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mannequin inversion assault by instance


How personal are particular person knowledge within the context of machine studying fashions? The info used to coach the mannequin, say. There are
kinds of fashions the place the reply is easy. Take k-nearest-neighbors, for instance. There isn’t even a mannequin with out the
full dataset. Or assist vector machines. There is no such thing as a mannequin with out the assist vectors. However neural networks? They’re simply
some composition of features, – no knowledge included.

The identical is true for knowledge fed to a deployed deep-learning mannequin. It’s fairly unlikely one might invert the ultimate softmax
output from an enormous ResNet and get again the uncooked enter knowledge.

In idea, then, “hacking” a typical neural internet to spy on enter knowledge sounds illusory. In follow, nevertheless, there may be all the time
some real-world context. The context could also be different datasets, publicly out there, that may be linked to the “personal” knowledge in
query. It is a common showcase utilized in advocating for differential privateness(Dwork et al. 2006): Take an “anonymized” dataset,
dig up complementary info from public sources, and de-anonymize information advert libitum. Some context in that sense will
typically be utilized in “black-box” assaults, ones that presuppose no insider details about the mannequin to be hacked.

However context will also be structural, similar to within the situation demonstrated on this publish. For instance, assume a distributed
mannequin, the place units of layers run on totally different units – embedded units or cellphones, for instance. (A situation like that
is usually seen as “white-box”(Wu et al. 2016), however in widespread understanding, white-box assaults in all probability presuppose some extra
insider information, similar to entry to mannequin structure and even, weights. I’d due to this fact choose calling this white-ish at
most.) — Now assume that on this context, it’s doable to intercept, and work together with, a system that executes the deeper
layers of the mannequin. Based mostly on that system’s intermediate-level output, it’s doable to carry out mannequin inversion(Fredrikson et al. 2014),
that’s, to reconstruct the enter knowledge fed into the system.

On this publish, we’ll show such a mannequin inversion assault, principally porting the method given in a
pocket book
discovered within the PySyft repository. We then experiment with totally different ranges of
(epsilon)-privacy, exploring influence on reconstruction success. This second half will make use of TensorFlow Privateness,
launched in a earlier weblog publish.

Half 1: Mannequin inversion in motion

Instance dataset: All of the world’s letters

The general technique of mannequin inversion used right here is the next. With no, or scarcely any, insider information a few mannequin,
– however given alternatives to repeatedly question it –, I need to learn to reconstruct unknown inputs primarily based on simply mannequin
outputs . Independently of unique mannequin coaching, this, too, is a coaching course of; nevertheless, usually it won’t contain
the unique knowledge, as these gained’t be publicly out there. Nonetheless, for finest success, the attacker mannequin is skilled with knowledge as
related as doable to the unique coaching knowledge assumed. Pondering of photographs, for instance, and presupposing the favored view
of successive layers representing successively coarse-grained options, we would like that the surrogate knowledge to share as many
illustration areas with the actual knowledge as doable – as much as the very highest layers earlier than last classification, ideally.

If we wished to make use of classical MNIST for example, one factor we might do is to solely use among the digits for coaching the
“actual” mannequin; and the remainder, for coaching the adversary. Let’s strive one thing totally different although, one thing which may make the
endeavor more durable in addition to simpler on the identical time. Tougher, as a result of the dataset options exemplars extra complicated than MNIST
digits; simpler due to the identical purpose: Extra might probably be discovered, by the adversary, from a fancy process.

Initially designed to develop a machine mannequin of idea studying and generalization (Lake, Salakhutdinov, and Tenenbaum 2015), the
OmniGlot dataset incorporates characters from fifty alphabets, cut up into two
disjoint teams of thirty and twenty alphabets every. We’ll use the group of twenty to coach our goal mannequin. Here’s a
pattern:


Sample from the twenty-alphabet set used to train the target model (originally: 'evaluation set')

Determine 1: Pattern from the twenty-alphabet set used to coach the goal mannequin (initially: ‘analysis set’)

The group of thirty we don’t use; as a substitute, we’ll make use of two small five-alphabet collections to coach the adversary and to check
reconstruction, respectively. (These small subsets of the unique “large” thirty-alphabet set are once more disjoint.)

Right here first is a pattern from the set used to coach the adversary.


