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We introduce the Dense Basis method for Spectral Energy Distribution (SED) fitting. It accurately recovers traditional SED parameters, including M$_*$, SFR and dust attenuation, and reveals previously inaccessible information about the…

Astrophysics of Galaxies · Physics 2017-04-12 Kartheik G. Iyer , Eric Gawiser

Neural networks are one tool for approximating non-linear differential equations used in scientific computing tasks such as surrogate modeling, real-time predictions, and optimal control. PDE foundation models utilize neural networks to…

Machine Learning · Computer Science 2025-02-11 Elisa Negrini , Yuxuan Liu , Liu Yang , Stanley J. Osher , Hayden Schaeffer

Recent Tabular Foundation Models (TFMs) have demonstrated state-of-the-art predictive performance, often surpassing Gradient-Boosted Decision Trees (GBDTs). However, the trustworthiness of these models, particularly their uncertainty…

Machine Learning · Computer Science 2026-05-28 José Lucas De Melo Costa , Fabrice Popineau , Arpad Rimmel , Bich-Liên Doan

Conditional density estimation is a general framework for solving various problems in machine learning. Among existing methods, non-parametric and/or kernel-based methods are often difficult to use on large datasets, while methods based on…

Machine Learning · Statistics 2018-06-06 Hiroaki Sasaki , Aapo Hyvärinen

Modeling complex conditional distributions is critical in a variety of settings. Despite a long tradition of research into conditional density estimation, current methods employ either simple parametric forms or are difficult to learn in…

Machine Learning · Statistics 2018-02-15 Brian L Trippe , Richard E Turner

Tabular foundation models aim to learn universal representations of tabular data that transfer across tasks and domains, enabling applications such as table retrieval, semantic search and table-based prediction. Despite the growing number…

Machine Learning · Computer Science 2026-04-24 Liane Vogel , Kavitha Srinivas , Niharika D'Souza , Sola Shirai , Oktie Hassanzadeh , Horst Samulowitz

Counterfactual explanations (CFEs) are essential for interpreting black-box models, yet they often become invalid when models are slightly changed. Existing methods for generating robust CFEs are often limited to specific types of models,…

Machine Learning · Computer Science 2026-04-21 Marcin Kostrzewa , Maciej Zięba , Jerzy Stefanowski

Conditional generative models map input variables to complex, high-dimensional distributions, enabling realistic sample generation in a diverse set of domains. A critical challenge with these models is the absence of calibrated uncertainty,…

Machine Learning · Computer Science 2026-02-02 Qidong Yang , Qianyu Julie Zhu , Jonathan Giezendanner , Youssef Marzouk , Stephen Bates , Sherrie Wang

Current causal discovery approaches require restrictive model assumptions in the absence of interventional data to ensure structure identifiability. These assumptions often do not hold in real-world applications leading to a loss of…

Machine Learning · Statistics 2025-06-25 Anish Dhir , Ruby Sedgwick , Avinash Kori , Ben Glocker , Mark van der Wilk

Tabular foundation models like TabPFN and TabICL achieve state-of-the-art performance through in-context learning, yet their architectures remain fundamentally opaque. We introduce KernelICL, a framework to enhance tabular foundation models…

Machine Learning · Computer Science 2026-02-03 Ratmir Miftachov , Bruno Charron , Simon Valentin

Tabular foundation models (TFMs) such as TabPFN (Tabular Prior-Data Fitted Network) are designed to generalize across heterogeneous tabular datasets through in-context learning (ICL). They perform prediction in a single forward pass…

Machine Learning · Computer Science 2026-04-09 James Hu , Mahdi Ghelichi

We propose a general framework for conditional sampling in PDE-based inverse problems, targeting the recovery of whole solutions from extremely sparse or noisy measurements. This is accomplished by a function-space diffusion model and…

Machine Learning · Computer Science 2026-02-06 Jiachen Yao , Abbas Mammadov , Julius Berner , Gavin Kerrigan , Jong Chul Ye , Kamyar Azizzadenesheli , Anima Anandkumar

Offline reinforcement learning (RL) offers a promising direction for learning policies from pre-collected datasets without requiring further interactions with the environment. However, existing methods struggle to handle out-of-distribution…

Machine Learning · Computer Science 2024-03-12 Zhepeng Cen , Zuxin Liu , Zitong Wang , Yihang Yao , Henry Lam , Ding Zhao

While most ML models expect independent and identically distributed data, this assumption is often violated in real-world scenarios due to distribution shifts, resulting in the degradation of machine learning model performance. Until now,…

Machine Learning · Computer Science 2024-11-19 Kai Helli , David Schnurr , Noah Hollmann , Samuel Müller , Frank Hutter

The Neural Autoregressive Distribution Estimator (NADE) and its real-valued version RNADE are competitive density models of multidimensional data across a variety of domains. These models use a fixed, arbitrary ordering of the data…

Machine Learning · Statistics 2014-01-14 Benigno Uria , Iain Murray , Hugo Larochelle

Tabular foundation models (TFMs) now match or beat tuned gradient-boosted trees on a growing fraction of tabular tasks, but no single TFM wins on every dataset. Ensembling is the go to fix here, and it works less well than expected. Six…

Machine Learning · Computer Science 2026-05-19 Aditya Tanna , Yash Desai , Pratinav Seth , Mohamed Bouadi , Nassim Bouarour , Vinay Kumar Sankarapu

Tabular foundation models with different architectures converge in accuracy across a range of classification and regression tasks. This raises questions a leaderboard cannot answer: (i) whether the models execute the same in-context…

Machine Learning · Computer Science 2026-05-21 Marin Biloš , James T. Wilson , Anderson Schneider , Yuriy Nevmyvaka

A common objective in the analysis of tabular data is estimating the conditional distribution (in contrast to only producing predictions) of a set of "outcome" variables given a set of "covariates", which is sometimes referred to as the…

Machine Learning · Statistics 2024-10-08 Zhuoqun Wang , Naoki Awaya , Li Ma

This paper focuses on inverse problems to identify parameters by incorporating information from measurements. These generally ill-posed problems are formulated here in a probabilistic setting based on Bayes's theorem because it leads to a…

Numerical Analysis · Mathematics 2019-12-20 Jaroslav Vondřejc , Hermann G. Matthies

Kernel density estimation on a finite interval poses an outstanding challenge because of the well-recognized bias at the boundaries of the interval. Motivated by an application in cancer research, we consider a boundary constraint linking…

Statistics Theory · Mathematics 2020-12-01 Matthew J. Colbrook , Zdravko I. Botev , Karsten Kuritz , Shev MacNamara