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Understanding brain function represents a fundamental goal in neuroscience, with critical implications for therapeutic interventions and neural engineering applications. Computational modeling provides a quantitative framework for…

Machine Learning · Computer Science 2025-11-25 Ningling Ge , Sicheng Dai , Yu Zhu , Shan Yu

Autoregressive (AR) models remain widely used in time series analysis due to their interpretability, but convencional parameter estimation methods can be computationally expensive and prone to convergence issues. This paper proposes a…

Machine Learning · Statistics 2026-03-20 Anaísa Lucena , Ana Martins , Armando J. Pinho , Sónia Gouveia

Training normalizing flow generative models can be challenging due to the need to calculate computationally expensive determinants of Jacobians. This paper studies the likelihood-free training of flows and proposes the energy objective, an…

Machine Learning · Computer Science 2023-06-26 Phillip Si , Zeyi Chen , Subham Sekhar Sahoo , Yair Schiff , Volodymyr Kuleshov

We present TraDE, a self-attention-based architecture for auto-regressive density estimation with continuous and discrete valued data. Our model is trained using a penalized maximum likelihood objective, which ensures that samples from the…

Machine Learning · Computer Science 2020-10-16 Rasool Fakoor , Pratik Chaudhari , Jonas Mueller , Alexander J. Smola

Generative modeling of high-dimensional data is a key problem in machine learning. Successful approaches include latent variable models and autoregressive models. The complementary strengths of these approaches, to model global and local…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Thomas Lucas , Jakob Verbeek

Autoencoder reconstructions are widely used for the task of unsupervised anomaly localization. Indeed, an autoencoder trained on normal data is expected to only be able to reconstruct normal features of the data, allowing the segmentation…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 David Dehaene , Oriel Frigo , Sébastien Combrexelle , Pierre Eline

In recent years, machine learning models, chiefly deep neural networks, have revealed suited to learn accurate energy-density functionals from data. However, problematic instabilities have been shown to occur in the search of ground-state…

Computational Physics · Physics 2024-09-26 Emanuele Costa , Giuseppe Scriva , Sebastiano Pilati

We present a method for feature interpretation that makes use of recent advances in autoregressive density estimation models to invert model representations. We train generative inversion models to express a distribution over input features…

Machine Learning · Statistics 2019-01-03 Charlie Nash , Nate Kushman , Christopher K. I. Williams

We propose a general framework for solving statistical mechanics of systems with finite size. The approach extends the celebrated variational mean-field approaches using autoregressive neural networks, which support direct sampling and…

Statistical Mechanics · Physics 2019-06-10 Dian Wu , Lei Wang , Pan Zhang

Autoregressive models use chain rule to define a joint probability distribution as a product of conditionals. These conditionals need to be normalized, imposing constraints on the functional families that can be used. To increase…

Machine Learning · Computer Science 2020-10-27 Chenlin Meng , Lantao Yu , Yang Song , Jiaming Song , Stefano Ermon

Machine-learned regression models represent a promising tool to implement accurate and computationally affordable energy-density functionals to solve quantum many-body problems via density functional theory. However, while they can easily…

Computational Physics · Physics 2022-11-08 Emanuele Costa , Giuseppe Scriva , Rosario Fazio , Sebastiano Pilati

This work introduces a novel approach for the joint selection of model structure and parameter learning for nonlinear dynamical systems identification. Focusing on a specific Recurrent Neural Networks (RNNs) family, i.e., Nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Corrado Sgadari , Alessio La Bella , Marcello Farina

In recent years, deep learning has proven to be a viable methodology for surrogate modeling and uncertainty quantification for a vast number of physical systems. However, in their traditional form, such models can require a large amount of…

Computational Physics · Physics 2019-12-04 Nicholas Geneva , Nicholas Zabaras

Density estimation, which estimates the distribution of data, is an important category of probabilistic machine learning. A family of density estimators is mixture models, such as Gaussian Mixture Model (GMM) by expectation maximization.…

Machine Learning · Statistics 2023-10-18 Benyamin Ghojogh , Milad Amir Toutounchian

Vector autoregressive models characterize a variety of time series in which linear combinations of current and past observations can be used to accurately predict future observations. For instance, each element of an observation vector…

Machine Learning · Statistics 2017-06-27 Eric C. Hall , Garvesh Raskutti , Rebecca Willett

In the present work, a machine learning based constitutive model for electro-mechanically coupled material behavior at finite deformations is proposed. Using different sets of invariants as inputs, an internal energy density is formulated…

Computational Engineering, Finance, and Science · Computer Science 2022-08-30 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

Novelty detection is commonly referred to as the discrimination of observations that do not conform to a learned model of regularity. Despite its importance in different application settings, designing a novelty detector is utterly complex…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Davide Abati , Angelo Porrello , Simone Calderara , Rita Cucchiara

Modeling distributions of covariates, or density estimation, is a core challenge in unsupervised learning. However, the majority of work only considers the joint distribution, which has limited utility in practical situations. A more…

Machine Learning · Computer Science 2021-10-28 Ryan R. Strauss , Junier B. Oliva

We propose an autoregressive framework for modelling dynamic networks with dependent edges. It encompasses models that accommodate, for example, transitivity, degree heterogenenity, and other stylized features often observed in real network…

Statistics Theory · Mathematics 2026-03-25 Jinyuan Chang , Qin Fang , Eric D. Kolaczyk , Peter W. MacDonald , Qiwei Yao

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