Sample from the five-alphabet set used to train the adversary (originally: 'background small 1')

Determine 2: Pattern from the five-alphabet set used to coach the adversary (initially: ‘background small 1’)

The opposite small subset shall be used to check the adversary’s spying capabilities after coaching. Let’s peek at this one, too:


Sample from the five-alphabet set used to test the adversary after training(originally: 'background small 2')

Determine 3: Pattern from the five-alphabet set used to check the adversary after coaching(initially: ‘background small 2’)

Conveniently, we are able to use tfds, the R wrapper to TensorFlow Datasets, to load these subsets:

Now first, we prepare the goal mannequin.

Practice goal mannequin

The dataset initially has 4 columns: the picture, of dimension 105 x 105; an alphabet id and a within-dataset character id; and a
label. For our use case, we’re probably not within the process the goal mannequin was/is used for; we simply need to get on the
knowledge. Principally, no matter process we select, it’s not far more than a dummy process. So, let’s simply say we prepare the goal to
classify characters by alphabet.

We thus throw out all unneeded options, retaining simply the alphabet id and the picture itself:

# normalize and work with a single channel (photographs are black-and-white anyway)
preprocess_image <- perform(picture) {
  picture %>%
    tf$forged(dtype = tf$float32) %>%
    tf$truediv(y = 255) %>%
    tf$picture$rgb_to_grayscale()
}

# use the primary 11000 photographs for coaching
train_ds <- omni_train %>% 
  dataset_take(11000) %>%
  dataset_map(perform(report) {
    report$picture <- preprocess_image(report$picture)
    checklist(report$picture, report$alphabet)}) %>%
  dataset_shuffle(1000) %>% 
  dataset_batch(32)

# use the remaining 2180 information for validation
val_ds <- omni_train %>% 
  dataset_skip(11000) %>%
  dataset_map(perform(report) {
    report$picture <- preprocess_image(report$picture)
    checklist(report$picture, report$alphabet)}) %>%
  dataset_batch(32)

The mannequin consists of two components. The primary is imagined to run in a distributed trend; for instance, on cellular units (stage
one). These units then ship mannequin outputs to a central server, the place last outcomes are computed (stage two). Positive, you’ll
be considering, this can be a handy setup for our situation: If we intercept stage one outcomes, we – likely – achieve
entry to richer info than what’s contained in a mannequin’s last output layer. — That’s appropriate, however the situation is
much less contrived than one would possibly assume. Similar to federated studying (McMahan et al. 2016), it fulfills vital desiderata: Precise
coaching knowledge by no means leaves the units, thus staying (in idea!) personal; on the identical time, ingoing visitors to the server is
considerably diminished.

In our instance setup, the on-device mannequin is a convnet, whereas the server mannequin is an easy feedforward community.

We hyperlink each collectively as a TargetModel that when known as usually, will run each steps in succession. Nevertheless, we’ll have the option
to name target_model$mobile_step() individually, thereby intercepting intermediate outcomes.

on_device_model <- keras_model_sequential() %>%
  layer_conv_2d(filters = 32, kernel_size = c(7, 7),
                input_shape = c(105, 105, 1), activation = "relu") %>%
  layer_batch_normalization() %>%
  layer_max_pooling_2d(pool_size = c(3, 3), strides = 3) %>%
  layer_dropout(0.2) %>%
  layer_conv_2d(filters = 32, kernel_size = c(7, 7), activation = "relu") %>%
  layer_batch_normalization() %>%
  layer_max_pooling_2d(pool_size = c(3, 3), strides = 2) %>%
  layer_dropout(0.2) %>%
  layer_conv_2d(filters = 32, kernel_size = c(5, 5), activation = "relu") %>%
  layer_batch_normalization() %>%
  layer_max_pooling_2d(pool_size = c(2, 2), strides = 2) %>%
  layer_dropout(0.2) %>%
  layer_conv_2d(filters = 32, kernel_size = c(3, 3), activation = "relu") %>%
  layer_batch_normalization() %>%
  layer_max_pooling_2d(pool_size = c(2, 2), strides = 2) %>%
  layer_dropout(0.2) 

server_model <- keras_model_sequential() %>%
  layer_dense(models = 256, activation = "relu") %>%
  layer_flatten() %>%
  layer_dropout(0.2) %>% 
  # we've simply 20 totally different ids, however they aren't in lexicographic order
  layer_dense(models = 50, activation = "softmax")

target_model <- perform() {
  keras_model_custom(identify = "TargetModel", perform(self) {
    
    self$on_device_model <-on_device_model
    self$server_model <- server_model
    self$mobile_step <- perform(inputs) 
      self$on_device_model(inputs)
    self$server_step <- perform(inputs)
      self$server_model(inputs)

    perform(inputs, masks = NULL) {
      inputs %>% 
        self$mobile_step() %>%
        self$server_step()
    }
  })
  
