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Score-based diffusion models synthesize samples by reversing a stochastic process that diffuses data to noise, and are trained by minimizing a weighted combination of score matching losses. The log-likelihood of score-based diffusion models…

Machine Learning · Statistics 2021-10-22 Yang Song , Conor Durkan , Iain Murray , Stefano Ermon

The standard paradigm of neural language generation adopts maximum likelihood estimation (MLE) as the optimizing method. From a distributional view, MLE in fact minimizes the Kullback-Leibler divergence (KLD) between the distribution of the…

Computation and Language · Computer Science 2023-02-28 Haozhe Ji , Pei Ke , Zhipeng Hu , Rongsheng Zhang , Minlie Huang

Accurate noise estimation is essential for fault-tolerant quantum computing, as decoding performance depends critically on the fidelity of the circuit-level noise parameters. In this work, we introduce a differentiable Maximum Likelihood…

Quantum Physics · Physics 2026-02-24 Hanyan Cao , Dongyang Feng , Cheng Ye , Feng Pan

Data augmentation is a valuable tool for the design of deep learning systems to overcome data limitations and stabilize the training process. Especially in the medical domain, where the collection of large-scale data sets is challenging and…

Machine Learning · Computer Science 2025-02-11 Mane Margaryan , Matthias Seibold , Indu Joshi , Mazda Farshad , Philipp Fürnstahl , Nassir Navab

Autoregressive models are widely used for tasks such as image and audio generation. The sampling process of these models, however, does not allow interruptions and cannot adapt to real-time computational resources. This challenge impedes…

Machine Learning · Computer Science 2021-02-24 Yilun Xu , Yang Song , Sahaj Garg , Linyuan Gong , Rui Shu , Aditya Grover , Stefano Ermon

Maximum-likelihood (ML) decoding can be used to obtain the optimal performance of error correction codes. However, the size of the search space and consequently the decoding complexity grows exponentially, making it impractical to be…

Information Theory · Computer Science 2022-05-25 Mohammad Rowshan , Jinhong Yuan

Generative models that maximize model likelihood have gained traction in many practical settings. Among them, perturbation based approaches underpin many strong likelihood estimation models, yet they often face slow convergence and limited…

Information Theory · Computer Science 2025-10-27 Yirong Shen , Lu Gan , Cong Ling

We introduce a new metric to assess the quality of generated images that is more reliable, data-efficient, compute-efficient, and adaptable to new domains than the previous metrics, such as Fr\'echet Inception Distance (FID). The proposed…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Pranav Jeevan , Neeraj Nixon , Amit Sethi

We revisit the classical problem of deriving convergence rates for the maximum likelihood estimator (MLE) in finite mixture models. The Wasserstein distance has become a standard loss function for the analysis of parameter estimation in…

Statistics Theory · Mathematics 2022-06-22 Tudor Manole , Nhat Ho

Much of the theory of estimation for exponential family models, which include exponential-family random graph models (ERGMs) as a special case, is well-established and maximum likelihood estimates in particular enjoy many desirable…

Computation · Statistics 2020-09-07 Christian S. Schmid , David R. Hunter

An emerging area of research aims to learn deep generative models with limited training data. Prior generative models like GANs and diffusion models require a lot of data to perform well, and their performance degrades when they are trained…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Chirag Vashist , Shichong Peng , Ke Li

We introduce LlamaGen, a new family of image generation models that apply original ``next-token prediction'' paradigm of large language models to visual generation domain. It is an affirmative answer to whether vanilla autoregressive…

Computer Vision and Pattern Recognition · Computer Science 2024-06-11 Peize Sun , Yi Jiang , Shoufa Chen , Shilong Zhang , Bingyue Peng , Ping Luo , Zehuan Yuan

Anomaly estimation, or the problem of finding a subset of a dataset that differs from the rest of the dataset, is a classic problem in machine learning and data mining. In both theoretical work and in applications, the anomaly is assumed to…

Machine Learning · Computer Science 2021-06-14 Uthsav Chitra , Kimberly Ding , Jasper C. H. Lee , Benjamin J. Raphael

We study maximum likelihood estimation (MLE) in the generalized group orbit recovery model, where each observation is generated by applying a random group action and a known, fixed linear operator to an unknown signal, followed by additive…

Statistics Theory · Mathematics 2025-09-30 Sheng Xu , Anderson Ye Zhang , Amit Singer

Two recently introduced criteria for estimation of generative models are both based on a reduction to binary classification. Noise-contrastive estimation (NCE) is an estimation procedure in which a generative model is trained to be able to…

Machine Learning · Statistics 2015-05-22 Ian J. Goodfellow

The denoising process of diffusion models can be interpreted as an approximate projection of noisy samples onto the data manifold. Moreover, the noise level in these samples approximates their distance to the underlying manifold. Building…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Abulikemu Abuduweili , Chenyang Yuan , Changliu Liu , Frank Permenter

This work studies the class of algorithms for learning with side-information that emerge by extending generative models with embedded context-related variables. Using finite mixture models (FMM) as the prototypical Bayesian network, we show…

Machine Learning · Statistics 2020-08-17 Serafeim Perdikis , Robert Leeb , Ricardo Chavarriaga , José del R. Millán

Autoregressive neural network models have been used successfully for sequence generation, feature extraction, and hypothesis scoring. This paper presents yet another use for these models: allocating more computation to more difficult…

Machine Learning · Computer Science 2020-06-03 Loren Lugosch , Derek Nowrouzezahrai , Brett H. Meyer

Efficient estimation methods for simultaneous autoregressive (SAR) models with missing data in the response variable have been well-explored in the literature. A common practice is to introduce measurement error into SAR models to separate…

Methodology · Statistics 2024-10-10 Anjana Wijayawardhana , Thomas Suesse , David Gunawan

Combining discrete probability distributions and combinatorial optimization problems with neural network components has numerous applications but poses several challenges. We propose Implicit Maximum Likelihood Estimation (I-MLE), a…

Machine Learning · Computer Science 2021-10-28 Mathias Niepert , Pasquale Minervini , Luca Franceschi