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We present a novel approach for constrained Bayesian inference. Unlike current methods, our approach does not require convexity of the constraint set. We reduce the constrained variational inference to a parametric optimization over the…

Machine Learning · Computer Science 2013-09-27 Oluwasanmi Koyejo , Joydeep Ghosh

Accuracies of survival models for life expectancy prediction as well as critical-care applications are significantly compromised due to the sparsity of samples and extreme imbalance between the survival (usually, the majority) and mortality…

Machine Learning · Statistics 2018-04-16 Kahkashan Afrin , Gurudev Illangovan , Sanjay S. Srivatsa , Satish T. S. Bukkapatnam

Bayesian inference with computationally expensive likelihood evaluations remains a significant challenge in many scientific domains. We propose normalizing flow regression (NFR), a novel offline inference method for approximating posterior…

Machine Learning · Statistics 2025-04-17 Chengkun Li , Bobby Huggins , Petrus Mikkola , Luigi Acerbi

Prior-Fitted Networks (PFNs) amortize Bayesian prediction by meta-learning over a synthetic task prior, but their standard output is a posterior predictive distribution over noisy observations. For sequential decision-making, such as active…

Machine Learning · Statistics 2026-05-08 Richard Bergna , Stefan Depeweg , José Miguel Hernández-Lobato

Simulation-based methods for statistical inference have evolved dramatically over the past 50 years, keeping pace with technological advancements. The field is undergoing a new revolution as it embraces the representational capacity of…

Machine Learning · Statistics 2024-10-11 Andrew Zammit-Mangion , Matthew Sainsbury-Dale , Raphaël Huser

Machine learning models perform well across domains such as diagnostics, weather forecasting, NLP, and autonomous driving, but their limited uncertainty handling restricts use in safety-critical settings. Traditional neural networks often…

Machine Learning · Computer Science 2025-12-01 Bernhard Klein , Falk Selker , Hendrik Borras , Sophie Steger , Franz Pernkopf , Holger Fröning

This paper explores foundational and applied aspects of survival analysis, using fall risk assessment as a case study. It revisits key time-related probability distributions and statistical methods, including logistic regression, Poisson…

Machine Learning · Computer Science 2025-01-07 Tianhua Chen

Due to their uncertainty quantification, Bayesian solutions to inverse problems are the framework of choice in applications that are risk averse. These benefits come at the cost of computations that are in general, intractable. New advances…

Machine Learning · Computer Science 2024-05-10 Rafael Orozco , Ali Siahkoohi , Mathias Louboutin , Felix J. Herrmann

Artificial Neural Networks are connectionist systems that perform a given task by learning on examples without having prior knowledge about the task. This is done by finding an optimal point estimate for the weights in every node.…

Machine Learning · Computer Science 2019-01-10 Kumar Shridhar , Felix Laumann , Marcus Liwicki

This article tackles the old problem of prediction via a nonparametric transformation model (NTM) in a new Bayesian way. Estimation of NTMs is known challenging due to model unidentifiability though appealing because of its robust…

Methodology · Statistics 2023-02-08 Chong Zhong , Jin Yang , Junshan Shen , Catherine Liu , Zhaohai Li

We introduce LatentTimePFN (LaT-PFN), a foundational Time Series model with a strong embedding space that enables zero-shot forecasting. To achieve this, we perform in-context learning in latent space utilizing a novel integration of the…

Machine Learning · Computer Science 2024-05-24 Stijn Verdenius , Andrea Zerio , Roy L. M. Wang

Probabilistic models analyze data by relying on a set of assumptions. Data that exhibit deviations from these assumptions can undermine inference and prediction quality. Robust models offer protection against mismatch between a model's…

Machine Learning · Statistics 2018-06-20 Yixin Wang , Alp Kucukelbir , David M. Blei

Survival analysis is widely used as a technique to model time-to-event data when some data is censored, particularly in healthcare for predicting future patient risk. In such settings, survival models must be both accurate and interpretable…

Machine Learning · Computer Science 2024-04-24 Mike Van Ness , Madeleine Udell

Estimating an individual's counterfactual outcomes under interventions is a challenging task for traditional causal inference and supervised learning approaches when the outcome is high-dimensional (e.g. gene expressions, facial images) and…

Machine Learning · Computer Science 2025-03-19 Yulun Wu , Louie McConnell , Claudia Iriondo

The inverse probability weighting approach is popular for evaluating treatment effects in observational studies, but extreme propensity scores could bias the estimator and induce excessive variance. Recently, the overlap weighting approach…

Methodology · Statistics 2022-06-22 Chao Cheng , Fan Li , Laine Thomas , Fan Li

Many sequential decision settings in healthcare feature funnel structures characterized by a series of stages, such as screenings or evaluations, where the number of patients who advance to each stage progressively decreases and decisions…

Machine Learning · Computer Science 2025-11-25 Shuvom Sadhuka , Sophia Lin , Bonnie Berger , Emma Pierson

Approximate Bayesian Computation is widely used in systems biology for inferring parameters in stochastic gene regulatory network models. Its performance hinges critically on the ability to summarize high-dimensional system responses such…

Machine Learning · Statistics 2021-04-13 Mattias Åkesson , Prashant Singh , Fredrik Wrede , Andreas Hellander

Prior-data fitted networks (PFNs) have emerged as promising foundation models for prediction from tabular datasets, achieving state-of-the-art performance on small to moderate data sizes without tuning. While PFNs are motivated by Bayesian…

Methodology · Statistics 2026-05-11 Thomas Nagler , David Rügamer

Estimating the parameters of mathematical models is a common problem in almost all branches of science. However, this problem can prove notably difficult when processes and model descriptions become increasingly complex and an explicit…

Machine Learning · Statistics 2024-02-09 Stefan T. Radev , Ulf K. Mertens , Andreas Voss , Lynton Ardizzone , Ullrich Köthe

We introduce a pruning algorithm that provably sparsifies the parameters of a trained model in a way that approximately preserves the model's predictive accuracy. Our algorithm uses a small batch of input points to construct a data-informed…

Machine Learning · Computer Science 2021-03-16 Cenk Baykal , Lucas Liebenwein , Igor Gilitschenski , Dan Feldman , Daniela Rus