extended-criticality-dnn: A Mathematica repository from CKQu1

1. Preface

Github repository for the paper Dynamical and computational properties of heavy-tailed deep neural networks, currently submitted and under revision.

To install requirements:

pip install -r requirements.txt

To use singularity container:

PBS_O_WORKDIR="/project/phys_DL/extended-criticality-dnn" 
cpath="../built_containers/FaContainer_v2.sif" 
bpath="/project"
singularity shell -B ${bpath} --home ${PBS_O_WORKDIR} ${cpath}

2. Pretrained network statistics

We extract pretrained networks from Pytorch and iteratively fit the entries of each weight matrix (not including biases or batch-normalization layers) independently as a Levy alpha-stable and Gaussian distribution respetively via maximum likelihood.

---------- Old version ----------

Download the weight matrices into the weights_all directory:

python pretrained_workflow/pretrained_download.py

Fit the distributions

python pretrained_workflow/pretrained_wfit.py

Plot the results

python pretrained_workflow/pretrained_metaplot_grid.py

---------- New version ----------

Download pretrained image classification DNN performance (can use ChatGPT) from https://pytorch.org/vision/stable/models.html, this is saved in this repo as tables/torch_pretrained_performance.csv, need to move this to the appropripate dir as it is used in pretrained_workflow/pretrained_download.py.
Download weights (same as old version above)
Check if weights are all saved:

python -W ignore -i pretrained_workflow/pretrained_download.py pretrained_store_check

Fit the full distribution

python pretrained_workflow/pretrained_wfit.py pretrained_allfit /project/PDLAI/project2_data/pretrained_workflow/np_weights_all 0 True

- weight_path: the dir of the stored weights (divided into 2 networks dir from either torch or tensorflow)

- n_weight (int): integer index of the weight matrix

- with_logl (bool): return log-likelihood or not

Fit the distribution tails

python pretrained_workflow/pretrained_wfit.py pretrained_ww_plfit /project/PDLAI/project2_data/pretrained_workflow/weights_all /project/PDLAI/project2_data/pretrained_workflow/ww_plfit_all 0 True

or use submission version:

python pretrained_workflow/pretrained_wfit.py batch_pretrained_plfit batch_plfit_submit

- weight_path: the dir of the stored weights (divided into 2 networks dir from either torch or tensorflow)

- n_weight (int): integer index of the weight matrix

- with_logl (bool): return log-likelihood or not

Summarize the results

python pretrained_workflow/pretrained_postfit.py postfit_stats True

- pytorch (bool): whether pretrained networks are from torch library

3. Random DNN analysis

Circular manifold projection

A circule manifold is propagated through a network at different initialization schemes. Final hidden layer is evaluated corresponding to a 2D random circular manifold embedded in $\mathbb{R}^N$ and propagated through $L$ layers of a MLP initialized at $(\alpha, \sigma_w)$, the angles $[0, 2\pi)$ are divided into N_thetas intervals:

python geometry_analysis/great_circle_proj2.py gcircle_save N L N_thetas 100alpha 100sigma_w

Computation of the top 3 principal components further requires:

python geometry_analysis/great_circle_proj2.py preplot alpha sigma_w

To plot the circular manifold projected on the top 3 principal components (PC):

python geometry_analysis/great_circle_proj2.py gcircle_plot

Phase transition of coefficient of variation

To propagation a circular manifold as above, the following is another method

python random_dnn/random_dnn.py SEM_save N L N_theta alpha100 g100 rep

where N, $L$, N_theta are the save as above; alpha100 = $100\alpha$ and $g100 = 100 \sigma_w$; rep is the repetition of the randomization.

The coefficient of variation (CV) corresponding to Eq. 6 of the main text of a MLP initialized at $(\alpha, \sigma_w)$ up to $L$ layers with rep amount of network ensembles can be evaluated and saved using:

python random_dnn/random_dnn.py SEM_preplot alpha100 g100

Finally, plot the phase transition figure for the CV for $L = 15,25,35$ as in the main text:

python random_dnn/random_dnn.py SEM_plot path 15,25,35

4. Network training

The following includes the updated and old scripts for network-training where all the necessary quantities associated in the manuscript are saved accordingly.