}

mannequin <- target_model()

The general mannequin is a Keras customized mannequin, so we prepare it TensorFlow 2.x –
type
. After ten epochs, coaching and validation accuracy are at ~0.84
and ~0.73, respectively – not dangerous in any respect for a 20-class discrimination process.

loss <- loss_sparse_categorical_crossentropy
optimizer <- optimizer_adam()

train_loss <- tf$keras$metrics$Imply(identify='train_loss')
train_accuracy <-  tf$keras$metrics$SparseCategoricalAccuracy(identify='train_accuracy')

val_loss <- tf$keras$metrics$Imply(identify='val_loss')
val_accuracy <-  tf$keras$metrics$SparseCategoricalAccuracy(identify='val_accuracy')

train_step <- perform(photographs, labels) {
  with (tf$GradientTape() %as% tape, {
    predictions <- mannequin(photographs)
    l <- loss(labels, predictions)
  })
  gradients <- tape$gradient(l, mannequin$trainable_variables)
  optimizer$apply_gradients(purrr::transpose(checklist(
    gradients, mannequin$trainable_variables
  )))
  train_loss(l)
  train_accuracy(labels, predictions)
}

val_step <- perform(photographs, labels) {
  predictions <- mannequin(photographs)
  l <- loss(labels, predictions)
  val_loss(l)
  val_accuracy(labels, predictions)
}


training_loop <- tf_function(autograph(perform(train_ds, val_ds) {
  for (b1 in train_ds) {
    train_step(b1[[1]], b1[[2]])
  }
  for (b2 in val_ds) {
    val_step(b2[[1]], b2[[2]])
  }
  
  tf$print("Practice accuracy", train_accuracy$consequence(),
           "    Validation Accuracy", val_accuracy$consequence())
  
  train_loss$reset_states()
  train_accuracy$reset_states()
  val_loss$reset_states()
  val_accuracy$reset_states()
}))


for (epoch in 1:10) {
  cat("Epoch: ", epoch, " -----------n")
  training_loop(train_ds, val_ds)  
}
Epoch:  1  -----------
Practice accuracy 0.195090905     Validation Accuracy 0.376605511
Epoch:  2  -----------
Practice accuracy 0.472272724     Validation Accuracy 0.5243119
...
...
Epoch:  9  -----------
Practice accuracy 0.821454525     Validation Accuracy 0.720183492
Epoch:  10  -----------
Practice accuracy 0.840454519     Validation Accuracy 0.726605475

Now, we prepare the adversary.

Practice adversary

The adversary’s common technique shall be:

  • Feed its small, surrogate dataset to the on-device mannequin. The output acquired will be considered a (extremely)
    compressed model of the unique photographs.
  • Pass that “compressed” model as enter to its personal mannequin, which tries to reconstruct the unique photographs from the
    sparse code.
  • Examine unique photographs (these from the surrogate dataset) to the reconstruction pixel-wise. The aim is to reduce
    the imply (squared, say) error.

Doesn’t this sound lots just like the decoding aspect of an autoencoder? No surprise the attacker mannequin is a deconvolutional community.
Its enter – equivalently, the on-device mannequin’s output – is of dimension batch_size x 1 x 1 x 32. That’s, the data is
encoded in 32 channels, however the spatial decision is 1. Similar to in an autoencoder working on photographs, we have to
upsample till we arrive on the unique decision of 105 x 105.

