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  • - So welcome everyone to CS231n.

  • I'm super excited to offer this class again

  • for the third time.

  • It seems that every time we offer this class

  • it's growing exponentially unlike most things in the world.

  • This is the third time we're teaching this class.

  • The first time we had 150 students.

  • Last year, we had 350 students, so it doubled.

  • This year we've doubled again to about 730 students

  • when I checked this morning.

  • So anyone who was not able to fit into the lecture hall

  • I apologize.

  • But, the videos will be up on the SCPD website

  • within about two hours.

  • So if you weren't able to come today,

  • then you can still check it out within a couple hours.

  • So this class CS231n is really about computer vision.

  • And, what is computer vision?

  • Computer vision is really the study of visual data.

  • Since there's so many people enrolled in this class,

  • I think I probably don't need to convince you

  • that this is an important problem,

  • but I'm still going to try to do that anyway.

  • The amount of visual data in our world

  • has really exploded to a ridiculous degree

  • in the last couple of years.

  • And, this is largely a result of the large number

  • of sensors in the world.

  • Probably most of us in this room

  • are carrying around smartphones,

  • and each smartphone has one, two,

  • or maybe even three cameras on it.

  • So I think on average there's even more cameras

  • in the world than there are people.

  • And, as a result of all of these sensors,

  • there's just a crazy large, massive amount

  • of visual data being produced out there in the world

  • each day.

  • So one statistic that I really like to kind of put

  • this in perspective is a 2015 study

  • from CISCO that estimated that by 2017

  • which is where we are now that roughly 80%

  • of all traffic on the internet would be video.

  • This is not even counting all the images

  • and other types of visual data on the web.

  • But, just from a pure number of bits perspective,

  • the majority of bits flying around the internet

  • are actually visual data.

  • So it's really critical that we develop algorithms

  • that can utilize and understand this data.

  • However, there's a problem with visual data,

  • and that's that it's really hard to understand.

  • Sometimes we call visual data the dark matter

  • of the internet in analogy with dark matter in physics.

  • So for those of you who have heard of this in physics

  • before, dark matter accounts for some astonishingly large

  • fraction of the mass in the universe,

  • and we know about it due to the existence

  • of gravitational pulls on various celestial bodies

  • and what not, but we can't directly observe it.

  • And, visual data on the internet is much the same

  • where it comprises the majority of bits

  • flying around the internet, but it's very difficult

  • for algorithms to actually go in and understand

  • and see what exactly is comprising all the visual data

  • on the web.

  • Another statistic that I like is that of Youtube.

  • So roughly every second of clock time

  • that happens in the world, there's something like five hours

  • of video being uploaded to Youtube.

  • So if we just sit here and count,

  • one, two, three, now there's 15 more hours

  • of video on Youtube.

  • Google has a lot of employees, but there's no way

  • that they could ever have an employee sit down

  • and watch and understand and annotate every video.

  • So if they want to catalog and serve you

  • relevant videos and maybe monetize by putting ads

  • on those videos, it's really crucial that we develop

  • technologies that can dive in and automatically understand

  • the content of visual data.

  • So this field of computer vision is

  • truly an interdisciplinary field, and it touches

  • on many different areas of science

  • and engineering and technology.

  • So obviously, computer vision's the center of the universe,

  • but sort of as a constellation of fields

  • around computer vision, we touch on areas like physics

  • because we need to understand optics and image formation

  • and how images are actually physically formed.

  • We need to understand biology and psychology

  • to understand how animal brains physically see

  • and process visual information.

  • We of course draw a lot on computer science,

  • mathematics, and engineering as we actually strive

  • to build computer systems that implement

  • our computer vision algorithms.

  • So a little bit more about where I'm coming from

  • and about where the teaching staff of this course

  • is coming from.

  • Me and my co-instructor Serena are both PHD students

  • in the Stanford Vision Lab which is headed

  • by professor Fei-Fei Li, and our lab really focuses

  • on machine learning and the computer science side

  • of things.

  • I work a little bit more on language and vision.

  • I've done some projects in that.

  • And, other folks in our group have worked

  • a little bit on the neuroscience and cognitive science

  • side of things.

  • So as a bit of introduction, you might be curious

  • about how this course relates to other courses at Stanford.

  • So we kind of assume a basic introductory understanding

  • of computer vision.

  • So if you're kind of an undergrad,

  • and you've never seen computer vision before,

  • maybe you should've taken CS131 which was offered

  • earlier this year by Fei-Fei and Juan Carlos Niebles.

  • There was a course taught last quarter

  • by Professor Chris Manning and Richard Socher

  • about the intersection of deep learning

  • and natural language processing.

  • And, I imagine a number of you may have taken that course

  • last quarter.

  • There'll be some overlap between this course and that,

  • but we're really focusing on the computer vision

  • side of thing, and really focusing all of our motivation

  • in computer vision.

  • Also concurrently taught this quarter

  • is CS231a taught by Professor Silvio Savarese.

  • And, CS231a really focuses is a more all encompassing

  • computer vision course.

  • It's focusing on things like 3D reconstruction,

  • on matching and robotic vision,

  • and it's a bit more all encompassing

  • with regards to vision than our course.

