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Ordinary differential equations (ODEs), via their induced flow maps, provide a powerful framework to parameterize invertible transformations for the purpose of representing complex probability distributions. While such models have achieved…

Statistics Theory · Mathematics 2023-09-06 Youssef Marzouk , Zhi Ren , Sven Wang , Jakob Zech

We propose a reduced-order modeling approach for nonlinear, parameter-dependent ordinary differential equations (ODE). Dimensionality reduction is achieved using nonlinear maps represented by autoencoders. The resulting low-dimensional ODE…

Numerical Analysis · Mathematics 2026-04-16 Enrico Ballini , Marco Gambarini , Alessio Fumagalli , Luca Formaggia , Anna Scotti , Paolo Zunino

We present an approach based on feed-forward neural networks for learning the distribution of textual documents. This approach is inspired by the Neural Autoregressive Distribution Estimator(NADE) model, which has been shown to be a good…

Machine Learning · Computer Science 2016-03-21 Stanislas Lauly , Yin Zheng , Alexandre Allauzen , Hugo Larochelle

While deep neural networks have proven to be a powerful tool for many recognition and classification tasks, their stability properties are still not well understood. In the past, image classifiers have been shown to be vulnerable to…

Computer Vision and Pattern Recognition · Computer Science 2019-01-14 Rima Alaifari , Giovanni S. Alberti , Tandri Gauksson

Although Convolutional Neural Networks (CNNs) have achieved promising results in image classification, they still are vulnerable to affine transformations including rotation, translation, flip and shuffle. The drawback motivates us to…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Zijie Tan , Guanfang Dong , Chenqiu Zhao , Anup Basu

We introduce ODEFormer, the first transformer able to infer multidimensional ordinary differential equation (ODE) systems in symbolic form from the observation of a single solution trajectory. We perform extensive evaluations on two…

Machine Learning · Computer Science 2023-10-10 Stéphane d'Ascoli , Sören Becker , Alexander Mathis , Philippe Schwaller , Niki Kilbertus

Anomaly detection and localization without any manual annotations and prior knowledge is a challenging task under the setting of unsupervised learning. The existing works achieve excellent performance in the anomaly detection, but with…

Computer Vision and Pattern Recognition · Computer Science 2024-05-16 Honghui Chen , Pingping Chen , Huan Mao , Mengxi Jiang

Non-autoregressive neural machine translation (NAT) generates each target word in parallel and has achieved promising inference acceleration. However, existing NAT models still have a big gap in translation quality compared to…

Computation and Language · Computer Science 2020-12-17 Qiu Ran , Yankai Lin , Peng Li , Jie Zhou

The Variational Autoencoder (VAE) is a powerful framework for learning probabilistic latent variable generative models. However, typical assumptions on the approximate posterior distribution of the encoder and/or the prior, seriously…

Machine Learning · Computer Science 2020-07-13 Ifigeneia Apostolopoulou , Elan Rosenfeld , Artur Dubrawski

Autoencoders are a type of unsupervised neural networks, which can be used to solve various tasks, e.g., dimensionality reduction, image compression, and image denoising. An AE has two goals: (i) compress the original input to a…

Computer Vision and Pattern Recognition · Computer Science 2022-11-24 Firas Laakom , Jenni Raitoharju , Alexandros Iosifidis , Moncef Gabbouj

We introduce a new way of learning to encode position information for non-recurrent models, such as Transformer models. Unlike RNN and LSTM, which contain inductive bias by loading the input tokens sequentially, non-recurrent models are…

Machine Learning · Computer Science 2020-03-23 Xuanqing Liu , Hsiang-Fu Yu , Inderjit Dhillon , Cho-Jui Hsieh

We study how the training data distribution affects confidence and performance in image classification models. We introduce Embedding Density, a model-agnostic framework that estimates prediction confidence by measuring the distance of test…

Machine Learning · Computer Science 2026-01-28 Maksim Kazanskii , Artem Kasianov

Online learning has become crucial to many problems in machine learning. As more data is collected sequentially, quickly adapting to changes in the data distribution can offer several competitive advantages such as avoiding loss of prior…

Machine Learning · Computer Science 2017-12-15 Thushan Ganegedara , Lionel Ott , Fabio Ramos

This work is focussed on the inversion task of inferring the distribution over parameters of interest leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by increasing…

Machine Learning · Statistics 2026-05-06 Arnaud Vadeboncoeur , Mark Girolami , Andrew M. Stuart

Detecting out-of-distribution (OOD) samples is crucial to the safe deployment of a classifier in the real world. However, deep neural networks are known to be overconfident for abnormal data. Existing works directly design score function by…

Computer Vision and Pattern Recognition · Computer Science 2023-01-06 Wenyu Jiang , Yuxin Ge , Hao Cheng , Mingcai Chen , Shuai Feng , Chongjun Wang

We consider the problem of distributed estimation of an unknown deterministic scalar parameter (the target signal) in a wireless sensor network (WSN), where each sensor receives a single snapshot of the field. We assume that the observation…

Information Theory · Computer Science 2015-10-09 Qing Zhou , Di Li , Soummya Kar , Lauren Huie , H. Vincent Poor , Shuguang Cui

Deep neural networks have attained remarkable performance when applied to data that comes from the same distribution as that of the training set, but can significantly degrade otherwise. Therefore, detecting whether an example is…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Yen-Chang Hsu , Yilin Shen , Hongxia Jin , Zsolt Kira

Transformers are often the go-to architecture to build foundation models that ingest a large amount of training data. But these models do not estimate the probability density distribution when trained on regression problems, yet obtaining…

Machine Learning · Computer Science 2024-07-23 Henry W. Leung , Jo Bovy , Joshua S. Speagle

We present the discriminative recurrent sparse auto-encoder model, comprising a recurrent encoder of rectified linear units, unrolled for a fixed number of iterations, and connected to two linear decoders that reconstruct the input and…

Machine Learning · Computer Science 2013-03-20 Jason Tyler Rolfe , Yann LeCun

Reasoning over an instance composed of a set of vectors, like a point cloud, requires that one accounts for intra-set dependent features among elements. However, since such instances are unordered, the elements' features should remain…

Machine Learning · Computer Science 2020-08-07 Yang Li , Haidong Yi , Christopher M. Bender , Siyuan Shan , Junier B. Oliva