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um hi everybody and uh so i'm gonna talk about
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comes the measures to explain the pairing productions and medical imaging
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um but first let me start by saying that interpret ability
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does not necessarily coincide with information so i like a lot
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this example uh from this paper or a them siding that
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the bottom i'm showing the hex them a picture of a lion
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and the picture of why itself was really cool to see lines before during the presentation and
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you can see that um one format as
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much more information than the other still we need
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the human readable format to be able to interpret the picture and
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eventually to process them in time with our human brain civil liked so
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in my vision of incompatibility um of pasta people earning interpret ability i like to think
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of it as the ability to explain how to present in understandable terms to a human
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so we can take it out of it in this way we can think that
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the more the representations base has is a
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pictorial space whereas input pixels or acted nations
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and the human the presentation space worse instead of in
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high level concepts and could be represented by another victoria space
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so what we actually trying to solve here is a mapping is the question of finding a mapping between one
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space very first the nation them all the presentation space
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to the other space that is estimation humour presentation space
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and this mapping can be just function and it could it's essentially the exhibit ability task
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which can be solved post doc by existing model so it can be solved after training
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our network by a different model and if we think of it the it is the
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easiest baseline we could use linear model could represent to the nearing to put the beauty baseline
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and also just let me to say that when we try to explain
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oh to present in understandable terms with human we should also consider that you not all humans may be
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familiar with machine learning so we want to really use
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something that is understandable to a wider public i now
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if you just google what a lion is you can see that conceptual
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descriptions are used to identify object categories for example and we keep media
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a line is described as a muscle are keeps ask out with short brown that had reduced neck
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and round years here it's after the hand of the tape to this is the description if you
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have in mind are ready because of the fact that you can easily transition from one to the other
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and well now i'm also wanted to point out it if you
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look at this data set where people are asked to quickly drop
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uh what he's a class and object category for them you would see
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that some of these concepts actually are reflected in the drawings by the people
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i mean i can see that most of the alliance your have rounded had
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us round years there are some very tough here and there but not many
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and this is sort of what was the idea when he
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was meant attributes uh back in two thousand and ten worst
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where used to describe features in image net and in
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this in this approach concepts were used in a binary
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way so you can just think think of a concept as if this present or not present in the match
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for example for this image of the lion we have a bounding
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box representing where the concept is located and you can see that over
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twenty five samples uh that was the people whereas lining up last one
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um if the concept was present in the minus one if the concept was not present any
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still when sure they were seen zero soul for all the twenty five images of a lion
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the concept round was always present you can see that this plus twenty five on the counting
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instead for other concepts like black or blue not there was the concept was not present
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so it has minus twenty five and then they're a concept like rough
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where people all them when sure so it has zero counting for concept
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but how about for example what we read before so that the line
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is the cat would teach asked rounds had small neck and on yours
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you see here that is not only about the elements that form
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the image but is also about their size or their contribution somehow
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and this is the idea behind my my our approach
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uh the ease of learning continues concept measures um
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and to use them to explain the learning predictions
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now traditionally concept learning is all those banner justification task in
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this we have seen it is presence or absence of the concept
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our our position is the action you can use regression to model the transition from small to
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large concept to for example i i like this image because you have to consider the cat
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and you know all that from a cat you can become ally in by
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increasing the chest size then of course there are other elements as well that contributes but this is one of them
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and so this classification or regression can be solved also on
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the features of indian and and there was previous work by um
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group in google brain and then we extended the work with
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the idea of repression and i'm pointing the the papers there
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so the idea of concert attribution to explain the parenting as that's golly this we give
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we we give the function decision function could be a deepening all metric we have
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a set of concepts let's say q. concepts that can be either binary of continuous
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and then we had access to the internet ah actually patients
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before layer few facts uh for for the terminal input x.