New version

This updated training script is more concise and keeps log of all previously trained networks. To train heavy-tailed/Gaussian initialized multilayer perceptrons (MLPs), i.e. FC10 a MLP with 10 hidden layers, on the MNIST dataset and $(\alpha, \sigma_w) = (1,1)$; standard SGD algorithm with 1024 batch size and learning rate of 0.001 for 650 epochs.

python train_supervised.py train_ht_dnn mnist 100 100 sgd 1024 None None {root_path} 0.001 650

Similary, to train heavy-tailed/Gaussian initialized convolution neural networks (CNNs):

python train_supervised.py train_ht_cnn cifar10 100 100 sgd alexnet fc_default

Old version

The original main focus of theory is revolved around fully-connected neural networks/MLPs, the following are examples of training, please see main.py for training options. For network types, please see train_DNN_code/model_loader.py for loading method and the module train_DNN_code/models for model options.

python main.py --model=fc5_mnist_tanh --init_dict=stable --init_alpha=1.5 --init_scale_multiplier=2 --save_epoch=50 --epochs=650 --lr=0.1 --batch_size=256 --dataset=mnist

5. Post-training analysis

Accuracy transition diagram

To get an accuracy transition diagram as the following, a resolution for $\alpha \in [1,2]$ and $D_w^{1/\alpha}$ must be decided apriori, and a network shall be trained on this grid of initialization schemes:

python main.py --model=fc5_mnist_tanh --init_dict=stable --init_alpha=$alpha$ --init_scale_multiplier=$D_w$ --save_epoch=50 --epochs=650 --lr=0.1 --batch_size=256 --dataset=mnist

After training, the test accuracy, loss and stopping epoch can be extracted and the plot can also be simultaneously generated via:

python tranasition_plot_functions/mlp_acc_phase.py mlp_accloss_phase test

In a similar fashion the train accuracy, loss and stopping epoch and also be obtained for AlexNet via

python tranasition_plot_functions/cnn_acc_phase.py cnn_accloss_phase

Layerwise Jacobian eigenvectors

Saving the input-output layerwise Jacobian eigenvectors (very storage-consuming) for trained MLP (FC10 in the main text):

python dq_analysis/jac_fcn.py jac_save post alpha100 g100 input_idxs epoch

post: 0 is preactivation and 1 is post-activation
input_idxs: the index of the train dataset
epoch: epoch of the network trained up to, given that the network parameters are saved for it

Conversion to $D_q$:

python dq_analysis/jac_fcn.py jac_to_dq alpha100 g100 input_idx epoch post reig

input_idx has to match the above
reig: 0 is left eigenvector and 1 is right eigenvector

Plotting the results for the Jacobian eigenvectors:

python dq_analysis/jac_mfrac_plot.py eigvec_magnitude

python dq_analysis/jac_mfrac_plot.py dq_vs_q

python dq_analysis/jac_mfrac_plot.py d2_vs_depth

Neural representation principal components

Similar to above, we analyze the Neural representation principal components (NPCs lol) for networks under different initializations, for getting the neural representations for different layers in the first place:

python dq_analysis/npc_fcn.py npc_layerwise post alpha100 g100 epochs

epochs: for example, if you want to plot for epochs 0 and 650 assuming the weights are saved epochs has to be a string in the form of [0,650] (no spaces)

Now to get the corresponding correlation dimension $D_2$:

python dq_analysis/npc_fcn.py npc_layerwise_d2 post alpha100 g100 epochs

Finally, plotting the results:

python dq_analysis/npc_mfrac_post_plot.py metrics_vs_depth

6. Pretrained CNNs

SNR metrics

First, download the pretrained networks from PyTorch

python pretrained_workflow/pretrained_download.py pretrained_store_dnn

n_model: index of the model from the library

and TensorFlow

python pretrained_workflow/pretrained_download.py pretrained_store_dnn_tf

Then get the signal-to-noise ratio (SNR) and its related geometrical metrics Github Ref. [2]:

python fewshot-learning/pretrained_macaque_stimuli.py snr_components {model_name} {pretrained}

model_name: must match the file name, equivalent to the string name for importing the network
pretrained: True or False, if True then pretrained on ImageNet1K

modify snr_submit() function:

python fewshot-learning/pretrained_macaque_stimuli.py snr_submit snr_components

Afterwards, compute the CNN's NPC $D_2$ (can be executed simulatenously with the above):

python fewshot-learning/pretrained_macaque_stimuli.py snr_d2_mbatch {model_name} {pretrained}

modify snr_submit() function:

python fewshot-learning/pretrained_macaque_stimuli.py snr_submit snr_d2_mbatch

Finally plot the results:

python fewshot-learning/pretrained_macaque_stimuli.py snr_metric_plot

python fewshot-learning/pretrained_macaque_stimuli.py extra_metric_plot

PBS scripts

Use the following scripts if any of the computations related to SNR and $D_2$ timed out (with certains changes):

