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Metrics specifying distances between data points can be learned in a discriminative manner or from generative models. In this paper, we show how to unify generative and discriminative learning of metrics via a kernel learning framework.…

Machine Learning · Computer Science 2011-09-26 Yuan Shi , Yung-Kyun Noh , Fei Sha , Daniel D. Lee

Explaining the generalization characteristics of deep learning is an emerging topic in advanced machine learning. There are several unanswered questions about how learning under stochastic optimization really works and why certain…

Machine Learning · Computer Science 2022-04-01 Mahdi S. Hosseini , Mathieu Tuli , Konstantinos N. Plataniotis

We show that training of generative adversarial network (GAN) may not have good generalization properties; e.g., training may appear successful but the trained distribution may be far from target distribution in standard metrics. However,…

Machine Learning · Computer Science 2017-08-03 Sanjeev Arora , Rong Ge , Yingyu Liang , Tengyu Ma , Yi Zhang

One way to interpret trained deep neural networks (DNNs) is by inspecting characteristics that neurons in the model respond to, such as by iteratively optimising the model input (e.g., an image) to maximally activate specific neurons.…

Machine Learning · Computer Science 2019-07-02 Saumitra Mishra , Daniel Stoller , Emmanouil Benetos , Bob L. Sturm , Simon Dixon

A great interest has arisen in using Deep Generative Models (DGM) for generative design. When assessing the quality of the generated designs, human designers focus more on structural plausibility, e.g., no missing component, rather than…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Jiajie Fan , Amal Trigui , Thomas Bäck , Hao Wang

While it is nearly effortless for humans to quickly assess the perceptual similarity between two images, the underlying processes are thought to be quite complex. Despite this, the most widely used perceptual metrics today, such as PSNR and…

Computer Vision and Pattern Recognition · Computer Science 2018-04-12 Richard Zhang , Phillip Isola , Alexei A. Efros , Eli Shechtman , Oliver Wang

Models for learning probability distributions such as generative models and density estimators behave quite differently from models for learning functions. One example is found in the memorization phenomenon, namely the ultimate convergence…

Machine Learning · Statistics 2021-03-03 Hongkang Yang , Weinan E

It is well-known that modern neural networks are vulnerable to adversarial examples. To mitigate this problem, a series of robust learning algorithms have been proposed. However, although the robust training error can be near zero via some…

Machine Learning · Computer Science 2022-10-17 Binghui Li , Jikai Jin , Han Zhong , John E. Hopcroft , Liwei Wang

Graph Neural Networks (GNNs) are powerful tools for learning on structured data, yet the relationship between their expressivity and predictive performance remains unclear. We introduce a family of premetrics that capture different degrees…

Machine Learning · Computer Science 2025-05-19 Sohir Maskey , Raffaele Paolino , Fabian Jogl , Gitta Kutyniok , Johannes F. Lutzeyer

Although deep neural networks are effective on supervised learning tasks, they have been shown to be brittle. They are prone to overfitting on their training distribution and are easily fooled by small adversarial perturbations. In this…

Machine Learning · Computer Science 2020-10-07 Laëtitia Shao , Yang Song , Stefano Ermon

Along with the rapid development of deep learning in practice, the theoretical explanations for its success become urgent. Generalization and expressivity are two widely used measurements to quantify theoretical behaviors of deep learning.…

Machine Learning · Computer Science 2018-03-26 Shao-Bo Lin

Recently, information theoretic analysis has become a popular framework for understanding the generalization behavior of deep neural networks. It allows a direct analysis for stochastic gradient/Langevin descent (SGD/SGLD) learning…

Machine Learning · Statistics 2023-05-03 Yuxin Dong , Tieliang Gong , Hong Chen , Chen Li

Implicit generative models, which do not return likelihood values, such as generative adversarial networks and diffusion models, have become prevalent in recent years. While it is true that these models have shown remarkable results,…

Machine Learning · Computer Science 2022-06-23 Eyal Betzalel , Coby Penso , Aviv Navon , Ethan Fetaya

With the recent success of generative models in image and text, the evaluation of generative models has gained a lot of attention. Whereas most generative models are compared in terms of scalar values such as Frechet Inception Distance…

Machine Learning · Computer Science 2024-05-06 Benjamin Sykes , Loic Simon , Julien Rabin

We present a novel metric for generative modeling evaluation, focusing primarily on generative networks. The method uses dendrograms to represent real and fake data, allowing for the divergence between training and generated samples to be…

Machine Learning · Computer Science 2023-11-29 Gustavo Sutter Carvalho , Moacir Antonelli Ponti

Score-based generative models (SGMs) have emerged as one of the most popular classes of generative models. A substantial body of work now exists on the analysis of SGMs, focusing either on discretization aspects or on their statistical…

Machine Learning · Statistics 2026-02-10 Benjamin Dupuis , Dario Shariatian , Maxime Haddouche , Alain Durmus , Umut Simsekli

The successes of modern deep machine learning methods are founded on their ability to transform inputs across multiple layers to build good high-level representations. It is therefore critical to understand this process of representation…

Machine Learning · Statistics 2023-05-26 Adam X. Yang , Maxime Robeyns , Edward Milsom , Ben Anson , Nandi Schoots , Laurence Aitchison

Domain generalization (DG) deals with the problem of domain shift where a machine learning model trained on multiple-source domains fail to generalize well on a target domain with different statistics. Multiple approaches have been proposed…

Computer Vision and Pattern Recognition · Computer Science 2020-07-29 Prashant Pandey , Mrigank Raman , Sumanth Varambally , Prathosh AP

When solving inverse problems in geophysical imaging, deep generative models (DGMs) may be used to enforce the solution to display highly structured spatial patterns which are supported by independent information (e.g. the geological…

Geophysics · Physics 2021-04-28 Jorge Lopez-Alvis , Eric Laloy , Frédéric Nguyen , Thomas Hermans

The paradigm shift from shallow classifiers with hand-crafted features to end-to-end trainable deep learning models has shown significant improvements on supervised learning tasks. Despite the promising power of deep neural networks (DNN),…

Machine Learning · Computer Science 2017-06-09 Chih-Kuan Yeh , Yao-Hung Hubert Tsai , Yu-Chiang Frank Wang
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