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Variational inference is becoming more and more popular for approximating intractable posterior distributions in Bayesian statistics and machine learning. Meanwhile, a few recent works have provided theoretical justification and new…

Statistics Theory · Mathematics 2019-09-09 Badr-Eddine Chérief-Abdellatif

Even though Variational Autoencoders (VAEs) are widely used for semi-supervised learning, the reason why they work remains unclear. In fact, the addition of the unsupervised objective is most often vaguely described as a regularization. The…

Machine Learning · Computer Science 2020-10-15 Ghazi Felhi , Joseph Leroux , Djamé Seddah

This paper reviews the novel concept of controllable variational autoencoder (ControlVAE), discusses its parameter tuning to meet application needs, derives its key analytic properties, and offers useful extensions and applications.…

Machine Learning · Computer Science 2020-11-04 Huajie Shao , Zhisheng Xiao , Shuochao Yao , Aston Zhang , Shengzhong Liu , Tarek Abdelzaher

This paper discovers that the neural network with lower decision boundary (DB) variability has better generalizability. Two new notions, algorithm DB variability and $(\epsilon, \eta)$-data DB variability, are proposed to measure the…

Machine Learning · Computer Science 2023-12-27 Shiye Lei , Fengxiang He , Yancheng Yuan , Dacheng Tao

In this paper, an unsupervised deep learning framework based on dual-path model-driven variational auto-encoders (VAE) is proposed for angle-of-arrivals (AoAs) and channel estimation in massive MIMO systems. Specifically designed for…

Signal Processing · Electrical Eng. & Systems 2023-05-31 Zhiheng Guo , Yuanzhang Xiao , Xiang Chen

Low-rank adaptation (LoRA) is a widely used method for parameter-efficient finetuning. However, existing LoRA variants lack mechanisms to explicitly disambiguate task-relevant information within the learned low-rank subspace, potentially…

Machine Learning · Computer Science 2025-10-23 Shashi Kumar , Yacouba Kaloga , John Mitros , Petr Motlicek , Ina Kodrasi

Machine learning methods often need a large amount of labeled training data. Since the training data is assumed to be the ground truth, outliers can severely degrade learned representations and performance of trained models. Here we apply…

Machine Learning · Statistics 2019-12-24 Haleh Akrami , Anand A. Joshi , Jian Li , Sergul Aydore , Richard M. Leahy

The recently proposed Thermodynamic Variational Objective (TVO) leverages thermodynamic integration to provide a family of variational inference objectives, which both tighten and generalize the ubiquitous Evidence Lower Bound (ELBO).…

Machine Learning · Computer Science 2020-07-02 Rob Brekelmans , Vaden Masrani , Frank Wood , Greg Ver Steeg , Aram Galstyan

Training deep neural networks with noise and data heterogeneity is a major challenge. We introduce Lightweight Learnable Adaptive Weighting (LiLAW), a method that dynamically adjusts the loss weight of each training sample based on its…

Machine Learning · Computer Science 2026-05-14 Abhishek Moturu , Muhammad Muzammil , Anna Goldenberg , Babak Taati

One of the challenges in training generative models such as the variational auto encoder (VAE) is avoiding posterior collapse. When the generator has too much capacity, it is prone to ignoring latent code. This problem is exacerbated when…

Machine Learning · Computer Science 2019-10-30 Talip Ucar

Variational Autoencoders (VAEs) are expressive latent variable models that can be used to learn complex probability distributions from training data. However, the quality of the resulting model crucially relies on the expressiveness of the…

Machine Learning · Computer Science 2018-06-12 Lars Mescheder , Sebastian Nowozin , Andreas Geiger

In Bayesian machine learning, the posterior distribution is typically computationally intractable, hence variational inference is often required. In this approach, an evidence lower bound on the log likelihood of data is maximized during…

Machine Learning · Computer Science 2019-07-23 Stephen Odaibo

In large-scale classification problems, the data set always be faced with frequent updates when a part of the data is added to or removed from the original data set. In this case, conventional incremental learning, which updates an existing…

Machine Learning · Computer Science 2021-01-15 Kaichen Zhou , Shiji Song , Gao Huang , Wu Cheng , Quan Zhou

Unsupervised and semi-supervised ML methods such as variational autoencoders (VAE) have become widely adopted across multiple areas of physics, chemistry, and materials sciences due to their capability in disentangling representations and…

Machine Learning · Computer Science 2022-07-04 Arpan Biswas , Rama Vasudevan , Maxim Ziatdinov , Sergei V. Kalinin

Variational Autoencoders (VAEs) are a popular framework for unsupervised learning and data generation. A plethora of methods have been proposed focusing on improving VAEs, with the incorporation of adversarial objectives and the integration…

Machine Learning · Computer Science 2025-06-05 Ioannis Athanasiadis , Fredrik Lindsten , Michael Felsberg

We propose a new family of optimization criteria for variational auto-encoding models, generalizing the standard evidence lower bound. We provide conditions under which they recover the data distribution and learn latent features, and…

Machine Learning · Computer Science 2017-03-01 Shengjia Zhao , Jiaming Song , Stefano Ermon

Representation learning for high-dimensional, complex physical systems aims to identify a low-dimensional intrinsic latent space, which is crucial for reduced-order modeling and modal analysis. To overcome the well-known Kolmogorov barrier,…

Machine Learning · Computer Science 2025-11-07 Nithin Somasekharan , Shaowu Pan

We introduce a variational reasoning framework for language models that treats thinking traces as latent variables and optimizes them through variational inference. Starting from the evidence lower bound (ELBO), we extend it to a…

Computation and Language · Computer Science 2025-10-16 Xiangxin Zhou , Zichen Liu , Haonan Wang , Chao Du , Min Lin , Chongxuan Li , Liang Wang , Tianyu Pang

We study the performance of estimators of a sparse nonrandom vector based on an observation which is linearly transformed and corrupted by additive white Gaussian noise. Using the reproducing kernel Hilbert space framework, we derive a new…

Statistics Theory · Mathematics 2010-09-20 Sebastian Schmutzhard , Alexander Jung , Franz Hlawatsch , Zvika Ben-Haim , Yonina C. Eldar

Variational autoencoders (VAEs) are popular likelihood-based generative models which can be efficiently trained by maximizing an Evidence Lower Bound (ELBO). There has been much progress in improving the expressiveness of the variational…

Machine Learning · Statistics 2023-08-29 Marcel Hirt , Vasileios Kreouzis , Petros Dellaportas
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