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Neural networks are vulnerable to input perturbations such as additive noise and adversarial attacks. In contrast, human perception is much more robust to such perturbations. The Bayesian brain hypothesis states that human brains use an…

Machine Learning · Computer Science 2020-11-11 Yujia Huang , James Gornet , Sihui Dai , Zhiding Yu , Tan Nguyen , Doris Y. Tsao , Anima Anandkumar

Energy-Based Models (EBMs) have been widely used for generative modeling. Contrastive Divergence (CD), a prevailing training objective for EBMs, requires sampling from the EBM with Markov Chain Monte Carlo methods (MCMCs), which leads to an…

Machine Learning · Computer Science 2023-07-06 Weijian Luo , Hao Jiang , Tianyang Hu , Jiacheng Sun , Zhenguo Li , Zhihua Zhang

We introduce Neural Conditional Probability (NCP), an operator-theoretic approach to learning conditional distributions with a focus on statistical inference tasks. NCP can be used to build conditional confidence regions and extract key…

Machine Learning · Computer Science 2025-06-03 Vladimir R. Kostic , Karim Lounici , Gregoire Pacreau , Pietro Novelli , Giacomo Turri , Massimiliano Pontil

Detecting critical transitions in complex, noisy time-series data is a fundamental challenge across science and engineering. Such transitions may be anticipated by the emergence of a low-dimensional order parameter, whose signature is often…

Machine Learning · Computer Science 2025-12-16 Wenqi Fang , Ye Li

Noise Contrastive Estimation (NCE) has fueled major breakthroughs in representation learning and generative modeling. Yet a long-standing challenge remains: accurately estimating ratios between distributions that differ substantially, which…

Neuron labeling assigns textual descriptions to internal units of deep networks. Existing approaches typically rely on highly activating examples, often yielding broad or misleading labels by focusing on dominant but incidental visual…

Computer Vision and Pattern Recognition · Computer Science 2026-04-30 Oussama Bouanani , Jim Berend , Wojciech Samek , Sebastian Lapuschkin , Maximilian Dreyer

Recent work has explored integrating autoregressive language models with energy-based models (EBMs) to enhance text generation capabilities. However, learning effective EBMs for text is challenged by the discrete nature of language. This…

Computation and Language · Computer Science 2023-11-14 Xuwang Yin

Despite impressive performance on numerous visual tasks, Convolutional Neural Networks (CNNs) --- unlike brains --- are often highly sensitive to small perturbations of their input, e.g. adversarial noise leading to erroneous decisions. We…

Deep energy-based models (EBMs) are very flexible in distribution parametrization but computationally challenging because of the intractable partition function. They are typically trained via maximum likelihood, using contrastive divergence…

Machine Learning · Computer Science 2020-07-22 Lantao Yu , Yang Song , Jiaming Song , Stefano Ermon

Deep Gaussian processes (DGPs), a hierarchical composition of GP models, have successfully boosted the expressive power of their single-layer counterpart. However, it is impossible to perform exact inference in DGPs, which has motivated the…

Machine Learning · Computer Science 2021-05-27 Haibin Yu , Dapeng Liu , Yizhou Chen , Bryan Kian Hsiang Low , Patrick Jaillet

Generating adversarial examples is the art of creating a noise that is added to an input signal of a classifying neural network, and thus changing the network's classification, while keeping the noise as tenuous as possible. While the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Roee Ben-Shlomo , Yevgeniy Men , Ido Imanuel

Deep Convolution Neural Networks (CNNs) can easily be fooled by subtle, imperceptible changes to the input images. To address this vulnerability, adversarial training creates perturbation patterns and includes them in the training set to…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Muzammal Naseer , Salman Khan , Munawar Hayat , Fahad Shahbaz Khan , Fatih Porikli

Concept Bottleneck Models (CBMs) enhance the interpretability of end-to-end neural networks by introducing a layer of concepts and predicting the class label from the concept predictions. A key property of CBMs is that they support…

Machine Learning · Computer Science 2026-03-03 Weixin Chen , Han Zhao

Recently, deep neural networks have significant progress and successful application in various fields, but they are found vulnerable to attack instances, e.g., adversarial examples. State-of-art attack methods can generate attack images by…

Machine Learning · Computer Science 2019-03-19 Ping Yu , Kaitao Song , Jianfeng Lu

Deterministic neural networks (NNs) are increasingly being deployed in safety critical domains, where calibrated, robust, and efficient measures of uncertainty are crucial. In this paper, we propose a novel method for training non-Bayesian…

Machine Learning · Computer Science 2020-11-25 Alexander Amini , Wilko Schwarting , Ava Soleimany , Daniela Rus

Contrastive learning on graphs aims at extracting distinguishable high-level representations of nodes. In this paper, we theoretically illustrate that the entropy of a dataset can be approximated by maximizing the lower bound of the mutual…

Machine Learning · Computer Science 2023-07-27 Yixuan Ma , Xiaolin Zhang , Peng Zhang , Kun Zhan

The great success of convolutional neural networks has caused a massive spread of the use of such models in a large variety of Computer Vision applications. However, these models are vulnerable to certain inputs, the adversarial examples,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-11 Stefanos Pertigkiozoglou , Petros Maragos

Conditional generative models are capable of using contextual information as input to create new imaginative outputs. Conditional Restricted Boltzmann Machines (CRBMs) are one class of conditional generative models that have proven to be…

Machine Learning · Computer Science 2023-05-16 Alex H. Lang , Anton D. Loukianov , Charles K. Fisher

We provide an approach for learning deep neural net representations of models described via conditional moment restrictions. Conditional moment restrictions are widely used, as they are the language by which social scientists describe the…

Econometrics · Economics 2018-04-25 Greg Lewis , Vasilis Syrgkanis

Energy-Based Models (EBMs), also known as non-normalized probabilistic models, specify probability density or mass functions up to an unknown normalizing constant. Unlike most other probabilistic models, EBMs do not place a restriction on…

Machine Learning · Computer Science 2021-02-19 Yang Song , Diederik P. Kingma