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Stochastic First-Order (SFO) methods have been a cornerstone in addressing a broad spectrum of modern machine learning (ML) challenges. However, their efficacy is increasingly questioned, especially in large-scale applications where…

机器学习 · 计算机科学 2024-08-01 Di Zhang , Suvrajeet Sen

Standard probabilistic sparse coding assumes a Laplace prior, a linear mapping from latents to observables, and Gaussian observable distributions. We here derive a solely entropy-based learning objective for the parameters of standard…

机器学习 · 统计学 2024-04-11 Dmytro Velychko , Simon Damm , Asja Fischer , Jörg Lücke

The Variational Autoencoder (VAE) is a powerful framework for learning probabilistic latent variable generative models. However, typical assumptions on the approximate posterior distribution of the encoder and/or the prior, seriously…

机器学习 · 计算机科学 2020-07-13 Ifigeneia Apostolopoulou , Elan Rosenfeld , Artur Dubrawski

Fourier features based positional encoding (PE) is commonly used in machine learning tasks that involve learning high-frequency features from low-dimensional inputs, such as 3D view synthesis and time series regression with neural tangent…

机器学习 · 计算机科学 2024-07-18 Chuanhao Sun , Zhihang Yuan , Kai Xu , Luo Mai , N. Siddharth , Shuo Chen , Mahesh K. Marina

Although semi-supervised variational autoencoder (SemiVAE) works in image classification task, it fails in text classification task if using vanilla LSTM as its decoder. From a perspective of reinforcement learning, it is verified that the…

计算与语言 · 计算机科学 2016-11-28 Weidi Xu , Haoze Sun , Chao Deng , Ying Tan

Variational Inference (VI) is a commonly used technique for approximate Bayesian inference and uncertainty estimation in deep learning models, yet it comes at a computational cost, as it doubles the number of trainable parameters to…

机器学习 · 计算机科学 2024-06-25 Christian Marius Lillelund , Martin Magris , Christian Fischer Pedersen

Variational Autoencoders (VAEs) are a popular framework for unsupervised learning and data generation. A plethora of methods have been proposed focusing on improving VAEs, with the incorporation of adversarial objectives and the integration…

机器学习 · 计算机科学 2025-06-05 Ioannis Athanasiadis , Fredrik Lindsten , Michael Felsberg

Making predictions and quantifying their uncertainty when the input data is sequential is a fundamental learning challenge, recently attracting increasing attention. We develop SigGPDE, a new scalable sparse variational inference framework…

Neuromorphic hardware equipped with learning capabilities can adapt to new, real-time data. While models of Spiking Neural Networks (SNNs) can now be trained using gradient descent to reach an accuracy comparable to equivalent conventional…

神经与进化计算 · 计算机科学 2022-03-09 Kenneth Stewart , Andreea Danielescu , Timothy Shea , Emre Neftci

Structured variational autoencoders (SVAEs) combine probabilistic graphical model priors on latent variables, deep neural networks to link latent variables to observed data, and structure-exploiting algorithms for approximate posterior…

机器学习 · 统计学 2023-05-29 Yixiu Zhao , Scott W. Linderman

In this paper, we give an in-depth analysis on the mathematical problem formulations and the probabilistic optimization explorations for some of the key components in Transformer model [33] in the field of generative AI. We explore and…

机器学习 · 计算机科学 2024-10-25 Fulu Li

Variational autoencoders (VAEs) employ Bayesian inference to interpret sensory inputs, mirroring processes that occur in primate vision across both ventral (Higgins et al., 2021) and dorsal (Vafaii et al., 2023) pathways. Despite their…

机器学习 · 计算机科学 2024-12-10 Hadi Vafaii , Dekel Galor , Jacob L. Yates

Scientists and engineers employ stochastic numerical simulators to model empirically observed phenomena. In contrast to purely statistical models, simulators express scientific principles that provide powerful inductive biases, improve…

Variational inference has experienced a recent surge in popularity owing to stochastic approaches, which have yielded practical tools for a wide range of model classes. A key benefit is that stochastic variational inference obviates the…

计算机视觉与模式识别 · 计算机科学 2018-03-29 Tobias Plötz , Anne S. Wannenwetsch , Stefan Roth

I propose a novel framework that integrates stochastic differential equations (SDEs) with deep generative models to improve uncertainty quantification in machine learning applications involving structured and temporal data. This approach,…

机器学习 · 统计学 2026-01-09 James Rice

The estimation of the Extreme Value Index (EVI) is fundamental in extreme value analysis but suffers from high variance due to reliance on only a few extreme observations. We propose a control variates based transfer learning approach in a…

统计方法学 · 统计学 2025-11-20 Louison Bocquet-Nouaille , Jérôme Morio , Benjamin Bobbia

Variational autoencoders (VAEs) are a popular framework for modeling complex data distributions; they can be efficiently trained via variational inference by maximizing the evidence lower bound (ELBO), at the expense of a gap to the exact…

The representation of the approximate posterior is a critical aspect of effective variational autoencoders (VAEs). Poor choices for the approximate posterior have a detrimental impact on the generative performance of VAEs due to the…

机器学习 · 统计学 2020-06-09 Arash Vahdat , Evgeny Andriyash , William G. Macready

In recent years, studies on image generation models of spiking neural networks (SNNs) have gained the attention of many researchers. Variational autoencoders (VAEs), as one of the most popular image generation models, have attracted a lot…

计算机视觉与模式识别 · 计算机科学 2024-10-28 Qiugang Zhan , Ran Tao , Xiurui Xie , Guisong Liu , Malu Zhang , Huajin Tang , Yang Yang

Simulation-based inference (SBI) enables amortized Bayesian inference by first training a neural posterior estimator (NPE) on prior-simulator pairs, typically through low-dimensional summary statistics, which can then be cheaply reused for…

机器学习 · 统计学 2026-02-11 Sherman Khoo , Dennis Prangle , Song Liu , Mark Beaumont