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In this paper we propose an objective Bayesian estimation approach for the parameters of the generalized gamma distribution. Various reference priors are obtained, but showing that they lead to improper posterior distributions. We overcome…

Methodology · Statistics 2014-12-19 Pedro L. Ramos , Francisco Louzada

The Black Box Variational Inference (Ranganath et al. (2014)) algorithm provides a universal method for Variational Inference, but taking advantage of special properties of the approximation family or of the target can improve the…

Computation · Statistics 2019-06-18 Alexander Immer , Guillaume P. Dehaene

Normalizing flows are a powerful technique for obtaining reparameterizable samples from complex multimodal distributions. Unfortunately, current approaches are only available for the most basic geometries and fall short when the underlying…

Machine Learning · Statistics 2021-05-03 Luca Falorsi

Different types of training data have led to numerous schemes for supervised classification. Current learning techniques are tailored to one specific scheme and cannot handle general ensembles of training data. This paper presents a…

Machine Learning · Statistics 2020-10-20 Santiago Mazuelas , Aritz Perez

The task of distribution generalization concerns making reliable prediction of a response in unseen environments. The structural causal models are shown to be useful to model distribution changes through intervention. Motivated by the…

Methodology · Statistics 2022-06-14 Kang Du , Yu Xiang

The generalized perturbative approach is an all purpose variant of Stein's method used to obtain rates of normal approximation. Originally developed for functions of independent random variables this method is here extended to functions of…

Probability · Mathematics 2020-10-12 Christian Houdré , George Kerchev

We aim to generalize the results of a randomized controlled trial (RCT) to a target population with the help of some observational data. This is a problem of causal effect identification with multiple data sources. Challenges arise when the…

Methodology · Statistics 2022-06-15 Juha Karvanen

The concept of generalized cross-validation (GCV) is applied to modified total generalized variation (MTGV) regularization. Current implementations of the MTGV regularization rely on manual (or semi-manual) hyperparameter optimization,…

Most of the recent successful applications of neural networks have been based on training with gradient descent updates. However, for some small networks, other mirror descent updates learn provably more efficiently when the target is…

Machine Learning · Computer Science 2020-06-24 Ehsan Amid , Manfred K. Warmuth

We present weight normalization: a reparameterization of the weight vectors in a neural network that decouples the length of those weight vectors from their direction. By reparameterizing the weights in this way we improve the conditioning…

Machine Learning · Computer Science 2016-06-07 Tim Salimans , Diederik P. Kingma

Image restoration is one of the most important areas in imaging science. Mathematical tools have been widely used in image restoration, where wavelet frame based approach is one of the successful examples. In this paper, we introduce a…

Functional Analysis · Mathematics 2016-02-18 Bin Dong , Zuowei Shen , Peichu Xie

We propose a new modeling approach that is a generalization of generative and discriminative models. The core idea is to use an implicit parameterization of a joint probability distribution by specifying only the conditional distributions.…

Machine Learning · Computer Science 2016-12-06 Dmitrij Schlesinger , Carsten Rother

Can transformers generalize efficiently on problems that require dealing with examples with different levels of difficulty? We introduce a new task tailored to assess generalization over different complexities and present results that…

We investigate graph representation learning approaches that enable models to generalize across graphs: given a model trained using the representations from one graph, our goal is to apply inference using those same model parameters when…

Machine Learning · Computer Science 2023-02-20 Anton Amirov , Chris Quirk , Jennifer Neville

We propose a new approach to inference in tightly identified and large-scale structural vector autoregressions based on a reparameterization that enables imposing identifying inequality restrictions through continuously differentiable…

Econometrics · Economics 2026-05-22 Markku Lanne , Jani Luoto , Adam Rybarczyk

Recently a distribution free approach for testing parametric hypotheses based on unitary transformations has been suggested in \cite{Khm13, Khm16, Khm17} and further studied in \cite{Ngu17} and \cite{Rob19}. In this note we show that the…

Methodology · Statistics 2020-02-10 Estate V. Khmaladze

Transformer-based models excel in various tasks but their generalization capabilities, especially in arithmetic reasoning, remain incompletely understood. Arithmetic tasks provide a controlled framework to explore these capabilities, yet…

Machine Learning · Computer Science 2025-08-07 Xingcheng Xu , Zibo Zhao , Haipeng Zhang , Yanqing Yang

Steering vectors (SVs) have been proposed as an effective approach to adjust language model behaviour at inference time by intervening on intermediate model activations. They have shown promise in terms of improving both capabilities and…

Machine Learning · Computer Science 2025-05-06 Daniel Tan , David Chanin , Aengus Lynch , Dimitrios Kanoulas , Brooks Paige , Adria Garriga-Alonso , Robert Kirk

Regularizing the gradient norm of the output of a neural network with respect to its inputs is a powerful technique, rediscovered several times. This paper presents evidence that gradient regularization can consistently improve…

Machine Learning · Computer Science 2018-05-28 Dániel Varga , Adrián Csiszárik , Zsolt Zombori

Finding an unconstrained and statistically interpretable reparameterization of a covariance matrix is still an open problem in statistics. Its solution is of central importance in covariance estimation, particularly in the recent…

Methodology · Statistics 2012-02-09 Mohsen Pourahmadi