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We propose a new yet natural algorithm for learning the graph structure of general discrete graphical models (a.k.a. Markov random fields) from samples. Our algorithm finds the neighborhood of a node by sequentially adding nodes that…

Machine Learning · Statistics 2012-02-09 Praneeth Netrapalli , Siddhartha Banerjee , Sujay Sanghavi , Sanjay Shakkottai

Identifying breakpoints in piecewise regression is critical in enhancing the reliability and interpretability of data fitting. In this paper, we propose novel algorithms based on the greedy algorithm to accurately and efficiently identify…

Machine Learning · Statistics 2026-04-14 Taehyeong Kim , Hyungu Lee , Myungjin Kim , Hayoung Choi

Given an imperfect predictor, we exploit additional features at test time to improve the predictions made, without retraining and without knowledge of the prediction function. This scenario arises if training labels or data are proprietary,…

Machine Learning · Computer Science 2021-11-05 Kwang In Kim , James Tompkin

We derive an objective function that can be optimized to give an estimator of the Vapnik- Chervonenkis dimension for model selection in regression problems. We verify our estimator is consistent. Then, we verify it performs well compared to…

Statistics Theory · Mathematics 2018-08-17 Merlin Mpoudeu , Bertrand Clarke

The frame algorithm uses a simple recursive formula to approximate an unknown vector from its frame coefficients. This note introduces an adaptive version of the frame algorithm that maximizes the error reduction between steps in terms of…

Functional Analysis · Mathematics 2025-06-24 Brody Dylan Johnson

Strategic classification studies learning settings in which individuals can modify their features, at a cost, in order to influence the classifier's decision. A central question is how the sample complexity of the induced (strategic)…

Machine Learning · Computer Science 2026-05-15 Yuval Filmus , Shay Moran , Elizaveta Nesterova , Nir Rosenfeld , Alexander Shlimovich

Feature selection is crucial for pinpointing relevant features in high-dimensional datasets, mitigating the 'curse of dimensionality,' and enhancing machine learning performance. Traditional feature selection methods for classification use…

Machine Learning · Computer Science 2025-04-08 Rittwika Kansabanik , Adrian Barbu

Unsupervised feature selection is an important method to reduce dimensions of high dimensional data without labels, which is benefit to avoid ``curse of dimensionality'' and improve the performance of subsequent machine learning tasks, like…

Machine Learning · Computer Science 2020-12-29 Yanyong Huang , Zongxin Shen , Fuxu Cai , Tianrui Li , Fengmao Lv

Machine learning models usually assume that a set of feature values used to obtain an output is fixed in advance. However, in many real-world problems, a cost is associated with measuring these features. To address the issue of reducing…

Machine Learning · Computer Science 2025-03-13 Katsumi Takahashi , Koh Takeuchi , Hisashi Kashima

We consider interactive learning and covering problems, in a setting where actions may incur different costs, depending on the response to the action. We propose a natural greedy algorithm for response-dependent costs. We bound the…

Machine Learning · Computer Science 2018-11-21 Sivan Sabato

In many real-world scenarios where data is high dimensional, test time acquisition of features is a non-trivial task due to costs associated with feature acquisition and evaluating feature value. The need for highly confident models with an…

Machine Learning · Computer Science 2019-09-17 Orpaz Goldstein , Mohammad Kachuee , Kimmo Karkkainen , Majid Sarrafzadeh

When users stand to gain from certain predictions, they are prone to act strategically to obtain favorable predictive outcomes. Whereas most works on strategic classification consider user actions that manifest as feature modifications, we…

Machine Learning · Computer Science 2024-06-25 Guy Horowitz , Yonatan Sommer , Moran Koren , Nir Rosenfeld

The proposed feature selection method builds a histogram of the most stable features from random subsets of a training set and ranks the features based on a classifier based cross-validation. This approach reduces the instability of…

Artificial Intelligence · Computer Science 2012-02-07 Alex Pappachen James , Akshay Maan

In many machine learning tasks, input features with varying degrees of predictive capability are acquired at varying costs. In order to optimize the performance-cost trade-off, one would select features to observe a priori. However, given…

Machine Learning · Computer Science 2022-04-04 Randy Ardywibowo , Shahin Boluki , Zhangyang Wang , Bobak Mortazavi , Shuai Huang , Xiaoning Qian

From a machine learning point of view, identifying a subset of relevant features from a real data set can be useful to improve the results achieved by classification methods and to reduce their time and space complexity. To achieve this…

Machine Learning · Computer Science 2017-05-23 Pietro Cassara , Alessandro Rozza , Mirco Nanni

Generative models for classification use the joint probability distribution of the class variable and the features to construct a decision rule. Among generative models, Bayesian networks and naive Bayes classifiers are the most commonly…

Artificial Intelligence · Computer Science 2022-08-05 Federico Carli , Manuele Leonelli , Gherardo Varando

Optimal selection of a subset of items from a given set is a hard problem that requires combinatorial optimization. In this paper, we propose a subset selection algorithm that is trainable with gradient-based methods yet achieves…

Machine Learning · Computer Science 2018-10-31 Thomas Powers , Rasool Fakoor , Siamak Shakeri , Abhinav Sethy , Amanjit Kainth , Abdel-rahman Mohamed , Ruhi Sarikaya

Feature Learning aims to extract relevant information contained in data sets in an automated fashion. It is driving force behind the current deep learning trend, a set of methods that have had widespread empirical success. What is lacking…

Machine Learning · Statistics 2015-04-02 Brendan van Rooyen , Robert C. Williamson

The reliable fraction of information is an attractive score for quantifying (functional) dependencies in high-dimensional data. In this paper, we systematically explore the algorithmic implications of using this measure for optimization. We…

Artificial Intelligence · Computer Science 2018-09-17 Panagiotis Mandros , Mario Boley , Jilles Vreeken

Greedy algorithms have long been a workhorse for learning graphical models, and more broadly for learning statistical models with sparse structure. In the context of learning directed acyclic graphs, greedy algorithms are popular despite…

Machine Learning · Computer Science 2021-11-01 Goutham Rajendran , Bohdan Kivva , Ming Gao , Bryon Aragam
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