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Tag: identifiability

  • From Shallow Bayesian Neural Networks to Gaussian Processes: General Convergence, Identifiability and Scalable Inference

    From Shallow Bayesian Neural Networks to Gaussian Processes: General Convergence, Identifiability and Scalable Inference arXiv:2602.22492v1 Announce Type: new Abstract: In this work, we study scaling limits of shallow Bayesian neural networks (BNNs) via their connection to Gaussian processes (GPs), with an emphasis on statistical modeling, identifiability, and scalable inference. We first establish a general convergence…

  • On the Identifiability of Regime-Switching Models with Multi-Lag Dependencies

    On the Identifiability of Regime-Switching Models with Multi-Lag Dependencies arXiv:2601.03325v1 Announce Type: new Abstract: Identifiability is central to the interpretability of deep latent variable models, ensuring parameterisations are uniquely determined by the data-generating distribution. However, it remains underexplored for deep regime-switching time series. We develop a general theoretical framework for multi-lag Regime-Switching Models (RSMs), encompassing…

  • Spectral Identifiability for Interpretable Probe Geometry

    Spectral Identifiability for Interpretable Probe Geometry arXiv:2511.16288v1 Announce Type: new Abstract: Linear probes are widely used to interpret and evaluate neural representations, yet their reliability remains unclear, as probes may appear accurate in some regimes but collapse unpredictably in others. We uncover a spectral mechanism behind this phenomenon and formalize it as the Spectral Identifiability…

  • Identifiability of latent causal graphical models without pure children

    Identifiability of latent causal graphical models without pure children arXiv:2505.18410v1 Announce Type: new Abstract: This paper considers a challenging problem of identifying a causal graphical model under the presence of latent variables. While various identifiability conditions have been proposed in the literature, they often require multiple pure children per latent variable or restrictions on the…