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Many machine/deep learning artificial neural networks are trained to simply be interpolation functions that map input variables to output values interpolated from the training data in a linear/nonlinear fashion. Even when the input/output…

计算物理 · 物理学 2020-03-18 Zhenglin Geng , Dan Johnson , Ronald Fedkiw

Generative adversarial networks (GANs) learn a deep generative model that is able to synthesise novel, high-dimensional data samples. New data samples are synthesised by passing latent samples, drawn from a chosen prior distribution,…

计算机视觉与模式识别 · 计算机科学 2018-02-16 Antonia Creswell , Anil A Bharath

Generative models dealing with modeling a~joint data distribution are generally either autoencoder or GAN based. Both have their pros and cons, generating blurry images or being unstable in training or prone to mode collapse phenomenon,…

机器学习 · 计算机科学 2020-09-17 Szymon Knop , Marcin Mazur , Przemysław Spurek , Jacek Tabor , Igor Podolak

We introduce Midpoint Generative Models (MGM), a principled framework for training one-step generative models. MGM is based on a simple symmetry of Flow Matching with linear interpolation: when the two endpoint distributions coincide, the…

机器学习 · 计算机科学 2026-05-29 Daniil Shlenskii , Nikita Gushchin , Lev Novitskiy , Dmitry V. Dylov , Alexander Korotin

Comparing the representations learned by different neural networks has recently emerged as a key tool to understand various architectures and ultimately optimize them. In this work, we introduce GULP, a family of distance measures between…

机器学习 · 计算机科学 2022-10-14 Enric Boix-Adsera , Hannah Lawrence , George Stepaniants , Philippe Rigollet

The field of deep generative modeling has succeeded in producing astonishingly realistic-seeming images and audio, but quantitative evaluation remains a challenge. Log-likelihood is an appealing metric due to its grounding in statistics and…

机器学习 · 计算机科学 2020-08-18 Sicong Huang , Alireza Makhzani , Yanshuai Cao , Roger Grosse

Many real-world objects are designed by smooth curves, especially in the domain of aerospace and ship, where aerodynamic shapes (e.g., airfoils) and hydrodynamic shapes (e.g., hulls) are designed. To facilitate the design process of those…

机器学习 · 计算机科学 2021-01-06 Wei Chen , Mark Fuge

Advances in deep generative and density models have shown impressive capacity to model complex probability density functions in lower-dimensional space. Also, applying such models to high-dimensional image data to model the PDF has shown…

机器学习 · 计算机科学 2019-11-13 John Just , Sambuddha Ghosal

This work presents a generative adversarial architecture for generating three-dimensional shapes based on signed distance representations. While the deep generation of shapes has been mostly tackled by voxel and surface point cloud…

计算机视觉与模式识别 · 计算机科学 2020-03-27 Marian Kleineberg , Matthias Fey , Frank Weichert

Modern generative models are roughly divided into two main categories: (1) models that can produce high-quality random samples, but cannot estimate the exact density of new data points and (2) those that provide exact density estimation, at…

机器学习 · 计算机科学 2022-06-24 Omri Ben-Dov , Pravir Singh Gupta , Victoria Fernandez Abrevaya , Michael J. Black , Partha Ghosh

Constrained generative modeling is fundamental to applications such as robotic control and autonomous driving, where models must respect physical laws and safety-critical constraints. In real-world settings, these constraints rarely take…

机器学习 · 计算机科学 2026-03-10 Xiaoxuan Liang , Saeid Naderiparizi , Yunpeng Liu , Berend Zwartsenberg , Frank Wood

We develop a new method for visualizing and refining the invariances of learned representations. Specifically, we test for a general form of invariance, linearization, in which the action of a transformation is confined to a low-dimensional…

计算机视觉与模式识别 · 计算机科学 2020-07-28 Olivier J. Hénaff , Eero P. Simoncelli

In recent years, Generative Adversarial Networks have become ubiquitous in both research and public perception, but how GANs convert an unstructured latent code to a high quality output is still an open question. In this work, we…

计算机视觉与模式识别 · 计算机科学 2021-06-07 Lucy Chai , Jonas Wulff , Phillip Isola

Although deep learning has achieved appealing results on several machine learning tasks, most of the models are deterministic at inference, limiting their application to single-modal settings. We propose a novel general-purpose framework…

机器学习 · 计算机科学 2020-10-12 Sameera Ramasinghe , Kanchana Ranasinghe , Salman Khan , Nick Barnes , Stephen Gould

Deep neural networks that yield human interpretable decisions by architectural design have lately become an increasingly popular alternative to post hoc interpretation of traditional black-box models. Among these networks, the arguably most…

计算机视觉与模式识别 · 计算机科学 2021-06-24 Adrian Hoffmann , Claudio Fanconi , Rahul Rade , Jonas Kohler

The over-parameterized models attract much attention in the era of data science and deep learning. It is empirically observed that although these models, e.g. deep neural networks, over-fit the training data, they can still achieve small…

机器学习 · 统计学 2019-09-27 Yue Xing , Qifan Song , Guang Cheng

Understanding network functionality requires integrating structure and dynamics, and emergent latent geometry induced by network-driven processes captures the low-dimensional spaces governing this interplay. Here, we focus on…

物理与社会 · 物理学 2025-12-02 Andrea Filippo Beretta , Davide Zanchetta , Sebastiano Bontorin , Manlio De Domenico

Inverse problems and inverse design in multiphase media, i.e., recovering or engineering microstructures to achieve target macroscopic responses, require operating on discrete-valued material fields, rendering the problem non-differentiable…

机器学习 · 统计学 2026-02-17 Matthaios Chatzopoulos , Phaedon-Stelios Koutsourelakis

Model stitching (Lenc & Vedaldi 2015) is a compelling methodology to compare different neural network representations, because it allows us to measure to what degree they may be interchanged. We expand on a previous work from Bansal,…

机器学习 · 计算机科学 2023-09-04 Adriano Hernandez , Rumen Dangovski , Peter Y. Lu , Marin Soljacic

We investigate the geometrical structure of probabilistic generative dimensionality reduction models using the tools of Riemannian geometry. We explicitly define a distribution over the natural metric given by the models. We provide the…

机器学习 · 统计学 2014-12-01 Alessandra Tosi , Søren Hauberg , Alfredo Vellido , Neil D. Lawrence
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