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We develop a distribution-free, unsupervised anomaly detection method called ECAD, which wraps around any regression algorithm and sequentially detects anomalies. Rooted in conformal prediction, ECAD does not require data exchangeability…

Applications · Statistics 2021-06-04 Chen Xu , Yao Xie

This paper presents a new functionality of the Automatic Differentiation (AD) tool Tapenade. Tapenade generates adjoint codes which are widely used for optimization or inverse problems. Unfortunately, for large applications the adjoint code…

Data Structures and Algorithms · Computer Science 2007-05-23 Laurent Hascoet , Mauricio Araya-Polo

Unsupervised Anomaly detection (AD) requires building a notion of normalcy, distinguishing in-distribution (ID) and out-of-distribution (OOD) data, using only available ID samples. Recently, large gains were made on this task for the domain…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Mohamed Yousef , Marcel Ackermann , Unmesh Kurup , Tom Bishop

Traditional reconstruction-based methods have struggled to achieve competitive performance in anomaly detection. In this paper, we introduce Denoising Diffusion Anomaly Detection (DDAD), a novel denoising process for image reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Arian Mousakhan , Thomas Brox , Jawad Tayyub

No single Automatic Differentiation (AD) system is the optimal choice for all problems. This means informed selection of an AD system and combinations can be a problem-specific variable that can greatly impact performance. In the Julia…

Mathematical Software · Computer Science 2022-02-08 Frank Schäfer , Mohamed Tarek , Lyndon White , Chris Rackauckas

We present a GPU-based system for automatic differentiation (AD) of functions defined on triangle meshes, designed to exploit the locality and sparsity in mesh-based computation. Our system evaluates derivatives using per-element…

Graphics · Computer Science 2026-02-03 Ahmed H. Mahmoud , Rahul Goel , Jonathan Ragan-Kelley , Justin Solomon

We extend JAX with the capability to automatically differentiate higher-order functions (functionals and operators). By representing functions as a generalization of arrays, we seamlessly use JAX's existing primitive system to implement…

Programming Languages · Computer Science 2024-01-30 Min Lin

In the domain of anomaly detection, methods often excel in either high-level semantic or low-level industrial benchmarks, rarely achieving cross-domain proficiency. Semantic anomalies are novelties that differ in meaning from the training…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Luc P. J. Sträter , Mohammadreza Salehi , Efstratios Gavves , Cees G. M. Snoek , Yuki M. Asano

Stochastic optimization algorithms using exponential moving averages of the past gradients, such as ADAM, RMSProp and AdaGrad, have been having great successes in many applications, especially in training deep neural networks. ADAM in…

Machine Learning · Computer Science 2026-01-30 Ruiqi Wang , Diego Klabjan

Current state-of-the-art multi-class unsupervised anomaly detection (MUAD) methods rely on training encoder-decoder models to reconstruct anomaly-free features. We first show these approaches have an inherent fidelity-stability dilemma in…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Xingwu Zhang , Guanxuan Li , Paul Henderson , Gerardo Aragon-Camarasa , Zijun Long

We present principles of algebraic diversity (AD), a group-theoretic approach to signal processing exploiting signal symmetry to extract more information per observation, complementing classical methods that use temporal and spatial…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Mitchell A. Thornton

We present Manifold Alignment Determination (MAD), an algorithm for learning alignments between data points from multiple views or modalities. The approach is capable of learning correspondences between views as well as correspondences…

Machine Learning · Statistics 2017-01-13 Andreas Damianou , Neil D. Lawrence , Carl Henrik Ek

The Harmonic Balance-Alternating Frequency-Time domain (HB-AFT) method is extensively employed for dynamic response analysis of nonlinear systems. However, its application to high-dimensional complex systems is constrained by the manual…

Computational Engineering, Finance, and Science · Computer Science 2025-08-12 Yi Chen , Yuhong Jin , Rongzhou Lin , Yifan Jiang , Xutao Mei , Lei Houb , Yilong Wang , Ng Teng Yong , Anxin Guo

It is common to reject undesired outputs of Large Language Models (LLMs); however, current methods to do so require an excessive amount of computation to re-sample after a rejection, or distort the distribution of outputs by constraining…

Computation and Language · Computer Science 2025-10-09 Daniel Melcer , Sujan Gonugondla , Pramuditha Perera , Haifeng Qian , Wen-Hao Chiang , Yanjun Wang , Nihal Jain , Pranav Garg , Xiaofei Ma , Anoop Deoras

Despite the prevalence of reconstruction-based deep learning methods, time series anomaly detection remains a tremendous challenge. Existing approaches often struggle with limited temporal contexts, insufficient representation of normal…

Machine Learning · Computer Science 2025-07-16 Zhijie Zhong , Zhiwen Yu , Xing Xi , Yue Xu , Wenming Cao , Yiyuan Yang , Kaixiang Yang , Jane You

Sparse PCA is one of the most well-studied problems in high-dimensional statistics. In this problem, we are given samples from a distribution with covariance $\Sigma$, whose top eigenvector $v \in R^d$ is $s$-sparse. Existing sparse PCA…

Machine Learning · Statistics 2026-03-04 Syamantak Kumar , Purnamrita Sarkar , Kevin Tian , Peiyuan Zhang

Performing anomaly detection in hybrid systems is a challenging task since it requires analysis of timing behavior and mutual dependencies of both discrete and continuous signals. Typically, it requires modeling system behavior, which is…

Machine Learning · Computer Science 2020-10-30 Nemanja Hranisavljevic , Oliver Niggemann , Alexander Maier

Discriminative Dictionary Learning (DL) methods have been widely advocated for image classification problems. To further sharpen their discriminative capabilities, most state-of-the-art DL methods have additional constraints included in the…

Machine Learning · Computer Science 2019-03-08 Wen Tang , Ashkan Panahi , Hamid Krim , Liyi Dai

Dictionary learning aims at seeking a dictionary under which the training data can be sparsely represented. Methods in the literature typically formulate the dictionary learning problem as an optimization w.r.t. two variables, i.e.,…

Signal Processing · Electrical Eng. & Systems 2021-10-27 Cheng Cheng , Wei Dai

This paper presents a novel anomaly detection methodology termed Statistical Aggregated Anomaly Detection (SAAD). The SAAD approach integrates advanced statistical techniques with machine learning, and its efficacy is demonstrated through…

Machine Learning · Computer Science 2024-06-14 Dacian Goina , Eduard Hogea , George Maties
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