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Machine learning models perform well across domains such as diagnostics, weather forecasting, NLP, and autonomous driving, but their limited uncertainty handling restricts use in safety-critical settings. Traditional neural networks often…

Machine Learning · Computer Science 2025-12-01 Bernhard Klein , Falk Selker , Hendrik Borras , Sophie Steger , Franz Pernkopf , Holger Fröning

Binary Neural Networks (BNNs) are neural networks which use binary weights and activations instead of the typical 32-bit floating point values. They have reduced model sizes and allow for efficient inference on mobile or embedded devices…

Machine Learning · Computer Science 2020-03-25 Joseph Bethge , Christian Bartz , Haojin Yang , Ying Chen , Christoph Meinel

There is a significant performance gap between Binary Neural Networks (BNNs) and floating point Deep Neural Networks (DNNs). We propose to improve the binary training method, by introducing a new regularization function that encourages…

Machine Learning · Computer Science 2020-04-22 Sajad Darabi , Mouloud Belbahri , Matthieu Courbariaux , Vahid Partovi Nia

Bayesian Neural Networks (BNNs) often result uncalibrated after training, usually tending towards overconfidence. Devising effective calibration methods with low impact in terms of computational complexity is thus of central interest. In…

Machine Learning · Computer Science 2020-08-18 Hector J. Hortua , Luigi Malago , Riccardo Volpi

Neural networks often operate in the overparameterized regime, in which there are far more parameters than training samples, allowing the training data to be fit perfectly. That is, training the network effectively learns an interpolating…

Machine Learning · Computer Science 2025-03-19 Suzanna Parkinson , Greg Ongie , Rebecca Willett

Neural networks are regularly employed in adaptive control of nonlinear systems and related methods of reinforcement learning. A common architecture uses a neural network with a single hidden layer (i.e. a shallow network), in which the…

Optimization and Control · Mathematics 2024-04-18 Andrew Lamperski , Tyler Lekang

Formal certification of Neural Networks (NNs) is crucial for ensuring their safety, fairness, and robustness. Unfortunately, on the one hand, sound and complete certification algorithms of ReLU-based NNs do not scale to large-scale NNs. On…

Machine Learning · Computer Science 2023-05-24 Haitham Khedr , Yasser Shoukry

Neural networks are known to be a class of highly expressive functions able to fit even random input-output mappings with $100\%$ accuracy. In this work, we present properties of neural networks that complement this aspect of expressivity.…

Neural network binarization accelerates deep models by quantizing their weights and activations into 1-bit. However, there is still a huge performance gap between Binary Neural Networks (BNNs) and their full-precision (FP) counterparts. As…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Yuzhang Shang , Dan Xu , Ziliang Zong , Liqiang Nie , Yan Yan

Bayesian neural networks perform variational inference over the weights however calculation of the posterior distribution remains a challenge. Our work builds on variational inference techniques for bayesian neural networks using the…

Machine Learning · Computer Science 2021-06-23 Abhinav Sagar

Currently, it is hard to reap the benefits of deep learning for Bayesian methods, which allow the explicit specification of prior knowledge and accurately capture model uncertainty. We present Prior-Data Fitted Networks (PFNs). PFNs…

Machine Learning · Computer Science 2024-08-14 Samuel Müller , Noah Hollmann , Sebastian Pineda Arango , Josif Grabocka , Frank Hutter

Neural networks are powerful function approximators with tremendous potential in learning complex distributions. However, they are prone to overfitting on spurious patterns. Bayesian inference provides a principled way to regularize neural…

Machine Learning · Computer Science 2024-12-02 Yanzhe Bekkemoen , Helge Langseth

Gaussian multiplicative noise is commonly used as a stochastic regularisation technique in training of deterministic neural networks. A recent paper reinterpreted the technique as a specific algorithm for approximate inference in Bayesian…

Machine Learning · Statistics 2017-11-09 Jiri Hron , Alexander G. de G. Matthews , Zoubin Ghahramani

Obtaining labeled data for machine learning tasks can be prohibitively expensive. Active learning mitigates this issue by exploring the unlabeled data space and prioritizing the selection of data that can best improve the model performance.…

Machine Learning · Computer Science 2021-04-21 Vineeth Rakesh , Swayambhoo Jain

In this paper we are concerned with the approximation of functions by single hidden layer neural networks with ReLU activation functions on the unit circle. In particular, we are interested in the case when the number of data-points exceeds…

Analysis of PDEs · Mathematics 2021-04-02 Benny Avelin , Vesa Julin

Recurrent neural networks (RNNs) are widely used in computational neuroscience and machine learning applications. In an RNN, each neuron computes its output as a nonlinear function of its integrated input. While the importance of RNNs,…

Neurons and Cognition · Quantitative Biology 2012-07-10 Sebastian Bitzer , Stefan J. Kiebel

Activation functions are essential for deep learning methods to learn and perform complex tasks such as image classification. Rectified Linear Unit (ReLU) has been widely used and become the default activation function across the deep…

Neural and Evolutionary Computing · Computer Science 2018-12-18 Hock Hung Chieng , Noorhaniza Wahid , Pauline Ong , Sai Raj Kishore Perla

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

Decoding human brain activities via functional magnetic resonance imaging (fMRI) has gained increasing attention in recent years. While encouraging results have been reported in brain states classification tasks, reconstructing the details…

Artificial Intelligence · Computer Science 2017-07-12 Changde Du , Changying Du , Huiguang He

Periodic activation functions, often referred to as learned Fourier features have been widely demonstrated to improve sample efficiency and stability in a variety of deep RL algorithms. Potentially incompatible hypotheses have been made…

Machine Learning · Computer Science 2025-03-20 Augustine N. Mavor-Parker , Matthew J. Sargent , Caswell Barry , Lewis Griffin , Clare Lyle