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now the first time the first thing we have to do as
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we should find vectors which are representative of the concepts so all the
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we can find inspectors uh i will explain just later how we do this but
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if if we're using binary concepts we will have to sort of a binary classification task
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on the activation space on the fee halifax for set to uh training images
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and we will have to do so very question task instead of four continues budget concepts
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the idea of concert that tradition is basically to find at the end of the story
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and that tradition vector that given the activation sit
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at a layer and the factors representative of the concepts
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it gives us a director of a one two eight you this number of concepts weight
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each a. i. is basically the contribution of
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each concept to the classification prediction so um
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to put it back in the for example with example of a
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lion if we have that one concept is the best of the chest
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the attribution a one would be how much that after the chest influences the production
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and here there's more detail about the idea of concept attribution we
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progression concert back tears the bayes align as that continues valid concern
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measures in your quest in the activation space of a layer so
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basically we have would build a data set of training and that's
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that are that contain one object of interest and this
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object could be segment it may either manually or automatically
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and from this segmentation we can extract us yourself handcrafted features
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like i dunno text to descriptor or the status of the shape
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of the of the object in the match like uh the eccentricity
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of the l. a. ups or a tour laurie out the perimeter
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and even like whatever kind of a feature of interest you
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have whatever concept that is measurable that your interest in the image
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and then we can pass this image is we can feed them into a radiating
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metric and we can extract the activation serve one day year for that even image
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and if we do this for for all the set of strange images then we're able to solve regression problem
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that allows us to find a direction that is p. c. that goes
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from small bodies of the concert measure too large values of the concert measure
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now i bought candies be useful to one of the things that we looking
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into when i'm presenting just pretty preliminary results here as we could use the um
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how good we can depress the concept in the layers to see
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if early layers in the network for example focus and simple concepts
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the the idea is that simple concepts should be learnt
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with less training at bucks at a very early layers
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and so here i'm presenting for example um
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and m. multilayer perception of two hidden layers of
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four thousand nine to six units that has been
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trained on nest handwritten digits and i'm reporting the
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uh r. square so then quality the how performance the fans of their question um over training
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for a network that has been trained on a regional basis that and another network that has been trained with us
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label corruption of forty percent so with label corruption we basically take the
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original labels and we shuffle them we take forty percent of them we shuffle
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we do this to see if this is generally don and
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research to see if the network is memorising the label correspondence
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and they want to see if any patterns are break
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in a broken by these memories ish memories nation approach
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and what you can see is that some concepts for example the
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concert area works better than the concert eccentricity and it's learned earlier in
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eight in earlier networks and it only layers and be
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in a end with less with the with the lower number of epochs
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where for eccentricity the training curve saturated bit later
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so this is just what what we're trying to find out
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and what we could use uh the question also vectors for
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another question we could try to solve as what happens
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again when we memorised the label correspondence and we we're
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for example we can see that constant learning does not seem to be affected by label noise at early layers
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still here i to come up with a perception that multi
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your perception before i i did more layers up to six
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and i increased the um amount of a
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label corruption in experiments from zero to one
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and you can see how the freshly issue for example the
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one the blue layer for both concepts remain sort of stable
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wait even despite the noise i mean despite the noise it remains
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stable it seems not to be too much affected by the corruption
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but we can also try to measure developments of the
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concert measure of the classification so for example we can
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computer relevant to feast concept um to the decision function
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by um computing the a directional derivative of the network output on the
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direction representing the concept so we can take our input image x. i
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uh we can take f. f. x. i. and we can
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compute the remit of of the decision function in the activation space
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and projected on the direction that is representative of the concept
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and what is this telling us is basically how much did
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they re various changes when we increase when we're ball moving
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our input towards the direction of increase of the constant measure
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um if we do this for each of the testing and that's of our data
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so that we can then we we obtain a serious uh of a sensitivity scores
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and we can accumulate all of them by and by in a in a global explanation
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of all the inputs of one class and uh these are called by directional relevance scores
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and we take into account the regression the termination coefficient and we provide basic we multiplied
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this value basket before him enough for the individual sensitivities and we divide it by the