That is precisely what’s occurring within the attacker mannequin:

attack_model <- perform() {
  
  keras_model_custom(identify = "AttackModel", perform(self) {
    
    self$conv1 <-layer_conv_2d_transpose(filters = 32, kernel_size = 9,
                                         padding = "legitimate",
                                         strides = 1, activation = "relu")
    self$conv2 <- layer_conv_2d_transpose(filters = 32, kernel_size = 7,
                                          padding = "legitimate",
                                          strides = 2, activation = "relu") 
    self$conv3 <- layer_conv_2d_transpose(filters = 1, kernel_size = 7,
                                          padding = "legitimate",
                                          strides = 2, activation = "relu")  
    self$conv4 <- layer_conv_2d_transpose(filters = 1, kernel_size = 5,
                                          padding = "legitimate",
                                          strides = 2, activation = "relu")
    
    perform(inputs, masks = NULL) {
      inputs %>% 
        # bs * 9 * 9 * 32
        # output = strides * (enter - 1) + kernel_size - 2 * padding
        self$conv1() %>%
        # bs * 23 * 23 * 32
        self$conv2() %>%
        # bs * 51 * 51 * 1
        self$conv3() %>%
        # bs * 105 * 105 * 1
        self$conv4()
    }
  })
  
}

attacker = attack_model()

To coach the adversary, we use one of many small (five-alphabet) subsets. To reiterate what was stated above, there isn’t a overlap
with the info used to coach the goal mannequin.

attacker_ds <- omni_spy %>% 
dataset_map(perform(report) {
    report$picture <- preprocess_image(report$picture)
    checklist(report$picture, report$alphabet)}) %>%
  dataset_batch(32)

Right here, then, is the attacker coaching loop, striving to refine the decoding course of over 100 – brief – epochs:

attacker_criterion <- loss_mean_squared_error
attacker_optimizer <- optimizer_adam()
attacker_loss <- tf$keras$metrics$Imply(identify='attacker_loss')
attacker_mse <-  tf$keras$metrics$MeanSquaredError(identify='attacker_mse')

attacker_step <- perform(photographs) {
  
  attack_input <- mannequin$mobile_step(photographs)
  
  with (tf$GradientTape() %as% tape, {
    generated <- attacker(attack_input)
    l <- attacker_criterion(photographs, generated)
  })
  gradients <- tape$gradient(l, attacker$trainable_variables)
  attacker_optimizer$apply_gradients(purrr::transpose(checklist(
    gradients, attacker$trainable_variables
  )))
  attacker_loss(l)
  attacker_mse(photographs, generated)
}


attacker_training_loop <- tf_function(autograph(perform(attacker_ds) {
  for (b in attacker_ds) {
    attacker_step(b[[1]])
  }
  
  tf$print("mse: ", attacker_mse$consequence())
  
  attacker_loss$reset_states()
  attacker_mse$reset_states()
}))

for (epoch in 1:100) {
  cat("Epoch: ", epoch, " -----------n")
  attacker_training_loop(attacker_ds)  
}
Epoch:  1  -----------
  mse:  0.530902684
Epoch:  2  -----------
  mse:  0.201351956
...
...
Epoch:  99  -----------
  mse:  0.0413453057
Epoch:  100  -----------
  mse:  0.0413028933

The query now could be, – does it work? Has the attacker actually discovered to deduce precise knowledge from (stage one) mannequin output?

Take a look at adversary

To check the adversary, we use the third dataset we downloaded, containing photographs from 5 yet-unseen alphabets. For show,
we choose simply the primary sixteen information – a very arbitrary choice, in fact.

test_ds <- omni_test %>% 
  dataset_map(perform(report) {
    report$picture <- preprocess_image(report$picture)
    checklist(report$picture, report$alphabet)}) %>%
  dataset_take(16) %>%
  dataset_batch(16)

batch <- as_iterator(test_ds) %>% iterator_get_next()
photographs <- batch[[1]]

attack_input <- mannequin$mobile_step(photographs)
generated <- attacker(attack_input) %>% as.array()

generated[generated > 1] <- 1
generated <- generated[ , , , 1]
generated %>%
  purrr::array_tree(1) %>%
  purrr::map(as.raster) %>%
  purrr::iwalk(~{plot(.x)})

Similar to in the course of the coaching course of, the adversary queries the goal mannequin (stage one), obtains the compressed
illustration, and makes an attempt to reconstruct the unique picture. (In fact, in the actual world, the setup can be totally different in
that the attacker would not be capable to merely examine the pictures, as is the case right here. There would thus must be a way
to intercept, and make sense of, community visitors.)

attack_input <- mannequin$mobile_step(photographs)
generated <- attacker(attack_input) %>% as.array()

generated[generated > 1] <- 1
generated <- generated[ , , , 1]
generated %>%
  purrr::array_tree(1) %>%
  purrr::map(as.raster) %>%
  purrr::iwalk(~{plot(.x)})

To permit for simpler comparability (and improve suspense …!), right here once more are the precise photographs, which we displayed already when
introducing the dataset:


First images from the test set, the way they really look.

