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Neural-network-based variational quantum states in general, and more recently autoregressive models in particular, have proven to be powerful tools to describe complex many-body wave functions. However, their performance crucially depends…

强关联电子 · 物理学 2025-12-02 João Augusto Sobral , Michael Perle , Mathias S. Scheurer

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…

The variational autoregressive network is extended to the Euclidean path integral representation of quantum partition function. An essential challenge is adapting the sequential process of sample generation by an autoregressive network to a…

统计力学 · 物理学 2021-09-14 Zhifang Shi , Yuchuang Cao , Qiangqiang Gu , Ji Feng

Machine learning has emerged recently as a powerful tool for predicting properties of quantum many-body systems. For many ground states of gapped Hamiltonians, generative models can learn from measurements of a single quantum state to…

量子物理 · 物理学 2024-03-05 Haoxiang Wang , Maurice Weber , Josh Izaac , Cedric Yen-Yu Lin

We introduce a new class of conditional autoregressive models for spatially dependent functional data, formulated through conditional means given neighboring functional observations and characterized by a covariance operator and a spatial…

统计方法学 · 统计学 2026-05-22 Sooran Kim

Modeling the joint distribution of high-dimensional data is a central task in unsupervised machine learning. In recent years, many interests have been attracted to developing learning models based on tensor networks, which have the…

统计力学 · 物理学 2023-02-02 Jing Liu , Sujie Li , Jiang Zhang , Pan Zhang

Motivated by the application to German interest rates, we propose a timevarying autoregressive model for short and long term prediction of time series that exhibit a temporary non-stationary behavior but are assumed to mean revert in the…

统计方法学 · 统计学 2021-02-23 Christoph Berninger , Almond Stöcker , David Rügamer

Autoregressive models are ubiquitous tools for the analysis of time series in many domains such as computational neuroscience and biomedical engineering. In these domains, data is, for example, collected from measurements of brain activity.…

信号处理 · 电气工程与系统科学 2023-05-02 Jonas F. Haderlein , Andre D. H. Peterson , Anthony N. Burkitt , Iven M. Y. Mareels , David B. Grayden

The optimal predictor for a linear dynamical system (with hidden state and Gaussian noise) takes the form of an autoregressive linear filter, namely the Kalman filter. However, a fundamental problem in reinforcement learning and control…

机器学习 · 计算机科学 2019-05-27 Holden Lee , Cyril Zhang

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…

计算机视觉与模式识别 · 计算机科学 2019-10-09 Jeffrey De Fauw , Sander Dieleman , Karen Simonyan

We investigate variational learning of quantum many-body ground states directly in measurement space using autoregressive neural networks. In particular, we represent quantum states via probability distributions of outcomes over a symmetric…

量子物理 · 物理学 2026-05-29 Kartiek Agarwal

Stochastic processes generated by non-stationary distributions are difficult to represent with conventional models such as Gaussian processes. This work presents Recurrent Autoregressive Flows as a method toward general stochastic process…

机器学习 · 计算机科学 2020-06-20 John Mern , Peter Morales , Mykel J. Kochenderfer

We propose a hybrid variational framework that enhances Neural Quantum States (NQS) with a Normalising Flow-based sampler to improve the expressivity and trainability of quantum many-body wavefunctions. Our approach decouples the sampling…

量子物理 · 物理学 2025-06-17 Vishal S. Ngairangbam , Michael Spannowsky , Timur Sypchenko

Autoregressive decoding is the only part of sequence-to-sequence models that prevents them from massive parallelization at inference time. Non-autoregressive models enable the decoder to generate all output symbols independently in…

计算与语言 · 计算机科学 2018-11-13 Jindřich Libovický , Jindřich Helcl

In recent years, neural network quantum states (NNQS) have emerged as powerful tools for the study of quantum many-body systems. Electronic structure calculations are one such canonical many-body problem that have attracted significant…

化学物理 · 物理学 2022-01-27 Thomas D. Barrett , Aleksei Malyshev , A. I. Lvovsky

The paper develops a general flexible framework for Network Autoregressive Processes (NAR), wherein the response of each node linearly depends on its past values, a prespecified linear combination of neighboring nodes and a set of…

统计方法学 · 统计学 2021-10-20 Hang Yin , Abolfazl Safikhani , George Michailidis

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…

机器学习 · 计算机科学 2020-06-03 Loren Lugosch , Derek Nowrouzezahrai , Brett H. Meyer

Transformers trained on huge text corpora exhibit a remarkable set of capabilities, e.g., performing basic arithmetic. Given the inherent compositional nature of language, one can expect the model to learn to compose these capabilities,…

机器学习 · 计算机科学 2024-02-07 Rahul Ramesh , Ekdeep Singh Lubana , Mikail Khona , Robert P. Dick , Hidenori Tanaka

Many financial time series have varying structures at different quantile levels, and also exhibit the phenomenon of conditional heteroscedasticity at the same time. In the meanwhile, it is still lack of a time series model to accommodate…

统计理论 · 数学 2020-12-29 Qianqian Zhu , Guodong Li

This article discusses a partially adapted particle filter for estimating the likelihood of a nonlinear structural econometric state space models whose state transition density cannot be expressed in closed form. The filter generates the…

统计方法学 · 统计学 2012-09-05 Jamie Hall , Michael K. Pitt , Robert Kohn