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In this paper, we propose the "adversarial autoencoder" (AAE), which is a probabilistic autoencoder that uses the recently proposed generative adversarial networks (GAN) to perform variational inference by matching the aggregated posterior…

Machine Learning · Computer Science 2016-05-26 Alireza Makhzani , Jonathon Shlens , Navdeep Jaitly , Ian Goodfellow , Brendan Frey

Data assimilation refers to a set of algorithms designed to compute the optimal estimate of a system's state by refining the prior prediction (known as background states) using observed data. Variational assimilation methods rely on the…

Machine Learning · Computer Science 2024-05-24 Yi Xiao , Qilong Jia , Wei Xue , Lei Bai

We analyse and explain the increased generalisation performance of iterate averaging using a Gaussian process perturbation model between the true and batch risk surface on the high dimensional quadratic. We derive three phenomena…

Machine Learning · Statistics 2021-11-02 Diego Granziol , Xingchen Wan , Samuel Albanie , Stephen Roberts

We propose an algorithm, guided variational autoencoder (Guided-VAE), that is able to learn a controllable generative model by performing latent representation disentanglement learning. The learning objective is achieved by providing…

Computer Vision and Pattern Recognition · Computer Science 2020-04-06 Zheng Ding , Yifan Xu , Weijian Xu , Gaurav Parmar , Yang Yang , Max Welling , Zhuowen Tu

In modern statistics, interests shift from pursuing the uniformly minimum variance unbiased estimator to reducing mean squared error (MSE) or residual squared error. Shrinkage based estimation and regression methods offer better prediction…

Methodology · Statistics 2025-02-25 Tianyu Zhan , Haoda Fu , Jian Kang

Recent advances in reasoning with large language models (LLMs) have shown the effectiveness of Monte Carlo Tree Search (MCTS) for generating high quality intermediate trajectories, particularly in math and symbolic domains. Inspired by…

Artificial Intelligence · Computer Science 2025-12-23 Bingning Huang , Tu Nguyen , Matthieu Zimmer

Conventional Reinforcement Learning (RL) algorithms, typically focused on estimating or maximizing expected returns, face challenges when refining offline pretrained models with online experiences. This paper introduces Generative Actor…

Machine Learning · Computer Science 2025-12-29 Aoyang Qin , Deqian Kong , Wei Wang , Ying Nian Wu , Song-Chun Zhu , Sirui Xie

Gaussian variational approximation is a popular methodology to approximate posterior distributions in Bayesian inference especially in high dimensional and large data settings. To control the computational cost while being able to capture…

Machine Learning · Computer Science 2021-04-07 Bingxin Zhou , Junbin Gao , Minh-Ngoc Tran , Richard Gerlach

Variational Auto-encoders (VAEs) have been very successful as methods for forming compressed latent representations of complex, often high-dimensional, data. In this paper, we derive an alternative variational lower bound from the one…

Machine Learning · Computer Science 2019-03-20 Shuyu Lin , Ronald Clark , Robert Birke , Niki Trigoni , Stephen Roberts

Longitudinal datasets measured repeatedly over time from individual subjects, arise in many biomedical, psychological, social, and other studies. A common approach to analyse high-dimensional data that contains missing values is to learn a…

Machine Learning · Statistics 2021-04-21 Siddharth Ramchandran , Gleb Tikhonov , Kalle Kujanpää , Miika Koskinen , Harri Lähdesmäki

A novel efficient method for computing the Knowledge-Gradient policy for Continuous Parameters (KGCP) for deterministic optimization is derived. The differences with Expected Improvement (EI), a popular choice for Bayesian optimization of…

Computational Engineering, Finance, and Science · Computer Science 2016-08-17 Joachim van der Herten , Ivo Couckuyt , Dirk Deschrijver , Tom Dhaene

General Value Functions (GVFs) (Sutton et al., 2011) represent predictive knowledge in reinforcement learning. Each GVF computes the expected return for a given policy, based on a unique reward. Existing methods relying on fixed behavior…

Machine Learning · Computer Science 2024-10-15 Arushi Jain , Josiah P. Hanna , Doina Precup

Reinforcement learning provides a mathematical framework for learning-based control, whose success largely depends on the amount of data it can utilize. The efficient utilization of historical trajectories obtained from previous policies is…

Machine Learning · Computer Science 2025-03-06 Yifan Lin , Yuhao Wang , Enlu Zhou

Policy gradient based reinforcement learning algorithms coupled with neural networks have shown success in learning complex policies in the model free continuous action space control setting. However, explicitly parameterized policies are…

Machine Learning · Computer Science 2019-09-30 Oliver Richter , Roger Wattenhofer

This paper considers the general $f$-divergence formulation of bidirectional generative modeling, which includes VAE and BiGAN as special cases. We present a new optimization method for this formulation, where the gradient is computed using…

Machine Learning · Computer Science 2020-07-01 Xinwei Shen , Tong Zhang , Kani Chen

Single-parameter summaries of variable effects in regression settings are desirable for ease of interpretation. However (partially) linear models for example, which would deliver these, may fit poorly to the data. On the other hand, an…

Statistics Theory · Mathematics 2025-07-28 Harvey Klyne , Rajen D. Shah

This paper introduces a novel family of generalized exponentiated gradient (EG) updates derived from an Alpha-Beta divergence regularization function. Collectively referred to as EGAB, the proposed updates belong to the category of…

Machine Learning · Computer Science 2024-12-30 Andrzej Cichocki , Sergio Cruces , Auxiliadora Sarmiento , Toshihisa Tanaka

We derive a novel variational expectation maximization approach based on truncated posterior distributions. Truncated distributions are proportional to exact posteriors within subsets of a discrete state space and equal zero otherwise. The…

Machine Learning · Statistics 2019-07-12 Jörg Lücke

We provide theoretical and empirical evidence that using tighter evidence lower bounds (ELBOs) can be detrimental to the process of learning an inference network by reducing the signal-to-noise ratio of the gradient estimator. Our results…

Machine Learning · Statistics 2019-03-07 Tom Rainforth , Adam R. Kosiorek , Tuan Anh Le , Chris J. Maddison , Maximilian Igl , Frank Wood , Yee Whye Teh

When a Genetic Algorithm (GA), or a stochastic algorithm in general, is employed in a statistical problem, the obtained result is affected by both variability due to sampling, that refers to the fact that only a sample is observed, and…

Computation · Statistics 2019-03-07 Manuel Rizzo , Francesco Battaglia
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