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Emerging Convolutions for Generative Normalizing Flows [article]

Emiel Hoogeboom, Rianne van den Berg, Max Welling
2019 arXiv   pre-print
Recently, Kingma & Dhariwal (2018) demonstrated with Glow that generative flows are capable of generating high quality images.  ...  We propose two methods to produce invertible convolutions that have receptive fields identical to standard convolutions: Emerging convolutions are obtained by chaining specific autoregressive convolutions  ...  The definition of several generative normalizing flows. All flow functions have an inverse and determinant that are straightforward to compute.  ... 
arXiv:1901.11137v3 fatcat:6dfh43y4zbg5fdc4xasyx2u6hi

CInC Flow: Characterizable Invertible 3x3 Convolution [article]

Sandeep Nagar, Marius Dufraisse, Girish Varma
2021 arXiv   pre-print
Normalizing flows are an essential alternative to GANs for generative modelling, which can be optimized directly on the maximum likelihood of the dataset.  ...  We study conditions such that 3×3 CNNs are invertible, allowing them to construct expressive normalizing flows. We derive necessary and sufficient conditions on a padded CNN for it to be invertible.  ...  An essential type of Likelihood-based Generative models is normalizing flow-based models.  ... 
arXiv:2107.01358v1 fatcat:pcnjdwfsyjh7pbaknl7x6it3u4

Fast Flow Reconstruction via Robust Invertible nxn Convolution [article]

Thanh-Dat Truong, Khoa Luu, Chi Nhan Duong, Ngan Le, Minh-Triet Tran
2022 arXiv   pre-print
Flow-based generative models have recently become one of the most efficient approaches to model data generation.  ...  Glow first introduced a simple type of generative flow using an invertible 1 × 1 convolution. However, the 1 × 1 convolution suffers from limited flexibility compared to the standard convolutions.  ...  Table 1 . 1 Comparative invertible functions in several generative normalizing flows.  ... 
arXiv:1905.10170v3 fatcat:wejue6zthnf27jcbh7qi6ztuwi

Fast Flow Reconstruction via Robust Invertible n×n Convolution

Thanh-Dat Truong, Chi Nhan Duong, Minh-Triet Tran, Ngan Le, Khoa Luu
2021 Future Internet  
Flow-based generative models have recently become one of the most efficient approaches to model data generation.  ...  Glow first introduced a simple type of generative flow using an invertible 1×1 convolution. However, the 1×1 convolution suffers from limited flexibility compared to the standard convolutions.  ...  The authors would like to thank the reviewers for their valuable comments. Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/fi13070179 fatcat:565c33rsvndjbj3qmrqmgfbtom

Woodbury Transformations for Deep Generative Flows [article]

You Lu, Bert Huang
2021 arXiv   pre-print
Normalizing flows are deep generative models that allow efficient likelihood calculation and sampling.  ...  Other similar operations, such as 1x1 convolutions, emerging convolutions, or periodic convolutions allow at most two of these three advantages.  ...  Acknowledgments We thank NVIDIA's GPU Grant Program and Amazon's AWS Cloud Credits for Research program for their support.  ... 
arXiv:2002.12229v3 fatcat:fvdm3ucyr5hrjhrfv3mqu6wskq

The Convolution Exponential and Generalized Sylvester Flows [article]

Emiel Hoogeboom, Victor Garcia Satorras, Jakub M. Tomczak, Max Welling
2020 arXiv   pre-print
Empirically, we show that the convolution exponential outperforms other linear transformations in generative flows on CIFAR10 and the graph convolution exponential improves the performance of graph normalizing  ...  In addition, we generalize Sylvester Flows and propose Convolutional Sylvester Flows which are based on the generalization and the convolution exponential as basis change.  ...  However, periodicity is generally not a good inductive bias for images, and emerging convolutions are autoregressive and their inverse is solved iteratively over dimensions.  ... 
arXiv:2006.01910v2 fatcat:t3bdtfbkbbfqphe6ww2pf22fbm

MaCow: Masked Convolutional Generative Flow [article]

Xuezhe Ma, Xiang Kong, Shanghang Zhang, Eduard Hovy
2019 arXiv   pre-print
In this work, we introduce masked convolutional generative flow (MaCow), a simple yet effective architecture of generative flow using masked convolution.  ...  Despite their computational efficiency, the density estimation performance of flow-based generative models significantly falls behind those of state-of-the-art autoregressive models.  ...  Masked Convolutional Generative Flows In this section, we describe the architectural components of the masked convolutional generative flow (MACOW).  ... 
arXiv:1902.04208v5 fatcat:u4djxn3hwjf4ljwd63j7akyrwm

Invertible Convolutional Flow

Mahdi Karami, Dale Schuurmans, Jascha Sohl-Dickstein, Laurent Dinh, Daniel Duckworth
2019 Neural Information Processing Systems  
We show that these transforms allow more effective normalizing flow models to be developed for generative image models.  ...  As an alternative, we investigate a set of novel normalizing flows based on the circular and symmetric convolutions.  ...  For example, f * denotes the convolutional flow in general and σα is used to specify the pointwise nonlinear bijectors with its inverse being φα.  ... 
dblp:conf/nips/KaramiSSDD19 fatcat:sfkmxc3wprejhiwijheiadgoay

