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This paper presents a survey on some recent advances for the type I error rate control in multiple testing methodology. We consider the problem of controlling the $k$-family-wise error rate (kFWER, probability to make $k$ false discoveries…

Methodology · Statistics 2011-03-15 Etienne Roquain

In a context of multiple hypothesis testing, we provide several new exact calculations related to the false discovery proportion (FDP) of step-up and step-down procedures. For step-up procedures, we show that the number of erroneous…

Statistics Theory · Mathematics 2011-06-29 Etienne Roquain , Fanny Villers

Hidden Markov models are widely used for modeling sequential data but typically have limited applicability in observational causal inference due to their strong conditional independence assumptions. I introduce feedback-augmented…

Methodology · Statistics 2025-03-21 Jouni Helske

Hidden Markov Models (HMMs) are one of the most fundamental and widely used statistical tools for modeling discrete time series. In general, learning HMMs from data is computationally hard (under cryptographic assumptions), and…

Machine Learning · Computer Science 2012-07-10 Daniel Hsu , Sham M. Kakade , Tong Zhang

We consider statistical hypothesis testing simultaneously over a fairly general, possibly uncountably infinite, set of null hypotheses, under the assumption that a suitable single test (and corresponding $p$-value) is known for each…

Methodology · Statistics 2014-02-10 Gilles Blanchard , Sylvain Delattre , Etienne Roquain

The positive false discovery rate (pFDR) is a useful overall measure of errors for multiple hypothesis testing, especially when the underlying goal is to attain one or more discoveries. Control of pFDR critically depends on how much…

Statistics Theory · Mathematics 2011-11-09 Zhiyi Chi

Effective and efficient malware detection is at the forefront of research into building secure digital systems. As with many other fields, malware detection research has seen a dramatic increase in the application of machine learning…

Cryptography and Security · Computer Science 2023-07-21 Aditya Raghavan , Fabio Di Troia , Mark Stamp

We consider controlling the false discovery rate for testing many time series with an unknown cross-sectional correlation structure. Given a large number of hypotheses, false and missing discoveries can plague an analysis. While many…

Methodology · Statistics 2021-06-10 Junpei Komiyama , Masaya Abe , Kei Nakagawa , Kenichiro McAlinn

Speech Recognition searches to predict the spoken words automatically. These systems are known to be very expensive because of using several pre-recorded hours of speech. Hence, building a model that minimizes the cost of the recognizer…

Artificial Intelligence · Computer Science 2015-01-23 Siwar Jendoubi , Boutheina Ben Yaghlane , Arnaud Martin

Multiple hypothesis testing with false discovery rate (FDR) control is a fundamental problem in statistical inference, with broad applications in genomics, drug screening, and outlier detection. In many such settings, researchers may have…

Methodology · Statistics 2026-02-19 Yonghoon Lee , Meshi Bashari , Edgar Dobriban , Yaniv Romano

We present a polyphonic MIDI score-following algorithm capable of following performances with arbitrary repeats and skips, based on a probabilistic model of musical performances. It is attractive in practical applications of score following…

Artificial Intelligence · Computer Science 2014-07-08 Eita Nakamura , Tomohiko Nakamura , Yasuyuki Saito , Nobutaka Ono , Shigeki Sagayama

We consider active maximum a posteriori (MAP) inference problem for Hidden Markov Models (HMM), where, given an initial MAP estimate of the hidden sequence, we select to label certain states in the sequence to improve the estimation…

Machine Learning · Statistics 2015-09-02 Armen E. Allahverdyan , Aram Galstyan

Hidden Markov models (HMMs) have been extensively used in the univariate and multivariate literature. However, there has been an increased interest in the analysis of matrix-variate data over the recent years. In this manuscript we…

Methodology · Statistics 2021-07-16 Salvatore D. Tomarchio , Antonio Punzo , Antonello Maruotti

False discovery rate (FDR) control methods are essential for voxel-wise multiple testing in neuroimaging data analysis, where hundreds of thousands or even millions of tests are conducted to detect brain regions associated with…

Machine Learning · Statistics 2025-05-30 Taehyo Kim , Qiran Jia , Mony J. de Leon , Hai Shu

We consider the problem of estimating the number of hidden states (the order) of a nonparametric hidden Markov model (HMM). We propose two different methods and prove their almost sure consistency without any prior assumption, be it on the…

Statistics Theory · Mathematics 2017-05-19 Luc Lehéricy

The formalism of state estimation and hidden Markov models (HMMs) can simplify and clarify the discussion of stochastic thermodynamics in the presence of feedback and measurement errors. After reviewing the basic formalism, we use it to…

Statistical Mechanics · Physics 2015-11-13 John Bechhoefer

We present a general framework for applying learning algorithms and heuristical guidance to the verification of Markov decision processes (MDPs). The primary goal of our techniques is to improve performance by avoiding an exhaustive…

The most popular multiple testing procedures are stepwise procedures based on $P$-values for individual test statistics. Included among these are the false discovery rate (FDR) controlling procedures of Benjamini--Hochberg [J. Roy. Statist.…

Statistics Theory · Mathematics 2009-06-18 Arthur Cohen , Harold B. Sackrowitz , Minya Xu

Hidden Markov models (HMMs) have been successfully applied to automatic speech recognition for more than 35 years in spite of the fact that a key HMM assumption -- the statistical independence of frames -- is obviously violated by speech…

Computation and Language · Computer Science 2010-03-02 Steven Wegmann , Larry Gillick

Several classical methods exist for controlling the false discovery exceedance (FDX) for large scale multiple testing problems, among them the Lehmann-Romano procedure ([LR] below) and the Guo-Romano procedure ([GR] below). While these two…

Methodology · Statistics 2019-12-11 Sebastian Döhler , Etienne Roquain