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Training neural networks with high certified accuracy against adversarial examples remains an open challenge despite significant efforts. While certification methods can effectively leverage tight convex relaxations for bound computation,…

Machine Learning · Computer Science 2025-07-16 Stefan Balauca , Mark Niklas Müller , Yuhao Mao , Maximilian Baader , Marc Fischer , Martin Vechev

We propose a family of novel hierarchical Bayesian deep auto-encoder models capable of identifying disentangled factors of variability in data. While many recent attempts at factor disentanglement have focused on sophisticated learning…

Machine Learning · Computer Science 2019-09-10 Minyoung Kim , Yuting Wang , Pritish Sahu , Vladimir Pavlovic

Clustering is one of the fundamental problems in unsupervised learning. Recent deep learning based methods focus on learning clustering oriented representations. Among those methods, Variational Deep Embedding achieves great success in…

Machine Learning · Computer Science 2021-03-12 Ruixuan Luo , Wei Li , Zhiyuan Zhang , Ruihan Bao , Keiko Harimoto , Xu Sun

The clustering of bounded data presents unique challenges in statistical analysis due to the constraints imposed on the data values. This paper introduces a novel method for model-based clustering specifically designed for bounded data.…

Methodology · Statistics 2025-05-16 Luca Scrucca

Multi-view clustering, a long-standing and important research problem, focuses on mining complementary information from diverse views. However, existing works often fuse multiple views' representations or handle clustering in a common…

Computer Vision and Pattern Recognition · Computer Science 2021-12-06 Jie Xu , Yazhou Ren , Huayi Tang , Xiaorong Pu , Xiaofeng Zhu , Ming Zeng , Lifang He

VAEs (Variational AutoEncoders) have proved to be powerful in the context of density modeling and have been used in a variety of contexts for creative purposes. In many settings, the data we model possesses continuous attributes that we…

Machine Learning · Computer Science 2017-07-18 Gaëtan Hadjeres , Frank Nielsen , François Pachet

Deep generative models are commonly used for generating images and text. Interpretability of these models is one important pursuit, other than the generation quality. Variational auto-encoder (VAE) with Gaussian distribution as prior has…

Machine Learning · Computer Science 2020-08-24 Wenxian Shi , Hao Zhou , Ning Miao , Lei Li

Self-supervised disentangled representation learning is a critical task in sequence modeling. The learnt representations contribute to better model interpretability as well as the data generation, and improve the sample efficiency for…

Machine Learning · Computer Science 2021-10-26 Junwen Bai , Weiran Wang , Carla Gomes

Most cluster randomized trials (CRTs) randomize fewer than 30-40 clusters in total. When performing inference for such ``small'' CRTs, it is important to use methods that appropriately account for the small sample size. When the generalized…

Methodology · Statistics 2025-12-01 Shifeng Sun , Xueqi Wang , Zhuoran Hou , Elizabeth L. Turner

The Gaussian process latent variable model (GP-LVM) provides a flexible approach for non-linear dimensionality reduction that has been widely applied. However, the current approach for training GP-LVMs is based on maximum likelihood, where…

Machine Learning · Statistics 2014-09-09 Andreas C. Damianou , Michalis K. Titsias , Neil D. Lawrence

Generative modeling and clustering are conventionally distinct tasks in machine learning. Variational Autoencoders (VAEs) have been widely explored for their ability to integrate both, providing a framework for generative clustering.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Jorge da Silva Gonçalves , Laura Manduchi , Moritz Vandenhirtz , Julia E. Vogt

Disentangled learning representations have promising utility in many applications, but they currently suffer from serious reliability issues. We present Gaussian Channel Autoencoder (GCAE), a method which achieves reliable disentanglement…

Machine Learning · Computer Science 2023-02-10 Eric Yeats , Frank Liu , Hai Li

The simultaneous grouping of rows and columns is an important technique that is increasingly used in large-scale data analysis. In this paper, we present a novel co-clustering method using co-variables in its construction. It is based on a…

Applications · Statistics 2018-12-21 Serge Iovleff , Seydou Syllla , Cheikh Loucoubar

The downfall of many supervised learning algorithms, such as neural networks, is the inherent need for a large amount of training data. Although there is a lot of buzz about big data, there is still the problem of doing classification from…

Machine Learning · Computer Science 2015-09-08 Armen Aghajanyan

Gaussian Process (GP) Variational Autoencoders (VAEs) extend standard VAEs by replacing the fully factorised Gaussian prior with a GP prior, thereby capturing richer correlations among latent variables. However, performing exact GP…

Machine Learning · Computer Science 2025-08-18 Xinxing Shi , Xiaoyu Jiang , Mauricio A. Álvarez

Bayesian analysis methods often use some form of iterative simulation such as Monte Carlo computation. Models that involve discrete variables can sometime pose a challenge, either because the methods used do not support such variables (e.g.…

Methodology · Statistics 2022-09-14 Wen Zhang , Jeffrey Pullin , Lyle Gurrin , Damjan Vukcevic

In searching for continuous gravitational waves over very many ($\approx 10^{17}$) templates , clustering is a powerful tool which increases the search sensitivity by identifying and bundling together candidates that are due to the same…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Banafsheh Beheshtipour , Maria Alessandra Papa

Clustering is a widely used unsupervised learning technique involving an intensive discrete optimization problem. Associative Memory models or AMs are differentiable neural networks defining a recursive dynamical system, which have been…

Machine Learning · Computer Science 2023-06-07 Bishwajit Saha , Dmitry Krotov , Mohammed J. Zaki , Parikshit Ram

To further study the application of waveform relaxation methods in fluid dynamics in actual computation, this paper provides a general theoretical analysis of discrete-time waveform relaxation methods for solving linear DAEs. A class of…

Numerical Analysis · Mathematics 2015-11-05 Xi Yang

We consider model-based clustering methods for continuous, correlated data that account for external information available in the presence of mixed-type fixed covariates by proposing the MoEClust suite of models. These models allow…

Methodology · Statistics 2021-07-15 Keefe Murphy , Thomas Brendan Murphy
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