Intrusion Detection Algorithm Based on Convolutional Neural Network

YUCHEN LIU, SHENGLI LIU, XING ZHAO
2018 DEStech Transactions on Engineering and Technology Research  
Therefore, each flow training weight in IDS model cannot be balanced. Compared with other kinds of flows, DoS attack and normal flow are easier to detect.  ...  This is the main reason for why this thesis chose KDD99 dataset. There are 4,898,431 network flows in the dataset and each flow has 41 features.  ... 
doi:10.12783/dtetr/iceta2017/19916 fatcat:ss7fsz3ryrfddeiq7albfs6r4i

Flow-based Spatio-Temporal Structured Prediction of Dynamics [article]

Mohsen Zand, Ali Etemad, Michael Greenspan
2022 arXiv   pre-print
Conditional Normalizing Flows (CNFs) are flexible generative models capable of representing complicated distributions with high dimensionality and large interdimensional correlations, making them appealing  ...  We specifically propose to use conditional priors to factorize the latent space for the time dependent modeling. We also exploit the use of masked convolutions as autoregressive conditionals in CNFs.  ...  As shown in Figure 2 , masked convolutions with spatial and temporal orderings generate conditional weights for the steps of the normalizing flows.  ... 
arXiv:2104.04391v2 fatcat:adddsj6dfzbldk2p2zgkzuq6li

ButterflyFlow: Building Invertible Layers with Butterfly Matrices

Chenlin Meng, Linqi Zhou, Kristy Choi, Tri Dao, Stefano Ermon
2022 International Conference on Machine Learning  
Normalizing flows model complex probability distributions using maps obtained by composing invertible layers.  ...  Based on our invertible butterfly layers, we construct a new class of normalizing flow models called ButterflyFlow.  ...  The authors would like to thank Jiaming Song for the constructive feedback. This research was support by NSF (#1651565), AFOSR (FA95501910024), ARO (W911NF-21-1-0125) and Sloan Fellowship.  ... 
dblp:conf/icml/MengZCDE22 fatcat:ug6w4dsal5gyhmpofeg2syapui

Self Normalizing Flows [article]

T. Anderson Keller, Jorn W.T. Peters, Priyank Jaini, Emiel Hoogeboom, Patrick Forré, Max Welling
2021 arXiv   pre-print
In this work, we propose Self Normalizing Flows, a flexible framework for training normalizing flows by replacing expensive terms in the gradient by learned approximate inverses at each layer.  ...  Efficient gradient computation of the Jacobian determinant term is a core problem in many machine learning settings, and especially so in the normalizing flow framework.  ...  A General Framework for Self Normalizing Flows Preliminaries Given an observation x ∈ R D , it is assumed that x is generated from an underlying real vector z ∈ R D through an invertible and differentiable  ... 
arXiv:2011.07248v2 fatcat:2v2xzvp2tzb3blaj5popop6xxe

A convolution method to assess subgrid‐scale interactions between flow and patchy vegetation in biogeomorphic models

Olivier Gourgue, Jim Belzen, Christian Schwarz, Tjeerd J. Bouma, Johan Koppel, Stijn Temmerman
2020 Journal of Advances in Modeling Earth Systems  
This new methodology allows for spatially refining coarse-resolution hydrodynamic simulations of flow velocities (order of m) around fine-resolution patchy vegetation patterns (order of 10 cm).  ...  Finally, we estimate that replacing a fine-resolution model by a coarser-resolution model associated with the convolution method could reduce the computational time of real-life fluctuating flow simulations  ...  For SRM+, the general trend is easier to read. The relative error is smallest for the smallest patches because the convolution method is more efficient at that scale.  ... 
doi:10.1029/2020ms002116 fatcat:zd5lcode7vewrjyjft2nr2de6y

A new line integral convolution algorithm for visualizing time-varying flow fields

Han-Wei Shen, D.L. Kao
1998 IEEE Transactions on Visualization and Computer Graphics  
To visualize data generated from these simulations, traditional techniques, such as displaying particle traces, can only reveal flow phenomena in preselected local regions and, thus, are unable to track  ...  In addition, our algorithm maintains the coherence of the flow animation by successively updating the convolution results over time.  ...  Special thanks to Randy Kaemmerer for his meticulous proofreading of this manuscript, and to Michael Cox and David Ellsworth for interesting discussions and valuable suggestions in the parallel implementation  ... 
doi:10.1109/2945.694952 fatcat:tkmn626qhfeyrn2ltf4xa3k6fq

A Deep Pedestrian Tracking SSD-Based Model in the Sudden Emergency or Violent Environment

Zhihong Li, Yang Dong, Yanjie Wen, Han Xu, Jiahao Wu, Xinqiang Chen
2021 Journal of Advanced Transportation  
In general, the model has good tracking results and credibility for multitarget tracking in emergency environment.  ...  The research provides technical support for safety assurance and behavior monitoring in emergency environment.  ...  accuracy and speed are improved. e detection speed for abnormal states is higher than normal states; on the contrary, the detection accuracy for normal is higher than it for abnormal.  ... 
doi:10.1155/2021/2085876 fatcat:l7hotbholnhsjebzk52okkj5nu
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