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We introduce a tree-based formulation for the minimum-cost multi-commodity flow problem that addresses large-scale instances. The method decomposes the source-based model by representing flows as convex combinations of trees rooted at…

Optimization and Control · Mathematics 2025-10-03 Simon Spoorendonk , Bjørn Petersen

We propose a novel approach for studying rooted trees by using functions that we will call descent functions. We provide a construction method for rooted trees that allows to study their properties through the use of descent functions.…

Number Theory · Mathematics 2014-09-23 Marco Abrate , Stefano Barbero , Umberto Cerruti , Nadir Murru

A major component for developing intelligent and autonomous robots is a suitable knowledge representation, from which a robot can acquire knowledge about its actions or world. However, unlike humans, robots cannot creatively adapt to novel…

Robotics · Computer Science 2021-12-07 Md. Sadman Sakib , David Paulius , Yu Sun

Extracting causal relationships from a medical case report is essential for comprehending the case, particularly its diagnostic process. Since the diagnostic process is regarded as a bottom-up inference, causal relationships in cases…

Computation and Language · Computer Science 2025-03-04 Sakiko Yahata , Zhen Wan , Fei Cheng , Sadao Kurohashi , Hisahiko Sato , Ryozo Nagai

A tree decomposition of a graph facilitates computations by grouping vertices into bags that are interconnected in an acyclic structure, hence their importance in a plethora of problems such as query evaluation over databases and inference…

Data Structures and Algorithms · Computer Science 2018-10-09 Noam Ravid , Dori Medini , Benny Kimelfeld

Tensors are a natural way to express correlations among many physical variables, but storing tensors in a computer naively requires memory which scales exponentially in the rank of the tensor. This is not optimal, as the required memory is…

Computational Physics · Physics 2018-12-03 Adam S. Jermyn

This paper describes a generalization of previous methods for constructing tree-structured belief network with hidden variables. The major new feature of the described method is the ability to produce a tree decomposition even when there…

Artificial Intelligence · Computer Science 2013-04-05 L. Liu , Y. Ma , D. Wilkins , Z. Bian , X. Ying

Fruit tree image segmentation is an essential problem in automating a variety of agricultural tasks such as phenotyping, harvesting, spraying, and pruning. Many research papers have proposed a diverse spectrum of solutions suitable to…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Il-Seok Oh

This methodological review examines the use of the causal forest method by applied researchers across 133 peer-reviewed papers. It shows that the emerging best practice relies heavily on the approach and tools created by the original…

Econometrics · Economics 2024-12-24 Patrick Rehill

The problem of selecting a small, yet high quality subset of patterns from a larger collection of itemsets has recently attracted lot of research. Here we discuss an approach to this problem using the notion of decomposable families of…

Machine Learning · Computer Science 2020-06-18 Nikolaj Tatti , Hannes Heikinheimo

Counterfactual reasoning has emerged as a crucial technique for generalizing the reasoning capabilities of large language models (LLMs). By generating and analyzing counterfactual scenarios, researchers can assess the adaptability and…

Artificial Intelligence · Computer Science 2026-02-17 Shuai Yang , Qi Yang , Luoxi Tang , Yuqiao Meng , Nancy Guo , Jeremy Blackburn , Zhaohan Xi

A new method for the identification of differential item functioning (DIF) by using recursive partitioning techniques is proposed. We assume an extension of the Rasch model that allows for DIF being induced by an arbitrary number of…

Methodology · Statistics 2015-02-17 Gerhard Tutz , Moritz Berger

Dynamic programming on tree decompositions is a frequently used approach to solve otherwise intractable problems on instances of small treewidth. In recent work by Bodlaender et al., it was shown that for many connectivity problems, there…

Data Structures and Algorithms · Computer Science 2013-06-03 Stefan Fafianie , Hans L. Bodlaender , Jesper Nederlof

Many common sequential data sources, such as source code and natural language, have a natural tree-structured representation. These trees can be generated by fitting a sequence to a grammar, yielding a hierarchical ordering of the tokens in…

Machine Learning · Computer Science 2019-08-02 Jacob Harer , Chris Reale , Peter Chin

This paper describes the development of a causal diagnosis approach for troubleshooting an industrial environment on the basis of the technical language expressed in Return on Experience records. The proposed method leverages the vectorized…

Artificial Intelligence · Computer Science 2024-07-31 Alexandre Trilla , Ossee Yiboe , Nenad Mijatovic , Jordi Vitrià

People often plan hierarchically. That is, rather than planning over a monolithic representation of a task, they decompose the task into simpler subtasks and then plan to accomplish those. Although much work explores how people decompose…

Artificial Intelligence · Computer Science 2020-07-29 Carlos G. Correa , Mark K. Ho , Fred Callaway , Thomas L. Griffiths

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

Causal discovery aims to recover ``what causes what'', but classical constraint-based methods (e.g., PC, FCI) suffer from error propagation, and recent LLM-based causal oracles often behave as opaque, confidence-free black boxes. This paper…

Machine Learning · Computer Science 2026-01-16 Ziyi Ding , Chenfei Ye-Hao , Zheyuan Wang , Xiao-Ping Zhang

Feature selection is a crucial preprocessing step in data analytics and machine learning. Classical feature selection algorithms select features based on the correlations between predictive features and the class variable and do not attempt…

Machine Learning · Computer Science 2019-11-19 Kui Yu , Xianjie Guo , Lin Liu , Jiuyong Li , Hao Wang , Zhaolong Ling , Xindong Wu

Real-world observational datasets and machine learning have revolutionized data-driven decision-making, yet many models rely on empirical associations that may be misleading due to confounding and subgroup heterogeneity. Simpson's paradox…

Machine Learning · Computer Science 2026-03-03 Xian Teng , Yu-Ru Lin