevel hierarchical matrix algorithms to perform fast matrix-vector product (MVP) for $N$-body problems in $d$ dimensions, namely efficient $\mathcal{H}^2_{*}$ (fully nested algorithm, i.e., $\mathcal{H}^2$…

Numerical Analysis · Mathematics 2026-04-13 Ritesh Khan , Sivaram Ambikasaran

Person re-identification is to seek a correct match for a person of interest across views among a large number of imposters. It typically involves two procedures of non-linear feature extractions against dramatic appearance changes, and…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Lin Wu , Chunhua Shen , Anton van den Hengel

High-dimensional data classification is a fundamental task in machine learning and imaging science. In this paper, we propose a two-stage multiphase semi-supervised classification method for classifying high-dimensional data and…

Numerical Analysis · Mathematics 2019-05-22 Xiaohao Cai , Raymond Chan , Xiaoyu Xie , Tieyong Zeng

In this study, we propose an innovative dynamic classification algorithm aimed at achieving zero missed detections and minimal false positives,acritical in safety-critical domains (e.g., medical diagnostics) where undetected cases risk…

Machine Learning · Computer Science 2025-06-02 Ziyuan Zhong , Junyang Zhou

We propose exploiting symmetries (exact or approximate) of the Standard Model (SM) to search for physics Beyond the Standard Model (BSM) using the data-directed paradigm (DDP). Symmetries are very powerful because they provide two samples…

High Energy Physics - Phenomenology · Physics 2022-06-09 Mattias Birman , Benjamin Nachman , Raphael Sebbah , Gal Sela , Ophir Turetz , Shikma Bressler

We propose a new technique for obtaining reduced order models for nonlinear dynamical systems. Specifically, we advocate the use of the recently developed Dynamic Mode Decomposition (DMD), an equation-free method, to approximate the…

Numerical Analysis · Mathematics 2016-02-17 Alessandro Alla , J. Nathan Kutz

Data in real-world application often exhibit skewed class distribution which poses an intense challenge for machine learning. Conventional classification algorithms are not effective in the case of imbalanced data distribution, and may fail…

Machine Learning · Computer Science 2019-01-08 Enlu Lin , Qiong Chen , Xiaoming Qi

A major challenge in scaling object detection is the difficulty of obtaining labeled images for large numbers of categories. Recently, deep convolutional neural networks (CNNs) have emerged as clear winners on object classification…

Computer Vision and Pattern Recognition · Computer Science 2017-11-10 Judy Hoffman , Sergio Guadarrama , Eric Tzeng , Ronghang Hu , Jeff Donahue , Ross Girshick , Trevor Darrell , Kate Saenko

We describe a non-parametric, "example-based" method for estimating the depth of an object, viewed in a single photo. Our method consults a database of example 3D geometries, searching for those which look similar to the object in the…

Computer Vision and Pattern Recognition · Computer Science 2013-04-16 Tal Hassner , Ronen Basri

It has been a long time, since data mining technologies have made their ways to the field of data management. Classification is one of the most important data mining tasks for label prediction, categorization of objects into groups,…

Databases · Computer Science 2015-11-12 Mohammad Khabbaz