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Diffusion models trained on different, non-overlapping subsets of a dataset often produce strikingly similar outputs when given the same noise seed. We trace this consistency to a simple linear effect: the shared Gaussian statistics across…

Machine Learning · Computer Science 2026-02-04 Binxu Wang , Jacob Zavatone-Veth , Cengiz Pehlevan

While routing in wireless networks has been studied extensively, existing protocols are typically designed for a specific set of network conditions and so cannot accommodate any drastic changes in those conditions. For instance, protocols…

Networking and Internet Architecture · Computer Science 2021-01-01 Victoria Manfredi , Alicia Wolfe , Bing Wang , Xiaolan Zhang

Problem of long-range sound propagation in the randomly-inhomogeneous deep ocean is considered. We examine a novel approach for modeling of wave propagation, developed by K.C.Hegewisch and S.Tomsovic. This approach relies on construction of…

Chaotic Dynamics · Physics 2017-06-01 Denis Makarov

We present a brief overview of random matrix theory (RMT) with the objectives of highlighting the computational results and applications in financial markets as complex systems. An oft-encountered problem in computational finance is the…

Statistical Finance · Quantitative Finance 2018-09-27 Hirdesh K. Pharasi , Kiran Sharma , Anirban Chakraborti , Thomas H. Seligman

In this work, we present some applications of random matrix theory for the training of deep neural networks. Recently, random matrix theory (RMT) has been applied to the overfitting problem in deep learning. Specifically, it has been shown…

Machine Learning · Computer Science 2023-03-17 Yitzchak Shmalo , Jonathan Jenkins , Oleksii Krupchytskyi

This short paper reports some initial experimental demonstrations of the theoretical framework: the massive amount of data in the large-scale cognitive radio network can be naturally modeled as (large) random matrices. In particular, using…

Information Theory · Computer Science 2014-04-16 Changhun Zhang , Robert C. Qiu

Time series prediction can be generalized as a process that extracts useful information from historical records and then determines future values. Learning long-range dependencies that are embedded in time series is often an obstacle for…

Neural and Evolutionary Computing · Computer Science 2018-10-25 Yuxiu Hua , Zhifeng Zhao , Rongpeng Li , Xianfu Chen , Zhiming Liu , Honggang Zhang

Near-field magnetic resonance wireless power transfer (WPT) technology has garnered significant attention due to its broad application prospects in medical implants, electric vehicles, and robotics. Addressing the challenges faced by…

Applied Physics · Physics 2025-05-13 Likai Wang , Yuqian Wang , Shengyu Hu , Yunhui Li , Hong Chen , Ce Wang , Zhiwei Guo

It is described how one comes to the Wigner-Dyson random matrix theory (RMT) starting from a model of a disordered metal. The lectures start with a historical introduction where basic ideas of the RMT and theory of disordered metals are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. B. Efetov

Existing communication systems exhibit inherent limitations in translating theory to practice when handling the complexity of optimization for emerging wireless applications with high degrees of freedom. Deep learning has a strong potential…

Networking and Internet Architecture · Computer Science 2020-05-14 Tugba Erpek , Timothy J. O'Shea , Yalin E. Sagduyu , Yi Shi , T. Charles Clancy

This paper presents a comprehensive literature review on applications of deep reinforcement learning in communications and networking. Modern networks, e.g., Internet of Things (IoT) and Unmanned Aerial Vehicle (UAV) networks, become more…

Networking and Internet Architecture · Computer Science 2018-10-19 Nguyen Cong Luong , Dinh Thai Hoang , Shimin Gong , Dusit Niyato , Ping Wang , Ying-Chang Liang , Dong In Kim

Future wireless networks have a substantial potential in terms of supporting a broad range of complex compelling applications both in military and civilian fields, where the users are able to enjoy high-rate, low-latency, low-cost and…

Networking and Internet Architecture · Computer Science 2020-08-05 Jingjing Wang , Chunxiao Jiang , Haijun Zhang , Yong Ren , Kwang-Cheng Chen , Lajos Hanzo

Enhancing future wireless networks presents a significant challenge for networking systems due to diverse user demands and the emergence of 6G technology. While reinforcement learning (RL) is a powerful framework, it often encounters…

Networking and Internet Architecture · Computer Science 2026-02-17 Jie Zheng , Ruichen Zhang , Dusit Niyato , Haijun Zhang , Jiacheng Wang , Hongyang Du , Jiawen Kang , Zehui Xiong

Deep learning has been used to tackle problems in wireless communication including signal detection, channel estimation, traffic prediction, and demapping. Achieving reasonable results with deep learning typically requires large datasets…

Signal Processing · Electrical Eng. & Systems 2024-08-30 Uyoata E. Uyoata , Ramoni O. Adeogun

Deep learning is a potential paradigm changer for the design of wireless communications systems (WCS), from conventional handcrafted schemes based on sophisticated mathematical models with assumptions to autonomous schemes based on the…

Information Theory · Computer Science 2018-08-08 Woongsup Lee , Ohyun Jo , Minhoe Kim

Traditional communication system design has always been based on the paradigm of first establishing a mathematical model of the communication channel, then designing and optimizing the system according to the model. The advent of modern…

Information Theory · Computer Science 2022-10-07 Wei Yu , Foad Sohrabi , Tao Jiang

Large models (LMs), such as ChatGPT, have made a significant impact across diverse domains and hold great potential to facilitate the evolution of network intelligence. Wireless-native multi-modal large models (WMLMs) can sense and…

Networking and Internet Architecture · Computer Science 2025-12-01 Zhuoran Duan , Yuhao Wei , Guoshun Nan , Zijun Wang , Yan Yan , Lihua Xiong , Yuhan Ran , Ji Zhang , Jian Li , Qimei Cui , Xiaofeng Tao , Tony Q. S. Quek

Wireless communications are envisioned to bring about dramatic changes in the future, with a variety of emerging applications, such as virtual reality (VR), Internet of things (IoT), etc., becoming a reality. However, these compelling…

Signal Processing · Electrical Eng. & Systems 2020-07-14 Linglong Dai , Ruicheng Jiao , Fumiyuki Adachi , H. Vincent Poor , Lajos Hanzo

Large language model (LLM) has recently been considered a promising technique for many fields. This work explores LLM-based wireless network optimization via in-context learning. To showcase the potential of LLM technologies, we consider…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Hao Zhou , Chengming Hu , Dun Yuan , Ye Yuan , Di Wu , Xue Liu , Charlie Zhang

Random Matrix Theory (RMT) is applied to analyze weight matrices of Deep Neural Networks (DNNs), including both production quality, pre-trained models such as AlexNet and Inception, and smaller models trained from scratch, such as LeNet5…

Machine Learning · Computer Science 2018-10-03 Charles H. Martin , Michael W. Mahoney