PBS_script/ macaque_stimuli_remainder.sh (first)
PBS_script/ macaque_stimuli_d2.sh (second)

Resource guide for simulations

SNR (fewshot-learning/pretrained_macaque_stimuli.py snr_components)
- level 1: "alexnet" (12GB)
- level 2: "resnet18", "resnet34", "resnet50", "resnext50_32x4d", "squeezenet1_1", "wide_resnet50_2" (24GB)
- level 3: "squeezenet1_0", "resnet101", "resnet152", "resnext101_32x8d", "wide_resnet101_2" (32GB)
d2 (fewshot-learning/pretrained_macaque_stimuli.py snr_d2_mbatch)
- level 1: "alexnet", "resnet18" (8GB)
- level 2: "resnet34", "resnet50", "resnext50_32x4d", "squeezenet1_0", "squeezenet1_1", "wide_resnet50_2" (16GB)
- level 3: "resnet101", "resnet152", "resnext101_32x8d", "wide_resnet101_2" (32GB)

144125956230044931 4856 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 4969929 Jan 6 2023 pretrained_workflow/pretrained_dnns/squeezenet1_1/model_pt 144125956230044929 4904 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 5021641 Jan 6 2023 pretrained_workflow/pretrained_dnns/squeezenet1_0/model_pt 144125956230044925 5500 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 5628381 Jan 6 2023 pretrained_workflow/pretrained_dnns/shufflenet_v2_x0_5/model_pt 144125956230044881 8864 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 9075725 Jan 6 2023 pretrained_workflow/pretrained_dnns/mnasnet0_5/model_pt 144125956230044927 9092 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 9304285 Jan 6 2023 pretrained_workflow/pretrained_dnns/shufflenet_v2_x1_0/model_pt 144125956230044893 10088 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 10323353 Jan 6 2023 pretrained_workflow/pretrained_dnns/mobilenet_v3_small/model_pt 144126829047901337 12632 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 12930185 Jan 3 17:30 pretrained_workflow/pretrained_dnns/mnasnet0_75/model_pt 144126854146602012 13920 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 14249777 Jan 3 17:30 pretrained_workflow/pretrained_dnns/shufflenet_v2_x1_5/model_pt 144125956230044887 13952 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 14282637 Jan 6 2023 pretrained_workflow/pretrained_dnns/mobilenet_v2/model_pt 144126854817651667 17260 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 17669251 Jan 3 17:31 pretrained_workflow/pretrained_dnns/regnet_y_400mf/model_pt 144125956230044883 17392 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 17804045 Jan 6 2023 pretrained_workflow/pretrained_dnns/mnasnet1_0/model_pt 144126854381531263 21004 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 21502043 Jan 3 17:30 pretrained_workflow/pretrained_dnns/efficientnet_b0/model_pt 144125956230044889 21648 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 22159953 Jan 6 2023 pretrained_workflow/pretrained_dnns/mobilenet_v3_large/model_pt 144126854381531328 21816 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 22332375 Jan 3 17:31 pretrained_workflow/pretrained_dnns/regnet_x_400mf/model_pt 144126854784103603 24864 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 25453641 Jan 3 17:30 pretrained_workflow/pretrained_dnns/mnasnet1_3/model_pt 144126854381531326 25416 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 26018927 Jan 3 17:31 pretrained_workflow/pretrained_dnns/regnet_y_800mf/model_pt 144125956230044875 26068 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 26693201 Jan 6 2023 pretrained_workflow/pretrained_dnns/googlenet/model_pt 144126854867979678 28656 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 29335555 Jan 3 17:31 pretrained_workflow/pretrained_dnns/regnet_x_800mf/model_pt 144126854280852305 29156 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 29848049 Jan 3 17:31 pretrained_workflow/pretrained_dnns/shufflenet_v2_x2_0/model_pt 144126854381531265 30940 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 31677639 Jan 3 17:30 pretrained_workflow/pretrained_dnns/efficientnet_b1/model_pt 144125956230044867 31776 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 32531347 Jan 6 2023 pretrained_workflow/pretrained_dnns/densenet121/model_pt 144126854381531260 36100 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 36962247 Jan 3 17:30 pretrained_workflow/pretrained_dnns/efficientnet_b2/model_pt 144126854381531337 36228 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 37092191 Jan 3 17:31 pretrained_workflow/pretrained_dnns/regnet_x_1_6gf/model_pt 144126854146602019 44268 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 45324177 Jan 3 17:30 