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We propose a framework for the statistical evaluation of variational auto-encoders (VAEs) and test two instances of this framework in the context of modelling images of handwritten digits and a corpus of English text. Our take on evaluation…

机器学习 · 计算机科学 2022-04-08 Claartje Barkhof , Wilker Aziz

While learning the maximum likelihood value of parameters of an undirected graphical model is hard, modelling the posterior distribution over parameters given data is harder. Yet, undirected models are ubiquitous in computer vision and text…

机器学习 · 计算机科学 2012-07-02 Max Welling , Sridevi Parise

In this paper we consider the estimation of unknown parameters in Bayesian inverse problems. In most cases of practical interest, there are several barriers to performing such estimation, This includes a numerical approximation of a…

统计方法学 · 统计学 2025-02-07 Neil K. Chada , Ajay Jasra , Mohamed Maama , Raul Tempone

Human perception is inherently multimodal. We integrate, for instance, visual, proprioceptive and tactile information into one experience. Hence, multimodal learning is of importance for building robotic systems that aim at robustly…

机器学习 · 计算机科学 2024-11-04 Carlotta Langer , Yasmin Kim Georgie , Ilja Porohovoj , Verena Vanessa Hafner , Nihat Ay

Although unsupervised generative modeling of an image dataset using a Variational AutoEncoder (VAE) has been used to detect anomalous images, or anomalous regions in images, recent works have shown that this method often identifies images…

计算机视觉与模式识别 · 计算机科学 2020-08-13 David Dehaene , Pierre Eline

Due to the intractable partition function, training energy-based models (EBMs) by maximum likelihood requires Markov chain Monte Carlo (MCMC) sampling to approximate the gradient of the Kullback-Leibler divergence between data and model…

机器学习 · 统计学 2021-12-28 Jianwen Xie , Zilong Zheng , Ping Li

Bayesian inverse problems are often computationally challenging when the forward model is governed by complex partial differential equations (PDEs). This is typically caused by expensive forward model evaluations and high-dimensional…

机器学习 · 统计学 2023-02-08 Zhihang Xu , Yingzhi Xia , Qifeng Liao

Variational autoencoders (VAEs) combine latent variables with amortized variational inference, whose optimization usually converges into a trivial local optimum termed posterior collapse, especially in text modeling. By tracking the…

计算与语言 · 计算机科学 2020-04-21 Chen Wu , Prince Zizhuang Wang , William Yang Wang

We consider the problem of learning Variational Autoencoders (VAEs), i.e., a type of deep generative model, from data with missing values. Such data is omnipresent in real-world applications of machine learning because complete data is…

机器学习 · 计算机科学 2023-10-26 Timur Sudak , Sebastian Tschiatschek

Active Learning for discriminative models has largely been studied with the focus on individual samples, with less emphasis on how classes are distributed or which classes are hard to deal with. In this work, we show that this is harmful.…

We present two deep generative models based on Variational Autoencoders to improve the accuracy of drug response prediction. Our models, Perturbation Variational Autoencoder and its semi-supervised extension, Drug Response Variational…

机器学习 · 统计学 2017-07-07 Ladislav Rampasek , Daniel Hidru , Petr Smirnov , Benjamin Haibe-Kains , Anna Goldenberg

In order for agents in multi-agent systems (MAS) to be safe, they need to take into account the risks posed by the actions of other agents. However, the dominant paradigm in game theory (GT) assumes that agents are not affected by risk from…

Bayesian approach, as a useful tool for quantifying uncertainties, has been widely used for solving inverse problems of partial differential equations (PDEs). One of the key difficulties for employing Bayesian approach for the issue is how…

数值分析 · 数学 2026-02-09 Junxiong Jia , Qian Zhao , Zongben Xu , Deyu Meng , Yee Leung

We consider amortized Bayesian inference for nonlinear inverse problems in settings where only samples from the joint distribution of parameters and observations are available. Classical methods such as Markov chain Monte Carlo require…

数值分析 · 数学 2026-05-19 Hojjat Kaveh , Ricardo Baptista , Andrew M. Stuart

In a social system, the self-interest of agents can be detrimental to the collective good, sometimes leading to social dilemmas. To resolve such a conflict, a central designer may intervene by either redesigning the system or incentivizing…

机器学习 · 计算机科学 2020-10-28 Jiayang Li , Jing Yu , Yu Marco Nie , Zhaoran Wang

Current methods for learning graphical models with latent variables and a fixed structure estimate optimal values for the model parameters. Whereas this approach usually produces overfitting and suboptimal generalization performance,…

机器学习 · 计算机科学 2013-01-30 Hagai Attias

We study system design problems stated as parameterized stochastic programs with a chance-constraint set. We adopt a Bayesian approach that requires the computation of a posterior predictive integral which is usually intractable. In…

机器学习 · 统计学 2020-01-07 Prateek Jaiswal , Harsha Honnappa , Vinayak A. Rao

An important challenge in non-cooperative game theory is coordinating on a single (approximate) equilibrium from many possibilities - a challenge that becomes even more complex when players hold private information. Recommender mechanisms…

计算机科学与博弈论 · 计算机科学 2025-05-30 Bengisu Guresti , Chongjie Zhang , Yevgeniy Vorobeychik

Autonomous vehicles must be comprehensively evaluated before deployed in cities and highways. However, most existing evaluation approaches for autonomous vehicles are static and lack adaptability, so they are usually inefficient in…

机器人学 · 计算机科学 2020-11-25 Baiming Chen , Xiang Chen , Wu Qiong , Liang Li

Cooperatively planning for multiple agents has been proposed as a promising method for strategic and motion planning for automated vehicles. By taking into account the intent of every agent, the ego agent can incorporate future interactions…

机器人学 · 计算机科学 2021-10-01 Tobias Kessler , Klemens Esterle , Alois Knoll