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We present a method for incorporating missing data in non-parametric statistical learning without the need for imputation. We focus on a tree-based method, Bayesian Additive Regression Trees (BART), enhanced with "Missingness Incorporated…

Machine Learning · Statistics 2014-02-14 Adam Kapelner , Justin Bleich

The acyclic multistate information network (AMIN), which is a kind of MIN that does not require the conservation law of flow, plays an important role nowadays because many modern network structures present AMIN as the construction such as…

Networking and Internet Architecture · Computer Science 2020-12-01 Wei-Chang Yeh

We introduce and investigate the approximability of the maximum binary tree problem (MBT) in directed and undirected graphs. The goal in MBT is to find a maximum-sized binary tree in a given graph. MBT is a natural variant of the…

Discrete Mathematics · Computer Science 2020-07-24 Karthekeyan Chandrasekaran , Elena Grigorescu , Gabriel Istrate , Shubhang Kulkarni , Young-San Lin , Minshen Zhu

In recent years, theoretical results and simulation evidence have shown Bayesian additive regression trees to be a highly-effective method for nonparametric regression. Motivated by cost-effectiveness analyses in health economics, where…

This paper presents new results for the (partial) maximum a posteriori (MAP) problem in Bayesian networks, which is the problem of querying the most probable state configuration of some of the network variables given evidence. First, it is…

Artificial Intelligence · Computer Science 2010-07-30 Cassio P. de Campos

In this paper we develop the randomized Sharded Bayesian Additive Regression Trees (SBT) model. We introduce a randomization auxiliary variable and a sharding tree to decide partitioning of data, and fit each partition component to a…

Machine Learning · Statistics 2023-06-02 Hengrui Luo , Matthew T. Pratola

Dual-tree algorithms are a widely used class of branch-and-bound algorithms. Unfortunately, developing dual-tree algorithms for use with different trees and problems is often complex and burdensome. We introduce a four-part logical split:…

Data Structures and Algorithms · Computer Science 2013-04-17 Ryan R. Curtin , William B. March , Parikshit Ram , David V. Anderson , Alexander G. Gray , Charles L. Isbell

The Binary Search Tree (BST) is average in computer science which supports a compact data structure in memory and oneself even conducts a row of quick algorithms, by which people often apply it in dynamical circumstance. Besides these…

Data Structures and Algorithms · Computer Science 2018-10-05 Yong Tan

The series-parallel (active) redundancy allocation problem with mixed components (RAP) involves setting reliable objectives for components or subsystems to meet the resource consumption constraint, e.g., the total cost. RAP has been an…

Discrete Mathematics · Computer Science 2022-04-12 Wei-Chang Yeh

We study budget constrained network upgradeable problems. We are given an undirected edge weighted graph $G=(V,E)$ where the weight an edge $e \in E$ can be upgraded for a cost $c(e)$. Given a budget $B$ for improvement, the goal is to find…

Data Structures and Algorithms · Computer Science 2014-12-12 Debjyoti Saharoy , Sandeep Sen

Various networks such as cloud computing, water/gas/electricity networks, wireless sensor networks, transportation networks, and 4G/5G networks, have become an integral part of our daily lives. A binary-state network (BN) is often used to…

Discrete Mathematics · Computer Science 2021-08-03 Wei-Chang Yeh

This paper proposes a novel binarized weight network (BT) for a resource-efficient neural structure. The proposed model estimates a binary representation of weights by taking into account the approximation error with an additional term.…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Savas Ozkan , Gozde Bozdagi Akar

This paper develops a novel stochastic tree ensemble method for nonlinear regression, which we refer to as XBART, short for Accelerated Bayesian Additive Regression Trees. By combining regularization and stochastic search strategies from…

Machine Learning · Statistics 2021-06-04 Jingyu He , P. Richard Hahn

Bayesian Additive Regression Trees (BART) is a Bayesian approach to flexible non-linear regression which has been shown to be competitive with the best modern predictive methods such as those based on bagging and boosting. BART offers some…

Bayesian Additive Regression Trees (BART) is a powerful statistical model that leverages the strengths of Bayesian inference and regression trees. It has received significant attention for capturing complex non-linear relationships and…

Machine Learning · Statistics 2026-04-01 Seokhun Park , Insung Kong , Yongdai Kim

Between the leaves and the nodes of a complete binary tree, a separate parent-child-sister hierarchy is employed independent of the parent-child-sister hierarchy used for the rest of the tree. Two different versions of such a local…

Data Structures and Algorithms · Computer Science 2014-01-31 Mevlut Bulut

We apply Bayesian Additive Regression Tree (BART) principles to training an ensemble of small neural networks for regression tasks. Using Markov Chain Monte Carlo, we sample from the posterior distribution of neural networks that have a…

Machine Learning · Statistics 2024-04-09 Danielle Van Boxel

We consider the task of discovering gene regulatory networks, which are defined as sets of genes and the corresponding transcription factors which regulate their expression levels. This can be viewed as a variable selection problem,…

Methodology · Statistics 2014-12-04 Justin Bleich , Adam Kapelner , Edward I. George , Shane T. Jensen

This paper proposes earliest and latest path algorithms based on binary weight allocation, assigning weights of 2(i-1) and 2(m-i) to the i-th arc in a network. While traditional shortest path algorithms optimize only distance, our approach…

Combinatorics · Mathematics 2025-04-08 Wei-Chang Yeh

Recent advancements in bidirectional heuristic search have yielded significant theoretical insights and novel algorithms. While most previous work has concentrated on optimal search methods, this paper focuses on bounded-suboptimal…

Artificial Intelligence · Computer Science 2025-11-14 Shahaf S. Shperberg , Natalie Morad , Lior Siag , Ariel Felner , Dor Atzmon