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We extend the Chow-Liu algorithm for general random variables while the previous versions only considered finite cases. In particular, this paper applies the generalization to Suzuki's learning algorithm that generates from data forests…

Information Theory · Computer Science 2010-02-12 Joe Suzuki

We investigate the problem of learning Bayesian networks in a robust model where an $\epsilon$-fraction of the samples are adversarially corrupted. In this work, we study the fully observable discrete case where the structure of the network…

Data Structures and Algorithms · Computer Science 2018-10-30 Yu Cheng , Ilias Diakonikolas , Daniel Kane , Alistair Stewart

Tree-structured neural networks encode a particular tree geometry for a sentence in the network design. However, these models have at best only slightly outperformed simpler sequence-based models. We hypothesize that neural sequence models…

Computation and Language · Computer Science 2015-11-10 Samuel R. Bowman , Christopher D. Manning , Christopher Potts

Decision trees are a popular family of models due to their attractive properties such as interpretability and ability to handle heterogeneous data. Concurrently, missing data is a prevalent occurrence that hinders performance of machine…

Machine Learning · Computer Science 2020-07-01 Pasha Khosravi , Antonio Vergari , YooJung Choi , Yitao Liang , Guy Van den Broeck

Tree ensembles are very popular machine learning models, known for their effectiveness in supervised classification and regression tasks. Their performance derives from aggregating predictions of multiple decision trees, which are renowned…

Optimization and Control · Mathematics 2025-01-14 Lorenzo Bonasera , Emilio Carrizosa

Robust learning methods aim to learn a clean target distribution from noisy and corrupted training data where a specific corruption pattern is often assumed a priori. Our proposed method can not only successfully learn the clean target…

Machine Learning · Computer Science 2023-02-08 Jeongeun Park , Seungyoun Shin , Sangheum Hwang , Sungjoon Choi

The use of machine learning algorithms in finance, medicine, and criminal justice can deeply impact human lives. As a consequence, research into interpretable machine learning has rapidly grown in an attempt to better control and fix…

Machine Learning · Computer Science 2021-02-02 Thibaut Vidal , Toni Pacheco , Maximilian Schiffer

We consider the problem of recovering the causal structure underlying observations from different experimental conditions when the targets of the interventions in each experiment are unknown. We assume a linear structural causal model with…

Methodology · Statistics 2025-03-13 Juan L. Gamella , Armeen Taeb , Christina Heinze-Deml , Peter Bühlmann

We study the problem of learning Bayesian networks where an $\epsilon$-fraction of the samples are adversarially corrupted. We focus on the fully-observable case where the underlying graph structure is known. In this work, we present the…

Machine Learning · Computer Science 2021-05-13 Yu Cheng , Honghao Lin

We consider recovering causal structure from multivariate observational data. We assume the data arise from a linear structural equation model (SEM) in which the idiosyncratic errors are allowed to be dependent in order to capture possible…

Methodology · Statistics 2021-11-11 Y. Samuel Wang , Mathias Drton

A substantial thread of recent work on latent tree learning has attempted to develop neural network models with parse-valued latent variables and train them on non-parsing tasks, in the hope of having them discover interpretable tree…

Computation and Language · Computer Science 2018-08-31 Phu Mon Htut , Kyunghyun Cho , Samuel R. Bowman

We consider structural equation models in which variables can be written as a function of their parents and noise terms, which are assumed to be jointly independent. Corresponding to each structural equation model, there is a directed…

Machine Learning · Statistics 2014-06-03 Jonas Peters , Peter Bühlmann

We develop a classification algorithm for estimating posterior distributions from positive-unlabeled data, that is robust to noise in the positive labels and effective for high-dimensional data. In recent years, several algorithms have been…

Machine Learning · Statistics 2017-02-02 Shantanu Jain , Martha White , Predrag Radivojac

We demonstrate the first algorithms for the problem of regression for generalized linear models (GLMs) in the presence of additive oblivious noise. We assume we have sample access to examples $(x, y)$ where $y$ is a noisy measurement of…

Data Structures and Algorithms · Computer Science 2023-09-29 Ilias Diakonikolas , Sushrut Karmalkar , Jongho Park , Christos Tzamos

We focus on generative AI for a type of data that still represent one of the most prevalent form of data: tabular data. Our paper introduces two key contributions: a new powerful class of forest-based models fit for such tasks and a simple…

Machine Learning · Computer Science 2024-11-15 Richard Nock , Mathieu Guillame-Bert

The perspective of developing trustworthy AI for critical applications in science and engineering requires machine learning techniques that are capable of estimating their own uncertainty. In the context of regression, instead of estimating…

Machine Learning · Computer Science 2026-05-14 Quentin Duchemin , Guillaume Obozinski

We consider training decision trees using noisily labeled data, focusing on loss functions that can lead to robust learning algorithms. Our contributions are threefold. First, we offer novel theoretical insights on the robustness of many…

Machine Learning · Computer Science 2024-01-24 Jonathan Wilton , Nan Ye

Trees are key components of the terrestrial biosphere, playing vital roles in ecosystem function, climate regulation, and the bioeconomy. However, large-scale monitoring of individual trees remains limited by inadequate modelling. Available…

Computer Vision and Pattern Recognition · Computer Science 2025-09-01 Dimitri Gominski , Martin Brandt , Xiaoye Tong , Siyu Liu , Maurice Mugabowindekwe , Sizhuo Li , Florian Reiner , Andrew Davies , Rasmus Fensholt

A novel correction algorithm is proposed for multi-class classification problems with corrupted training data. The algorithm is non-intrusive, in the sense that it post-processes a trained classification model by adding a correction…

Machine Learning · Computer Science 2020-02-13 Jun Hou , Tong Qin , Kailiang Wu , Dongbin Xiu

A Bayesian treatment of latent directed graph structure for non-iid data is provided where each child datum is sampled with a directed conditional dependence on a single unknown parent datum. The latent graph structure is assumed to lie in…

Machine Learning · Computer Science 2012-06-18 Tony S. Jebara