Determine 4: First photographs from the take a look at set, the best way they actually look.

And right here is the reconstruction:


First images from the test set, as reconstructed by the adversary.

Determine 5: First photographs from the take a look at set, as reconstructed by the adversary.

In fact, it’s onerous to say how revealing these “guesses” are. There positively appears to be a connection to character
complexity; total, it looks like the Greek and Roman letters, that are the least complicated, are additionally those most simply
reconstructed. Nonetheless, in the long run, how a lot privateness is misplaced will very a lot rely upon contextual elements.

At first, do the exemplars within the dataset symbolize people or courses of people? If – as in actuality
– the character X represents a category, it may not be so grave if we have been capable of reconstruct “some X” right here: There are numerous
Xs within the dataset, all fairly related to one another; we’re unlikely to precisely to have reconstructed one particular, particular person
X. If, nevertheless, this was a dataset of particular person individuals, with all Xs being images of Alex, then in reconstructing an
X we’ve successfully reconstructed Alex.

Second, in much less apparent eventualities, evaluating the diploma of privateness breach will doubtless surpass computation of quantitative
metrics, and contain the judgment of area specialists.

Talking of quantitative metrics although – our instance looks like an ideal use case to experiment with differential
privateness.
Differential privateness is measured by (epsilon) (decrease is best), the primary thought being that solutions to queries to a
system ought to rely as little as doable on the presence or absence of a single (any single) datapoint.

So, we’ll repeat the above experiment, utilizing TensorFlow Privateness (TFP) so as to add noise, in addition to clip gradients, throughout
optimization of the goal mannequin. We’ll strive three totally different circumstances, leading to three totally different values for (epsilon)s,
and for every situation, examine the pictures reconstructed by the adversary.

Half 2: Differential privateness to the rescue

Sadly, the setup for this a part of the experiment requires a bit workaround. Making use of the flexibleness afforded
by TensorFlow 2.x, our goal mannequin has been a customized mannequin, becoming a member of two distinct phases (“cellular” and “server”) that might be
known as independently.

TFP, nevertheless, does nonetheless not work with TensorFlow 2.x, that means we’ve to make use of old-style, non-eager mannequin definitions and
coaching. Fortunately, the workaround shall be simple.

First, load (and probably, set up) libraries, taking care to disable TensorFlow V2 conduct.

The coaching set is loaded, preprocessed and batched (almost) as earlier than.

omni_train <- tfds$load("omniglot", cut up = "take a look at")

batch_size <- 32

train_ds <- omni_train %>%
  dataset_take(11000) %>%
  dataset_map(perform(report) {
    report$picture <- preprocess_image(report$picture)
    checklist(report$picture, report$alphabet)}) %>%
  dataset_shuffle(1000) %>%
  # want dataset_repeat() when not keen
  dataset_repeat() %>%
  dataset_batch(batch_size)

Practice goal mannequin – with TensorFlow Privateness

To coach the goal, we put the layers from each phases – “cellular” and “server” – into one sequential mannequin. Word how we
take away the dropout. It’s because noise shall be added throughout optimization anyway.

complete_model <- keras_model_sequential() %>%
  layer_conv_2d(filters = 32, kernel_size = c(7, 7),
                input_shape = c(105, 105, 1),
                activation = "relu") %>%
  layer_batch_normalization() %>%
  layer_max_pooling_2d(pool_size = c(3, 3), strides = 3) %>%
  #layer_dropout(0.2) %>%
  layer_conv_2d(filters = 32, kernel_size = c(7, 7), activation = "relu") %>%
  layer_batch_normalization() %>%
  layer_max_pooling_2d(pool_size = c(3, 3), strides = 2) %>%
  #layer_dropout(0.2) %>%
  layer_conv_2d(filters = 32, kernel_size = c(5, 5), activation = "relu") %>%
  layer_batch_normalization() %>%
  layer_max_pooling_2d(pool_size = c(2, 2), strides = 2) %>%
  #layer_dropout(0.2) %>%
  layer_conv_2d(filters = 32, kernel_size = c(3, 3), activation = "relu") %>%
  layer_batch_normalization() %>%
  layer_max_pooling_2d(pool_size = c(2, 2), strides = 2, identify = "mobile_output") %>%
  #layer_dropout(0.2) %>%
  layer_dense(models = 256, activation = "relu") %>%
  layer_flatten() %>%
  #layer_dropout(0.2) %>%
  layer_dense(models = 50, activation = "softmax")

