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Optimal decision tree (\odt) is a fundamental problem arising in applications such as active learning, entity identification, and medical diagnosis. An instance of \odt is given by $m$ hypotheses, out of which an unknown ``true'' hypothesis…

Data Structures and Algorithms · Computer Science 2025-05-22 Zhengjia Zhuo , Viswanath Nagarajan

In this paper we propose a novel methodology to construct Optimal Classification Trees that takes into account that noisy labels may occur in the training sample. Our approach rests on two main elements: (1) the splitting rules for the…

Machine Learning · Computer Science 2020-12-17 Víctor Blanco , Alberto Japón , Justo Puerto

Recently there has been a surge of interest in optimal decision tree (ODT) methods that globally optimize accuracy directly, in contrast to traditional approaches that locally optimize an impurity or information metric. However, the value…

Machine Learning · Computer Science 2025-04-02 Jacobus G. M. van der Linden , Daniël Vos , Mathijs M. de Weerdt , Sicco Verwer , Emir Demirović

We give a quasipolynomial-time algorithm for learning stochastic decision trees that is optimally resilient to adversarial noise. Given an $\eta$-corrupted set of uniform random samples labeled by a size-$s$ stochastic decision tree, our…

Machine Learning · Computer Science 2021-05-11 Guy Blanc , Jane Lange , Li-Yang Tan

Clinical decision requires reasoning in the presence of imperfect data. DTs are a well-known decision support tool, owing to their interpretability, fundamental in safety-critical contexts such as medical diagnosis. However, learning DTs…

We consider the problem of detecting a small subset of defective items from a large set via non-adaptive "random pooling" group tests. We consider both the case when the measurements are noiseless, and the case when the measurements are…

Information Theory · Computer Science 2011-07-25 Chun Lam Chan , Pak Hou Che , Sidharth Jaggi , Venkatesh Saligrama

For classification tasks, deep neural networks are prone to overfitting in the presence of label noise. Although existing methods are able to alleviate this problem at low noise levels, they encounter significant performance reduction at…

Machine Learning · Computer Science 2021-05-31 Jingyi Xu , Tony Q. S. Quek , Kai Fong Ernest Chong

Label tree-based algorithms are widely used to tackle multi-class and multi-label problems with a large number of labels. We focus on a particular subclass of these algorithms that use probabilistic classifiers in the tree nodes. Examples…

Meta-learning methods typically learn tasks under the assumption that all tasks are equally important. However, this assumption is often not valid. In real-world applications, tasks can vary both in their importance during different…

Machine Learning · Computer Science 2024-05-14 Donglin Zhan , James Anderson

Adversarial training is an important topic in robust deep learning, but the community lacks attention to its practical usage. In this paper, we aim to resolve a real-world challenge, i.e., training a model on an imbalanced and noisy dataset…

Machine Learning · Computer Science 2023-12-05 Guanlin Li , Kangjie Chen , Yuan Xu , Han Qiu , Tianwei Zhang

How to obtain a model with good interpretability and performance has always been an important research topic. In this paper, we propose rectified decision trees (ReDT), a knowledge distillation based decision trees rectification with high…

Machine Learning · Computer Science 2020-08-25 Jiawang Bai , Yiming Li , Jiawei Li , Yong Jiang , Shutao Xia

We construct algorithms with optimal error for learning with adversarial noise. The overarching theme of this work is that the use of \textsl{randomized} hypotheses can substantially improve upon the best error rates achievable with…

Data Structures and Algorithms · Computer Science 2026-04-06 Guy Blanc

Decision trees are a popular choice of explainable model, but just like neural networks, they suffer from adversarial examples. Existing algorithms for fitting decision trees robust against adversarial examples are greedy heuristics and…

Machine Learning · Computer Science 2021-09-10 Daniël Vos , Sicco Verwer

Numerous researches have proved that deep neural networks (DNNs) can fit everything in the end even given data with noisy labels, and result in poor generalization performance. However, recent studies suggest that DNNs tend to gradually…

Machine Learning · Computer Science 2021-04-07 Hao Yang , Youzhi Jin , Ziyin Li , Deng-Bao Wang , Lei Miao , Xin Geng , Min-Ling Zhang

In many applications, data is easy to acquire but expensive and time-consuming to label prominent examples include medical imaging and NLP. This disparity has only grown in recent years as our ability to collect data improves. Under these…

Machine Learning · Computer Science 2021-04-07 Jaya Krishna Mandivarapu , Blake Camp , Rolando Estrada

Pattern discovery in data plays a crucial role across diverse domains, including healthcare, risk assessment, and machinery maintenance. In contrast to black-box deep learning models, symbolic rule discovery emerges as a key data mining…

Machine Learning · Computer Science 2026-05-15 Young-Chae Hong , Yangho Chen

Label noise, which refers to the mislabeling of instances in a dataset, can significantly impair classifier performance, increase model complexity, and affect feature selection. While most research has concentrated on deep neural networks…

Machine Learning · Computer Science 2025-01-07 Anita Eisenbürger , Daniel Otten , Anselm Hudde , Frank Hopfgartner

Learning with noisy labels is a practically challenging problem in weakly supervised learning. In the existing literature, open-set noises are always considered to be poisonous for generalization, similar to closed-set noises. In this…

Machine Learning · Computer Science 2021-11-22 Hongxin Wei , Lue Tao , Renchunzi Xie , Bo An

Learning and decision-making in domains with naturally high noise-to-signal ratio, such as Finance or Healthcare, is often challenging, while the stakes are very high. In this paper, we study the problem of learning and acting under a…

Machine Learning · Computer Science 2023-09-26 Yikai Zhang , Songzhu Zheng , Mina Dalirrooyfard , Pengxiang Wu , Anderson Schneider , Anant Raj , Yuriy Nevmyvaka , Chao Chen

Real world datasets contain incorrectly labeled instances that hamper the performance of the model and, in particular, the ability to generalize out of distribution. Also, each example might have different contribution towards learning.…

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