  • And, this course, CS231n, really focuses

  • on a particular class of algorithms revolving

  • around neural networks and especially convolutional

  • neural networks and their applications

  • to various visual recognition tasks.

  • Of course, there's also a number

  • of seminar courses that are taught,

  • and you'll have to check the syllabus

  • and course schedule for more details on those

  • 'cause they vary a bit each year.

  • So this lecture is normally given

  • by Professor Fei-Fei Li.

  • Unfortunately, she wasn't able to be here today,

  • so instead for the majority of the lecture

  • we're going to tag team a little bit.

  • She actually recorded a bit of pre-recorded audio

  • describing to you the history of computer vision

  • because this class is a computer vision course,

  • and it's very critical and important that you understand

  • the history and the context of all the existing work

  • that led us to these developments

  • of convolutional neural networks as we know them today.

  • I'll let virtual Fei-Fei take over

  • [laughing]

  • and give you a brief introduction to the history

  • of computer vision.

  • Okay let's start with today's agenda. So we have two topics to cover one is a

  • brief history of computer vision and the other one is the overview of our course

  • CS 231 so we'll start with a very brief history of where vision comes

  • from when did computer vision start and where we are today. The history the

  • history of vision can go back many many years ago in fact about 543 million

  • years ago. What was life like during that time? Well the earth was mostly water

  • there were a few species of animals floating around in the ocean and life

  • was very chill. Animals didn't move around much there they don't have eyes or

  • anything when food swims by they grab them if the food didn't swim by they

  • just float around but something really remarkable happened around 540 million

  • years ago. From fossil studies zoologists found out within a very short period of

  • timeten million yearsthe number of animal species just exploded. It went

  • from a few of them to hundreds of thousands and that was strangewhat caused this?

  • There were many theories but for many years it was a mystery evolutionary

  • biologists call this evolution's Big Bang. A few years ago an Australian zoologist

  • called Andrew Parker proposed one of the most convincing theory from the studies

  • of fossils he discovered around 540 million years

  • ago the first animals developed eyes and the onset of vision started this

  • explosive speciation phase. Animals can suddenly see; once you can see life

  • becomes much more proactive. Some predators went after prey and prey

  • have to escape from predators so the evolution or onset of vision started a

  • evolutionary arms race and animals had to evolve quickly in order to survive as

  • a species so that was the beginning of vision in animals after 540 million

  • years vision has developed into the biggest sensory system of almost all

  • animals especially intelligent animals in humans we have almost 50% of the

  • neurons in our cortex involved in visual processing it is the biggest sensory

  • system that enables us to survive, work, move around, manipulate things,

  • communicate, entertain, and many things. The vision is really important for

  • animals and especially intelligent animals. So that was a quick story of

  • biological vision. What about humans, the history of humans making mechanical

  • vision or cameras? Well one of the early cameras that we know today is from the

  • 1600s, the Renaissance period of time, camera obscura and this is a camera

  • based on pinhole camera theories. It's very similar to, it's very similar to the

  • to the early eyes that animals developed with a hole that collects lights

  • and then a plane in the back of the camera that collects the information and

  • project the imagery. So as cameras evolved, today we have cameras

  • everywhere this is one of the most popular sensors people use from

  • smartphones to to other sensors. In the mean time biologists started

  • studying the mechanism of vision. One of the most influential work in both human

  • vision where animal vision as well as that inspired computer vision is the

  • work done by Hubel and Wiesel in the 50s and 60s using electrophysiology.

  • What they were asking, the question is "what was the visual processing mechanism like

  • in primates, in mammals" so they chose to study cat brain which is more or less

  • similar to human brain from a visual processing point of view. What they did

  • is to stick some electrodes in the back of the cat brain which is where the

  • primary visual cortex area is and then look at what stimuli makes the neurons

  • in the in the back in the primary visual cortex of cat brain respond excitedly

  • what they learned is that there are many types of cells in the, in the primary

  • visual cortex part of the the cat brain but one of the most important cell is

  • the simple cells they respond to oriented edges when they move in certain

  • directions. Of course there are also more complex cells but by and large what they

  • discovered is visual processing starts with simple structure of the visual world,

  • oriented edges and as information moves along the visual processing

  • pathway the brain builds up the complexity of the visual information

  • until it can recognize the complex visual world. So the history of

  • computer vision also starts around early 60s. Block World is a set of work

  • published by Larry Roberts which is widely known as one of the first,

  • probably the first PhD thesis of computer vision where the visual world

  • was simplified into simple geometric shapes and the goal is to be able to

  • recognize them and reconstruct what these shapes are. In 1966 there was a now

  • famous MIT summer project called "The Summer Vision Project." The goal of this

  • Summer Vision Project, I read: "is an attempt to use our summer workers

  • effectively in a construction of a significant part of a visual system."

