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In this paper we provide a novel approach to the analysis of kinetic models for label switching, which are used for particle systems that can randomly switch between gradient flows in different energy landscapes. Besides problems in biology…

Analysis of PDEs · Mathematics 2022-12-09 Martin Burger , Alex Rossi

We propose to utilize gradients for detecting adversarial and out-of-distribution samples. We introduce confounding labels -- labels that differ from normal labels seen during training -- in gradient generation to probe the effective…

Machine Learning · Computer Science 2022-07-05 Jinsol Lee , Mohit Prabhushankar , Ghassan AlRegib

Generative adversarial networks (GANs) are a framework that learns a generative distribution through adversarial training. Recently, their class-conditional extensions (e.g., conditional GAN (cGAN) and auxiliary classifier GAN (AC-GAN))…

Computer Vision and Pattern Recognition · Computer Science 2019-05-06 Takuhiro Kaneko , Yoshitaka Ushiku , Tatsuya Harada

Despite success on a wide range of problems related to vision, generative adversarial networks (GANs) often suffer from inferior performance due to unstable training, especially for text generation. To solve this issue, we propose a new…

Machine Learning · Computer Science 2020-11-02 Yue Wu , Pan Zhou , Andrew Gordon Wilson , Eric P. Xing , Zhiting Hu

Generating confidence calibrated outputs is of utmost importance for the applications of deep neural networks in safety-critical decision-making systems. The output of a neural network is a probability distribution where the scores are…

Machine Learning · Computer Science 2021-09-17 Chihuang Liu , Joseph JaJa

This work proposes the continuous conditional generative adversarial network (CcGAN), the first generative model for image generation conditional on continuous, scalar conditions (termed regression labels). Existing conditional GANs (cGANs)…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Xin Ding , Yongwei Wang , Zuheng Xu , William J. Welch , Z. Jane Wang

In order to alleviate the notorious mode collapse phenomenon in generative adversarial networks (GANs), we propose a novel training method of GANs in which certain fake samples are considered as real ones during the training process. This…

Machine Learning · Computer Science 2020-03-17 Song Tao , Jia Wang

In spite of the dominant performances of deep neural networks, recent works have shown that they are poorly calibrated, resulting in over-confident predictions. Miscalibration can be exacerbated by overfitting due to the minimization of the…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Bingyuan Liu , Ismail Ben Ayed , Adrian Galdran , Jose Dolz

Generative Adversarial Networks (GANs) are a popular formulation to train generative models for complex high dimensional data. The standard method for training GANs involves a gradient descent-ascent (GDA) procedure on a minimax…

Machine Learning · Computer Science 2023-05-30 Evan Becker , Parthe Pandit , Sundeep Rangan , Alyson K. Fletcher

Due to the latest advances in technology, telescopes with significant sky coverage will produce millions of astronomical alerts per night that must be classified both rapidly and automatically. Currently, classification consists of…

Instrumentation and Methods for Astrophysics · Physics 2022-08-17 Germán García-Jara , Pavlos Protopapas , Pablo A. Estévez

Generative adversarial networks (GANs) usually struggle in learning from highly diverse data, whose underlying manifold is complex. In this work, we revisit the mathematical foundations of GANs, and theoretically reveal that the native…

Machine Learning · Computer Science 2025-10-02 Mengfei Xia , Yujun Shen , Ceyuan Yang , Ran Yi , Wenping Wang , Yong-Jin Liu

We study Label-Smoothing as a means for improving adversarial robustness of supervised deep-learning models. After establishing a thorough and unified framework, we propose several variations to this general method: adversarial, Boltzmann…

Machine Learning · Computer Science 2019-10-16 Morgane Goibert , Elvis Dohmatob

Despite the successes in capturing continuous distributions, the application of generative adversarial networks (GANs) to discrete settings, like natural language tasks, is rather restricted. The fundamental reason is the difficulty of…

Artificial Intelligence · Computer Science 2017-02-28 Tong Che , Yanran Li , Ruixiang Zhang , R Devon Hjelm , Wenjie Li , Yangqiu Song , Yoshua Bengio

In the last decade, the approximate vanishing ideal and its basis construction algorithms have been extensively studied in computer algebra and machine learning as a general model to reconstruct the algebraic variety on which noisy data…

Machine Learning · Statistics 2019-11-12 Hiroshi Kera , Yoshihiko Hasegawa

The goal of active learning is to achieve the same accuracy achievable by passive learning, while using much fewer labels. Exponential savings in terms of label complexity have been proved in very special cases, but fundamental lower bounds…

Machine Learning · Statistics 2026-01-01 Yinglun Zhu , Robert Nowak

We introduce Kernel Density Discrimination GAN (KDD GAN), a novel method for generative adversarial learning. KDD GAN formulates the training as a likelihood ratio optimization problem where the data distributions are written explicitly via…

Machine Learning · Computer Science 2021-07-14 Abdelhak Lemkhenter , Adam Bielski , Alp Eren Sari , Paolo Favaro

This paper studies generative adversarial networks (GANs) from the perspective of statistical inference. A GAN is a popular machine learning method in which the parameters of two neural networks, a generator and a discriminator, are…

Statistics Theory · Mathematics 2023-12-06 Mika Meitz

Generative adversarial networks (GANs) form a generative modeling approach known for producing appealing samples, but they are notably difficult to train. One common way to tackle this issue has been to propose new formulations of the GAN…

Machine Learning · Computer Science 2020-09-01 Gauthier Gidel , Hugo Berard , Gaëtan Vignoud , Pascal Vincent , Simon Lacoste-Julien

Non-convex optimization problems are challenging to solve; the success and computational expense of a gradient descent algorithm or variant depend heavily on the initialization strategy. Often, either random initialization is used or…

Machine Learning · Computer Science 2020-12-23 Kartik Ahuja , Amit Dhurandhar , Kush R. Varshney

Exponentiated gradient descent (EGD), a biologically motivated optimisation algorithm that respects Dale's law, produces log-normally distributed synaptic weights at convergence, in alignment with experimental observations in neuroscience.…

Machine Learning · Computer Science 2026-05-26 Nishanth Shetty , Madhava Prasath , Chandra Sekhar Seelamantula