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We consider the problem of quantifying the quality of a model selection problem for a graphical model. We discuss this by formulating the problem as a detection problem. Model selection problems usually minimize a distance between the…

信息论 · 计算机科学 2017-10-19 Navid Tafaghodi Khajavi , Anthony Kuh

We consider the problem of learning an optimal prescriptive tree (i.e., an interpretable treatment assignment policy in the form of a binary tree) of moderate depth, from observational data. This problem arises in numerous socially…

机器学习 · 计算机科学 2023-07-25 Nathanael Jo , Sina Aghaei , Andrés Gómez , Phebe Vayanos

We study the compute-optimal trade-off between model and training data set sizes for large neural networks. Our result suggests a linear relation similar to that supported by the empirical analysis of chinchilla. While that work studies…

机器学习 · 计算机科学 2023-10-20 Hong Jun Jeon , Benjamin Van Roy

In recent years there has been a flurry of works on learning Bayesian networks from data. One of the hard problems in this area is how to effectively learn the structure of a belief network from incomplete data- that is, in the presence of…

机器学习 · 计算机科学 2013-02-01 Nir Friedman

Several algorithms build on the perfect phylogeny model to infer evolutionary trees. This problem is particularly hard when evolutionary trees are inferred from the fraction of genomes that have mutations in different positions, across…

数据结构与算法 · 计算机科学 2018-12-31 Bei Jia , Surjyendu Ray , Sam Safavi , José Bento

Learning a Bayesian networks with bounded treewidth is important for reducing the complexity of the inferences. We present a novel anytime algorithm (k-MAX) method for this task, which scales up to thousands of variables. Through extensive…

人工智能 · 计算机科学 2018-02-08 Mauro Scanagatta , Giorgio Corani , Marco Zaffalon , Jaemin Yoo , U Kang

Targeting in-memory one-dimensional search keys, we propose a novel DIstribution-driven Learned Index tree (DILI), where a concise and computation-efficient linear regression model is used for each node. An internal node's key range is…

数据库 · 计算机科学 2023-05-19 Pengfei Li , Hua Lu , Rong Zhu , Bolin Ding , Long Yang , Gang Pan

We consider the problem of PAC-learning decision trees, i.e., learning a decision tree over the n-dimensional hypercube from independent random labeled examples. Despite significant effort, no polynomial-time algorithm is known for learning…

机器学习 · 计算机科学 2008-12-05 Adam Tauman Kalai , Shang-Hua Teng

Survival analysis studies and predicts the time of death, or other singular unrepeated events, based on historical data, while the true time of death for some instances is unknown. Survival trees enable the discovery of complex nonlinear…

机器学习 · 计算机科学 2024-01-10 Tim Huisman , Jacobus G. M. van der Linden , Emir Demirović

We study the problem of learning Ising models satisfying Dobrushin's condition in the outlier-robust setting where a constant fraction of the samples are adversarially corrupted. Our main result is to provide the first computationally…

机器学习 · 计算机科学 2021-02-04 Ilias Diakonikolas , Daniel M. Kane , Alistair Stewart , Yuxin Sun

Bayesian networks are probabilistic graphical models often used in big data analytics. The problem of exact structure learning is to find a network structure that is optimal under certain scoring criteria. The problem is known to be NP-hard…

人工智能 · 计算机科学 2017-03-22 Subhadeep Karan , Jaroslaw Zola

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…

最优化与控制 · 数学 2025-01-14 Lorenzo Bonasera , Emilio Carrizosa

Learning a regression function using censored or interval-valued output data is an important problem in fields such as genomics and medicine. The goal is to learn a real-valued prediction function, and the training output labels indicate an…

机器学习 · 统计学 2017-10-30 Alexandre Drouin , Toby Dylan Hocking , François Laviolette

Structural information of phylogenetic tree topologies plays an important role in phylogenetic inference. However, finding appropriate topological structures for specific phylogenetic inference tasks often requires significant design effort…

机器学习 · 统计学 2023-02-20 Cheng Zhang

Tree-based models are increasingly popular due to their ability to identify complex relationships that are beyond the scope of parametric models. Survival tree methods adapt these models to allow for the analysis of censored outcomes, which…

机器学习 · 计算机科学 2020-12-09 Dimitris Bertsimas , Jack Dunn , Emma Gibson , Agni Orfanoudaki

We consider learning problems of an intuitive and concise preference model, called lexicographic preference lists (LP-lists). Given a set of examples that are pairwise ordinal preferences over a universe of objects built of attributes of…

人工智能 · 计算机科学 2019-09-20 Ahmed Moussa , Xudong Liu

Prediction suffix trees (PST) provide an effective tool for sequence modelling and prediction. Current prediction techniques for PSTs rely on exact matching between the suffix of the current sequence and the previously observed sequence. We…

机器学习 · 计算机科学 2018-08-08 Dongwoo Kim , Christian Walder

We consider the problem of learning the structure of undirected graphical models with bounded treewidth, within the maximum likelihood framework. This is an NP-hard problem and most approaches consider local search techniques. In this…

机器学习 · 计算机科学 2012-12-12 K. S. Sesh Kumar , Francis Bach

Harnessing the local topography of the loss landscape is a central challenge in advanced optimization tasks. By accounting for the effect of potential parameter changes, we can alter the model more efficiently. Contrary to standard…

机器学习 · 计算机科学 2024-11-27 Jed A. Duersch , Tommie A. Catanach , Alexander Safonov , Jeremy Wendt

Decision Trees (DTs) are commonly used for many machine learning tasks due to their high degree of interpretability. However, learning a DT from data is a difficult optimization problem, as it is non-convex and non-differentiable.…

机器学习 · 计算机科学 2024-08-20 Sascha Marton , Stefan Lüdtke , Christian Bartelt , Heiner Stuckenschmidt