  • So the goal is in one summer we're gonna work out

  • the bulk of the visual system. That was an ambitious goal. Fifty years have

  • passed; the field of computer vision has blossomed from one summer project into a

  • field of thousands of researchers worldwide still working on some of the

  • most fundamental problems of vision. We still have not yet solved vision but it

  • has grown into one of the most important and fastest growing areas

  • of artificial intelligence. Another person that we should pay tribute to is

  • David Marr. David Marr was a MIT vision scientist and he has written an

  • influential book in the late 70s about what he thinks vision is and how we

  • should go about computer vision and developing algorithms that can

  • enable computers to recognize the visual world. The thought process in his,

  • in David Mars book is that in order to take an image and

  • arrive at a final holistic full 3d representation of the visual world we

  • have to go through several process. The first process is what he calls "primal sketch;"

  • this is where mostly the edges, the bars, the ends, the virtual lines, the

  • curves, the boundaries, are represented and this is very much inspired by what

  • neuroscientists have seen: Hubel and Wiesel told us the early stage of visual

  • processing has a lot to do with simple structures like edges. Then the next step

  • after the edges and the curves is what David Marr calls

  • "two-and-a-half d sketch;" this is where we start to piece together the surfaces,

  • the depth information, the layers, or the discontinuities of the visual scene,

  • and then eventually we put everything together and have a 3d model

  • hierarchically organized in terms of surface and volumetric primitives and so on.

  • So that was a very idealized thought process of what vision is and this way

  • of thinking actually has dominated computer vision for several decades and

  • is also a very intuitive way for students to enter the field of vision

  • and think about how we can deconstruct the visual information.

  • Another very important seminal group of work happened in the 70s where people

  • began to ask the question "how can we move beyond the simple block world and

  • start recognizing or representing real world objects?" Think about the 70s,

  • it's the time that there's very little data available; computers are extremely

  • slow, PCs are not even around, but computer scientists are starting to

  • think about how we can recognize and represent objects. So in Palo Alto

  • both at Stanford as well as SRI, two groups of scientists that propose

  • similar ideas: one is called "generalized cylinder," one is called "pictorial structure."

  • The basic idea is that every object is composed of simple geometric

  • primitives; for example a person can be pieced together by generalized

  • cylindrical shapes or a person can be pieced together by critical part in

  • their elastic distance between these parts

  • so either representation is a way to reduce the complex structure of the

  • object into a collection of simpler shapes and their geometric configuration.

  • These work have been influential for quite a few, quite a few years

  • and then in the 80s David Lowe, here is another example of thinking how to

  • reconstruct or recognize the visual world from simple world structures, this

  • work is by David Lowe which he tries to recognize razors by constructing

  • lines and edges and and mostly straight lines and their combination.

  • So there was a lot of effort in trying to think what what is the tasks in computer

  • vision in the 60s 70s and 80s and frankly it was very hard to solve the problem of

  • object recognition; everything I've shown you so far are very audacious ambitious

  • attempts but they remain at the level of toy examples

  • or just a few examples. Not a lot of progress have been made in terms of

  • delivering something that can work in real world. So as people think about what

  • are the problems to solving vision one important question came around is:

  • if object recognition is too hard, maybe we should first do object segmentation,

  • that is the task of taking an image and group the pixels into meaningful areas.

  • We might not know the pixels that group together is called a person,

  • but we can extract out all the pixels that belong to the person from its background;

  • that is called image segmentation. So here's one very early

  • seminal work by Jitendra Malik and his student Jianbo Shi from Berkeley from

  • using a graph theory algorithm for the problem of image segmentation.

  • Here's another problem that made some headway ahead of many other problems in

  • computer vision, which is face detection. Faces one of the most important objects

  • to humans, probably the most important objects to humans, around the time of

  • 1999 to 2000 machine learning techniques, especially statistical machine

  • learning techniques start to gain momentum. These are techniques such as

  • support vector machines, boosting, graphical models, including the first

  • wave of neural networks. One particular work that made a lot of contribution was

  • using AdaBoost algorithm to do real-time face detection by Paul Viola

  • and Michael Jones and there's a lot to admire in this work. It was done in 2001

  • when computer chips are still very very slow but they're able to do face

  • detection in images in near-real-time and after the

  • publication of this paper in five years time, 2006, Fujifilm rolled out the first

  • digital camera that has a real-time face detector in the in the camera so it

  • was a very rapid transfer from basic science research to real world application.

  • So as a field we continue to explore how we can do object recognition

  • better so one of the very influential way of thinking in the late 90s til the

  • first 10 years of 2000 is feature based object recognition and here is a seminal

  • work by David Lowe called SIFT feature. The idea is that to match and the entire object

  • for example here is a stop sign to another stop sight is very difficult

  • because there might be all kinds of changes due to camera angles, occlusion,

  • viewpoint, lighting, and just the intrinsic variation of the object itself

  • but it's inspired to observe that there are some parts of the object,

  • some features, that tend to remain diagnostic and invariant to changes so the task of

  • object recognition began with identifying these critical features on the object

  • and then match the features to a similar object, that's a easier task than pattern

  • matching the entire object. So here is a figure from his paper where it shows

  • that a handful, several dozen SIFT features from one stop sign are

  • identified and matched to the SIFT features of another stop sign.

  • Using the same building block which is features, diagnostic features in images,

  • we have as a field has made another step forward and start to recognizing

  • holistic scenes. Here is an example algorithm called Spatial Pyramid Matching;

  • the idea is that there are features in the images that can give us

  • clues about which type of scene it is, whether it's a landscape or a kitchen or

  • a highway and so on and this particular work takes these features from different

  • parts of the image and in different resolutions and put them together in a

  • feature descriptor and then we do support vector machine algorithm on top of that.

