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Even though probabilistic treatments of neural networks have a long history, they have not found widespread use in practice. Sampling approaches are often too slow already for simple networks. The size of the inputs and the depth of typical…

Computer Vision and Pattern Recognition · Computer Science 2018-05-30 Jochen Gast , Stefan Roth

Deep Neural Networks (DNNs) deliver impressive performance but their black-box nature limits deployment in high-stakes domains requiring transparency. We introduce Compositional Function Networks (CFNs), a novel framework that builds…

Machine Learning · Computer Science 2025-08-01 Fang Li

It is often useful to perform integration over learned functions represented by neural networks. However, this integration is usually performed numerically, as analytical integration over learned functions (especially neural networks) is…

Machine Learning · Computer Science 2023-12-27 Ryan Kortvelesy

Graph Neural Networks (GNNs) extend basic Neural Networks (NNs) by additionally making use of graph structure based on the relational inductive bias (edge bias), rather than treating the nodes as collections of independent and identically…

Machine Learning · Computer Science 2023-11-07 Sitao Luan , Chenqing Hua , Qincheng Lu , Jiaqi Zhu , Xiao-Wen Chang , Doina Precup

Bayesian neural network models (BNN) have re-surged in recent years due to the advancement of scalable computations and its utility in solving complex prediction problems in a wide variety of applications. Despite the popularity and…

Machine Learning · Statistics 2020-11-20 Shrijita Bhattacharya , Zihuan Liu , Tapabrata Maiti

Neural networks achieve outstanding accuracy in classification and regression tasks. However, understanding their behavior still remains an open challenge that requires questions to be addressed on the robustness, explainability and…

Machine Learning · Computer Science 2021-05-13 Anna-Kathrin Kopetzki , Stephan Günnemann

Machine learning is gaining growing momentum in various recent models for the dynamic analysis of information flows in data communications networks. These preliminary models often rely on off-the-shelf learning models to predict from…

Machine Learning · Computer Science 2023-04-04 Xiangle Cheng , James He , Shihan Xiao , Yingxue Zhang , Zhitang Chen , Pascal Poupart , Fenglin Li

Graph neural networks (GNNs) have various practical applications, such as drug discovery, recommendation engines, and chip design. However, GNNs lack transparency as they cannot provide understandable explanations for their predictions. To…

Machine Learning · Computer Science 2023-06-09 Samidha Verma , Burouj Armgaan , Sourav Medya , Sayan Ranu

Existing methods for estimating uncertainty in deep learning tend to require multiple forward passes, making them unsuitable for applications where computational resources are limited. To solve this, we perform probabilistic reasoning over…

Machine Learning · Statistics 2020-12-08 Javier Antorán , James Urquhart Allingham , José Miguel Hernández-Lobato

Recent studies in neuroscience show great potential of functional brain networks constructed from fMRI data for popularity modeling and clinical predictions. However, existing functional brain networks are noisy and unaware of downstream…

Machine Learning · Computer Science 2021-07-26 Xuan Kan , Hejie Cui , Ying Guo , Carl Yang

Neural networks are often regarded as "black boxes" due to their complex functions and numerous parameters, which poses significant challenges for interpretability. This study addresses these challenges by introducing methods to enhance the…

Machine Learning · Statistics 2024-09-26 Mohamad Yamen AL Mohamad , Hossein Bevrani , Ali Akbar Haydari

Training neural networks on randomly generated artificial datasets yields Bayesian models that capture the prior defined by the dataset-generating distribution. Prior-data Fitted Networks (PFNs) are a class of methods designed to leverage…

Machine Learning · Computer Science 2025-06-02 Samuel Müller , Arik Reuter , Noah Hollmann , David Rügamer , Frank Hutter

Assessing the compliance of a white-box turbulence model with known turbulent knowledge is straightforward. It enables users to screen conventional turbulence models and identify apparent inadequacies, thereby allowing for a more focused…

Fluid Dynamics · Physics 2023-10-17 Peng E S Chen , Yuanwei Bin , Xiang I A Yang , Yipeng Shi , Mahdi Abkar , George I. Park

There exist many problem domains where the interpretability of neural network models is essential for deployment. Here we introduce a recurrent architecture composed of input-switched affine transformations - in other words an RNN without…

Artificial Intelligence · Computer Science 2017-06-14 Jakob N. Foerster , Justin Gilmer , Jan Chorowski , Jascha Sohl-Dickstein , David Sussillo

The recently developed Prior-Data Fitted Networks (PFNs) have shown very promising results for applications in low-data regimes. The TabPFN model, a special case of PFNs for tabular data, is able to achieve state-of-the-art performance on a…

Machine Learning · Computer Science 2024-07-24 David Rundel , Julius Kobialka , Constantin von Crailsheim , Matthias Feurer , Thomas Nagler , David Rügamer

Ternary Neural Networks (TNNs) have received much attention due to being potentially orders of magnitude faster in inference, as well as more power efficient, than full-precision counterparts. However, 2 bits are required to encode the…

Machine Learning · Computer Science 2021-07-30 Peng Chen , Bohan Zhuang , Chunhua Shen

Much of modern practice in financial forecasting relies on technicals, an umbrella term for several heuristics applying visual pattern recognition to price charts. Despite its ubiquity in financial media, the reliability of its signals…

Computational Finance · Quantitative Finance 2018-07-12 Sid Ghoshal , Stephen J. Roberts

Recurrent Neural Networks (RNNs) represent the de facto standard machine learning tool for sequence modelling, owing to their expressive power and memory. However, when dealing with large dimensional data, the corresponding exponential…

Machine Learning · Computer Science 2021-05-12 Yao Lei Xu , Giuseppe G. Calvi , Danilo P. Mandic

Machine learning models are used for pattern recognition analysis of big data, without direct human intervention. The task of unsupervised learning is to find the probability distribution that would best describe the available data, and…

Quantum Physics · Physics 2026-05-14 Apoorva D. Patel

The accurate prediction of biological features from genomic data is paramount for precision medicine and sustainable agriculture. For decades, neural network models have been widely popular in fields like computer vision, astrophysics and…

Genomics · Quantitative Biology 2022-03-15 Zhaoyi Zhang , Songyang Cheng , Claudia Solis-Lemus