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Using both observational and experimental data, a causal discovery process can identify the causal relationships between variables. A unique adaptive intervention design paradigm is presented in this work, where causal directed acyclic…

Machine Learning · Computer Science 2025-05-12 Abdelmonem Elrefaey , Rong Pan

There exist several methods of calculating a similarity curve, or a sequence of similarity values, representing the lexical cohesion of successive text constituents, e.g., paragraphs. Methods for deciding the locations of fragment…

Computation and Language · Computer Science 2007-05-23 Oskari Heinonen

Graph similarity computation aims to predict a similarity score between one pair of graphs to facilitate downstream applications, such as finding the most similar chemical compounds similar to a query compound or Fewshot 3D Action…

Machine Learning · Computer Science 2021-01-06 Haoyan Xu , Ziheng Duan , Jie Feng , Runjian Chen , Qianru Zhang , Zhongbin Xu , Yueyang Wang

Algorithmic differentiation (AD) is a set of techniques that provide partial derivatives of computer-implemented functions. Such a function can be supplied to state-of-the-art AD tools via its source code, or via an intermediate…

Mathematical Software · Computer Science 2023-07-10 Max Aehle , Johannes Blühdorn , Max Sagebaum , Nicolas R. Gauger

Graph matching aims to find correspondences between two graphs. This paper integrates several well-known graph matching algorithms into a framework: the constrained gradient method. The primary difference among these algorithms lies in…

Combinatorics · Mathematics 2024-12-11 Binrui Shen , Qiang Niu , Shengxin Zhu

We present an improved algorithm for computing the $4$-edge-connected components of an undirected graph in linear time. The new algorithm uses only elementary data structures, and it is simple to describe and to implement in the pointer…

Data Structures and Algorithms · Computer Science 2021-08-20 Loukas Georgiadis , Giuseppe F. Italiano , Evangelos Kosinas

We present the algebraic representation and basic algorithms for MultiAspect Graphs (MAGs). A MAG is a structure capable of representing multilayer and time-varying networks, as well as higher-order networks, while also having the property…

Discrete Mathematics · Computer Science 2016-09-27 Klaus Wehmuth , Éric Fleury , Artur Ziviani

Static program slicing is a fundamental software engineering technique for isolating code relevant to specific variables. While recent learning-based approaches using language models (LMs) show promise in automating slice prediction, they…

Software Engineering · Computer Science 2026-05-12 Pengfei He , Shaowei Wang , Tse-Hsun Chen , Muhammad Asaduzzaman

The difference-of-convex (DC) program is an important model in nonconvex optimization due to its structure, which encompasses a wide range of practical applications. In this paper, we aim to tackle a generalized class of DC programs, where…

Optimization and Control · Mathematics 2025-05-29 Tan Nhat Pham , Minh N. Dao , Nima Amjady , Rakibuzzaman Shah

Computing the gradients of a rendering process is paramount for diverse applications in computer vision and graphics. However, accurate computation of these gradients is challenging due to discontinuities and rendering approximations,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Stanislav Pidhorskyi , Tomas Simon , Gabriel Schwartz , He Wen , Yaser Sheikh , Jason Saragih

This work addresses the NP-Hard problem of acyclic directed acyclic graph (DAG) partitioning problem. The acyclic partitioning problem is defined as partitioning the vertex set of a given directed acyclic graph into disjoint and…

Data Structures and Algorithms · Computer Science 2022-07-28 M. Yusuf Özkaya , Ümit V. Çatalyürek

Automatic parallelization improves the performance of serial program by automatically converting to parallel program. Automatic parallelization typically works in three phases: check for data dependencies in the input program, perform…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-19 Kavya Alluru , Jeganathan. L

Recently, we have proposed a new diffusive representation for fractional derivatives and, based on this representation, suggested an algorithm for their numerical computation. From the construction of the algorithm, it is immediately…

Numerical Analysis · Mathematics 2022-04-12 Kai Diethelm

In this paper, we present a quantum algorithm for dynamic programming approach for problems on directed acyclic graphs (DAGs). The running time of the algorithm is $O(\sqrt{\hat{n}m}\log \hat{n})$, and the running time of the best known…

Data Structures and Algorithms · Computer Science 2019-06-21 Kamil Khadiev , Liliya Safina

Recent advances have established the identifiability of a directed acyclic graph (DAG) under additive noise models (ANMs), spurring the development of various causal discovery methods. However, most existing methods make restrictive model…

Machine Learning · Statistics 2026-04-24 Stella Huang , Qing Zhou

In this paper, we propose a Customizable Architecture Search (CAS) approach to automatically generate a network architecture for semantic image segmentation. The generated network consists of a sequence of stacked computation cells. A…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Yiheng Zhang , Zhaofan Qiu , Jingen Liu , Ting Yao , Dong Liu , Tao Mei

We consider the PC-algorithm Spirtes et. al. (2000) for estimating the skeleton of a very high-dimensional acyclic directed graph (DAG) with corresponding Gaussian distribution. The PC-algorithm is computationally feasible for sparse…

Statistics Theory · Mathematics 2007-06-13 Markus Kalisch , Peter Buehlmann

Dynamic graphs (DGs), which capture time-evolving relationships between graph entities, have widespread real-world applications. To efficiently encode DGs for downstream tasks, most dynamic graph neural networks follow the traditional…

Machine Learning · Computer Science 2025-01-31 Xiang Wu , Xunkai Li , Rong-Hua Li , Kangfei Zhao , Guoren Wang

Active Appearance Models (AAMs) are one of the most popular and well-established techniques for modeling deformable objects in computer vision. In this paper, we study the problem of fitting AAMs using Compositional Gradient Descent (CGD)…

Computer Vision and Pattern Recognition · Computer Science 2016-01-05 Joan Alabort-i-Medina , Stefanos Zafeiriou

In this paper we propose an algorithm for the detection of edges in images that is based on topological asymptotic analysis. Motivated from the Mumford--Shah functional, we consider a variational functional that penalizes oscillations…

Numerical Analysis · Mathematics 2013-06-12 E. Beretta , M. Grasmair , M. Muszkieta , O. Scherzer
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