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Semi-supervised anomaly detection methods leverage a few anomaly examples to yield drastically improved performance compared to unsupervised models. However, they still suffer from two limitations: 1) unlabeled anomalies (i.e., anomaly…

Machine Learning · Computer Science 2023-07-26 Hongzuo Xu , Yijie Wang , Guansong Pang , Songlei Jian , Ning Liu , Yongjun Wang

This work is concerned with the detection of a mixture distribution from a $\mathbb{R}$-valued sample. Given a sample $X_1,\dots,X_n$ and an even density $\phi$, our aim is to detect whether the sample distribution is $\phi(\cdot-\mu)$ for…

Statistics Theory · Mathematics 2016-01-22 Béatrice Laurent , Clément Marteau , Cathy Maugis-Rabusseau

In microbial studies, samples are often treated under different experimental conditions and then tested for microbial survival. A technique, dating back to the 1880's, consists of diluting the samples several times and incubating each…

Applications · Statistics 2020-03-23 J Andrés Christen , Al Parker

Many machine learning problems can be characterized by mutual contamination models. In these problems, one observes several random samples from different convex combinations of a set of unknown base distributions and the goal is to infer…

Machine Learning · Statistics 2019-04-12 Julian Katz-Samuels , Gilles Blanchard , Clayton Scott

Inspired by recent work on learning with distribution shift, we give a general outlier removal algorithm called iterative polynomial filtering and show a number of striking applications for supervised learning with contamination: (1) We…

Machine Learning · Computer Science 2026-01-13 Adam R. Klivans , Konstantinos Stavropoulos , Kevin Tian , Arsen Vasilyan

Novelty detection, i.e., identifying whether a given sample is drawn from outside the training distribution, is essential for reliable machine learning. To this end, there have been many attempts at learning a representation well-suited for…

Machine Learning · Computer Science 2020-10-22 Jihoon Tack , Sangwoo Mo , Jongheon Jeong , Jinwoo Shin

Ocean microbes are critical to both ocean ecosystems and the global climate. Flow cytometry, which measures cell optical properties in fluid samples, is routinely used in oceanographic research. Despite decades of accumulated data,…

Methodology · Statistics 2025-04-17 Sangwon Hyun , Tim Coleman , Francois Ribalet , Jacob Bien

We examine the use of time series data, derived from Electric Cell-substrate Impedance Sensing (ECIS), to differentiate between standard mammalian cell cultures and those infected with a mycoplasma organism. With the goal of interpretable…

Quantitative Methods · Quantitative Biology 2022-02-23 Laura L. Tupper , Charles R. Keese , David S. Matteson

We report on a microfluidic method that allows measurement of a small concentration of large contaminants in suspensions of solid micrometer-scale particles. To perform the measurement, we flow the colloidal suspension through a series of…

Two-sample tests evaluate whether two samples are realizations of the same distribution (the null hypothesis) or two different distributions (the alternative hypothesis). We consider a new setting for this problem where sample features are…

Machine Learning · Computer Science 2022-07-20 Weizhi Li , Gautam Dasarathy , Karthikeyan Natesan Ramamurthy , Visar Berisha

In the realm of industrial quality inspection, defect detection stands as a critical component, particularly in high-precision, safety-critical sectors such as automotive components aerospace, and medical devices. Traditional methods,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Shuai Li , Shihan Chen , Wanru Geng , Zhaohua Xu , Xiaolu Liu , Can Dong , Zhen Tian , Changlin Chen

The group testing problem asks for efficient pooling schemes and algorithms that allow to screen moderately large numbers of samples for rare infections. The goal is to accurately identify the infected samples while conducting the least…

Artificial Intelligence · Computer Science 2021-05-19 AminCoja-Oghlan , Max Hahn-Klimroth , Philipp Loick , Manuel Penschuck

In an industrial context, the activity of sensors is recorded at a high frequency. A challenge is to automatically detect abnormal measurement behavior. Considering the sensor measures as functional data, the problem can be formulated as…

Statistics Theory · Mathematics 2022-03-09 Martial Amovin-Assagba , Irène Gannaz , Julien Jacques

In this work we propose and numerically analyze an algorithm for detection of a contaminant source using a dynamic sensor network. The algorithm is motivated using a global probabilistic optimization problem and is based on the analysis of…

Probability · Mathematics 2015-10-21 Sergio A. Almada Monter , Amarjit Budhiraja , Jan Hannig

Out-of-distribution detection seeks to identify novelties, samples that deviate from the norm. The task has been found to be quite challenging, particularly in the case where the normal data distribution consists of multiple semantic…

Computer Vision and Pattern Recognition · Computer Science 2022-09-23 Niv Cohen , Ron Abutbul , Yedid Hoshen

We present the first diffusion-based framework that can learn an unknown distribution using only highly-corrupted samples. This problem arises in scientific applications where access to uncorrupted samples is impossible or expensive to…

Machine Learning · Computer Science 2023-05-31 Giannis Daras , Kulin Shah , Yuval Dagan , Aravind Gollakota , Alexandros G. Dimakis , Adam Klivans

Deep learning has achieved spectacular performance in image and speech recognition and synthesis. It outperforms other machine learning algorithms in problems where large amounts of data are available. In the area of measurement technology,…

Quantitative Methods · Quantitative Biology 2019-08-20 Yueqin Li , Ata Mahjoubfar , Claire Lifan Chen , Kayvan Reza Niazi , Li Pei , Bahram Jalali

In supervised learning one wishes to identify a pattern present in a joint distribution $P$, of instances, label pairs, by providing a function $f$ from instances to labels that has low risk $\mathbb{E}_{P}\ell(y,f(x))$. To do so, the…

Machine Learning · Statistics 2015-07-07 Brendan van Rooyen , Robert C. Williamson

Distribution shifts remain a fundamental problem for the safe application of machine learning systems. If undetected, they may impact the real-world performance of such systems or will at least render original performance claims invalid. In…

Machine Learning · Computer Science 2023-03-10 Lisa M. Koch , Christian M. Schürch , Christian F. Baumgartner , Arthur Gretton , Philipp Berens

The problem of universal outlying sequence detection is studied, where the goal is to detect outlying sequences among $M$ sequences of samples. A sequence is considered as outlying if the observations therein are generated by a distribution…

Information Theory · Computer Science 2020-05-27 Yuheng Bu , Shaofeng Zou , Venugopal V. Veeravalli