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Related papers: Foundation Priors

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The use of synthetic data to deidentify data and to improve predictive models is well-attested to. The augmentation of datasets using synthetically generated data is an alluring proposition: in the best case, it generates realistic data…

Methodology · Statistics 2026-03-20 Reid Dale , Jordan Rodu , Mike Baiocchi

Bayesian inference in generalized linear models requires a prior on the coefficient vector $\beta$. Practitioners naturally reason about response probabilities at specific covariate values, not about abstract log-odds parameters. We develop…

Methodology · Statistics 2026-03-03 Nick Polson , Vadim Sokolov

Foundation models in digital pathology use massive datasets to learn useful compact feature representations of complex histology images. However, there is limited transparency into what drives the correlation between dataset size and…

Foundation models can be disruptive for future AI development by scaling up deep learning in terms of model size and training data's breadth and size. These models achieve state-of-the-art performance (often through further adaptation) on a…

Artificial Intelligence · Computer Science 2022-12-20 Johannes Schneider

The machine learning community has mainly relied on real data to benchmark algorithms as it provides compelling evidence of model applicability. Evaluation on synthetic datasets can be a powerful tool to provide a better understanding of a…

Machine Learning · Computer Science 2022-11-01 Florence Regol , Anja Kroon , Mark Coates

Catalytic prior distributions provide general, easy-to-use, and interpretable specifications of prior distributions for Bayesian analysis. They are particularly beneficial when the observed data are inadequate to stably estimate a complex…

Methodology · Statistics 2023-09-25 Dongming Huang , Feicheng Wang , Donald B. Rubin , S. C. Kou

The emergence of generative AI models has dramatically expanded the availability and use of synthetic data across scientific, industrial, and policy domains. While these developments open new possibilities for data analysis, they also raise…

Machine Learning · Statistics 2026-03-06 Ahmad Abdel-Azim , Ruoyu Wang , Xihong Lin

There is significant growth and interest in the use of synthetic data as an enabler for machine learning in environments where the release of real data is restricted due to privacy or availability constraints. Despite a large number of…

Machine Learning · Computer Science 2020-11-25 Harrison Wilde , Jack Jewson , Sebastian Vollmer , Chris Holmes

Foundation models are premised on the idea that sequence prediction can uncover deeper domain understanding, much like how Kepler's predictions of planetary motion later led to the discovery of Newtonian mechanics. However, evaluating…

Machine Learning · Computer Science 2025-12-30 Keyon Vafa , Peter G. Chang , Ashesh Rambachan , Sendhil Mullainathan

What determines the quality of a tabular foundation model? Unlike language or vision, tabular foundation models acquire their inductive biases almost entirely from synthetic pretraining distributions, yet the design of these distributions…

Machine Learning · Computer Science 2026-05-20 Mohamed Bouadi , Nassim Bouarour , Varun Kulkarni , Shivam Dubey , Aditya Tanna , Vinay Kumar Sankarapu

Foundation models have demonstrated remarkable generalization, data efficiency, and robustness properties across various domains. In this paper, we explore the feasibility of foundation models for applications in the control domain. The…

Machine Learning · Computer Science 2024-12-18 Martin Ziegler , Andres Felipe Posada-Moreno , Friedrich Solowjow , Sebastian Trimpe

A substantial generalisation is put forward of the theory of subjective fiducial inference as it was outlined in earlier papers. In particular, this theory is extended to deal with cases where the data are discrete or categorical rather…

Other Statistics · Statistics 2021-04-09 Russell J. Bowater

With the advent of generative modeling techniques, synthetic data and its use has penetrated across various domains from unstructured data such as image, text to structured dataset modeling healthcare outcome, risk decisioning in financial…

Machine Learning · Computer Science 2021-05-11 Aman Gupta , Deepak Bhatt , Anubha Pandey

Machine learning applications are becoming increasingly pervasive in our society. Since these decision-making systems rely on data-driven learning, risk is that they will systematically spread the bias embedded in data. In this paper, we…

Machine Learning · Statistics 2023-02-09 Alessandro Castelnovo , Riccardo Crupi , Nicole Inverardi , Daniele Regoli , Andrea Cosentini

Recent advances in generative models facilitate the creation of synthetic data to be made available for research in privacy-sensitive contexts. However, the analysis of synthetic data raises a unique set of methodological challenges. In…

Foundation models contain a wealth of information from their vast number of training samples. However, most prior arts fail to extract this information in a precise and efficient way for small sample sizes. In this work, we propose a…

Machine Learning · Computer Science 2024-04-26 Nico Schiavone , Xingyu Li

Specifying a Bayesian prior is notoriously difficult for complex models such as neural networks. Reasoning about parameters is made challenging by the high-dimensionality and over-parameterization of the space. Priors that seem benign and…

Machine Learning · Statistics 2020-10-22 Eric Nalisnick , Jonathan Gordon , José Miguel Hernández-Lobato

Priors allow us to robustify inference and to incorporate expert knowledge in Bayesian hierarchical models. This is particularly important when there are random effects that are hard to identify based on observed data. The challenge lies in…

Computation · Statistics 2022-03-21 Ingeborg Gullikstad Hem , Geir-Arne Fuglstad , Andrea Riebler

Recent advances in foundation models have enabled audio-generative models that produce high-fidelity sounds associated with music, events, and human actions. Despite the success achieved in modern audio-generative models, the conventional…

Sound · Computer Science 2024-08-30 Tiantian Feng , Dimitrios Dimitriadis , Shrikanth Narayanan

We argue that the Bayesian paradigm, of a prior which represents the beliefs of the statistician before observing the data, is not feasible in ultra-high-dimensional models. We claim that natural priors that represent the a priori beliefs…

Statistics Theory · Mathematics 2025-08-05 Ya'acov Ritov
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