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Auto-regressive sequence generative models trained by Maximum Likelihood Estimation suffer the exposure bias problem in practical finite sample scenarios. The crux is that the number of training samples for Maximum Likelihood Estimation is…

Machine Learning · Statistics 2020-07-14 Yuxuan Song , Ning Miao , Hao Zhou , Lantao Yu , Mingxuan Wang , Lei Li

In this paper we are interested in the Maximum Likelihood Estimator (MLE) of the vector parameter of an autoregressive process of order $p$ with regular stationary Gaussian noise. We exhibit the large sample asymptotical properties of the…

Statistics Theory · Mathematics 2013-04-23 Alexandre Brouste , Chunhao Cai , Marina Kleptsyna

Noise Contrastive Estimation (NCE) has fueled major breakthroughs in representation learning and generative modeling. Yet a long-standing challenge remains: accurately estimating ratios between distributions that differ substantially, which…

Autoregressive models are typically applied to sequences of discrete tokens, but recent research indicates that generating sequences of continuous embeddings in an autoregressive manner is also feasible. However, such Continuous…

Machine Learning · Computer Science 2024-11-28 Marco Pasini , Javier Nistal , Stefan Lattner , George Fazekas

A Maximum Likelihood recursive state estimator is derived for non-linear and non-Gaussian state-space models. The estimator combines a particle filter to generate the conditional density and the Expectation Maximization algorithm to compute…

Methodology · Statistics 2021-03-22 Mohammad S. Ramadan , Robert R. Bitmead

Autoregressive generative models of images tend to be biased towards capturing local structure, and as a result they often produce samples which are lacking in terms of large-scale coherence. To address this, we propose two methods to learn…

Computer Vision and Pattern Recognition · Computer Science 2019-10-09 Jeffrey De Fauw , Sander Dieleman , Karen Simonyan

We advocate for a practical Maximum Likelihood Estimation (MLE) approach towards designing loss functions for regression and forecasting, as an alternative to the typical approach of direct empirical risk minimization on a specific target…

Machine Learning · Statistics 2021-10-12 Pranjal Awasthi , Abhimanyu Das , Rajat Sen , Ananda Theertha Suresh

Autoregressive generative models consistently achieve the best results in density estimation tasks involving high dimensional data, such as images or audio. They pose density estimation as a sequence modeling task, where a recurrent neural…

Machine Learning · Computer Science 2017-12-29 Xi Chen , Nikhil Mishra , Mostafa Rohaninejad , Pieter Abbeel

We consider maximum likelihood estimation for both causal and noncausal autoregressive time series processes with non-Gaussian $\alpha$-stable noise. A nondegenerate limiting distribution is given for maximum likelihood estimators of the…

Statistics Theory · Mathematics 2009-08-14 Beth Andrews , Matthew Calder , Richard A. Davis

In this work, we explore the theoretical properties of conditional deep generative models under the statistical framework of distribution regression where the response variable lies in a high-dimensional ambient space but concentrates…

Statistics Theory · Mathematics 2026-02-02 Shivam Kumar , Yun Yang , Lizhen Lin

While autoregressive models excel at image compression, their sample quality is often lacking. Although not realistic, generated images often have high likelihood according to the model, resembling the case of adversarial examples. Inspired…

Machine Learning · Computer Science 2021-03-30 Chenlin Meng , Jiaming Song , Yang Song , Shengjia Zhao , Stefano Ermon

Maximum likelihood estimation (MLE) is a statistical method used to estimate the parameters of a probability distribution that best explain the observed data. In the context of text generation, MLE is often used to train generative language…

Computation and Language · Computer Science 2023-10-27 Chenze Shao , Zhengrui Ma , Min Zhang , Yang Feng

A persistent challenge in conditional image synthesis has been to generate diverse output images from the same input image despite only one output image being observed per input image. GAN-based methods are prone to mode collapse, which…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 Shichong Peng , Alireza Moazeni , Ke Li

Deep generative models such as GANs have driven impressive advances in conditional image synthesis in recent years. A persistent challenge has been to generate diverse versions of output images from the same input image, due to the problem…

Computer Vision and Pattern Recognition · Computer Science 2021-06-18 Shichong Peng , Alireza Moazeni , Ke Li

Estimating the frequencies of multiple sinusoids in the presence of AWGN and when the data record is short is commonly accomplished by subspace-based methods such as ESPRIT, MUSIC, Min-Norm, etc. These methods do not assume that the data…

Signal Processing · Electrical Eng. & Systems 2020-08-31 P. Vishnu , C. S. Ramalingam

While energy-based models (EBMs) exhibit a number of desirable properties, training and sampling on high-dimensional datasets remains challenging. Inspired by recent progress on diffusion probabilistic models, we present a diffusion…

Machine Learning · Computer Science 2021-03-30 Ruiqi Gao , Yang Song , Ben Poole , Ying Nian Wu , Diederik P. Kingma

Many tasks in computer vision and graphics fall within the framework of conditional image synthesis. In recent years, generative adversarial nets (GANs) have delivered impressive advances in quality of synthesized images. However, it…

Computer Vision and Pattern Recognition · Computer Science 2020-04-09 Ke Li , Shichong Peng , Tianhao Zhang , Jitendra Malik

In supervised learning, automatically assessing the quality of the labels before any learning takes place remains an open research question. In certain particular cases, hypothesis testing procedures have been proposed to assess whether a…

Machine Learning · Computer Science 2023-12-19 Weisong Yang , Rafael Poyiadzi , Niall Twomey , Raul Santos Rodriguez

We present a reconstruction method involving maximum-likelihood expectation maximization (MLEM) to model Poisson noise as applied to fluorescence molecular tomography (FMT). MLEM is initialized with the output from a sparse…

Medical Physics · Physics 2018-04-03 Yansong Zhu , Abhinav K. Jha , Dean F. Wong , Arman Rahmim

Large language and music models are increasingly used for constrained generation: rhyming lines, fixed meter, inpainting or infilling, positional endings, and other global form requirements. These systems often perform strikingly well, but…

Artificial Intelligence · Computer Science 2026-04-10 Francois Pachet , Pierre Roy
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