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Most empirical studies of networks assume that the network data we are given represent a complete and accurate picture of the nodes and edges in the system of interest, but in real-world situations this is rarely the case. More often the…

Social and Information Networks · Computer Science 2019-01-02 M. E. J. Newman

Data Science and Machine learning have been growing strong for the past decade. We argue that to make the most of this exciting field we should resist the temptation of assuming that forecasting can be reduced to brute-force data analytics.…

Artificial Intelligence · Computer Science 2020-05-12 Hykel Hosni , Angelo Vulpiani

Mathematical reasoning is a fundamental aspect of human intelligence and is applicable in various fields, including science, engineering, finance, and everyday life. The development of artificial intelligence (AI) systems capable of solving…

Artificial Intelligence · Computer Science 2023-06-23 Pan Lu , Liang Qiu , Wenhao Yu , Sean Welleck , Kai-Wei Chang

Rough set theory is a new method that deals with vagueness and uncertainty emphasized in decision making. Data mining is a discipline that has an important contribution to data analysis, discovery of new meaningful knowledge, and autonomous…

Databases · Computer Science 2013-11-19 Thabet Slimani

In any other circumstance, it might make sense to define the extent of the terrain (Data Science) first, and then locate and describe the landmarks (Principles). But this data revolution we are experiencing defies a cadastral survey. Areas…

Other Statistics · Statistics 2021-02-04 Noel Cressie

Most empirical studies of complex networks do not return direct, error-free measurements of network structure. Instead, they typically rely on indirect measurements that are often error-prone and unreliable. A fundamental problem in…

Social and Information Networks · Computer Science 2021-03-10 Jean-Gabriel Young , George T. Cantwell , M. E. J. Newman

Mathematical modeling is an essential step, for example, to analyze the transient behavior of a dynamical process and to perform engineering studies such as optimization and control. With the help of first-principles and expert knowledge, a…

Machine Learning · Computer Science 2021-03-30 Pawan Goyal , Peter Benner

Learning from data has led to substantial advances in a multitude of disciplines, including text and multimedia search, speech recognition, and autonomous-vehicle navigation. Can machine learning enable similar leaps in the natural and…

Machine Learning · Computer Science 2022-11-22 Alice E. A. Allen , Alexandre Tkatchenko

We are pleased to present a Special Section on Statistics and Astronomy in this issue of the The Annals of Applied Statistics. Astronomy is an observational rather than experimental science; as a result, astronomical data sets both small…

Applications · Statistics 2009-05-15 Thomas J. Loredo , John Rice , Michael L. Stein

We formalise the essential data of objective functions as equality constraints on composites of learners. We call these constraints "tasks", and we investigate the idealised view that such tasks determine model behaviours. We develop a…

Machine Learning · Computer Science 2025-05-06 Benjamin Rodatz , Ian Fan , Tuomas Laakkonen , Neil John Ortega , Thomas Hoffmann , Vincent Wang-Mascianica

In data science education, the importance of learning to solve real-world problems has been argued. However, there are two issues with this approach: (1) it is very costly to prepare multiple real-world problems (using real data) according…

Computers and Society · Computer Science 2023-06-06 Satoshi Takahashi , Atushi Yoshikawa

Large-scale, high-quality data are considered an essential factor for the successful application of many deep learning techniques. Meanwhile, numerous real-world deep learning tasks still have to contend with the lack of sufficient amounts…

Machine Learning · Computer Science 2023-10-26 Ou Wu , Rujing Yao

Data Mining is the process of extracting useful patterns from the huge amount of database and many data mining techniques are used for mining these patterns. Recently, one of the remarkable facts in higher educational institute is the rapid…

Artificial Intelligence · Computer Science 2014-05-16 Priyanka Saini

Deep learning models are increasingly deployed in safety-critical tasks where predictions must satisfy hard constraints, such as physical laws, fairness requirements, or safety limits. However, standard architectures lack built-in…

Machine Learning · Computer Science 2025-11-26 Gonzalo E. Constante-Flores , Hao Chen , Can Li

The aim of this article is to present elements and discuss the potential of a research program at the intersection between mathematics and heterodox economics, which we call Criticial Mathematical Economics (CME). We propose to focus on the…

General Economics · Economics 2025-04-08 Johannes Buchner

Neural compression is the application of neural networks and other machine learning methods to data compression. Recent advances in statistical machine learning have opened up new possibilities for data compression, allowing compression…

Machine Learning · Computer Science 2023-08-22 Yibo Yang , Stephan Mandt , Lucas Theis

