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We consider the problem of clustering partially labeled data from a minimal number of randomly chosen pairwise comparisons between the items. We introduce an efficient local algorithm based on a power iteration of the non-backtracking…

Machine Learning · Computer Science 2018-06-28 Alaa Saade , Florent Krzakala , Marc Lelarge , Lenka Zdeborová

Most of the existing methods for anomaly detection use only positive data to learn the data distribution, thus they usually need a pre-defined threshold at the detection stage to determine whether a test instance is an outlier.…

Machine Learning · Computer Science 2019-03-19 Kai Tian , Shuigeng Zhou , Jianping Fan , Jihong Guan

Crowdsourcing has become widely used in supervised scenarios where training sets are scarce and difficult to obtain. Most crowdsourcing models in the literature assume labelers can provide answers to full questions. In classification…

Machine Learning · Computer Science 2019-08-15 Belen Saldias , Pavlos Protopapas , Karim Pichara

We define a novel, basic, unsupervised learning problem - learning the lowest density homogeneous hyperplane separator of an unknown probability distribution. This task is relevant to several problems in machine learning, such as…

Machine Learning · Computer Science 2009-01-22 Shai Ben-David , Tyler Lu , David Pal , Miroslava Sotakova

Clustering uncertain data is an essential task in data mining for the internet of things. Possible world based algorithms seem promising for clustering uncertain data. However, there are two issues in existing possible world based…

Machine Learning · Computer Science 2019-09-30 Han Liu , Xianchao Zhang , Xiaotong Zhang , Qimai Li , Xiao-Ming Wu

The task of the binary classification problem is to determine which of two distributions has generated a length-$n$ test sequence. The two distributions are unknown; two training sequences of length $N$, one from each distribution, are…

Information Theory · Computer Science 2016-04-18 Dayu Huang , Sean Meyn

Estimating the generalization performance is practically challenging on out-of-distribution (OOD) data without ground-truth labels. While previous methods emphasize the connection between distribution difference and OOD accuracy, we show…

Machine Learning · Computer Science 2023-10-24 Renchunzi Xie , Hongxin Wei , Lei Feng , Yuzhou Cao , Bo An

Real-life data are often non-IID due to complex distributions and interactions, and the sensitivity to the distribution of samples can differ among learning models. Accordingly, a key question for any supervised or unsupervised model is…

Machine Learning · Computer Science 2023-10-03 Zhilin Zhao , Longbing Cao

Outlier hypothesis testing is studied in a universal setting. Multiple sequences of observations are collected, a small subset of which are outliers. A sequence is considered an outlier if the observations in that sequence are distributed…

Information Theory · Computer Science 2014-04-02 Yun Li , Sirin Nitinawarat , Venugopal V. Veeravalli

When scholars suspect units are dependent on each other within clusters but independent of each other across clusters, they employ cluster-robust standard errors (CRSEs). Nevertheless, what to cluster over is sometimes unknown. For…

Methodology · Statistics 2025-11-12 Kentaro Fukumoto

We introduce a new statistical test based on the observed spacings of ordered data. The statistic is sensitive to detect non-uniformity in random samples, or short-lived features in event time series. Under some conditions, this new test…

Methodology · Statistics 2022-10-27 Philipp Eller , Lolian Shtembari

We present several new examples of speed-ups obtainable by quantum algorithms in the context of property testing. First, motivated by sampling algorithms, we consider probability distributions given in the form of an oracle $f:[n]\to[m]$.…

Quantum Physics · Physics 2010-05-13 Sourav Chakraborty , Eldar Fischer , Arie Matsliah , Ronald de Wolf

By design, discriminatively trained neural network classifiers produce reliable predictions only for in-distribution samples. For their real-world deployments, detecting out-of-distribution (OOD) samples is essential. Assuming OOD to be…

Machine Learning · Computer Science 2019-10-11 Sachin Vernekar , Ashish Gaurav , Vahdat Abdelzad , Taylor Denouden , Rick Salay , Krzysztof Czarnecki

In online classification, a learner is presented with a sequence of examples and aims to predict their labels in an online fashion so as to minimize the total number of mistakes. In the self-directed variant, the learner knows in advance…

Machine Learning · Computer Science 2023-08-08 Ilias Diakonikolas , Vasilis Kontonis , Christos Tzamos , Nikos Zarifis

The problem of detecting whether a test sample is from in-distribution (i.e., training distribution by a classifier) or out-of-distribution sufficiently different from it arises in many real-world machine learning applications. However, the…

Machine Learning · Statistics 2018-02-27 Kimin Lee , Honglak Lee , Kibok Lee , Jinwoo Shin

We study distribution testing in the standard access model and the conditional access model when the memory available to the testing algorithm is bounded. In both scenarios, the samples appear in an online fashion and the goal is to test…

Data Structures and Algorithms · Computer Science 2023-09-08 Sampriti Roy , Yadu Vasudev

We consider the task of out-of-distribution (OOD) generalization, where the distribution shift is due to an unobserved confounder ($Z$) affecting both the covariates ($X$) and the labels ($Y$). This confounding introduces heterogeneity in…

Machine Learning · Computer Science 2025-08-14 Parjanya Prashant , Seyedeh Baharan Khatami , Bruno Ribeiro , Babak Salimi

In many situations, sample data is obtained from a noisy or imperfect source. In order to address such corruptions, this paper introduces the concept of a sampling corrector. Such algorithms use structure that the distribution is purported…

Data Structures and Algorithms · Computer Science 2018-04-03 Clément Canonne , Themis Gouleakis , Ronitt Rubinfeld

We introduce a new discrepancy score between two distributions that gives an indication on their similarity. While much research has been done to determine if two samples come from exactly the same distribution, much less research…

Machine Learning · Computer Science 2012-10-16 Maayan Harel , Shie Mannor

There has been considerable recent interest in distribution-tests whose run-time and sample requirements are sublinear in the domain-size $k$. We study two of the most important tests under the conditional-sampling model where each query…

Data Structures and Algorithms · Computer Science 2015-04-17 Moein Falahatgar , Ashkan Jafarpour , Alon Orlitsky , Venkatadheeraj Pichapathi , Ananda Theertha Suresh
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