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Autoregressive sequence models based on deep neural networks, such as RNNs, Wavenet and the Transformer attain state-of-the-art results on many tasks. However, they are difficult to parallelize and are thus slow at processing long…

机器学习 · 计算机科学 2018-06-11 Łukasz Kaiser , Aurko Roy , Ashish Vaswani , Niki Parmar , Samy Bengio , Jakob Uszkoreit , Noam Shazeer

An effective approach for sampling from unnormalized densities is based on the idea of gradually transporting samples from an easy prior to the complicated target distribution. Two popular methods are (1) Sequential Monte Carlo (SMC), where…

We solve the generalized Langevin equation driven by a stochastic force with power-law autocorrelation function. A stationary Markov process has been applied as a model of the noise. However, the resulting velocity variance does not…

统计力学 · 物理学 2015-07-22 T. Srokowski

This work studies the problem of modeling visual processes by leveraging deep generative architectures for learning linear, Gaussian representations from observed sequences. We propose a joint learning framework, combining a vector…

神经与进化计算 · 计算机科学 2020-04-13 Alexander Sagel , Hao Shen

It is well known that the Lasso can be interpreted as a Bayesian posterior mode estimate with a Laplacian prior. Obtaining samples from the full posterior distribution, the Bayesian Lasso, confers major advantages in performance as compared…

统计计算 · 统计学 2018-01-09 Marcela Mendoza , Alexis Allegra , Todd P. Coleman

Diffusion models have emerged as a powerful tool for generating high-quality images from textual descriptions. Despite their successes, these models often exhibit limited diversity in the sampled images, particularly when sampling with a…

计算机视觉与模式识别 · 计算机科学 2024-06-03 Jiatao Gu , Ying Shen , Shuangfei Zhai , Yizhe Zhang , Navdeep Jaitly , Joshua M. Susskind

The space time autoregressive model has been widely applied in science, in areas such as economics, public finance, political science, agricultural economics, environmental studies and transportation analyses. The classical space time…

应用统计 · 统计学 2019-05-14 Wenqian Wang , Beth Andrews

Modeling long-term dependencies for audio signals is a particularly challenging problem, as even small-time scales yield on the order of a hundred thousand samples. With the recent advent of Transformers, neural architectures became good at…

声音 · 计算机科学 2024-12-24 Prateek Verma

Sampling from distributions play a crucial role in aiding practitioners with statistical inference. However, in numerous situations, obtaining exact samples from complex distributions is infeasible. Consequently, researchers often turn to…

统计计算 · 统计学 2024-04-01 Riddhiman Bhattacharya , Tiefeng Jiang

Set-based transformer models for amortized probabilistic inference and meta-learning, such as neural processes, prior-fitted networks, and tabular foundation models, excel at single-pass marginal prediction. However, many applications…

We present a novel algorithm for parameter learning in generic deep generative models that builds upon the predictive coding (PC) framework of computational neuroscience. Our approach modifies the standard PC algorithm to bring performance…

机器学习 · 计算机科学 2024-11-19 Umais Zahid , Qinghai Guo , Zafeirios Fountas

Large sample statistical analysis of threshold autoregressive (TAR) models is usually based on the assumption that the underlying driving noise is uncorrelated. In this paper, we consider a model, driven by Gaussian noise with geometric…

统计理论 · 数学 2015-03-19 P. Chigansky , Y. Kutoyants

Conditional visual generation has witnessed remarkable progress with the advent of diffusion models (DMs), especially in tasks like control-to-image generation. However, challenges such as expensive computational cost, high inference…

计算机视觉与模式识别 · 计算机科学 2024-10-03 Xiang Li , Kai Qiu , Hao Chen , Jason Kuen , Zhe Lin , Rita Singh , Bhiksha Raj

Deep generative models have emerged as a powerful class of priors for signals in various inverse problems such as compressed sensing, phase retrieval and super-resolution. Here, we assume an unknown signal to lie in the range of some…

机器学习 · 统计学 2021-02-26 Thanh V. Nguyen , Gauri Jagatap , Chinmay Hegde

Langevin models are frequently used to model various stochastic processes in different fields of natural and social sciences. They are adapted to measured data by estimation techniques such as maximum likelihood estimation, Markov chain…

数据分析、统计与概率 · 物理学 2021-08-04 Clemens Willers , Oliver Kamps

Continuous visual autoregressive (AR) models have demonstrated promising performance in image generation. However, the heavy autoregressive inference burden imposes significant overhead. In Large Language Models (LLMs), speculative decoding…

计算机视觉与模式识别 · 计算机科学 2025-09-30 Zili Wang , Robert Zhang , Kun Ding , Qi Yang , Fei Li , Shiming Xiang

We study a normalizing flow in the latent space of a top-down generator model, in which the normalizing flow model plays the role of the informative prior model of the generator. We propose to jointly learn the latent space normalizing flow…

机器学习 · 统计学 2023-01-24 Jianwen Xie , Yaxuan Zhu , Yifei Xu , Dingcheng Li , Ping Li

Ensemble methods have become ubiquitous for the solution of Bayesian inference problems. State-of-the-art Langevin samplers such as the Ensemble Kalman Sampler (EKS), Affine Invariant Langevin Dynamics (ALDI) or its extension using weighted…

数值分析 · 数学 2022-12-23 Martin Eigel , Robert Gruhlke , David Sommer

Learning the continuous dynamics of a system from snapshots of its temporal marginals is a problem which appears throughout natural sciences and machine learning, including in quantum systems, single-cell biological data, and generative…

机器学习 · 计算机科学 2023-06-12 Kirill Neklyudov , Rob Brekelmans , Daniel Severo , Alireza Makhzani

Bayesian inference allows to obtain useful information on the parameters of models, either in computational statistics or more recently in the context of Bayesian Neural Networks. The computational cost of usual Monte Carlo methods for…

机器学习 · 统计学 2023-03-03 Inass Sekkat , Gabriel Stoltz