Utilizing TFP primarily means utilizing a TFP optimizer, one which clips gradients in keeping with some outlined magnitude and provides noise of
outlined dimension. noise_multiplier is the parameter we’re going to fluctuate to reach at totally different (epsilon)s:

l2_norm_clip <- 1

# ratio of the usual deviation to the clipping norm
# we run coaching for every of the three values
noise_multiplier <- 0.7
noise_multiplier <- 0.5
noise_multiplier <- 0.3

# identical as batch dimension
num_microbatches <- k_cast(batch_size, "int32")
learning_rate <- 0.005

optimizer <- tfp$DPAdamGaussianOptimizer(
  l2_norm_clip = l2_norm_clip,
  noise_multiplier = noise_multiplier,
  num_microbatches = num_microbatches,
  learning_rate = learning_rate
)

In coaching the mannequin, the second vital change for TFP we have to make is to have loss and gradients computed on the
particular person degree.

# want so as to add noise to each particular person contribution
loss <- tf$keras$losses$SparseCategoricalCrossentropy(discount =   tf$keras$losses$Discount$NONE)

complete_model %>% compile(loss = loss, optimizer = optimizer, metrics = "sparse_categorical_accuracy")

num_epochs <- 20

n_train <- 13180

historical past <- complete_model %>% match(
  train_ds,
  # want steps_per_epoch when not in keen mode
  steps_per_epoch = n_train/batch_size,
  epochs = num_epochs)

To check three totally different (epsilon)s, we run this thrice, every time with a distinct noise_multiplier. Every time we arrive at
a distinct last accuracy.

Here’s a synopsis, the place (epsilon) was computed like so:

compute_priv <- tfp$privateness$evaluation$compute_dp_sgd_privacy

compute_priv$compute_dp_sgd_privacy(
  # variety of information in coaching set
  n_train,
  batch_size,
  # noise_multiplier
  0.7, # or 0.5, or 0.3
  # variety of epochs
  20,
  # delta - mustn't exceed 1/variety of examples in coaching set
  1e-5)
0.74.00.37
0.512.50.45
0.384.70.56

Now, because the adversary gained’t name the entire mannequin, we have to “reduce off” the second-stage layers. This leaves us with a mannequin
that executes stage-one logic solely. We save its weights, so we are able to later name it from the adversary:

intercepted <- keras_model(
  complete_model$enter,
  complete_model$get_layer("mobile_output")$output
)

intercepted %>% save_model_hdf5("./intercepted.hdf5")

Practice adversary (towards differentially personal goal)

In coaching the adversary, we are able to preserve many of the unique code – that means, we’re again to TF-2 type. Even the definition of
the goal mannequin is similar as earlier than:

https://doi.org/10.1007/11681878_14.

Fredrikson, Matthew, Eric Lantz, Somesh Jha, Simon Lin, David Web page, and Thomas Ristenpart. 2014. “Privateness in Pharmacogenetics: An Finish-to-Finish Case Research of Customized Warfarin Dosing.” In Proceedings of the twenty third USENIX Convention on Safety Symposium, 17–32. SEC’14. USA: USENIX Affiliation.

Lake, Brenden M., Ruslan Salakhutdinov, and Joshua B. Tenenbaum. 2015. “Human-Degree Idea Studying By Probabilistic Program Induction.” Science 350 (6266): 1332–38. https://doi.org/10.1126/science.aab3050.
McMahan, H. Brendan, Eider Moore, Daniel Ramage, and Blaise Agüera y Arcas. 2016. “Federated Studying of Deep Networks Utilizing Mannequin Averaging.” CoRR abs/1602.05629. http://arxiv.org/abs/1602.05629.

Wu, X., M. Fredrikson, S. Jha, and J. F. Naughton. 2016. “A Methodology for Formalizing Mannequin-Inversion Assaults.” In 2016 IEEE twenty ninth Pc Safety Foundations Symposium (CSF), 355–70.

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