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Regression models for supervised learning problems with a continuous target are commonly understood as models for the conditional mean of the target given predictors. This notion is simple and therefore appealing for interpretation and…

Methodology · Statistics 2018-01-09 Torsten Hothorn , Achim Zeileis

Based on decision trees, many fields have arguably made tremendous progress in recent years. In simple words, decision trees use the strategy of "divide-and-conquer" to divide the complex problem on the dependency between input features and…

Machine Learning · Computer Science 2021-01-22 Jinxiong Zhang

Random forests are a machine learning method used to automatically classify datasets and consist of a multitude of decision trees. While these random forests often have higher performance and generalize better than a single decision tree,…

Machine Learning · Computer Science 2025-07-31 Max Sondag , Christofer Meinecke , Dennis Collaris , Tatiana von Landesberger , Stef van den Elzen

Multivariate functions emerge naturally in a wide variety of data-driven models. Popular choices are expressions in the form of basis expansions or neural networks. While highly effective, the resulting functions tend to be hard to…

Machine Learning · Statistics 2022-06-15 Jan Decuyper , Koen Tiels , Siep Weiland , Mark C. Runacres , Johan Schoukens

We consider a multitask learning problem, in which several predictors are learned jointly. Prior research has shown that learning the relations between tasks, and between the input features, together with the predictor, can lead to better…

Machine Learning · Computer Science 2019-07-11 Han Zhao , Otilia Stretcu , Alex Smola , Geoff Gordon

Our goal is to provide a review of deep learning methods which provide insight into structured high-dimensional data. Rather than using shallow additive architectures common to most statistical models, deep learning uses layers of…

Machine Learning · Statistics 2023-10-11 Nick Polson , Vadim Sokolov

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

As interdisciplinary science is flourishing because of materials informatics and additional factors; a systematic way is required for expressing knowledge and facilitating communication between scientists in various fields. A function…

Artificial Intelligence · Computer Science 2022-05-03 Hiori Kino , Hieu-Chi Dam , Takashi Miyake , Riichiro Mizoguchi

Machine learning algorithms aim at minimizing the number of false decisions and increasing the accuracy of predictions. However, the high predictive power of advanced algorithms comes at the costs of transparency. State-of-the-art methods,…

Machine Learning · Computer Science 2019-08-30 Klaus Broelemann , Gjergji Kasneci

This paper presents Mixed Formal Learning, a new architecture that learns models based on formal mathematical representations of the domain of interest and exposes latent variables. The second element in the architecture learns a particular…

Artificial Intelligence · Computer Science 2019-01-23 Sandra Carrico

Artificial Neural Networks form the basis of very powerful learning methods. It has been observed that a naive application of fully connected neural networks to data with many irrelevant variables often leads to overfitting. In an attempt…

Machine Learning · Computer Science 2020-02-12 Gitesh Dawer , Yangzi Guo , Sida Liu , Adrian Barbu

High-dimensional policies, such as those represented by neural networks, cannot be reasonably interpreted by humans. This lack of interpretability reduces the trust users have in policy behavior, limiting their use to low-impact tasks such…

Machine Learning · Computer Science 2021-09-20 John Mern , Sidhart Krishnan , Anil Yildiz , Kyle Hatch , Mykel J. Kochenderfer

Domestic and service robots have the potential to transform industries such as health care and small-scale manufacturing, as well as the homes in which we live. However, due to the overwhelming variety of tasks these robots will be expected…

Robotics · Computer Science 2021-06-04 Gavin Suddrey , Ben Talbot , Frederic Maire

Despite outperforming the human in many tasks, deep neural network models are also criticized for the lack of transparency and interpretability in decision making. The opaqueness results in uncertainty and low confidence when deploying such…

Machine Learning · Computer Science 2017-09-14 Huijun Wu , Chen Wang , Jie Yin , Kai Lu , Liming Zhu

Real-world relations among entities can often be observed and determined by different perspectives/views. For example, the decision made by a user on whether to adopt an item relies on multiple aspects such as the contextual information of…

Machine Learning · Computer Science 2018-02-16 Chun-Ta Lu , Lifang He , Hao Ding , Bokai Cao , Philip S. Yu

We propose to interpret machine learning functions as physical observables, opening up the possibility to apply "standard" statistical-mechanical methods to outputs from neural networks. This includes histogram reweighting and finite-size…

High Energy Physics - Lattice · Physics 2021-09-20 Gert Aarts , Dimitrios Bachtis , Biagio Lucini

This paper proposes FREEtree, a tree-based method for high dimensional longitudinal data with correlated features. Popular machine learning approaches, like Random Forests, commonly used for variable selection do not perform well when there…

Machine Learning · Statistics 2020-06-18 Yuancheng Xu , Athanasse Zafirov , R. Michael Alvarez , Dan Kojis , Min Tan , Christina M. Ramirez

Many existing interpretation methods are based on Partial Dependence (PD) functions that, for a pre-trained machine learning model, capture how a subset of the features affects the predictions by averaging over the remaining features.…

Machine Learning · Computer Science 2025-06-05 Jinyang Liu , Tessa Steensgaard , Marvin N. Wright , Niklas Pfister , Munir Hiabu

Classification of datasets into two or more distinct classes is an important machine learning task. Many methods are able to classify binary classification tasks with a very high accuracy on test data, but cannot provide any easily…

Machine Learning · Computer Science 2020-08-26 Yashesh Dhebar , Sparsh Gupta , Kalyanmoy Deb

We use machine learning to classify examples of braids (or flat braids) as trivial or non-trivial. Our ML takes form of supervised learning using neural networks (multilayer perceptrons). When they achieve good results in classification, we…

Geometric Topology · Mathematics 2023-07-25 Alexei Lisitsa , Mateo Salles , Alexei Vernitski
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