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Alternating direction method of multiplier (ADMM) is a widely used algorithm for solving constrained optimization problems in image restoration. Among many useful features, one critical feature of the ADMM algorithm is its modular structure…

Computer Vision and Pattern Recognition · Computer Science 2016-11-14 Stanley H. Chan , Xiran Wang , Omar A. Elgendy

This paper proposes a provably convergent multiblock ADMM for nonconvex optimization with nonlinear dynamics constraints, overcoming the divergence issue in classical extensions. We consider a class of optimization problems that arise from…

Optimization and Control · Mathematics 2025-06-24 Bowen Li , Ya-xiang Yuan

We present a novel framework, namely AADMM, for acceleration of linearized alternating direction method of multipliers (ADMM). The basic idea of AADMM is to incorporate a multi-step acceleration scheme into linearized ADMM. We demonstrate…

Optimization and Control · Mathematics 2014-02-13 Yuyuan Ouyang , Yunmei Chen , Guanghui Lan , Eduardo Pasiliao

In this paper, we develop a splitting algorithm incorporating Bregman distances to solve a broad class of linearly constrained composite optimization problems, whose objective function is the separable sum of possibly nonconvex nonsmooth…

Optimization and Control · Mathematics 2024-10-01 Tan Nhat Pham , Minh N. Dao , Andrew Eberhard , Nargiz Sultanova

In this work, arithmetic distribution matching (ADM) is presented. ADM invertibly transforms a discrete memoryless source (DMS) into a target DMS. ADM can be used for probabilistic shaping and for rate adaption. Opposed to existing…

Information Theory · Computer Science 2014-08-19 Sebastian Baur , Georg Böcherer

Median filtering is a non-linear smoothing technique widely used in digital image processing to remove noise while retaining sharp edges. It is particularly well suited to removing outliers (impulse noise) or granular artifacts (speckle…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-29 Louis Sugy

To facilitate efficient embedded and hardware implementations of deep neural networks (DNNs), two important categories of DNN model compression techniques: weight pruning and weight quantization are investigated. The former leverages the…

Machine Learning · Computer Science 2019-01-03 Ao Ren , Tianyun Zhang , Shaokai Ye , Jiayu Li , Wenyao Xu , Xuehai Qian , Xue Lin , Yanzhi Wang

We study a multi-factor block model for variable clustering and connect it to regularized subspace clustering through a distributionally robust version of nodewise regression. To solve the latter problem, we derive a convex relaxation,…

Machine Learning · Computer Science 2026-05-26 Kaizheng Wang , Xiao Xu , Xun Yu Zhou

The streaming max-min diversification problem concerns the selection of a limited and diverse sample of items out of a data stream of known finite length. The objective to be maximized is the minimum distance among any pair of selected…

Data Structures and Algorithms · Computer Science 2025-06-24 Argyris Kalogeratos , Yutai Nazir Zhao , Mathilde Fekom

The Plug-and-Play (PnP) ADMM algorithm is a powerful image restoration framework that allows advanced image denoising priors to be integrated into physical forward models to generate high quality image restoration results. However, despite…

Image and Video Processing · Electrical Eng. & Systems 2019-05-21 Stanley H. Chan

This paper investigates the performance of the adaptive matched filtering (AMF) in cluttered environments, particularly when operating with superimposed signals. Since the instantaneous signal-to-clutter-plus-noise ratio (SCNR) is a random…

Information Theory · Computer Science 2025-12-10 Lei Xie , Hengtao He , Yifeng Xiong , Fan Liu , Shi Jin

We introduce Autoregressive Diffusion Models (ARDMs), a model class encompassing and generalizing order-agnostic autoregressive models (Uria et al., 2014) and absorbing discrete diffusion (Austin et al., 2021), which we show are special…

Machine Learning · Computer Science 2022-02-03 Emiel Hoogeboom , Alexey A. Gritsenko , Jasmijn Bastings , Ben Poole , Rianne van den Berg , Tim Salimans

The success of deep learning can be attributed to various factors such as increase in computational power, large datasets, deep convolutional neural networks, optimizers etc. Particularly, the choice of optimizer affects the generalization,…

Machine Learning · Computer Science 2021-09-10 Anirudh Maiya , Inumella Sricharan , Anshuman Pandey , Srinivas K. S

Alternating direction method of multipliers (ADMM) is a popular first-order method owing to its simplicity and efficiency. However, similar to other proximal splitting methods, the performance of ADMM degrades significantly when the scale…

Optimization and Control · Mathematics 2021-08-11 Fengmiao Bian , Jingwei Liang , Xiaoqun Zhang

The alternating direction method of multipliers (ADMM) is a powerful splitting algorithm for linearly constrained convex optimization problems. In view of its popularity and applicability, a growing attention is drawn towards the ADMM in…

Optimization and Control · Mathematics 2022-08-19 Sedi Bartz , Rubén Campoy , Hung M. Phan

Text classification is fundamental in Natural Language Processing (NLP), and the advent of Large Language Models (LLMs) has revolutionized the field. This paper introduces an adaptable and reliable text classification paradigm, which…

Computation and Language · Computer Science 2024-12-10 Zhiqiang Wang , Yiran Pang , Yanbin Lin , Xingquan Zhu

This paper presents an evolutionary algorithm for modeling the arrival dates of document streams, which is any time-stamped collection of documents, such as newscasts, e-mails, IRC conversations, scientific journals archives and weblog…

Information Retrieval · Computer Science 2007-05-23 Lourdes Araujo , Juan J. Merelo

The alternating direction method of multipliers (ADMM) is a popular approach for solving optimization problems that are potentially non-smooth and with hard constraints. It has been applied to various computer graphics applications,…

Graphics · Computer Science 2019-09-04 Juyong Zhang , Yue Peng , Wenqing Ouyang , Bailin Deng

Adaptive filters are at the core of many signal processing applications, ranging from acoustic noise supression to echo cancelation, array beamforming, channel equalization, to more recent sensor network applications in surveillance, target…

Systems and Control · Electrical Eng. & Systems 2021-12-24 Jerónimo Arenas-García , Luis A. Azpicueta-Ruiz , Magno T. M. Silva , Vitor H. Nascimento , Ali H. Sayed

Stream mining poses unique challenges to machine learning: predictive models are required to be scalable, incrementally trainable, must remain bounded in size (even when the data stream is arbitrarily long), and be nonparametric in order to…

Machine Learning · Statistics 2015-08-21 Rocco De Rosa , Francesco Orabona , Nicolò Cesa-Bianchi
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