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standard deviation of being the the sensitivities so we know that these values large if the regression was really good
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and if the individual sensitivity score sewing needle
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bodies of the degree that is consistent among samples
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i would use this for example to evaluate the relevance of nuclear commercialism and presses the pathology
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we took a data sets that was representative of a series
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of concepts which we had for example manually annotated nothing like
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and the concerts we looked into all where a nuclei morphology us uh
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so for example the size of the nuclei the shape or the texture
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um you can see that we could have smaller login okay i ordered later
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more less eccentric all where the texture is more or less this image in yes
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and from that we we extracted these measures of the concept in terms of correlation
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a hydraulic features eccentricity area pixel contrast
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and we a in in this speech she hear what i'm showing is how the concepts are there in it in the
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in the the layers of a network that is just trying to classify uh this just holding a
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binary justification task from uh to distinguish platt patches of two more from patches of known to more
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and with binary bi directional relevance course we can evaluate the concept relevance in terms
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of the directional related uh of each of the single concepts for the whole set
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of testing inputs and they can see that for example contrast as relevant is positively
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relevant while correlations negatively relevancy have correlation
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minus one encounters this almost a zero three
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so what this means is that correlation negatively impacts the decision function meaning that if
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you have a patch and you increase the correlation of the pixels inside the area
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ten year patch is more likely to be classified as non two more
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we had a few enhance the contrast between the pixels your patches more likely to
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be classified as two more this is what our that's kelly concept relevance is telling us
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and then we need to address to another date is that this is a work that um
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i did in collaboration with a meeting isn't in northeastern
00:15:22
university and the case yeah institute in the us and we
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bask really wanted to evaluate the relevance of features of
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blessedness in a database everything up at your remote to really
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um the first step was really to interactive decisions wanna
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stand which concepts was where the most important in put
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to them to to understand to interpret the networks
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and we ended up with a six concepts of um
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that's a curvature to us was c. d. and dilation which are
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pretty important in pretty irrelevant in cases of pressing up different to eighty
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and then we applied progression constant vectors at six different points and the layers of an
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inception be one which was trained to classify
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three different classes three different stages of the disease
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and we used our that bi directional scores to evaluate
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the global an individual concept out that's so basically we can
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evaluate the relevance of a concept at the individual data point level by just
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looking at the values of the t. v. video for the single data point
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and then we can also if needed we can also some or all of these values with bi
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directional scores um on the whole data sets for example for class so all the samples of one class
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and yes we selected basically six concepts out of a pool
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of one hundred forty three handcrafted beecher features so this was
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relevant for the doctors to find also a ranking between the features
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and an understanding of these features and the impact on the network
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and other things that i think that we actually looking into as
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more technical details about how we
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use the convolutional feature maps um
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to learn the regression so when you extract exhibitions of one they are you generally have some feature maps
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that are two dimensional so they you have and two dimensional feature max and
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to solve their question the most simple thing is to just on roll this maps
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that there is a problem of dependencies of neighbouring pixel so for example if these
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maps confirm any match you'll have that big so's in the neighbour in the neighbourhood
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ten generator have similar values they are correlated want to the other
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and when you don droll this this the map
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that's billy this this to the structure is broken so
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one maybe i did we had is to apply special full that special pulling a it
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average pulling what max bowling to the feature of the networks and these improves vastly this
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is a solution to this problem of dependencies neighbouring pixels and
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also it improves the problem of high dimensionality of your space because
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if you own drawl a teacher maps can easily go to a million of uh um of the mentions
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and so we are presenting at where enough the meeting a journal paper with
00:18:27
a improved results uh by given by max blowing the features uh uh for me
00:18:34
for both the applications of on is the pathology and personal but you've prematurely
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and the last thing that i am going to just introduced you as the
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possibility of uh expanding their research under
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question approach for example by using rubberised progression
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so all i'm as is that one of the things says that you
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have very high dimensions and the colour eyes regression is one of the um
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approaches to reduce the importance of feature of features and to avoid that
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you over feature data soul one of the ideas is to use reach regression
00:19:15
and um we did this basically two on features of the best relations for eternity gratuity
00:19:21
and his the pathology and what i'm showing here in this table is the basically the
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the rubberised regression improves teacher is you have your uh depression constant vector
00:19:32
so you're able to model uh your concept indian readings in a better way
00:19:38
um and also it it is interesting to see how the um if
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you don't use pulling you need to large of a lot a stronger
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a regular relation whereas if she's pulling the regular edition
00:19:51
which you need is less longer so these actually goes
00:19:55
with the idea of high dimensional space and i'm introducing to the machine idea space

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