  • Similarly a very similar work has gained momentum in human recognition

  • so putting together these features well we have a number of work that looks at

  • how we can compose human bodies in more realistic images and recognize them.

  • So one work is called the "histogram of gradients," another work is called

  • "deformable part models," so as you can see as we move from the 60s 70s 80s

  • towards the first decade of the 21st century one thing is changing and that's

  • the quality of the pictures were no longer, with the Internet the the the

  • growth of the Internet the digital cameras were having better and better

  • data to study computer vision. So one of the outcome in the early 2000s is that

  • the field of computer vision has defined a very important building block problem to solve.

  • It's not the only problem to solve but

  • in terms of recognition this is a very important problem to solve which is

  • object recognition. I talked about object recognition all along but in the early

  • 2000s we began to have benchmark data set that can enable us to measure the

  • progress of object recognition. One of the most influential benchmark data set

  • is called PASCAL Visual Object Challenge, and it's a data set composed of 20

  • object classes, three of them are shown here: train, airplane, person; I think it

  • also has cows, bottles, cats, and so on; and the data set is composed of several

  • thousand to ten thousand images per category and then the field different

  • groups develop algorithm to test against the testing set and see how we

  • have made progress. So here is a figure that shows from year 2007 to year 2012.

  • The performance on detecting objects the 20 object in this image in a in a

  • benchmark data set has steadily increased. So there was a lot of progress made.

  • Around that time a group of us from Princeton to Stanford also began to ask

  • a harder question to ourselves as well as our field which is: are we ready

  • to recognize every object or most of the object in the world. It's also motivated

  • by an observation that is rooted in machine learning which is that most of

  • the machine learning algorithms it doesn't matter if it's graphical model,

  • or support vector machine, or AdaBoost, is very likely to overfit in

  • the training process and part of the problem is visual data is very complex

  • because it's complex our models tend to have a high dimension a high dimension

  • of input and have to have a lot of parameters to fit and when we don't have

  • enough training data overfitting happens very fast and then we cannot generalize

  • very well. So motivated by this dual reason, one is just want to recognize the

  • world of all the objects, the other one is to come back the machine learning

  • overcome the the machine learning bottleneck of overfitting, we began this

  • project called ImageNet. We wanted to put together the largest possible dataset

  • of all the pictures we can find, the world of objects, and use that for

  • training as well as for benchmarking. So it was a project that took us about

  • three years, lots of hard work; it basically began with downloading

  • billions of images from the internet organized by the dictionary we called

  • WordNet which is tens of thousands of object classes and then we have to use

  • some clever crowd engineering trick a method using Amazon Mechanical Turk

  • platform to sort, clean, label each of the images. The end result is a ImageNet of

  • almost 15 million or 40 million plus images organized in twenty-two thousand

  • categories of objects and scenes and this is the gigantic, probably the

  • biggest dataset produced in the field of AI at that time and it began to push

  • forward the algorithm development of object recognition into another phase.

  • Especially important is how to benchmark the progress

  • so starting 2009 the ImageNet team rolled out an international challenge called

  • ImageNet Large-Scale Visual Recognition Challenge and for this challenge we put

  • together a more stringent test set of 1.4 million objects across 1,000 object

  • classes and this is to test the image classification recognition results for

  • the computer vision algorithms. So here's the example picture and if an algorithm

  • can output 5 labels and and top five labels includes the correct object in

  • this picture then we call this a success. So here is a result summary of the

  • ImageNet Challenge, of the image classification result from 2010

  • to 2015 so on x axis you see the years and the y axis you see the error rate.

  • So the good news is the error rate is steadily decreasing to the point by

  • 2012 the error rate is so low is on par with what humans can do and here a human

  • I mean a single Stanford PhD student who spend weeks doing this task as if

  • he were a computer participating in the ImageNet Challenge. So that's a lot of

  • progress made even though we have not solved all the problems of object

  • recognition which you'll learn about in this class

  • but to go from an error rate that's unacceptable for real-world application

  • all the way to on par being on par with humans in ImageNet challenge, the field

  • took only a few years. And one particular moment you should notice on this graph

  • is the the year 2012. In the first two years our error rate hovered around 25

  • percent but in 2012 the error rate was dropped more almost 10 percent to 16

  • percent even though now it's better but that drop was very significant and the

  • winning algorithm of that year is a convolutional neural network model that

  • beat all other algorithms around that time to win the ImageNet challenge and

  • this is the focus of our whole course this quarter is to look at to have a

  • deep dive into what convolutional neural network models are and another name for

  • this is deep learning by by popular

  • popular name now it's called deep learning and to look at what these

  • models are what are the principles what are the good practices what are the

  • recent progress of this model, but here is where the history was made is

  • that we, around 2012 convolutional neural network model or deep learning

  • models showed the tremendous capacity and ability in making a good progress in

  • the field of computer vision along with several other sister fields like natural

  • language processing and speech recognition. So without further ado I'm

  • going to hand the rest of the lecture to to Justin to talk about the overview of

  • CS 231n.

