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We present a formal and constructive theory showing that probabilistic finite automata (PFAs) can be exactly simulated using symbolic feedforward neural networks. Our architecture represents state distributions as vectors and transitions as…

Machine Learning · Computer Science 2025-09-24 Sahil Rajesh Dhayalkar

Variational mean field approximations tend to struggle with contemporary overparametrized deep neural networks. Where a Bayesian treatment is usually associated with high-quality predictions and uncertainties, the practical reality has been…

Tabular data, widely used in industries like healthcare, finance, and transportation, presents unique challenges for deep learning due to its heterogeneous nature and lack of spatial structure. This survey reviews the evolution of deep…

Machine Learning · Computer Science 2024-10-17 Shriyank Somvanshi , Subasish Das , Syed Aaqib Javed , Gian Antariksa , Ahmed Hossain

We propose a novel approach to perform approximate Bayesian inference in complex models such as Bayesian neural networks. The approach is more scalable to large data than Markov Chain Monte Carlo, it embraces more expressive models than…

Machine Learning · Statistics 2022-09-07 Joel Janek Dabrowski , Daniel Edward Pagendam

Accurate null depth retrieval is critical in nulling interferometry. However, achieving accurate null depth calibration is challenging due to various noise sources, instrumental imperfections, and the complexity of real observational…

Instrumentation and Methods for Astrophysics · Physics 2025-11-14 Baoyi Zeng , Marc-Antoine Martinod , Denis Defrère

Tabular data are central to many real-world systems. While recent tabular transformers and in-context learners such as SAINT, TP-BERTa, TabPFN, TabICL, and MITRA incorporate limited inter-row reasoning, most approaches still lack an…

Machine Learning · Computer Science 2025-12-16 Franck Le , Keith Grueneberg , Erich Nahum , Vadim Sheinin

The first tabular foundation model, TabPFN, and its successor TabPFNv2 have impacted tabular AI substantially, with dozens of methods building on it and hundreds of applications across different use cases. This report introduces TabPFN-2.5,…

In modern applications such as ECG monitoring, neuroimaging, wearable sensing, and industrial equipment diagnostics, complex and continuously structured data are ubiquitous, presenting both challenges and opportunities for functional data…

Machine Learning · Computer Science 2026-03-03 Xiaoxian Zhu , Yingmeng Li , Shuangge Ma , Mengyun Wu

Magnetic resonance imaging (MRI) is an essential diagnostic tool that suffers from prolonged scan times. Reconstruction methods can alleviate this limitation by recovering clinically usable images from accelerated acquisitions. In…

Image and Video Processing · Electrical Eng. & Systems 2023-01-09 Salman UH Dar , Şaban Öztürk , Muzaffer Özbey , Tolga Çukur

Graphs are a central representation in biomedical research, capturing molecular interaction networks, gene regulatory circuits, cell--cell communication maps, and knowledge graphs. Despite their importance, currently there is not a broadly…

Machine Learning · Computer Science 2026-04-09 Sakib Mostafa , Lei Xing , Md. Tauhidul Islam

Recently, applying the novel data mining techniques for evaluating enterprise financial distress has received much research alternation. Support Vector Machine (SVM) and back propagation neural (BPN) network has been applied successfully in…

Machine Learning · Computer Science 2010-07-30 Ming-Chang Lee , Chang To

Model fusion aims to integrate several deep neural network (DNN) models' knowledge into one by fusing parameters, and it has promising applications, such as improving the generalization of foundation models and parameter averaging in…

Machine Learning · Computer Science 2025-10-28 Zexi Li , Zhiqi Li , Jie Lin , Tao Shen , Jun Xiao , Yike Guo , Tao Lin , Chao Wu

Despite their theoretical appealingness, Bayesian neural networks (BNNs) are left behind in real-world adoption, mainly due to persistent concerns on their scalability, accessibility, and reliability. In this work, we develop the…

Machine Learning · Computer Science 2022-10-14 Zhijie Deng , Jun Zhu

Computing the importance of features in supervised classification tasks is critical for model interpretability. Shapley values are a widely used approach for explaining model predictions, but require direct access to the underlying model,…

Machine Learning · Computer Science 2026-05-18 Joao Fonseca , Julia Stoyanovich

Simulation-based inference (SBI) is a statistical inference approach for estimating latent parameters of a physical system when the likelihood is intractable but simulations are available. In practice, SBI is often hindered by model…

Machine Learning · Computer Science 2025-10-22 Ortal Senouf , Antoine Wehenkel , Cédric Vincent-Cuaz , Emmanuel Abbé , Pascal Frossard

The parametrized post-Einsteinian (ppE) framework and its variants are widely used to probe gravity through gravitational-wave tests that apply to a large class of theories beyond general relativity. However, the ppE framework is not truly…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Yiqi Xie , Deep Chatterjee , Gautham Narayan , Nicolás Yunes

There exists a dichotomy between classical probabilistic graphical models, such as Bayesian networks (BNs), and modern tractable models, such as sum-product networks (SPNs). The former generally have intractable inference, but provide a…

Artificial Intelligence · Computer Science 2020-05-20 Cory J. Butz , Jhonatan S. Oliveira , Robert Peharz

Approximate Bayesian computation (ABC) is a simulation-based likelihood-free method applicable to both model selection and parameter estimation. ABC parameter estimation requires the ability to forward simulate datasets from a candidate…

Methodology · Statistics 2020-11-10 Louis Raynal , Sixing Chen , Antonietta Mira , Jukka-Pekka Onnela

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

Machine Learning · Statistics 2023-05-02 Aliaksandr Hubin , Geir Storvik

The development of tabular foundation models (TFMs) has accelerated in recent years, showing strong potential to outperform traditional ML methods for structured data. A key finding is that TFMs can be pretrained entirely on synthetic…

Machine Learning · Computer Science 2025-12-04 Matthew Peroni , Franck Le , Vadim Sheinin
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