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In this work we analyze the mean-square performance of different strategies for distributed estimation over least-mean-squares (LMS) adaptive networks. The results highlight some useful properties for distributed adaptation in comparison to…

Information Theory · Computer Science 2015-06-05 Xiaochuan Zhao , Ali H. Sayed

Adaptive networks are suitable for decentralized inference tasks, e.g., to monitor complex natural phenomena. Recent research works have intensively studied distributed optimization problems in the case where the nodes have to estimate a…

Multiagent Systems · Computer Science 2023-07-19 Jie Chen , Cédric Richard , Ali. H. Sayed

The LMS algorithm is one of the most widely used techniques in adaptive filtering. Accurate modeling of the algorithm in various circumstances is paramount to achieving an efficient adaptive Wiener filter design process. In the recent…

Signal Processing · Electrical Eng. & Systems 2020-10-22 Enrique T. R. Pinto , Leonardo S. Resende

Recently, diffusion models (DMs) have been increasingly used in audio processing tasks, including speech super-resolution (SR), which aims to restore high-frequency content given low-resolution speech utterances. This is commonly achieved…

Audio and Speech Processing · Electrical Eng. & Systems 2024-10-22 Chin-Yun Yu , Sung-Lin Yeh , György Fazekas , Hao Tang

As one of the recently proposed algorithms for sparse system identification, $l_0$ norm constraint Least Mean Square ($l_0$-LMS) algorithm modifies the cost function of the traditional method with a penalty of tap-weight sparsity. The…

Information Theory · Computer Science 2015-06-04 Guolong Su , Jian Jin , Yuantao Gu , Jian Wang

Diffusion models have become fundamental tools for modeling data distributions in machine learning. Despite their success, these models face challenges when generating data with extreme brightness values, as evidenced by limitations…

Machine Learning · Statistics 2026-04-10 Takuro Kutsuna

We consider adaptive system identification problems with convex constraints and propose a family of regularized Least-Mean-Square (LMS) algorithms. We show that with a properly selected regularization parameter the regularized LMS provably…

Methodology · Statistics 2010-12-24 Yilun Chen , Yuantao Gu , Alfred O. Hero

This paper aims at distributed algorithms for solving a system of linear algebraic equations. Different from most existing formulations for this problem, we assume that the local data at each node is not accurately measured but subject to…

Optimization and Control · Mathematics 2023-05-10 Yutao Tang , Yicheng Zhang , Ruonan Li , Xinghu Wang

This paper presents a model for disfluency detection in spontaneous speech transcripts called LSTM Noisy Channel Model. The model uses a Noisy Channel Model (NCM) to generate n-best candidate disfluency analyses and a Long Short-Term Memory…

Computation and Language · Computer Science 2018-08-29 Paria Jamshid Lou , Mark Johnson

Diffusion Language Models (DLMs) have emerged as a compelling alternative to autoregressive approaches, enabling parallel text generation with competitive performance. Despite these advantages, there is a critical instability in DLMs: the…

Computation and Language · Computer Science 2026-02-24 Zihou Zhang , Zheyong Xie , Li Zhong , Haifeng Liu , Yao Hu , Shaosheng Cao

Masked Diffusion Language Models (DLMs) have recently emerged as a promising alternative to traditional Autoregressive Models (ARMs). DLMs employ transformer encoders with bidirectional attention, enabling parallel token generation while…

Computation and Language · Computer Science 2025-12-11 Maximo Eduardo Rulli , Simone Petruzzi , Edoardo Michielon , Fabrizio Silvestri , Simone Scardapane , Alessio Devoto

This paper proposes distributed adaptive algorithms based on the conjugate gradient (CG) method and the diffusion strategy for parameter estimation over sensor networks. We present sparsity-aware conventional and modified distributed CG…

Information Theory · Computer Science 2015-11-23 Rodrigo C. de Lamare

We propose a diffusion-based framework for prompt optimization that leverages Diffusion Language Models (DLMs) to iteratively refine system prompts through masked denoising. By conditioning on interaction traces, including user queries,…

Computation and Language · Computer Science 2026-02-24 Shiyu Wang , Haolin Chen , Liangwei Yang , Jielin Qiu , Rithesh Murthy , Ming Zhu , Zixiang Chen , Silvio Savarese , Caiming Xiong , Shelby Heinecke , Huan Wang

We study the following basic machine learning task: Given a fixed set of $d$-dimensional input points for a linear regression problem, we wish to predict a hidden response value for each of the points. We can only afford to attain the…

Machine Learning · Computer Science 2018-06-07 Michał Dereziński , Manfred K. Warmuth

As we are entering the era of constructing practical quantum computers, suppressing the inevitable noise to accomplish reliable computational tasks will be the primary goal. Leakage noise, as the amplitude population leaking outside the…

Quantum Physics · Physics 2023-03-07 Chen Ding , Xiao-Yue Xu , Shuo Zhang , Wan-Su Bao , He-Liang Huang

Although diffusion language models (DLMs) are evolving quickly, many recent models converge on a set of shared components. These components, however, are distributed across ad-hoc research codebases or lack transparent implementations,…

Computation and Language · Computer Science 2026-02-27 Zhanhui Zhou , Lingjie Chen , Hanghang Tong , Dawn Song

Diffusion models (DM) can gradually learn to remove noise, which have been widely used in artificial intelligence generated content (AIGC) in recent years. The property of DM for eliminating noise leads us to wonder whether DM can be…

Information Theory · Computer Science 2023-09-19 Tong Wu , Zhiyong Chen , Dazhi He , Liang Qian , Yin Xu , Meixia Tao , Wenjun Zhang

Diffusion models are a class of generative models that have been recently used for speech enhancement with remarkable success but are computationally expensive at inference time. Therefore, these models are impractical for processing…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-15 Bunlong Lay , Rostislav Makarov , Timo Gerkmann

Distributed adaptive signal processing has attracted much attention in the recent decade owing to its effectiveness in many decentralized real-time applications in networked systems. Because many natural signals are highly sparse with most…

Optimization and Control · Mathematics 2017-11-22 Xuanyu Cao , K. J. Ray Liu

The least-mean-squares (LMS) algorithm is the most popular algorithm in adaptive filtering. Several variable step-size strategies have been suggested to improve the performance of the LMS algorithm. These strategies enhance the performance…

Data Structures and Algorithms · Computer Science 2017-03-22 Muhammad Omer Bin Saeed