  • Alright, thanks so much Fei-Fei.

  • I'll take it over from here.

  • So now I want to shift gears a little bit

  • and talk a little bit more about this class CS231n.

  • So this class focuses on one of these most,

  • so the primary focus of this class

  • is this image classification problem

  • which we previewed a little bit in the contex

  • of the ImageNet Challenge.

  • So in image classification, again,

  • the setup is that your algorithm looks at an image

  • and then picks from among some fixed set of categories

  • to classify that image.

  • And, this might seem like somewhat of a restrictive

  • or artificial setup, but it's actual quite general.

  • And, this problem can be applied in many different settings

  • both in industry and academia and many different places.

  • So for example, you could apply this to recognizing food

  • or recognizing calories in food or recognizing

  • different artworks, different product out in the world.

  • So this relatively basic tool of image classification

  • is super useful on its own and could be applied

  • all over the place for many different applications.

  • But, in this course, we're also going to talk

  • about several other visual recognition problems

  • that build upon many of the tools that we develop

  • for the purpose of image classification.

  • We'll talk about other problems

  • such as object detection or image captioning.

  • So the setup in object detection

  • is a little bit different.

  • Rather than classifying an entire image

  • as a cat or a dog or a horse or whatnot,

  • instead we want to go in and draw bounding boxes

  • and say that there is a dog here, and a cat here,

  • and a car over in the background,

  • and draw these boxes describing

  • where objects are in the image.

  • We'll also talk about image captioning

  • where given an image the system

  • now needs to produce a natural language sentence

  • describing the image.

  • It sounds like a really hard, complicated,

  • and different problem, but we'll see

  • that many of the tools that we develop

  • in service of image classification

  • will be reused in these other problems as well.

  • So we mentioned this before in the context

  • of the ImageNet Challenge, but one of the things

  • that's really driven the progress of the field

  • in recent years has been this adoption

  • of convolutional neural networks or CNNs

  • or sometimes called convnets.

  • So if we look at the algorithms that have won

  • the ImageNet Challenge for the last several years,

  • in 2011 we see this method from Lin et al

  • which is still hierarchical.

  • It consists of multiple layers.

  • So first we compute some features,

  • next we compute some local invariances,

  • some pooling, and go through several layers

  • of processing, and then finally feed

  • this resulting descriptor to a linear SVN.

  • What you'll notice here is that this is still hierarchical.

  • We're still detecting edges.

  • We're still having notions of invariance.

  • And, many of these intuitions will carry over

  • into convnets.

  • But, the breakthrough moment was really in 2012

  • when Jeff Hinton's group in Toronto

  • together with Alex Krizhevsky and Ilya Sutskever

  • who were his PHD student at that time

  • created this seven layer convolutional neural network

  • now known as AlexNet, then called Supervision

  • which just did very, very well in the ImageNet competition

  • in 2012.

  • And, since then every year the winner of ImageNet

  • has been a neural network.

  • And, the trend has been that these networks

  • are getting deeper and deeper each year.

  • So AlexNet was a seven or eight layer neural network

  • depending on how exactly you count things.

  • In 2015 we had these much deeper networks.

  • GoogleNet from Google and VGG, the VGG network

  • from Oxford which was about 19 layers at that time.

  • And, then in 2015 it got really crazy

  • and this paper came out from Microsoft Research Asia

  • called Residual Networks which were 152 layers at that time.

  • And, since then it turns out you can get

  • a little bit better if you go up to 200,

  • but you run our of memory on your GPUs.

  • We'll get into all of that later,

  • but the main takeaway here is that convolutional neural

  • networks really had this breakthrough moment

  • in 2012, and since then there's been

  • a lot of effort focused in tuning and tweaking

  • these algorithms to make them perform better and better

  • on this problem of image classification.

  • And, throughout the rest of the quarter,

  • we're going to really dive in deep,

  • and you'll understand exactly how these different models

  • work.

  • But, one point that's really important,

  • it's true that the breakthrough moment

  • for convolutional neural networks was in 2012

  • when these networks performed very well

  • on the ImageNet Challenge, but they certainly weren't

  • invented in 2012.

  • These algorithms had actually been around

  • for quite a long time before that.

  • So one of the sort of foundational works

  • in this area of convolutional neural networks

  • was actually in the '90s from Jan LeCun and collaborators

  • who at that time were at Bell Labs.

  • So in 1998 they build this convolutional neural network

  • for recognizing digits.

  • They wanted to deploy this and wanted to be able

  • to automatically recognize handwritten checks

  • or addresses for the post office.

  • And, they built this convolutional neural network

  • which could take in the pixels of an image

  • and then classify either what digit it was

  • or what letter it was or whatnot.

  • And, the structure of this network

  • actually look pretty similar to the AlexNet

  • architecture that was used in 2012.

  • Here we see that, you know, we're taking

  • in these raw pixels.

  • We have many layers of convolution and sub-sampling,

  • together with the so called fully connected layers.

  • All of which will be explained in much more detail

  • later in the course.

  • But, if you just kind of look at these two pictures,

  • they look pretty similar.

  • And, this architecture in 2012 has a lot

  • of these architectural similarities

  • that are shared with this network going back to the '90s.

