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In distributed model predictive control (DMPC), where a centralized optimization problem is solved in distributed fashion using dual decomposition, it is important to keep the number of iterations in the solution algorithm, i.e. the amount…

Optimization and Control · Mathematics 2013-07-11 Pontus Giselsson , Anders Rantzer

Location-scale Dirichlet process mixtures of Gaussians (DPM-G) have proved extremely useful in dealing with density estimation and clustering problems in a wide range of domains. Motivated by an astronomical application, in this work we…

Methodology · Statistics 2020-07-14 Julyan Arbel , Riccardo Corradin , Bernardo Nipoti

Partial differential equations (PDEs) have become an essential tool for modeling complex physical systems. Such equations are typically solved numerically via mesh-based methods, such as finite element methods, with solutions over the…

Methodology · Statistics 2024-02-15 Chih-Li Sung , Wenjia Wang , Liang Ding , Xingjian Wang

While there is an immense literature on Bayesian methods for clustering, the multiview case has received little attention. This problem focuses on obtaining distinct but statistically dependent clusterings in a common set of entities for…

Methodology · Statistics 2025-04-01 Alexander Dombowsky , David B. Dunson

Discrete diffusion models are a powerful, emerging paradigm for code generation. They construct programs through iterative refinement of partially corrupted token sequences and enable parallel token refinement. Importantly, this paradigm…

Computation and Language · Computer Science 2026-05-19 Lize Shao , Michael Cardei , Zichen Xie , Ferdinando Fioretto , Wenxi Wang

Current SMILES-based diffusion models for molecule generation typically support only unimodal constraint. They inject conditioning signals at the start of the training process and require retraining a new model from scratch whenever the…

Machine Learning · Computer Science 2025-08-21 Yunzhe Zhang , Yifei Wang , Khanh Vinh Nguyen , Pengyu Hong

Bayesian model updating provides a rigorous probabilistic framework for calibrating finite element (FE) models with quantified uncertainties, thereby enhancing damage assessment, response prediction, and performance evaluation of…

Applications · Statistics 2026-04-27 Taro Yaoyama , Tatsuya Itoi , Jun Iyama

Time series data may exhibit clustering over time and, in a multiple time series context, the clustering behavior may differ across the series. This paper is motivated by the Bayesian non--parametric modeling of the dependence between the…

Statistics Theory · Mathematics 2011-09-23 Federico Bassetti , Roberto Casarin , Fabrizio Leisen

Higher-order ODE solvers have become a standard tool for accelerating diffusion probabilistic model (DPM) sampling, motivating the widespread view that first-order methods are inherently slower and that increasing discretization order is…

Machine Learning · Statistics 2026-01-01 Yuchen Jiao , Na Li , Changxiao Cai , Gen Li

Although discrete mixture modeling has formed the backbone of the literature on Bayesian density estimation, there are some well known disadvantages. We propose an alternative class of priors based on random nonlinear functions of a uniform…

Statistics Theory · Mathematics 2015-03-19 Suprateek Kundu , David B. Dunson

We discuss functional clustering procedures for nested designs, where multiple curves are collected for each subject in the study. We start by considering the application of standard functional clustering tools to this problem, which leads…

Applications · Statistics 2014-11-21 Abel Rodriguez , David B. Dunson

Speech enhancement (SE) is the foundational task of enhancing the clarity and quality of speech in the presence of non-stationary additive noise. While deterministic deep learning models have been commonly employed for SE, recent research…

Audio and Speech Processing · Electrical Eng. & Systems 2025-03-11 Sonal Kumar , Sreyan Ghosh , Utkarsh Tyagi , Anton Jeran Ratnarajah , Chandra Kiran Reddy Evuru , Ramani Duraiswami , Dinesh Manocha

In many applications, a finite mixture is a natural model, but it can be difficult to choose an appropriate number of components. To circumvent this choice, investigators are increasingly turning to Dirichlet process mixtures (DPMs), and…

Statistics Theory · Mathematics 2013-09-03 Jeffrey W. Miller , Matthew T. Harrison

Gigantic pre-trained models have become central to natural language processing (NLP), serving as the starting point for fine-tuning towards a range of downstream tasks. However, two pain points persist for this paradigm: (a) as the…

Machine Learning · Computer Science 2023-05-25 Xuxi Chen , Tianlong Chen , Weizhu Chen , Ahmed Hassan Awadallah , Zhangyang Wang , Yu Cheng

Cluster expansion (CE) is effective in modeling the stability of metallic alloys, but sometimes cluster expansions fail. Failures are often attributed to atomic relaxation in the DFT-calculated data, but there is no metric for quantifying…

Materials Science · Physics 2017-07-19 Andrew H. Nguyen , Conrad W. Rosenbrock , C. Shane Reese , Gus L. W. Hart

We present a Bayesian nonparametric framework for multilevel clustering which utilizes group-level context information to simultaneously discover low-dimensional structures of the group contents and partitions groups into clusters. Using…

Machine Learning · Computer Science 2014-01-30 Vu Nguyen , Dinh Phung , XuanLong Nguyen , Svetha Venkatesh , Hung Hai Bui

Traditional clustering methods often perform clustering with low-level indiscriminative representations and ignore relationships between patterns, resulting in slight achievements in the era of deep learning. To handle this problem, we…

Machine Learning · Computer Science 2019-05-07 Jianlong Chang , Yiwen Guo , Lingfeng Wang , Gaofeng Meng , Shiming Xiang , Chunhong Pan

During the semiconductor manufacturing process, predicting the yield of the semiconductor is an important problem. Early detection of defective product production in the manufacturing process can save huge production cost. The data…

Applications · Statistics 2021-08-03 Sewon Park , Kyeongwon Lee , Da-Eun Jeong , Heung-Kook Ko , Jaeyong Lee

We present a Dirichlet process mixture model over discrete incomplete rankings and study two Gibbs sampling inference techniques for estimating posterior clusterings. The first approach uses a slice sampling subcomponent for estimating…

Machine Learning · Computer Science 2012-03-19 Marina Meila , Harr Chen

Thanks to the reparameterization trick, deep latent Gaussian models have shown tremendous success recently in learning latent representations. The ability to couple them however with nonparamet-ric priors such as the Dirichlet Process (DP)…

Machine Learning · Statistics 2020-07-28 Amine Echraibi , Joachim Flocon-Cholet , Stéphane Gosselin , Sandrine Vaton