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Simulation-Based Inference (SBI) is a promising Bayesian inference framework that alleviates the need for analytic likelihoods to estimate posterior distributions. Recent advances using neural density estimators in SBI algorithms have…

Instrumentation and Methods for Astrophysics · Physics 2022-07-13 Justine Zeghal , François Lanusse , Alexandre Boucaud , Benjamin Remy , Eric Aubourg

Recently, TabPFN has gained attention as a foundation model for tabular data. However, it struggles to integrate heterogeneous modalities such as images and text, which are common in domains like healthcare and marketing, thereby limiting…

Machine Learning · Computer Science 2026-04-10 Wall Kim , Chaeyoung Song , Hanul Kim

Foundation models for tabular data, like TabPFN, achieve strong performance on small datasets when pre-trained solely on synthetic data. We show that this performance can be significantly boosted by a targeted continued pre-training phase.…

Machine Learning · Computer Science 2025-07-08 Anurag Garg , Muhammad Ali , Noah Hollmann , Lennart Purucker , Samuel Müller , Frank Hutter

Predictive models are being increasingly used across a wide range of domains, including safety-critical applications such as medical diagnosis and criminal justice. Reliable uncertainty estimation is a crucial task in such settings. Tabular…

Machine Learning · Computer Science 2025-09-15 Madhushan Ramalingam

Causal discovery is fundamental for multiple scientific domains, yet extracting causal information from real world data remains a significant challenge. Given the recent success on real data, we investigate whether TabPFN, a…

Machine Learning · Computer Science 2025-11-11 Omar Swelam , Lennart Purucker , Jake Robertson , Hanne Raum , Joschka Boedecker , Frank Hutter

Simulation-based inference (SBI) solves statistical inverse problems by repeatedly running a stochastic simulator and inferring posterior distributions from model-simulations. To improve simulation efficiency, several inference methods take…

Machine Learning · Statistics 2022-11-11 Michael Deistler , Pedro J Goncalves , Jakob H Macke

Bayesian inference for complex models with an intractable likelihood can be tackled using algorithms performing many calls to computer simulators. These approaches are collectively known as "simulation-based inference" (SBI). Recent SBI…

Identifying the parameters of a non-linear model that best explain observed data is a core task across scientific fields. When such models rely on complex simulators, evaluating the likelihood is typically intractable, making traditional…

Prior-data fitted networks (PFNs) were recently proposed as a new paradigm for machine learning. Instead of training the network to an observed training set, a fixed model is pre-trained offline on small, simulated training sets from a…

Machine Learning · Statistics 2023-05-19 Thomas Nagler

Traditional methods for tabular classification usually rely on supervised learning from scratch, which requires extensive training data to determine model parameters. However, a novel approach called Prior-Data Fitted Networks (TabPFN) has…

Machine Learning · Computer Science 2024-06-12 Quangao Liu , Wei Yang , Chen Liang , Longlong Pang , Zhuozhang Zou

Foundational models (FMs), pretrained on extensive datasets using self-supervised techniques, are capable of learning generalized patterns from large amounts of data. This reduces the need for extensive labeled datasets for each new task,…

Machine Learning · Computer Science 2024-06-19 Quan M. Tran , Suong N. Hoang , Lam M. Nguyen , Dzung Phan , Hoang Thanh Lam

Neural posterior estimation (NPE), a simulation-based computational approach for Bayesian inference, has shown great success in approximating complex posterior distributions. Existing NPE methods typically rely on normalizing flows, which…

Machine Learning · Statistics 2025-03-14 Tianyu Chen , Vansh Bansal , James G. Scott

A central challenge in many areas of science and engineering is to identify model parameters that are consistent with prior knowledge and empirical data. Bayesian inference offers a principled framework for this task, but can be…

Task-agnostic tabular foundation models such as TabPFN have achieved impressive performance on tabular learning tasks, yet the origins of their inductive biases remain poorly understood. In this work, we study TabPFN through the lens of…

Machine Learning · Computer Science 2025-11-25 Jianqiao Zheng , Cameron Gordon , Yiping Ji , Hemanth Saratchandran , Simon Lucey

Prior-Data Fitted Networks (PFNs) enable amortized Bayesian inference in a single forward pass, yet their internal representations remain opaque. It is unknown whether PFNs encode identifiable Bayesian structure or merely memorize…

Machine Learning · Computer Science 2026-05-14 Kaustubh Sharma , Srijan Tiwari , Ojasva Nema , Parikshit Pareek

Despite the impressive advancements achieved using deep-learning for functional brain activity analysis, the heterogeneity of functional patterns and scarcity of imaging data still pose challenges in tasks such as prediction of future onset…

Image and Video Processing · Electrical Eng. & Systems 2023-12-25 Wenhui Cui , Haleh Akrami , Ganning Zhao , Anand A. Joshi , Richard M. Leahy

Simulation-based inference (SBI) with neural posterior estimation (NPE) provides rapid X-ray spectral fitting in both Gaussian and Poisson regimes by learning approximate parameter posteriors from simulations. We investigate auto-encoders…

Instrumentation and Methods for Astrophysics · Physics 2026-04-22 Didier Barret , Simon Dupourqué

TabPFN has emerged as a promising in-context learning model for tabular data, capable of directly predicting the labels of test samples given labeled training examples. It has demonstrated competitive performance, particularly on…

Machine Learning · Computer Science 2025-02-05 Si-Yang Liu , Han-Jia Ye

Revealing novel insights from the relationship between molecular measurements and pathology remains a very impactful application of machine learning in biomedicine. Data in this domain typically contain only a few observations but thousands…

Machine Learning · Computer Science 2026-03-31 Christopher Kolberg , Jules Kreuer , Jonas Huurdeman , Sofiane Ouaari , Katharina Eggensperger , Nico Pfeifer

TabPFN is a transformer that achieves state-of-the-art performance on supervised tabular tasks by amortizing Bayesian prediction into a single forward pass. However, there is currently no method for uncertainty decomposition in TabPFN.…

Machine Learning · Statistics 2026-02-05 Sandra Fortini , Kenyon Ng , Sonia Petrone , Judith Rousseau , Susan Wei