  • So then the question you might ask

  • is if these algorithms were around since the '90s,

  • why have they only suddenly become popular

  • in the last couple of years?

  • And, there's a couple really key innovations

  • that happened that have changed since the '90s.

  • One is computation.

  • Thanks to Moore's law, we've gotten

  • faster and faster computers every year.

  • And, this is kind of a coarse measure,

  • but if you just look at the number of transistors

  • that are on chips, then that has grown

  • by several orders of magnitude between the '90s and today.

  • We've also had this advent of graphics processing units

  • or GPUs which are super parallelizable

  • and ended up being a perfect tool

  • for really crunching these computationally intensive

  • convolutional neural network models.

  • So just by having more compute available,

  • it allowed researchers to explore with larger architectures

  • and larger models, and in some cases,

  • just increasing the model size, but still using

  • these kind of classical approaches and classical algorithms

  • tends to work quite well.

  • So this idea of increasing computation

  • is super important in the history of deep learning.

  • I think the second key innovation that changed

  • between now and the '90s was data.

  • So these algorithms are very hungry for data.

  • You need to feed them a lot of labeled images

  • and labeled pixels for them to eventually work quite well.

  • And, in the '90s there just wasn't

  • that much labeled data available.

  • This was, again, before tools like Mechanical Turk,

  • before the internet was super, super widely used.

  • And, it was very difficult to collect

  • large, varied datasets.

  • But, now in the 2010s with datasets like PASCAL

  • and ImageNet, there existed these relatively large,

  • high quality labeled datasets that were, again,

  • orders and orders magnitude bigger

  • than the dataset available in the '90s.

  • And, these much large datasets, again,

  • allowed us to work with higher capacity models

  • and train these models to actually work quite well

  • on real world problems.

  • But, the critical takeaway here is

  • that convolutional neural networks

  • although they seem like this sort of fancy, new thing

  • that's only popped up in the last couple of years,

  • that's really not the case.

  • And, these class of algorithms have existed

  • for quite a long time in their own right as well.

  • Another thing I'd like to point out

  • in computer vision we're in the business

  • of trying to build machines that can see like people.

  • And, people can actually do a lot of amazing things

  • with their visual systems.

  • When you go around the world,

  • you do a lot more than just drawing boxes

  • around the objects and classifying things as cats or dogs.

  • Your visual system is much more powerful than that.

  • And, as we move forward in the field,

  • I think there's still a ton of open challenges

  • and open problems that we need to address.

  • And, we need to continue to develop our algorithms

  • to do even better and tackle even more ambitious problems.

  • Some examples of this are going back to these older ideas

  • in fact.

  • Things like semantic segmentation or perceptual grouping

  • where rather than labeling the entire image,

  • we want to understand for every pixel in the image

  • what is it doing, what does it mean.

  • And, we'll revisit that idea a little bit later

  • in the course.

  • There's definitely work going back

  • to this idea of 3D understanding,

  • of reconstructing the entire world,

  • and that's still an unsolved problem I think.

  • There're just tons and tons of other tasks

  • that you can imagine.

  • For example activity recognition,

  • if I'm given a video of some person

  • doing some activity, what's the best way

  • to recognize that activity?

  • That's quite a challenging problem as well.

  • And, then as we move forward with things

  • like augmented reality and virtual reality,

  • and as new technologies and new types of sensors

  • become available, I think we'll come up

  • with a lot of new, interesting hard and challenging

  • problems to tackle as a field.

  • So this is an example from some of my own work

  • in the vision lab on this dataset called Visual Genome.

  • So here the idea is that we're trying to capture

  • some of these intricacies in the real world.

  • Rather than maybe describing just boxes,

  • maybe we should be describing images

  • as these whole large graphs of semantically related

  • concepts that encompass not just object identities

  • but also object relationships, object attributes,

  • actions that are occurring in the scene,

  • and this type of representation might allow us

  • to capture some of this richness of the visual world

  • that's left on the table when we're using

  • simple classification.

  • This is by no means a standard approach at this point,

  • but just kind of giving you this sense

  • that there's so much more that your visual system can do

  • that is maybe not captured in this vanilla

  • image classification setup.

  • I think another really interesting work

  • that kind of points in this direction

  • actually comes from Fei-Fei's grad school days

  • when she was doing her PHD at Cal Tech

  • with her advisors there.

  • In this setup, they had people, they stuck people,

  • and they showed people this image for just half a second.

  • So they flashed this image in front of them

  • for just a very short period of time,

  • and even in this very, very rapid exposure

  • to an image, people were able to write

  • these long descriptive paragraphs

  • giving a whole story of the image.

  • And, this is quite remarkable if you think about it

  • that after just half a second of looking at this image,

  • a person was able to say that this is

  • some kind of a game or fight, two groups of men.

  • The man on the left is throwing something.

  • Outdoors because it seem like I have an impression of grass,

  • and so on and so on.

  • And, you can imagine that if a person

  • were to look even longer at this image,

  • they could write probably a whole novel

  • about who these people are, and why are they

  • in this field playing this game.

  • They could go on and on and on

  • roping in things from their external knowledge

  • and their prior experience.

  • This is in some sense the holy grail of computer vision.

