paper-with-me

Papers

Robust Bayesian Neural Networks by Spectral Expectation Bound Regularization

2021-06-19 · CVPR 2021 1 · Jiaru Zhang, Yang Hua, Zhengui Xue, Tao Song, Chengyu Zheng, Ruhui Ma, Haibing Guan

Bayesian neural networks have been widely used in many applications because of the distinctive probabilistic representation framework. Even though Bayesian neural networks have been found more robust to adversarial attacks compared with vanilla neural networks, their ability to deal with adversarial noises in practice is still limited. In this paper, we propose Spectral Expectation Bound Regularization (SEBR) to enhance the robustness of Bayesian neural networks. Our theoretical analysis reveals that training with SEBR improves the robustness to adversarial noises. We also prove that training with SEBR can reduce the epistemic uncertainty of the model and hence it can make the model more confident with the predictions, which verifies the robustness of the model from another point of view. Experiments on multiple Bayesian neural network structures and different adversarial attacks validate the correctness of the theoretical findings and the effectiveness of the proposed approach.

📄 PDF Abstract BibTeX

Code (1)

AISIGSJTU/SEBR 공식 구현 pytorch

Similar Papers 제목 키워드 기반

PAC-Bayesian Bound for the Conditional Value at Risk

2020-06-26 · NeurIPS 2020 12 · Zakaria Mhammedi, Benjamin Guedj, Robert C. Williamson

Conditional Value at Risk (CVaR) is a family of "coherent risk measures" which generalize the traditional mathematical expectation. Widely used in mathematical finance, it is garnering increasing interest in machine lear…

Fairness

Bayesian Matrix Completion via Adaptive Relaxed Spectral Regularization

2015-12-03 · Yang Song, Jun Zhu

Bayesian matrix completion has been studied based on a low-rank matrix factorization formulation with promising results. However, little work has been done on Bayesian matrix completion based on the more direct spectral …

Bayesian InferenceCollaborative FilteringMatrix Completion

Kalman Filtering and Expectation Maximization for Multitemporal Spectral Unmixing

2020-01-02 · Ricardo Augusto Borsoi, Tales Imbiriba, Pau Closas, José Carlos Moreira Bermudez 외

The recent evolution of hyperspectral imaging technology and the proliferation of new emerging applications presses for the processing of multiple temporal hyperspectral images. In this work, we propose a novel spectral …

Variational Bayesian Inference of Line Spectra

2016-04-13 · Mihai-Alin Badiu, Thomas Lundgaard Hansen, Bernard Henri Fleury

In this paper, we address the fundamental problem of line spectral estimation in a Bayesian framework. We target model order and parameter estimation via variational inference in a probabilistic model in which the freque…

Bayesian Inferenceparameter estimationVariational Inference

Bayesian Atlas Building with Hierarchical Priors for Subject-specific Regularization

2021-07-12 · Jian Wang, Miaomiao Zhang

This paper presents a novel hierarchical Bayesian model for unbiased atlas building with subject-specific regularizations of image registration. We develop an atlas construction process that automatically selects paramet…

Image Registration