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Deep learning-based graph generation approaches have remarkable capacities for graph data modeling, allowing them to solve a wide range of real-world problems. Making these methods able to consider different conditions during the generation…

Machine Learning · Computer Science 2023-01-11 Faezeh Faez , Negin Hashemi Dijujin , Mahdieh Soleymani Baghshah , Hamid R. Rabiee

We propose TD-GEN, a graph generation framework based on tree decomposition, and introduce a reduced upper bound on the maximum number of decisions needed for graph generation. The framework includes a permutation invariant tree generation…

Machine Learning · Computer Science 2022-02-24 Hamed Shirzad , Hossein Hajimirsadeghi , Amir H. Abdi , Greg Mori

The concept of a random process has been recently extended to graph signals, whereby random graph processes are a class of multivariate stochastic processes whose coefficients are matrices with a \textit{graph-topological} structure. The…

Signal Processing · Electrical Eng. & Systems 2020-03-13 Thiernithi Variddhisai , Danilo Mandic

Graph generation is a crucial task in many fields, including network science and bioinformatics, as it enables the creation of synthetic graphs that mimic the properties of real-world networks for various applications. Graph Generative…

Machine Learning · Computer Science 2026-01-21 Salvatore Romano , Marco Grassia , Giuseppe Mangioni

Scenario reduction (SR) aims to identify a small yet representative scenario set to depict the underlying uncertainty, which is critical to scenario-based stochastic optimization (SBSO) of power systems. Existing SR techniques commonly aim…

Optimization and Control · Mathematics 2025-06-16 Yingrui Zhuang , Lin Cheng , Ning Qi , Mads R. Almassalkhi , Feng Liu

Algorithmic meta-theorems explain the tractability of large classes of computational problems by linking logical expressibility with structural graph properties. While extensions of first-order logic such as FO+dp admit efficient model…

Logic in Computer Science · Computer Science 2026-05-04 Ignasi Sau , Nicole Schirrmacher , Sebastian Siebertz , Giannos Stamoulis , Dimitrios M. Thilikos , Alexandre Vigny

Detecting structural instability and anomalies in high-dimensional financial time series is challenging due to complex temporal dependence and evolving cross-sectional structure. We propose ReGEN-TAD, an interpretable generative framework…

Machine Learning · Statistics 2026-03-10 Waldyn G Martinez

We use cutting-edge mixed integer optimization (MIO) methods to develop a framework for detection and estimation of structural breaks in time series regression models. The framework is constructed based on the least squares problem subject…

Econometrics · Economics 2025-05-12 Artem Prokhorov , Peter Radchenko , Alexander Semenov , Anton Skrobotov

Time series data generation has drawn increasing attention in recent years. Several generative adversarial network (GAN) based methods have been proposed to tackle the problem usually with the assumption that the targeted time series data…

Machine Learning · Computer Science 2021-11-17 Hengzhi Pei , Kan Ren , Yuqing Yang , Chang Liu , Tao Qin , Dongsheng Li

Inverse microstructure design plays a central role in materials discovery, yet remains challenging due to the complexity of structure-property linkages and the scarcity of labeled training data. We propose Design-GenNO, a physics-informed…

Mathematical Physics · Physics 2025-09-11 Yaohua Zang , Phaedon-Stelios Koutsourelakis

Many physical processes can be expressed through partial differential equations (PDEs). Real-world measurements of such processes are often collected at irregularly distributed points in space, which can be effectively represented as…

Machine Learning · Computer Science 2025-07-16 Jost Arndt , Utku Isil , Michael Detzel , Wojciech Samek , Jackie Ma

Massive multiple-input multiple-output (M-MIMO) technique brings better energy efficiency and coverage but higher computational complexity than small-scale MIMO. For linear detections such as minimum mean square error (MMSE), prohibitive…

Signal Processing · Electrical Eng. & Systems 2018-02-19 Chuan Zhang , Yufeng Yang , Shunqing Zhang , Zaichen Zhang , Xiaohu You

We propose a physics-informed consistency modeling framework for solving partial differential equations (PDEs) via fast, few-step generative inference. We identify a key stability challenge in physics-constrained consistency training, where…

Machine Learning · Computer Science 2026-02-11 Che-Chia Chang , Chen-Yang Dai , Te-Sheng Lin , Ming-Chih Lai , Chieh-Hsin Lai

To overcome the computational bottleneck of various data perturbation procedures such as the bootstrap and cross validations, we propose the Generative Multiple-purpose Sampler (GMS), which constructs a generator function to produce…

Methodology · Statistics 2023-10-18 Minsuk Shin , Shijie Wang , Jun S Liu

Building upon the standard graph-based Retrieval-Augmented Generation (RAG), the introduction of heterogeneous graphs and hypergraphs aims to enrich retrieval and generation by leveraging the relationships between multiple entities through…

Computation and Language · Computer Science 2025-09-03 Xuecheng Zou , Ke Liu , Bingbing Wang , Huafei Deng , Li Zhang , Yu Tang

Biological classification with interpretability remains a challenging task. For this, we introduce a novel encoding framework, Multi-Scale Reversible Chaos Game Representation (MS-RCGR), that transforms biological sequences into…

Machine Learning · Computer Science 2026-04-21 Sarwan Ali , Taslim Murad

Generating high-quality geometry problems is both an important and challenging task in education. Compared to math word problems, geometry problems further emphasize multi-modal formats and the translation between informal and formal…

Artificial Intelligence · Computer Science 2025-06-04 Zhuoxuan Jiang , Tianyang Zhang , Peiyan Peng , Jing Chen , Yinong Xun , Haotian Zhang , Lichi Li , Yong Li , Shaohua Zhang

This paper addresses the problem of estimating multiplicative fault signals in linear time-invariant systems by processing its input and output variables, as well as designing an input signal to maximize the accuracy of such estimates. The…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Gabriel de Albuquerque Gleizer , Peyman Mohajerin Esfahani , Tamas Keviczky

Synthetic tabular data generation is increasingly essential in data management, supporting downstream applications when real-world and high-quality tabular data is insufficient. Existing tabular generation approaches, such as generative…

Machine Learning · Computer Science 2025-09-15 Mingxuan Jiang , Yongxin Wang , Ziyue Dai , Yicun Liu , Hongyi Nie , Sen Liu , Hongfeng Chai

Multi-agent LLM systems for code generation face a fundamental routing problem: the optimal orchestration topology depends on the structural complexity of the code under modification, yet existing systems select topologies without…

Artificial Intelligence · Computer Science 2026-05-08 Abhijit Talluri , Pujith Anne , Bhagavan Choudary Pendiyala , Raghavendra Chilukuri