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Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

Computational Engineering, Finance, and Science · Computer Science 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

Moment-based distributionally robust optimization (DRO) provides an optimization framework to integrate statistical information with traditional optimization approaches. Under this framework, one assumes that the underlying joint…

Optimization and Control · Mathematics 2023-11-01 Shiyi Jiang , Jianqiang Cheng , Kai Pan , Zuo-Jun Max Shen

This paper revisits the ordered statistics decoding (OSD). It provides a comprehensive analysis of the OSD algorithm by characterizing the statistical properties, evolution and the distribution of the Hamming distance and weighted Hamming…

Information Theory · Computer Science 2021-05-10 Chentao Yue , Mahyar Shirvanimoghaddam , Branka Vucetic , Yonghui Li

As device sizes shrink and current densities increase, the probability of device failures due to gate oxide breakdown (OBD) also increases. To provide designs that are tolerant to such failures, we must investigate and understand the…

Hardware Architecture · Computer Science 2011-11-09 Jonathan R. Carter , Sule Ozev , Daniel J. Sorin

In this study, we present and validate the predictive capability of the Physics-Informed Neural Networks (PINNs) methodology for solving a variety of engineering and biological dynamical systems governed by ordinary differential equations…

Machine Learning · Computer Science 2025-11-19 Tyrus Whitman , Andrew Particka , Christopher Diers , Ian Griffin , Charuka Wickramasinghe , Pradeep Ranaweera

A neural ordinary differential equation (neural ODE) is a machine learning model that is commonly described as a continuous-depth generalization of a residual network (ResNet) with a single residual block, or conversely, the ResNet can be…

Machine Learning · Computer Science 2025-10-14 Abdelrahman Sayed Sayed , Pierre-Jean Meyer , Mohamed Ghazel

Anomaly detection (such as telecom fraud detection and medical image detection) has attracted the increasing attention of people. The complex interaction between multiple entities widely exists in the network, which can reflect specific…

Machine Learning · Computer Science 2024-06-10 Xu Yuan , Na Zhou , Shuo Yu , Huafei Huang , Zhikui Chen , Feng Xia

Binary code similarity detection (BCSD) serves as a fundamental technique for various software engineering tasks, e.g., vulnerability detection and classification. Attacks against such models have therefore drawn extensive attention, aiming…

Cryptography and Security · Computer Science 2025-06-09 Mingjie Chen , Tiancheng Zhu , Mingxue Zhang , Yiling He , Minghao Lin , Penghui Li , Kui Ren

This paper introduces a novel method for synthesizing digital circuits derived from Binary Decision Diagrams (BDDs) that can yield to reduction in power dissipation. The power reduction is achieved by decreasing the switching activity in a…

Hardware Architecture · Computer Science 2007-05-23 Denis V. Popel

The binary neural network, largely saving the storage and computation, serves as a promising technique for deploying deep models on resource-limited devices. However, the binarization inevitably causes severe information loss, and even…

Neural and Evolutionary Computing · Computer Science 2020-04-08 Haotong Qin , Ruihao Gong , Xianglong Liu , Xiao Bai , Jingkuan Song , Nicu Sebe

Supervision of the physical layer of optical networks is an extremely relevant subject. To detect fiber faults, single-ended solutions such as the Optical Time Domain Reflectometer (OTDR) allow for precise measurements of fault profiles.…

Signal Processing · Electrical Eng. & Systems 2018-12-20 Michael Lunglmayr , Gustavo C. Amaral

A data structure for finite bounded acyclic categories has been built, which is useful to encode and manipulate abstract orientable incidence structure. It can be represented as a directed acyclic multigraph with weighted edges, where the…

Data Structures and Algorithms · Computer Science 2023-07-04 Yu-Wei Huang

Outlier detection tasks aim at discovering potential issues or opportunities and are widely used in cybersecurity, financial security, industrial inspection, etc. To date, thousands of outlier detection algorithms have been proposed.…

Machine Learning · Computer Science 2025-02-11 Qi Li

In order to provide high data reliability, distributed storage systems disperse data with redundancy to multiple storage nodes. Regenerating codes is a new class of erasure codes to introduce redundancy for the purpose of improving the data…

Information Theory · Computer Science 2015-03-18 Kenneth W. Shum , Yuchong Hu

Dynamic neural networks can greatly reduce computation redundancy without compromising accuracy by adapting their structures based on the input. In this paper, we explore the robustness of dynamic neural networks against energy-oriented…

Cryptography and Security · Computer Science 2023-04-17 Jianhong Pan , Lin Geng Foo , Qichen Zheng , Zhipeng Fan , Hossein Rahmani , Qiuhong Ke , Jun Liu

Irregular time series data are prevalent in the real world and are challenging to model with a simple recurrent neural network (RNN). Hence, a model that combines the use of ordinary differential equations (ODE) and RNN was proposed…

Machine Learning · Computer Science 2022-07-13 Ting Fung Lam , Yony Bresler , Ahmed Khorshid , Nathan Perlmutter

Bayesian networks are a powerful framework for studying the dependency structure of variables in a complex system. The problem of learning Bayesian networks is tightly associated with the given data type. Ordinal data, such as stages of…

Methodology · Statistics 2021-11-15 Xiang Ge Luo , Giusi Moffa , Jack Kuipers

In data-driven modeling of spatiotemporal phenomena careful consideration often needs to be made in capturing the dynamics of the high wavenumbers. This problem becomes especially challenging when the system of interest exhibits shocks or…

Machine Learning · Computer Science 2022-12-28 Alec J. Linot , Joshua W. Burby , Qi Tang , Prasanna Balaprakash , Michael D. Graham , Romit Maulik

This paper presents a new compressed representation of Boolean functions, called CFLOBDDs (for Context-Free-Language Ordered Binary Decision Diagrams). They are essentially a plug-compatible alternative to BDDs (Binary Decision Diagrams),…

Symbolic Computation · Computer Science 2024-08-30 Meghana Sistla , Swarat Chaudhuri , Thomas Reps

We address the problem of distributed state estimation of a linear dynamical process in an attack-prone environment. Recent attempts to solve this problem impose stringent redundancy requirements on the measurement and communication…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Aritra Mitra , Faiq Ghawash , Shreyas Sundaram , Waseem Abbas