pretrained_workflow/pretrained_dnns/regnet_y_1_6gf/model_pt 144125956230044907 45752 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 46843277 Jan 6 2023 pretrained_workflow/pretrained_dnns/resnet18/model_pt 144126854381531267 48412 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 49565829 Jan 3 17:30 pretrained_workflow/pretrained_dnns/efficientnet_b3/model_pt 144125956230044871 56280 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 57623714 Jan 6 2023 pretrained_workflow/pretrained_dnns/densenet169/model_pt 144126830373319112 60220 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 61658465 Jan 3 17:32 pretrained_workflow/pretrained_dnns/regnet_x_3_2gf/model_pt 144126830624922454 76392 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 78217281 Jan 3 17:30 pretrained_workflow/pretrained_dnns/efficientnet_b4/model_pt 144126854381531330 76420 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 78249237 Jan 3 17:31 pretrained_workflow/pretrained_dnns/regnet_y_3_2gf/model_pt 144125956230044873 79536 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 81438370 Jan 6 2023 pretrained_workflow/pretrained_dnns/densenet201/model_pt 144126854784103607 84808 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 86836277 Jan 3 17:30 pretrained_workflow/pretrained_dnns/efficientnet_v2_s/model_pt 144125956230044911 85300 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 87341197 Jan 6 2023 pretrained_workflow/pretrained_dnns/resnet34/model_pt 144125956230044923 98156 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 100506689 Jan 6 2023 pretrained_workflow/pretrained_dnns/resnext50_32x4d/model_pt 144125956230044915 100160 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 102558721 Jan 6 2023 pretrained_workflow/pretrained_dnns/resnet50/model_pt 144125956230044877 106460 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 109007545 Jan 6 2023 pretrained_workflow/pretrained_dnns/inception_v3/model_pt 144126854784103684 110824 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 113478154 Jan 3 17:31 pretrained_workflow/pretrained_dnns/swin_t/model_pt 144126854381531350 111276 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 113939674 Jan 3 17:32 pretrained_workflow/pretrained_dnns/swin_v2_t/model_pt 144126854381531270 111780 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 114456781 Jan 3 17:30 pretrained_workflow/pretrained_dnns/convnext_tiny/model_pt 144125956230044869 113260 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 115977651 Jan 6 2023 pretrained_workflow/pretrained_dnns/densenet161/model_pt 144126854784103609 119804 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 122673005 Jan 3 17:30 pretrained_workflow/pretrained_dnns/efficientnet_b5/model_pt 144126830574580645 121696 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 124609469 Jan 3 17:32 pretrained_workflow/pretrained_dnns/maxvit_t/model_pt 144126825809891369 154372 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 158071917 Jan 3 17:31 pretrained_workflow/pretrained_dnns/regnet_y_8gf/model_pt 144126854733817426 155140 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 158857989 Jan 3 17:32 pretrained_workflow/pretrained_dnns/regnet_x_8gf/model_pt 144126829047901350 169484 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 173545961 Jan 3 17:30 pretrained_workflow/pretrained_dnns/efficientnet_b6/model_pt 144125956230044895 174660 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 178847581 Jan 6 2023 pretrained_workflow/pretrained_dnns/resnet101/model_pt 144126854784103686 194404 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 199063010 Jan 3 17:31 pretrained_workflow/pretrained_dnns/swin_s/model_pt 144126829047901417 195324 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 200004930 Jan 3 17:32 pretrained_workflow/pretrained_dnns/swin_v2_s/model_pt 144126854951967095 196376 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 201083435 Jan 3 17:30 pretrained_workflow/pretrained_dnns/convnext_small/model_pt 144126825809891371 212660 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 217756439 Jan 3 17:31 pretrained_workflow/pretrained_dnns/regnet_x_16gf/model_pt 144126829047901352 213168 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 218278107 Jan 3 17:30 pretrained_workflow/pretrained_dnns/efficientnet_v2_m/model_pt 144125956230044901 236060 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 241717817 Jan 6 2023 pretrained_workflow/pretrained_dnns/resnet152/model_pt 