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New AI inference methods tackle high-dimensional variance and posterior collapse

Researchers have introduced Entropic Transport Descent (ETD), a novel particle-based variational inference method that uses entropy-regularized optimal transport to improve approximations of intractable distributions. Unlike previous methods that can suffer from variance collapse in high dimensions, ETD's global coordination mechanism preserves multimodal structure and matches or outperforms existing techniques like SVGD in various experiments. Concurrently, a separate analysis of Variational Deep Gaussian Processes (VDGPs) reveals that posterior collapse, a common issue where variational posteriors match priors, is linked to specific parameterizations and initializations. The study proposes an alternative initialization strategy that mitigates this collapse and enhances training stability without compromising predictive performance. AI

IMPACT These advancements in variational inference could lead to more accurate and stable probabilistic models, improving performance in areas like Bayesian deep learning and complex distribution approximation.

RANK_REASON Multiple arXiv papers detailing new research in variational inference techniques and analyses of existing methods.

Read on Hugging Face Daily Papers →

AI-generated summary · Google Gemini · from 8 sources. How we write summaries →

New AI inference methods tackle high-dimensional variance and posterior collapse

COVERAGE [8]

  1. arXiv cs.LG TIER_1 English(EN) · Vincent Pacelli, Akash Ratheesh, Evangelos Theodorou ·

    Variational Inference via Entropic Transport Descent

    arXiv:2606.25265v1 Announce Type: new Abstract: Particle-based variational inference (ParVI) methods approximate an intractable target distribution by evolving an ensemble of interacting samples. Existing approaches rely predominantly on kernel-based repulsion (e.g., SVGD), which…

  2. arXiv cs.LG TIER_1 English(EN) · Francisco Javier S\'aez-Maldonado, Juan Maro\~nas, Daniel Hern\'andez-Lobato ·

    An Analysis of Posterior Collapse, Parameterization and Initialization in Variational Deep Gaussian Processes

    arXiv:2606.25882v1 Announce Type: new Abstract: DGPs are probabilistic models with remarkable prediction performance that concatenate GPs across several layers. Exact inference in DGPs is intractable, and variational inference is often used to approximate the posterior with a par…

  3. arXiv cs.LG TIER_1 English(EN) · Daniel Hernández-Lobato ·

    An Analysis of Posterior Collapse, Parameterization and Initialization in Variational Deep Gaussian Processes

    DGPs are probabilistic models with remarkable prediction performance that concatenate GPs across several layers. Exact inference in DGPs is intractable, and variational inference is often used to approximate the posterior with a parametric distribution tuned by minimizing the Kul…

  4. Hugging Face Daily Papers TIER_1 English(EN) ·

    Gaussian Mean Field Variational Inference can Overestimate Predictive Variance

    Mean Field Variational Inference (MFVI) is widely understood to underestimate posterior variance. By analysing conjugate Bayesian Linear Regression (BLR), we show that this characterization is incomplete: while MFVI underestimates the variance in parameter space, it can overestim…

  5. Hugging Face Daily Papers TIER_1 English(EN) ·

    Variational Inference via Entropic Transport Descent

    Particle-based variational inference (ParVI) methods approximate an intractable target distribution by evolving an ensemble of interacting samples. Existing approaches rely predominantly on kernel-based repulsion (e.g., SVGD), which suffers from variance collapse in high dimensio…

  6. arXiv stat.ML TIER_1 English(EN) · James Odgers, Ben Riegler, Siddharth Swaroop, Vincent Fortuin ·

    Gaussian Mean Field Variational Inference can Overestimate Predictive Variance

    arXiv:2606.25745v1 Announce Type: new Abstract: Mean Field Variational Inference (MFVI) is widely understood to underestimate posterior variance. By analysing conjugate Bayesian Linear Regression (BLR), we show that this characterization is incomplete: while MFVI underestimates t…

  7. arXiv stat.ML TIER_1 English(EN) · Vincent Fortuin ·

    Gaussian Mean Field Variational Inference can Overestimate Predictive Variance

    Mean Field Variational Inference (MFVI) is widely understood to underestimate posterior variance. By analysing conjugate Bayesian Linear Regression (BLR), we show that this characterization is incomplete: while MFVI underestimates the variance in parameter space, it can overestim…

  8. arXiv stat.ML TIER_1 English(EN) · Jinlin Lai, Antonio Linero, Yuling Yao ·

    Predictive variational inference: Learn the predictively optimal posterior distribution

    arXiv:2410.14843v4 Announce Type: replace Abstract: Vanilla variational inference finds an optimal approximation to the Bayesian posterior distribution, but even the exact Bayesian posterior is often not meaningful under model misspecification. We propose predictive variational i…