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The selection of the best classification algorithm for a given dataset is a very widespread problem, occuring each time one has to choose a classifier to solve a real-world problem. It is also a complex task with many important…

Machine Learning · Computer Science 2012-08-16 Vincent Labatut , Hocine Cherifi

We compute the integral of a function or the expectation of a random variable with minimal cost and use, for our new algorithm and for upper bounds of the complexity, i.i.d. samples. Under certain assumptions it is possible to select a…

Numerical Analysis · Mathematics 2018-10-24 Robert J. Kunsch , Erich Novak , Daniel Rudolf

In this paper, we study the tradeoff between the approximation guarantee and adaptivity for the problem of maximizing a monotone submodular function subject to a cardinality constraint. The adaptivity of an algorithm is the number of…

Data Structures and Algorithms · Computer Science 2018-11-01 Alina Ene , Huy L. Nguyen

Compressed sensing typically deals with the estimation of a system input from its noise-corrupted linear measurements, where the number of measurements is smaller than the number of input components. The performance of the estimation…

Information Theory · Computer Science 2016-11-17 Jin Tan , Danielle Carmon , Dror Baron

The noise sensitivity of a Boolean function $f: \{0,1\}^n \rightarrow \{0,1\}$ is one of its fundamental properties. A function of a positive noise parameter $\delta$, it is denoted as $NS_{\delta}[f]$. Here we study the algorithmic problem…

Data Structures and Algorithms · Computer Science 2019-04-16 Ronitt Rubinfeld , Arsen Vasilyan

In the domains of dataset construction and crowdsourcing, a notable challenge is to aggregate labels from a heterogeneous set of labelers, each of whom is potentially an expert in some subset of tasks (and less reliable in others). To…

Machine Learning · Computer Science 2021-01-07 Surin Ahn , Ayfer Ozgur , Mert Pilanci

High-quality labels are often very scarce, whereas unlabeled data with inferred weak labels occurs more naturally. In many cases, these weak labels dictate the frequency of each respective class over a set of instances. In this paper, we…

Machine Learning · Computer Science 2023-11-27 Vinay Shukla , Zhe Zeng , Kareem Ahmed , Guy Van den Broeck

We study $p$-Faulty Search, a variant of the classic cow-path optimization problem, where a unit speed robot searches the half-line (or $1$-ray) for a hidden item. The searcher is probabilistically faulty, and detection of the item with…

Data Structures and Algorithms · Computer Science 2020-02-19 Anthony Bonato , Konstantinos Georgiou , Calum MacRury , Pawel Pralat

In Multi-Label Learning (MLL), it is extremely challenging to accurately annotate every appearing object due to expensive costs and limited knowledge. When facing such a challenge, a more practical and cheaper alternative should be Single…

Machine Learning · Computer Science 2024-06-11 Xiang Li , Xinrui Wang , Songcan Chen

The problem of maximizing a constrained monotone set function has many practical applications and generalizes many combinatorial problems. Unfortunately, it is generally not possible to maximize a monotone set function up to an acceptable…

Data Structures and Algorithms · Computer Science 2014-08-29 Moran Feldman , Rani Izsak

We study the problem of {\sl certification}: given queries to a function $f : \{0,1\}^n \to \{0,1\}$ with certificate complexity $\le k$ and an input $x^\star$, output a size-$k$ certificate for $f$'s value on $x^\star$. This abstractly…

Data Structures and Algorithms · Computer Science 2022-04-08 Guy Blanc , Caleb Koch , Jane Lange , Li-Yang Tan

We give a constant factor polynomial time pseudo-approximation algorithm for min-sum clustering with or without outliers. The algorithm is allowed to exclude an arbitrarily small constant fraction of the points. For instance, we show how to…

Data Structures and Algorithms · Computer Science 2020-11-25 Sandip Banerjee , Rafail Ostrovsky , Yuval Rabani

In many real-world classification problems, the labels of training examples are randomly corrupted. Most previous theoretical work on classification with label noise assumes that the two classes are separable, that the label noise is…

Machine Learning · Statistics 2016-08-08 Gilles Blanchard , Marek Flaska , Gregory Handy , Sara Pozzi , Clayton Scott

We consider estimating the transition probability matrix of a finite-state finite-observation alphabet hidden Markov model with known observation probabilities. The main contribution is a two-step algorithm; a method of moments estimator…

Systems and Control · Computer Science 2017-11-22 Robert Mattila , Cristian R. Rojas , Vikram Krishnamurthy , Bo Wahlberg

In many classification problems, misclassification costs are highly asymmetric, while training labels are often corrupted due to measurement error, annotator variability, or adversarial noise. The Neyman-Pearson multiclass classification…

Methodology · Statistics 2026-04-22 Qiong Zhang , Qinglong Tian , Pengfei Li

We introduce an algorithm to locate contours of functions that are expensive to evaluate. The problem of locating contours arises in many applications, including classification, constrained optimization, and performance analysis of…

Machine Learning · Statistics 2018-12-20 Alexandre N. Marques , Remi R. Lam , Karen E. Willcox

In this article, we discuss the optimal allocation problem in an experiment when a regression model is used for statistical analysis. Monotonic convergence for a general class of multiplicative algorithms for $D$-optimality has been…

Computation · Statistics 2013-10-28 Wei Gao , Ping Shing Chan , Hon Keung Tony Ng , Xiaolei Lu

In this paper, we consider the minimum submodular cost allocation (MSCA) problem. The input of MSCA is $k$ non-negative submodular functions $f_1,f_2,\ldots,f_k$ on the ground set $N$ given by evaluation oracles, and the goal is to…

Data Structures and Algorithms · Computer Science 2026-02-03 Ryuhei Mizutani

In many applications, the training data, from which one needs to learn a classifier, is corrupted with label noise. Many standard algorithms such as SVM perform poorly in presence of label noise. In this paper we investigate the robustness…

Machine Learning · Computer Science 2015-09-11 Aritra Ghosh , Naresh Manwani , P. S. Sastry

This paper develops novel conformal prediction methods for classification tasks that can automatically adapt to random label contamination in the calibration sample, leading to more informative prediction sets with stronger coverage…

Methodology · Statistics 2024-02-23 Matteo Sesia , Y. X. Rachel Wang , Xin Tong