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Current physics-informed (standard or deep operator) neural networks still rely on accurately learning the initial and/or boundary conditions of the system of differential equations they are solving. In contrast, standard numerical methods…

Machine Learning · Computer Science 2024-06-25 Rüdiger Brecht , Dmytro R. Popovych , Alex Bihlo , Roman O. Popovych

Generative Adversarial Nets [8] were recently introduced as a novel way to train generative models. In this work we introduce the conditional version of generative adversarial nets, which can be constructed by simply feeding the data, y, we…

Machine Learning · Computer Science 2014-11-10 Mehdi Mirza , Simon Osindero

The ability to learn more and more concepts over time from incrementally arriving data is essential for the development of a life-long learning system. However, deep neural networks often suffer from forgetting previously learned concepts…

Machine Learning · Computer Science 2019-07-08 Huaiyu Li , Weiming Dong , Bao-Gang Hu

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

Machine Learning · Statistics 2019-01-16 Yibo Yang , Paris Perdikaris

Deep neural networks excel at function approximation, yet they are typically trained from scratch for each new function. On the other hand, Bayesian methods, such as Gaussian Processes (GPs), exploit prior knowledge to quickly infer the…

We consider deep multivariate models for heterogeneous collections of random variables. In the context of computer vision, such collections may e.g. consist of images, segmentations, image attributes, and latent variables. When developing…

Machine Learning · Computer Science 2026-02-03 Dmitrij Schlesinger , Boris Flach , Alexander Shekhovtsov

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

Machine Learning · Statistics 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

We consider the application of deep generative models in propagating uncertainty through complex physical systems. Specifically, we put forth an implicit variational inference formulation that constrains the generative model output to…

Machine Learning · Statistics 2018-12-11 Yibo Yang , Paris Perdikaris

Deep neural networks have become the default choice for many applications like image and video recognition, segmentation and other image and video related tasks.However, a critical challenge with these models is the lack of…

Computer Vision and Pattern Recognition · Computer Science 2021-09-02 Sunil Kumar Vengalil , Neelam Sinha

In this work a novel, automated process for constructing and initializing deep feed-forward neural networks based on decision trees is presented. The proposed algorithm maps a collection of decision trees trained on the data into a…

Machine Learning · Computer Science 2018-07-04 K. D. Humbird , J. L. Peterson , R. G. McClarren

Bayesian Networks may be appealing for clinical decision-making due to their inclusion of causal knowledge, but their practical adoption remains limited as a result of their inability to deal with unstructured data. While neural networks do…

Machine Learning · Computer Science 2022-11-16 Paloma Rabaey , Cedric De Boom , Thomas Demeester

The pervasiveness of "Internet-of-Things" in our daily life has led to a recent surge in fog computing, encompassing a collaboration of cloud computing and edge intelligence. To that effect, deep learning has been a major driving force…

Machine Learning · Computer Science 2020-05-25 Yinghan Long , Indranil Chakraborty , Kaushik Roy

We present a method that trains large capacity neural networks with significantly improved accuracy and lower dynamic computational cost. We achieve this by gating the deep-learning architecture on a fine-grained-level. Individual…

Machine Learning · Computer Science 2020-04-06 Babak Ehteshami Bejnordi , Tijmen Blankevoort , Max Welling

The quality of data representation in deep learning methods is directly related to the prior model imposed on the representations; however, generally used fixed priors are not capable of adjusting to the context in the data. To address this…

Machine Learning · Computer Science 2013-03-18 Rakesh Chalasani , Jose C. Principe

Probabilistic graphical models are a central tool in AI; however, they are generally not as expressive as deep neural models, and inference is notoriously hard and slow. In contrast, deep probabilistic models such as sum-product networks…

Machine Learning · Computer Science 2019-10-01 Xiaoting Shao , Alejandro Molina , Antonio Vergari , Karl Stelzner , Robert Peharz , Thomas Liebig , Kristian Kersting

Most existing cross-modal generative methods based on diffusion models use guidance to provide control over the latent space to enable conditional generation across different modalities. Such methods focus on providing guidance through…

Machine Learning · Computer Science 2023-05-31 Zizhao Hu , Mohammad Rostami

Predictive coding (PC) is a general theory of cortical function. The local, gradient-based learning rules found in one kind of PC model have recently been shown to closely approximate backpropagation. This finding suggests that this…

Neural and Evolutionary Computing · Computer Science 2021-12-09 Nick Alonso , Emre Neftci

Causal inference from observational data plays critical role in many applications in trustworthy machine learning. While sound and complete algorithms exist to compute causal effects, many of them assume access to conditional likelihoods,…

Machine Learning · Computer Science 2024-11-04 Md Musfiqur Rahman , Matt Jordan , Murat Kocaoglu

We propose to use deep learning to estimate parameters in statistical models when standard likelihood estimation methods are computationally infeasible. We show how to estimate parameters from max-stable processes, where inference is…

Methodology · Statistics 2021-08-02 Amanda Lenzi , Julie Bessac , Johann Rudi , Michael L. Stein

This article summarizes principles and ideas from the emerging area of applying \textit{conditional computation} methods to the design of neural networks. In particular, we focus on neural networks that can dynamically activate or…

Machine Learning · Computer Science 2024-07-09 Simone Scardapane , Alessandro Baiocchi , Alessio Devoto , Valerio Marsocci , Pasquale Minervini , Jary Pomponi