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We study inferring a tree-structured representation from a single image for object shading. Prior work typically uses the parametric or measured representation to model shading, which is neither interpretable nor easily editable. We propose…

Computer Vision and Pattern Recognition · Computer Science 2023-09-14 Chen Geng , Hong-Xing Yu , Sharon Zhang , Maneesh Agrawala , Jiajun Wu

The concept of decomposition in computer science and engineering is considered a fundamental component of computational thinking and is prevalent in design of algorithms, software construction, hardware design, and more. We propose a simple…

Logic in Computer Science · Computer Science 2023-06-22 Dror Fried , Axel Legay , Joël Ouaknine , Moshe Y. Vardi

Lifting attempts to speed up probabilistic inference by exploiting symmetries in the model. Exact lifted inference methods, like their propositional counterparts, work by recursively decomposing the model and the problem. In the…

Artificial Intelligence · Computer Science 2013-06-05 Nima Taghipour , Jesse Davis , Hendrik Blockeel

This paper presents a precursory yet novel approach to the question answering task using structural decomposition. Our system first generates linguistic structures such as syntactic and semantic trees from text, decomposes them into…

Computation and Language · Computer Science 2016-04-05 Tomasz Jurczyk , Jinho D. Choi

One major deficiency of most semantic representation techniques is that they usually model a word type as a single point in the semantic space, hence conflating all the meanings that the word can have. Addressing this issue by learning…

Computation and Language · Computer Science 2016-08-08 Mohammad Taher Pilehvar , Nigel Collier

We study tree-to-tree transformations that can be defined in first-order logic or monadic second-order logic. We prove a decomposition theorem, which shows that every transformation can be obtained from prime transformations, such as…

Formal Languages and Automata Theory · Computer Science 2023-01-31 Mikołaj Bojańczyk , Amina Doumane

Machine learning methods for estimating treatment effect heterogeneity promise greater flexibility than existing methods that test a few pre-specified hypotheses. However, one problem these methods can have is that it can be challenging to…

Econometrics · Economics 2024-08-05 Patrick Rehill

In product design, a decomposition of the overall product function into a set of smaller, interacting functions is usually considered a crucial first step for any computer-supported design tool. Here, we propose a new approach for the…

Artificial Intelligence · Computer Science 2023-02-10 Philipp Rosenthal , Niels Demke , Frank Mantwill , Oliver Niggemann

Parameterized complexity theory has lead to a wide range of algorithmic breakthroughs within the last decades, but the practicability of these methods for real-world problems is still not well understood. We investigate the practicability…

Data Structures and Algorithms · Computer Science 2018-06-28 Max Bannach , Sebastian Berndt

We formalize an existing computability-theoretic method of presenting first-order structures whose domains have the cardinality of the continuum. Work using these methods until now has emphasized their topological properties. We shift the…

Logic · Mathematics 2025-11-07 Jason Block , Russell Miller

With the rapid growth of knowledge, it shows a steady trend of knowledge fragmentization. Knowledge fragmentization manifests as that the knowledge related to a specific topic in a course is scattered in isolated and autonomous knowledge…

Artificial Intelligence · Computer Science 2020-05-29 Qinghua Zheng , Jun Liu , Hongwei Zeng , Zhaotong Guo , Bei Wu , Bifan Wei

A creative idea is often born from transforming, combining, and modifying ideas from existing visual examples capturing various concepts. However, one cannot simply copy the concept as a whole, and inspiration is achieved by examining…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Yael Vinker , Andrey Voynov , Daniel Cohen-Or , Ariel Shamir

Decompositions of networks are useful not only for structural exploration. They also have implications and use in analysis and computational solution of processes (such as the Ising model, percolation, SIR model) running on a given network.…

Disordered Systems and Neural Networks · Physics 2020-04-29 Konstantin Klemm

Uplift modeling is crucial in various applications ranging from marketing and policy-making to personalized recommendations. The main objective is to learn optimal treatment allocations for a heterogeneous population. A primary line of…

Methodology · Statistics 2023-12-20 Preetam Nandy , Xiufan Yu , Wanjun Liu , Ye Tu , Kinjal Basu , Shaunak Chatterjee

Causal inference is essential for data-driven decision-making, as it aims to uncover causal relationships from observational data. However, identifying causality remains challenging due to the potential for confounding and the distinction…

Machine Learning · Statistics 2026-05-08 Tianyu Yang , Md. Noor-E-Alam

Program comprehension is a fundamental task in software development and maintenance processes. Software developers often need to understand a large amount of existing code before they can develop new features or fix bugs in existing…

Machine Learning · Computer Science 2019-10-29 Vinoj Jayasundara , Nghi Duy Quoc Bui , Lingxiao Jiang , David Lo

The output of a machine learning algorithm can usually be represented by one or more multivariate functions of its input variables. Knowing the global properties of such functions can help in understanding the system that produced the data…

Machine Learning · Statistics 2024-03-21 Jerome H. Friedman

Datalog reasoning based on the semina\"ive evaluation strategy evaluates rules using traditional join plans, which often leads to redundancy and inefficiency in practice, especially when the rules are complex. Hypertree decompositions help…

Databases · Computer Science 2023-05-16 Xinyue Zhang , Pan Hu , Yavor Nenov , Ian Horrocks

One of the most appreciated features of Fault Trees (FTs) is their simplicity, making them fit into industrial processes. As such processes evolve in time, considering new aspects of large modern systems, modelling techniques based on FTs…

Machine Learning · Computer Science 2024-03-21 Roberta De Fazio , Stefano Marrone , Laura Verde , Vincenzo Reccia , Paolo Valletta

Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

Methodology · Statistics 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson
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