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We propose a new probabilistic framework that allows mobile robots to autonomously learn deep, generative models of their environments that span multiple levels of abstraction. Unlike traditional approaches that combine engineered models…

Robotics · Computer Science 2018-01-01 Andrzej Pronobis , Rajesh P. N. Rao

While significant theoretical progress has been achieved, unveiling the generalization mystery of overparameterized neural networks still remains largely elusive. In this paper, we study the generalization behavior of shallow neural…

Machine Learning · Computer Science 2022-09-21 Yunwen Lei , Rong Jin , Yiming Ying

Data fields sampled on irregularly spaced points arise in many applications in the sciences and engineering. For regular grids, Convolutional Neural Networks (CNNs) have been successfully used to gaining benefits from weight sharing and…

Machine Learning · Computer Science 2023-02-28 Nathaniel Trask , Ravi G. Patel , Ben J. Gross , Paul J. Atzberger

The Gaussian-radial-basis function neural network (GRBFNN) has been a popular choice for interpolation and classification. However, it is computationally intensive when the dimension of the input vector is high. To address this issue, we…

Machine Learning · Computer Science 2023-08-15 Siyuan Xing , Jianqiao Sun

Humans are not only adept in recognizing what class an input instance belongs to (i.e., classification task), but perhaps more remarkably, they can imagine (i.e., generate) plausible instances of a desired class with ease, when prompted.…

Neurons and Cognition · Quantitative Biology 2021-07-02 Ardavan Salehi Nobandegani , Thomas R. Shultz

Accurate simulation of granular flow dynamics is crucial for assessing various geotechnical risks, including landslides and debris flows. Granular flows involve a dynamic rearrangement of particles exhibiting complex transitions from…

Geophysics · Physics 2023-12-13 Yongjin Choi , Krishna Kumar

We present GERN, a novel scalable framework for training GNNs in node classification tasks, based on effective resistance, a standard tool in spectral graph theory. Our method progressively refines the GNN weights on a sequence of random…

Machine Learning · Computer Science 2025-02-25 Francesco Bonchi , Claudio Gentile , Francesco Paolo Nerini , André Panisson , Fabio Vitale

Real networks exhibit nontrivial topological features such as heavy-tailed degree distribution, high clustering, and small-worldness. Researchers have developed several generative models for synthesizing artificial networks that are…

Social and Information Networks · Computer Science 2014-02-04 Sadegh Motallebi , Sadegh Aliakbary , Jafar Habibi

Graph neural networks (GNNs) have achieved strong performance in various applications. In the real world, network data is usually formed in a streaming fashion. The distributions of patterns that refer to neighborhood information of nodes…

Machine Learning · Computer Science 2020-12-07 Junshan Wang , Guojie Song , Yi Wu , Liang Wang

Bayesian Neural Networks (BNNs) provide a promising framework for modeling predictive uncertainty and enhancing out-of-distribution robustness (OOD) by estimating the posterior distribution of network parameters. Stochastic Gradient Markov…

Machine Learning · Computer Science 2025-03-04 Hyunsu Kim , Giung Nam , Chulhee Yun , Hongseok Yang , Juho Lee

Bayesian inference allows us to define a posterior distribution over the weights of a generic neural network (NN). Exact posteriors are usually intractable, in which case approximations can be employed. One such approximation - variational…

Machine Learning · Computer Science 2026-01-30 Andrew Millard , Joshua Murphy , Peter Green , Simon Maskell

Markov networks (MNs) are a powerful way to compactly represent a joint probability distribution, but most MN structure learning methods are very slow, due to the high cost of evaluating candidates structures. Dependency networks (DNs)…

Machine Learning · Computer Science 2012-10-19 Daniel Lowd

Inspired by the success of Convolutional Neural Networks (CNNs) for supervised prediction in images, we design the Deconvolutional Generative Model (DGM), a new probabilistic generative model whose inference calculations correspond to those…

Computer Vision and Pattern Recognition · Computer Science 2019-12-10 Tan Nguyen , Nhat Ho , Ankit Patel , Anima Anandkumar , Michael I. Jordan , Richard G. Baraniuk

Graph neural networks are often used to model interacting dynamical systems since they gracefully scale to systems with a varying and high number of agents. While there has been much progress made for deterministic interacting systems,…

Machine Learning · Computer Science 2023-05-04 Andreas Look , Melih Kandemir , Barbara Rakitsch , Jan Peters

Inference tasks in signal processing are often characterized by the availability of reliable statistical modeling with some missing instance-specific parameters. One conventional approach uses data to estimate these missing parameters and…

Signal Processing · Electrical Eng. & Systems 2023-04-25 Nir Shlezinger , Tirza Routtenberg

Gaussian graphical models (GGMs) are widely used for statistical modeling, because of ease of inference and the ubiquitous use of the normal distribution in practical approximations. However, they are also known for their limited modeling…

Machine Learning · Statistics 2016-11-22 Qinliang Su , Xuejun Liao , Chunyuan Li , Zhe Gan , Lawrence Carin

This paper introduces the Sequential Monte Carlo Transformer, an original approach that naturally captures the observations distribution in a transformer architecture. The keys, queries, values and attention vectors of the network are…

Machine Learning · Computer Science 2020-12-16 Alice Martin , Charles Ollion , Florian Strub , Sylvain Le Corff , Olivier Pietquin

Graph Neural Networks (GNNs) have emerged as powerful tools for supervised machine learning over graph-structured data, while sampling-based node representation learning is widely utilized in unsupervised learning. However, scalability…

Machine Learning · Computer Science 2024-07-23 Vipul Gupta , Xin Chen , Ruoyun Huang , Fanlong Meng , Jianjun Chen , Yujun Yan

Deep dynamic generative models are developed to learn sequential dependencies in time-series data. The multi-layered model is designed by constructing a hierarchy of temporal sigmoid belief networks (TSBNs), defined as a sequential stack of…

Machine Learning · Statistics 2015-09-24 Zhe Gan , Chunyuan Li , Ricardo Henao , David Carlson , Lawrence Carin

Standard neural networks are often overconfident when presented with data outside the training distribution. We introduce HyperGAN, a new generative model for learning a distribution of neural network parameters. HyperGAN does not require…

Machine Learning · Computer Science 2020-07-16 Neale Ratzlaff , Li Fuxin