  • To sort of understand the story of an image

  • in a very rich and deep way.

  • And, I think that despite the massive progress

  • in the field that we've had over the past several years,

  • we're still quite a long way from achieving this holy grail.

  • Another image that I think really exemplifies

  • this idea actually comes, again, from Andrej Karpathy's blog

  • is this amazing image.

  • Many of you smiled, many of you laughed.

  • I think this is a pretty funny image.

  • But, why is it a funny image?

  • Well we've got a man standing on a scale,

  • and we know that people are kind of self conscious

  • about their weight sometimes, and scales measure weight.

  • Then we've got this other guy behind him

  • pushing his foot down on the scale,

  • and we know that because of the way scales work

  • that will cause him to have an inflated reading

  • on the scale.

  • But, there's more.

  • We know that this person is not just any person.

  • This is actually Barack Obama who was at the time

  • President of the United States,

  • and we know that Presidents of the United States

  • are supposed to be respectable politicians that are

  • [laughing]

  • probably not supposed to be playing jokes

  • on their compatriots in this way.

  • We know that there's these people

  • in the background that are laughing and smiling,

  • and we know that that means that they're

  • understanding something about the scene.

  • We have some understanding that they know

  • that President Obama is this respectable guy

  • who's looking at this other guy.

  • Like, this is crazy.

  • There's so much going on in this image.

  • And, our computer vision algorithms today

  • are actually a long way I think from this true,

  • deep understanding of images.

  • So I think that sort of despite the massive progress

  • in the field, we really have a long way to go.

  • To me, that's really exciting as a researcher

  • 'cause I think that we'll have

  • just a lot of really exciting, cool problems

  • to tackle moving forward.

  • So I hope at this point I've done a relatively good job

  • to convince you that computer vision is really interesting.

  • It's really exciting.

  • It can be very useful.

  • It can go out and make the world a better place

  • in various ways.

  • Computer vision could be applied

  • in places like medical diagnosis and self-driving cars

  • and robotics and all these different places.

  • In addition to sort of tying back to sort of this core

  • idea of understanding human intelligence.

  • So to me, I think that computer vision

  • is this fantastically amazing, interesting field,

  • and I'm really glad that over the course

  • of the quarter, we'll get to really dive in

  • and dig into all these different details

  • about how these algorithms are working these days.

  • That's sort of my pitch about computer vision

  • and about the history of computer vision.

  • I don't know if there's any questions about this

  • at this time.

  • Okay.

  • So then I want to talk a little bit more

  • about the logistics of this class

  • for the rest of the quarter.

  • So you might ask who are we?

  • So this class is taught by Fei-Fei Li

  • who is a professor of computer science here at Standford

  • who's my advisor and director of the Stanford Vision Lab

  • and also the Stanford AI Lab.

  • The other two instructors are me, Justin Johnson,

  • and Serena Yeung who is up here in the front.

  • We're both PHD students working under Fei-Fei

  • on various computer vision problems.

  • We have an amazing teaching staff this year

  • of 18 TAs so far.

  • Many of whom are sitting over here in the front.

  • These guys are really the unsung heroes

  • behind the scenes making the course run smoothly,

  • making sure everything happens well.

  • So be nice to them.

  • [laughing]

  • I think I also should mention this is the third time

  • we've taught this course, and it's the first time

  • that Andrej Karpathy has not been an instructor

  • in this course.

  • He was a very close friend of mine.

  • He's still alive.

  • He's okay, don't worry.

  • [laughing]

  • But, he graduated, so he's actually here

  • I think hanging around in the lecture hall.

  • A lot of the development and the history of this course

  • is really due to him working on it

  • with me over the last couple of years.

  • So I think you should be aware of that.

  • Also about logistics, probably the best way

  • for keeping in touch with the course staff

  • is through Piazza.

  • You should all go and signup right now.

  • Piazza is really our preferred method of communication

  • with the class with the teaching staff.

  • If you have questions that you're afraid

  • of being embarrassed about asking

  • in front of your classmates, go ahead

  • and ask anonymously even post private questions

  • directly to the teaching staff.

  • So basically anything that you need

  • should ideally go through Piazza.

  • We also have a staff mailing list,

  • but we ask that this is mostly

  • for sort of personal, confidential things

  • that you don't want going on Piazza,

  • or if you have something that's super confidential,

  • super personal, then feel free

  • to directly email me or Fei-Fei or Serena about that.

  • But, for the most part, most of your communication

  • with the staff should be through Piazza.

  • We also have an optional textbook this year.

  • This is by no means required.

  • You can go through the course totally fine without it.

  • Everything will be self contained.

  • This is sort of exciting because it's maybe the first

  • textbook about deep learning that got published

  • earlier this year by E.N. Goodfellow,

  • Yoshua Bengio, and Aaron Courville.

  • I put the Amazon link here in the slides.

  • You can get it if you want to,

  • but also the whole content of the book

  • is free online, so you don't even have to buy it

  • if you don't want to.

  • So again, this is totally optional,

  • but we'll probably be posting some readings

  • throughout the quarter that give you an additional

  • perspective on some of the material.

  • So our philosophy about this class

  • is that you should really understand the deep mechanics

  • of all of these algorithms.