Statistical inference is the science of drawing conclusions about some system from data. In modern signal processing and machine learning, inference is done in very high dimension: very many unknown characteristics about the system have to…

Disordered Systems and Neural Networks · Physics 2020-10-29 Jean Barbier

Inverse problems are inherently ill-posed, suffering from non-uniqueness and instability. Classical regularization methods provide mathematically well-founded solutions, ensuring stability and convergence, but often at the cost of reduced…

Numerical Analysis · Mathematics 2026-01-21 Markus Haltmeier , Gyeongha Hwang

Scientific discoveries are often made by finding a pattern or object that was not predicted by the known rules of science. Oftentimes, these anomalous events or objects that do not conform to the norms are an indication that the rules of…

Machine Learning · Computer Science 2026-02-17 Elizabeth G. Campolongo , Yuan-Tang Chou , Ekaterina Govorkova , Wahid Bhimji , Wei-Lun Chao , Chris Harris , Shih-Chieh Hsu , Hilmar Lapp , Mark S. Neubauer , Josephine Namayanja , Aneesh Subramanian , Philip Harris , Advaith Anand , David E. Carlyn , Subhankar Ghosh , Christopher Lawrence , Eric Moreno , Ryan Raikman , Jiaman Wu , Ziheng Zhang , Bayu Adhi , Mohammad Ahmadi Gharehtoragh , Saúl Alonso Monsalve , Marta Babicz , Furqan Baig , Namrata Banerji , William Bardon , Tyler Barna , Tanya Berger-Wolf , Adji Bousso Dieng , Micah Brachman , Quentin Buat , David C. Y. Hui , Phuong Cao , Franco Cerino , Yi-Chun Chang , Shivaji Chaulagain , An-Kai Chen , Deming Chen , Eric Chen , Chia-Jui Chou , Zih-Chen Ciou , Miles Cochran-Branson , Artur Cordeiro Oudot Choi , Michael Coughlin , Matteo Cremonesi , Maria Dadarlat , Peter Darch , Malina Desai , Daniel Diaz , Steven Dillmann , Javier Duarte , Isla Duporge , Urbas Ekka , Saba Entezari Heravi , Hao Fang , Rian Flynn , Geoffrey Fox , Emily Freed , Hang Gao , Jing Gao , Julia Gonski , Matthew Graham , Abolfazl Hashemi , Scott Hauck , James Hazelden , Joshua Henry Peterson , Duc Hoang , Wei Hu , Mirco Huennefeld , David Hyde , Vandana Janeja , Nattapon Jaroenchai , Haoyi Jia , Yunfan Kang , Maksim Kholiavchenko , Elham E. Khoda , Sangin Kim , Aditya Kumar , Bo-Cheng Lai , Trung Le , Chi-Wei Lee , JangHyeon Lee , Shaocheng Lee , Suzan van der Lee , Charles Lewis , Haitong Li , Haoyang Li , Henry Liao , Mia Liu , Xiaolin Liu , Xiulong Liu , Vladimir Loncar , Fangzheng Lyu , Ilya Makarov , Abhishikth Mallampalli , Chen-Yu Mao , Alexander Michels , Alexander Migala , Farouk Mokhtar , Mathieu Morlighem , Min Namgung , Andrzej Novak , Andrew Novick , Amy Orsborn , Anand Padmanabhan , Jia-Cheng Pan , Sneh Pandya , Zhiyuan Pei , Ana Peixoto , George Percivall , Alex Po Leung , Sanjay Purushotham , Zhiqiang Que , Melissa Quinnan , Arghya Ranjan , Dylan Rankin , Christina Reissel , Benedikt Riedel , Dan Rubenstein , Argyro Sasli , Eli Shlizerman , Arushi Singh , Kim Singh , Eric R. Sokol , Arturo Sorensen , Yu Su , Mitra Taheri , Vaibhav Thakkar , Ann Mariam Thomas , Eric Toberer , Chenghan Tsai , Rebecca Vandewalle , Arjun Verma , Ricco C. Venterea , He Wang , Jianwu Wang , Sam Wang , Shaowen Wang , Gordon Watts , Jason Weitz , Andrew Wildridge , Rebecca Williams , Scott Wolf , Yue Xu , Jianqi Yan , Jai Yu , Yulei Zhang , Haoran Zhao , Ying Zhao , Yibo Zhong

The study of plasma physics under conditions of extreme temperatures, densities and electromagnetic field strengths is significant for our understanding of astrophysics, nuclear fusion and fundamental physics. These extreme physical systems…

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