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Inferring the parameters of a stochastic model based on experimental observations is central to the scientific method. A particularly challenging setting is when the model is strongly indeterminate, i.e. when distinct sets of parameters…

机器学习 · 统计学 2021-11-10 Pedro L. C. Rodrigues , Thomas Moreau , Gilles Louppe , Alexandre Gramfort

Signal-to-noise ratios (SNR) play a crucial role in various statistical models, with important applications in tasks such as estimating heritability in genomics. The method-of-moments estimator is a widely used approach for estimating SNR,…

统计理论 · 数学 2025-06-13 Xiaohan Hu , Zhentao Li , Xiaodong Li

Recent advances in neural density estimation have enabled powerful simulation-based inference (SBI) methods that can flexibly approximate Bayesian inference for intractable stochastic models. Although these methods have demonstrated…

机器学习 · 统计学 2025-12-17 Matthew O'Callaghan , Kaisey S. Mandel , Gerry Gilmore

Amortized Bayesian inference trains neural networks to solve stochastic inference problems using model simulations, thereby making it possible to rapidly perform Bayesian inference for any newly observed data. However, current…

机器学习 · 计算机科学 2024-07-16 Manuel Gloeckler , Michael Deistler , Christian Weilbach , Frank Wood , Jakob H. Macke

When a statistical model $\{P_{\theta} : \theta \in \Theta\}$ lacks analytically tractable likelihoods, parametric statistical inference based on data generated from an unknown underlying distribution $P$ can still be performed as long as…

统计方法学 · 统计学 2026-05-19 Peter Matthew Jacobs , Lekha Patel , Anirban Bhattacharya , Debdeep Pati

Simulation-based inference (SBI) is the preferred framework for estimating parameters of intractable models in science and engineering. A significant challenge in this context is the large computational cost of simulating data from complex…

机器学习 · 统计学 2025-02-18 Ayush Bharti , Daolang Huang , Samuel Kaski , François-Xavier Briol

Prediction algorithms, such as deep neural networks (DNNs), are used in many domain sciences to directly estimate internal parameters of interest in simulator-based models, especially in settings where the observations include images or…

机器学习 · 统计学 2023-11-14 Luca Masserano , Tommaso Dorigo , Rafael Izbicki , Mikael Kuusela , Ann B. Lee

Stochastic Differential Equations (SDEs) are used as statistical models in many disciplines. However, intractable likelihood functions for SDEs make inference challenging, and we need to resort to simulation-based techniques to estimate and…

统计方法学 · 统计学 2014-08-12 Grant Schneider , Peter F. Craigmile , Radu Herbei

Density ratio estimation (DRE) is a fundamental machine learning technique for comparing two probability distributions. However, existing methods struggle in high-dimensional settings, as it is difficult to accurately compare probability…

机器学习 · 计算机科学 2022-03-15 Kristy Choi , Chenlin Meng , Yang Song , Stefano Ermon

In Monte Carlo simulations, proposed configurations are accepted or rejected according to an acceptance ratio, which depends on an underlying probability distribution and an a priori sampling probability. By carefully selecting the…

计算物理 · 物理学 2023-02-09 Emanuel Casiano-Diaz , Kipton Barros , Ying Wai Li , Adrian Del Maestro

The computational complexity of simultaneous inference methods in high-dimensional linear regression models quickly increases with the number variables. This paper proposes a computationally efficient method based on the Moore-Penrose…

统计理论 · 数学 2021-02-02 Tom Boot , Didier Nibbering

Neural networks are being extensively used for modelling data, especially in the case where no likelihood can be formulated. Although in the case of X-ray spectral fitting, the likelihood is known, we aim to investigate the neural networks…

天体物理仪器与方法 · 物理学 2024-02-22 Didier Barret , Simon Dupourqué

We propose a new weighted average estimator for the high dimensional parameters under the distributed learning system, in which the weight assigned to each coordinate is precisely proportional to the inverse of the variance of the local…

统计方法学 · 统计学 2025-02-06 Jun Lu , Xiaoyu Mao , Mengyao Li , Chenping Hou

Simulation-based inference (SBI) with neural networks has accelerated and transformed cognitive modeling workflows. SBI enables modelers to fit complex models that were previously difficult or impossible to estimate, while also allowing…

机器学习 · 统计学 2026-03-24 Jerry M. Huang , Lukas Schumacher , Niek Stevenson , Stefan T. Radev

Our work utilized a non-sequential simulation-based inference algorithm to provide an amortized neural density estimator, which approximates the posterior distribution for seven parameters of the adaptive exponential integrate-and-fire…

神经与进化计算 · 计算机科学 2026-02-13 Jakob Kaiser , Eric Müller , Johannes Schemmel

This paper considers properties of an optimization based sampler for targeting the posterior distribution when the likelihood is intractable and auxiliary statistics are used to summarize information in the data. Our reverse sampler…

统计方法学 · 统计学 2015-12-02 Jean-Jacques Forneron , Serena Ng

Adaptive gradient methods such as Adam have been shown to be very effective for training deep neural networks (DNNs) by tracking the second moment of gradients to compute the individual learning rates. Differently from existing methods, we…

机器学习 · 计算机科学 2019-02-26 Guoqiang Zhang , Kenta Niwa , W. Bastiaan Kleijn

Generative models and those with computationally intractable likelihoods are widely used to describe complex systems in the natural sciences, social sciences, and engineering. Fitting these models to data requires likelihood-free inference…

统计方法学 · 统计学 2025-12-04 Rui Zhang , Oksana A. Chkrebtii , Dongbin Xiu

Pitch estimation is an essential step of many speech processing algorithms, including speech coding, synthesis, and enhancement. Recently, pitch estimators based on deep neural networks (DNNs) have have been outperforming well-established…

音频与语音处理 · 电气工程与系统科学 2024-01-17 Krishna Subramani , Jean-Marc Valin , Jan Buethe , Paris Smaragdis , Mike Goodwin

We propose a novel deep learning approach to nonparametric statistical inference for the conditional hazard function of survival time with right-censored data. We use a deep neural network (DNN) to approximate the logarithm of a conditional…

统计方法学 · 统计学 2024-10-24 Wen Su , Kin-Yat Liu , Guosheng Yin , Jian Huang , Xingqiu Zhao