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Modelling partial differential equations (PDEs) is of crucial importance in science and engineering, and it includes tasks ranging from forecasting to inverse problems, such as data assimilation. However, most previous numerical and machine…

Abstractive summarization models are commonly trained using maximum likelihood estimation, which assumes a deterministic (one-point) target distribution in which an ideal model will assign all the probability mass to the reference summary.…

Computation and Language · Computer Science 2022-04-01 Yixin Liu , Pengfei Liu , Dragomir Radev , Graham Neubig

Autoregressive models are among the best performing neural density estimators. We describe an approach for increasing the flexibility of an autoregressive model, based on modelling the random numbers that the model uses internally when…

Machine Learning · Statistics 2018-06-15 George Papamakarios , Theo Pavlakou , Iain Murray

Autoregressive image generation has witnessed rapid advancements, with prominent models such as scale-wise visual auto-regression pushing the boundaries of visual synthesis. However, these developments also raise significant concerns…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Hongyao Yu , Yixiang Qiu , Yiheng Yang , Hao Fang , Tianqu Zhuang , Jiaxin Hong , Bin Chen , Hao Wu , Shu-Tao Xia

Mix-based augmentation has been proven fundamental to the generalization of deep vision models. However, current augmentations only mix samples at the current data batch during training, which ignores the possible knowledge accumulated in…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Lingfeng Yang , Xiang Li , Borui Zhao , Renjie Song , Jian Yang

We introduce a new paradigm for AutoRegressive (AR) image generation, termed Set AutoRegressive Modeling (SAR). SAR generalizes the conventional AR to the next-set setting, i.e., splitting the sequence into arbitrary sets containing…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Wenze Liu , Le Zhuo , Yi Xin , Sheng Xia , Peng Gao , Xiangyu Yue

Covariate-adjusted randomization (CAR) can reduce the risk of covariate imbalance and, when accounted for in analysis, increase the power of a trial. Despite CAR advances, stratified randomization remains the most common CAR method. Matched…

Methodology · Statistics 2023-07-13 Jonathan J. Chipman , Lindsay Mayberry , Robert A. Greevy

With the availability of extraordinarily huge data sets, solving the problems of distributed statistical methodology and computing for such data sets has become increasingly crucial in the big data area. In this paper, we focus on the…

Machine Learning · Statistics 2023-10-24 Yue Chao , Lei Huang , Xuejun Ma

Real-world data often exhibits sequential dependence, across diverse domains such as human behavior, medicine, finance, and climate modeling. Probabilistic methods capture the inherent uncertainty associated with prediction in these…

Machine Learning · Statistics 2024-03-08 Alex Boyd

Autoregressive (AR) models, the theoretical performance benchmark for learned lossless image compression, are often dismissed as impractical due to prohibitive computational cost. This work re-thinks this paradigm, introducing a framework…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Daxin Li , Yuanchao Bai , Kai Wang , Wenbo Zhao , Junjun Jiang , Xianming Liu

Given data sampled from a number of variables, one is often interested in the underlying causal relationships in the form of a directed acyclic graph. In the general case, without interventions on some of the variables it is only possible…

Machine Learning · Statistics 2017-12-05 Christopher Nowzohour , Peter Bühlmann

We clarify relationships between conditional (CAR) and simultaneous (SAR) autoregressive models. We review the literature on this topic and find that it is mostly incomplete. Our main result is that a SAR model can be written as a unique…

Statistics Theory · Mathematics 2017-10-20 Jay M. Ver Hoef , Ephraim M. Hanks , Mevin B. Hooten

We propose a multiscale approach to time series autoregression, in which linear regressors for the process in question include features of its own path that live on multiple timescales. We take these multiscale features to be the recent…

Methodology · Statistics 2024-12-17 Rafal Baranowski , Yining Chen , Piotr Fryzlewicz

Diffusion models generate high-quality synthetic data. They operate by defining a continuous-time forward process which gradually adds Gaussian noise to data until fully corrupted. The corresponding reverse process progressively "denoises"…

The perspective of developing trustworthy AI for critical applications in science and engineering requires machine learning techniques that are capable of estimating their own uncertainty. In the context of regression, instead of estimating…

Machine Learning · Computer Science 2026-05-14 Quentin Duchemin , Guillaume Obozinski

Structured Latent Attribute Models (SLAMs) are a family of discrete latent variable models widely used in education, psychology, and epidemiology to model multivariate categorical data. A SLAM assumes that multiple discrete latent…

Methodology · Statistics 2021-07-12 Yuqi Gu , Gongjun Xu

We introduce an adaptive tree search algorithm, that can find high-scoring outputs under translation models that make no assumptions about the form or structure of the search objective. This algorithm -- a deterministic variant of Monte…

Computation and Language · Computer Science 2022-02-24 Wang Ling , Wojciech Stokowiec , Domenic Donato , Laurent Sartran , Lei Yu , Austin Matthews , Chris Dyer

Score-based generative models (SGMs) have demonstrated unparalleled sampling quality and diversity in numerous fields, such as image generation, voice synthesis, and tabular data synthesis, etc. Inspired by those outstanding results, we…

Machine Learning · Computer Science 2025-11-27 Haksoo Lim , Jaehoon Lee , Sewon Park , Minjung Kim , Noseong Park

We propose a new modeling approach that is a generalization of generative and discriminative models. The core idea is to use an implicit parameterization of a joint probability distribution by specifying only the conditional distributions.…

Machine Learning · Computer Science 2016-12-06 Dmitrij Schlesinger , Carsten Rother

We explore the probabilistic foundations of shared control in complex dynamic environments. In order to do this, we formulate shared control as a random process and describe the joint distribution that governs its behavior. For…

Robotics · Computer Science 2015-08-10 Pete Trautman
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