144125956230044865 238692 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 244412469 Jan 6 2023 pretrained_workflow/pretrained_dnns/alexnet/model_pt 144126829047901354 260972 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 267230875 Jan 3 17:30 pretrained_workflow/pretrained_dnns/efficientnet_b7/model_pt 144125956230044951 269464 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 275924097 Jan 6 2023 pretrained_workflow/pretrained_dnns/wide_resnet50_2/model_pt 144126854767359365 327036 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 334879249 Jan 3 17:32 pretrained_workflow/pretrained_dnns/resnext101_64x4d/model_pt 144126830557828332 327220 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 335062487 Jan 3 17:32 pretrained_workflow/pretrained_dnns/regnet_y_16gf/model_pt 144126829047901356 338240 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 346350507 Jan 3 17:31 pretrained_workflow/pretrained_dnns/vit_b_16/model_pt 144126825809891373 343476 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 351711906 Jan 3 17:31 pretrained_workflow/pretrained_dnns/swin_b/model_pt 144126854381531354 344516 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 352779522 Jan 3 17:32 pretrained_workflow/pretrained_dnns/swin_v2_b/model_pt 144126854146602021 344708 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 352976811 Jan 3 17:30 pretrained_workflow/pretrained_dnns/vit_b_32/model_pt 144126854951967795 346256 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 354554603 Jan 3 17:30 pretrained_workflow/pretrained_dnns/convnext_base/model_pt 144125956230044919 347864 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 356206557 Jan 6 2023 pretrained_workflow/pretrained_dnns/resnext101_32x8d/model_pt 144126854129873840 421984 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 432099653 Jan 3 17:32 pretrained_workflow/pretrained_dnns/regnet_x_32gf/model_pt 144126854951967747 465708 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 476877467 Jan 3 17:30 pretrained_workflow/pretrained_dnns/efficientnet_v2_l/model_pt 144125956230044949 496420 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 508327837 Jan 6 2023 pretrained_workflow/pretrained_dnns/wide_resnet101_2/model_pt 144125956230044933 519016 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 531465699 Jan 6 2023 pretrained_workflow/pretrained_dnns/vgg11/model_pt 144125956230044935 519072 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 531522219 Jan 6 2023 pretrained_workflow/pretrained_dnns/vgg11_bn/model_pt 144125956230044937 519740 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 532205719 Jan 6 2023 pretrained_workflow/pretrained_dnns/vgg13/model_pt 144125956230044939 519800 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 532268481 Jan 6 2023 pretrained_workflow/pretrained_dnns/vgg13_bn/model_pt 144125956230044941 540484 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 553447493 Jan 6 2023 pretrained_workflow/pretrained_dnns/vgg16/model_pt 144125956230044943 540568 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 553535234 Jan 6 2023 pretrained_workflow/pretrained_dnns/vgg16_bn/model_pt 144125956230044945 561224 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 574689203 Jan 6 2023 pretrained_workflow/pretrained_dnns/vgg19/model_pt 144125956230044947 561336 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 574802133 Jan 6 2023 pretrained_workflow/pretrained_dnns/vgg19_bn/model_pt 144126825809891375 567440 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 581048811 Jan 3 17:31 pretrained_workflow/pretrained_dnns/regnet_y_32gf/model_pt 144126854381531304 772740 -rw-r--r-- 1 chqu7424 RDS-FSC-PDLAI-RW 791258091 Jan 3 17:31 pretrained_workflow/pretrained_dnns/convnext_large/model_pt

Citation

@ARTICLE{
    2022arXiv220312967Q,
    author = {{Qu}, Cheng Kevin and {Wardak}, Asem and {Gong}, Pulin},       
    title = "{Extended critical regimes of deep neural networks}",        
    journal = {arXiv e-prints},      
    keywords = {Computer Science - Machine Learning, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Statistical Mechanics, Computer Science - Artificial Intelligence, Statistics - Machine Learning},     
    year = 2022,         
    month = mar,        
    eid = {arXiv:2203.12967},          
    pages = {arXiv:2203.12967},        
    archivePrefix = {arXiv},
    eprint = {2203.12967},       
    primaryClass = {cs.LG}, 
    adsurl = {https://arxiv.org/abs/2203.12967},       
}