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This paper considers nonconvex distributed constrained optimization over networks, modeled as directed (possibly time-varying) graphs. We introduce the first algorithmic framework for the minimization of the sum of a smooth nonconvex…

Optimization and Control · Mathematics 2018-09-05 Gesualdo Scutari , Ying Sun

Multi-view classification (MVC) generally focuses on improving classification accuracy by using information from different views, typically integrating them into a unified comprehensive representation for downstream tasks. However, it is…

Machine Learning · Computer Science 2021-02-04 Zongbo Han , Changqing Zhang , Huazhu Fu , Joey Tianyi Zhou

Logconcave functions represent the current frontier of efficient algorithms for sampling, optimization and integration in R^n. Efficient sampling algorithms to sample according to a probability density (to which the other two problems can…

Data Structures and Algorithms · Computer Science 2009-06-16 Karthekeyan Chandrasekaran , Amit Deshpande , Santosh Vempala

Non-linear source separation is a challenging open problem with many applications. We extend a recently proposed Adversarial Non-linear ICA (ANICA) model, and introduce Cramer-Wold ICA (CW-ICA). In contrast to ANICA we use a simple,…

Machine Learning · Computer Science 2020-11-24 Przemysław Spurek , Aleksandra Nowak , Jacek Tabor , Łukasz Maziarka , Stanisław Jastrzębski

Deep superpixel algorithms have made remarkable strides by substituting hand-crafted features with learnable ones. Nevertheless, we observe that existing deep superpixel methods, serving as mid-level representation operations, remain…

Computer Vision and Pattern Recognition · Computer Science 2024-04-10 Sen Xu , Shikui Wei , Tao Ruan , Lixin Liao

Independent Component Analysis (ICA) models are very popular semiparametric models in which we observe independent copies of a random vector $X = AS$, where $A$ is a non-singular matrix and $S$ has independent components. We propose a new…

Statistics Theory · Mathematics 2012-06-05 Richard J. Samworth , Ming Yuan

We introduce a Cascaded Diffusion Model (Cas-DM) that improves a Denoising Diffusion Probabilistic Model (DDPM) by effectively incorporating additional metric functions in training. Metric functions such as the LPIPS loss have been proven…

Computer Vision and Pattern Recognition · Computer Science 2024-01-05 Jie An , Zhengyuan Yang , Jianfeng Wang , Linjie Li , Zicheng Liu , Lijuan Wang , Jiebo Luo

We propose a new estimation method for the blind source separation model of Bachoc et al. (2020). The new estimation is based on an eigenanalysis of a positive definite matrix defined in terms of multiple normalized spatial local covariance…

Methodology · Statistics 2022-08-29 Bo Zhang , Sixing Hao , Qiwei Yao

Unsupervised blind source separation methods do not require a training phase and thus cannot suffer from a train-test mismatch, which is a common concern in neural network based source separation. The unsupervised techniques can be…

Sound · Computer Science 2021-06-11 Christoph Boeddeker , Frederik Rautenberg , Reinhold Haeb-Umbach

Independent Component Analysis (ICA) is a statistical method often used to decompose a complex dataset in its independent sub-parts. It is a powerful technique to solve a typical Blind Source Separation problem. A fast calculation of the…

Astrophysics · Physics 2007-05-23 C. Cecchi , F. Marcucci , G. Tosti

Blind source separation (BSS) is a very popular technique to analyze multichannel data. In this context, the data are modeled as the linear combination of sources to be retrieved. For that purpose, standard BSS methods all rely on some…

Applications · Statistics 2015-06-23 Jerome Bobin , Jeremy Rapin , Anthony Larue , Jean-Luc Starck

We present a novel algorithm for overcomplete independent components analysis (ICA), where the number of latent sources k exceeds the dimension p of observed variables. Previous algorithms either suffer from high computational complexity or…

Minimizing a convex function of a measure with a sparsity-inducing penalty is a typical problem arising, e.g., in sparse spikes deconvolution or two-layer neural networks training. We show that this problem can be solved by discretizing the…

Optimization and Control · Mathematics 2020-11-04 Lenaic Chizat

We propose a novel mixture-of-experts class to optimize computer vision models in accordance with data transfer limitations at test time. Our approach postulates that the minimum acceptable amount of data allowing for highly-accurate…

Machine Learning · Computer Science 2020-09-02 Alhabib Abbas , Yiannis Andreopoulos

In this paper a novel distributed algorithm for blind macro calibration in sensor networks based on output synchronization is proposed. The algorithm is formulated as a set of gradient-type recursions for estimating parameters of sensor…

Systems and Control · Computer Science 2016-03-27 Miloš S. Stanković , Srđan S. Stanković , Karl Henrik Johansson

In industrial defect segmentation tasks, while pixel accuracy and Intersection over Union (IoU) are commonly employed metrics to assess segmentation performance, the output consistency (also referred to equivalence) of the model is often…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Zhen Qu , Xian Tao , Fei Shen , Zhengtao Zhang , Tao Li

Although synthetic data can alleviate acquisition challenges in image dehazing tasks, it also introduces the problem of domain bias when dealing with small-scale data. This paper proposes a novel dual-branch collaborative unpaired dehazing…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Shuaibin Fan , Minglong Xue , Aoxiang Ning , Senming Zhong

In recent, some robust contrastive multi-view clustering (MvC) methods have been proposed, which construct data pairs from neighborhoods to alleviate the false negative issue, i.e., some intra-cluster samples are wrongly treated as negative…

Computer Vision and Pattern Recognition · Computer Science 2024-01-19 Yiding Lu , Yijie Lin , Mouxing Yang , Dezhong Peng , Peng Hu , Xi Peng

We introduce Linearly Constrained Diffusion Implicit Models (CDIM), a fast and accurate approach to solving noisy linear inverse problems using diffusion models. Traditional diffusion-based inverse methods rely on numerous projection steps…

Machine Learning · Computer Science 2025-12-01 Vivek Jayaram , Ira Kemelmacher-Shlizerman , Steven M. Seitz , John Thickstun

We propose the Sobolev Independence Criterion (SIC), an interpretable dependency measure between a high dimensional random variable X and a response variable Y . SIC decomposes to the sum of feature importance scores and hence can be used…

Machine Learning · Computer Science 2019-11-01 Youssef Mroueh , Tom Sercu , Mattia Rigotti , Inkit Padhi , Cicero Dos Santos