  • You should understand at a very deep level

  • exactly how these algorithms are working

  • like what exactly is going on when you're

  • stitching together these neural networks,

  • how do these architectural decisions

  • influence how the network is trained

  • and tested and whatnot and all that.

  • And, throughout the course through the assignments,

  • you'll be implementing your own convolutional

  • neural networks from scratch in Python.

  • You'll be implementing the full forward and backward

  • passes through these things, and by the end,

  • you'll have implemented a whole convolutional neural network

  • totally on your own.

  • I think that's really cool.

  • But, we also kind of practical, and we know

  • that in most cases people are not writing these things

  • from scratch, so we also want to give you

  • a good introduction to some of the state of the art

  • software tools that are used in practice for these things.

  • So we're going to talk about some of the state of the art

  • software packages like Tensor Flow, Torch, [Py]Torch,

  • all these other things.

  • And, I think you'll get some exposure

  • to those on the homeworks and definitely through

  • the course project as well.

  • Another note about this course

  • is that it's very state of the art.

  • I think it's super exciting.

  • This is a very fast moving field.

  • As you saw, even these plots in the imaging challenge

  • basically there's been a ton of progress

  • since 2012, and like while I've been in grad school,

  • the whole field is sort of transforming ever year.

  • And, that's super exciting and super encouraging.

  • But, what that means is that there's probably content

  • that we'll cover this year that did not exist

  • the last time that this course was taught last year.

  • I think that's super exciting, and that's one

  • of my favorite parts about teaching this course

  • is just roping in all these new scientific,

  • hot off the presses stuff and being able

  • to present it to you guys.

  • We're also sort of about fun.

  • So we're going to talk about some interesting

  • maybe not so serious topics as well this quarter

  • including image captioning is pretty fun

  • where we can write descriptions about images.

  • But, we'll also cover some of these more artistic things

  • like DeepDream here on the left

  • where we can use neural networks to hallucinate

  • these crazy, psychedelic images.

  • And, by the end of the course, you'll know

  • how that works.

  • Or on the right, this idea of style transfer

  • where we can take an image and render it

  • in the style of famous artists like Picasso or Van Gogh

  • or what not.

  • And again, by the end of the quarter,

  • you'll see how this stuff works.

  • So the way the course works is we're going to have

  • three problem sets.

  • The first problem set will hopefully be out

  • by the end of the week.

  • We'll have an in class, written midterm exam.

  • And, a large portion of your grade

  • will be the final course project where you'll work

  • in teams of one to three and produce

  • some amazing project that will blow everyone's minds.

  • We have a late policy, so you have seven late days

  • that you're free to allocate among your different homeworks.

  • These are meant to cover things like minor illnesses

  • or traveling or conferences or anything like that.

  • If you come to us at the end of the quarter

  • and say that, "I suddenly have to give a presentation

  • "at this conference."

  • That's not going to be okay.

  • That's what your late days are for.

  • That being said, if you have some

  • very extenuating circumstances, then do feel free

  • to email the course staff if you have some extreme

  • circumstances about that.

  • Finally, I want to make a note

  • about the collaboration policy.

  • As Stanford students, you should all be aware

  • of the honor code that governs the way

  • that you should be collaborating and working together,

  • and we take this very seriously.

  • We encourage you to think very carefully

  • about how you're collaborating and making sure

  • it's within the bounds of the honor code.

  • So in terms of prerequisites, I think the most important

  • is probably a deep familiarity with Python

  • because all of the programming assignments

  • will be in Python.

  • Some familiarity with C or C++ would be useful.

  • You will probably not be writing any C or C++

  • in this course, but as you're browsing through the source

  • code of these various software packages,

  • being able to read C++ code at least

  • is very useful for understanding how these packages work.

  • We also assume that you know what calculus is,

  • you know how to take derivatives all that sort of stuff.

  • We assume some linear algebra.

  • That you know what matrices are

  • and how to multiply them and stuff like that.

  • We can't be teaching you how to take

  • like derivatives and stuff.

  • We also assume a little bit of knowledge

  • coming in of computer vision maybe at the level

  • of CS131 or 231a.

  • If you have taken those courses before,

  • you'll be fine.

  • If you haven't, I think you'll be okay in this class,

  • but you might have a tiny bit of catching up to do.

  • But, I think you'll probably be okay.

  • Those are not super strict prerequisites.

  • We also assume a little bit of background knowledge

  • about machine learning maybe at the level of CS229.

  • But again, I think really important, key fundamental

  • machine learning concepts we'll reintroduce

  • as they come up and become important.

  • But, that being said, a familiarity with these things

  • will be helpful going forward.

  • So we have a course website.

  • Go check it out.

  • There's a lot of information and links

  • and syllabus and all that.

  • I think that's all that I really want to cover today.

  • And, then later this week on Thursday,

  • we'll really dive into our first learning algorithm

  • and start diving into the details of these things.

- So welcome everyone to CS231n.

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講演1|視覚認識のための畳み込みニューラルネットワーク入門 (Lecture 1 | Introduction to Convolutional Neural Networks for Visual Recognition)

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    李張誌 に公開 2021 年 01 月 14 日
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