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I'm at home during lockdown, working on my StatQuest, yeah!
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I'm at home during lockdown, working on my StatQuest, yeah!
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StatQuest!
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Hello, I'm Josh Starmer and welcome to StatQuest.
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Today we're going to talk about Naive Bays and it's going to be clearly explained.
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This StatQuest is sponsored by JadBio.
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Just add data and their automatic machine learning algorithms will do the rest of the work for you.
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For more details, follow the link in the pinned comment below.
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Note, when most people want to learn about Naive Bayes, they want to learn about the multinomial
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Naive Bayes classifier, and that's what we talk about in this video.
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However, just know that there is another commonly used version of Naive Bayes called Gaussian Naive Bayes Classification,
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and I cover that in a follow -up stat quest.
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So check that one out when you're done with this quest.
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Bam.
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Now, imagine we received normal messages from friends and family.
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And we also received spam, unwanted messages that are usually scams or unsolicited advertisements.
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And we wanted to filter out the spam messages. So, the first thing we do is make a histogram of all the words
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that occur in the normal messages from friends and family.
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We can use the histogram to calculate the probabilities of seeing each word given that it was in a normal message.
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For example, the probability we see the word deer, given that we saw it in a normal message,
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is 8, the total number of times dear occurred in normal messages,
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divided by 17, the total number of words in all of the normal messages.
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And that gives us 0 .47.
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So let's put that over the word dear so we don't forget it.
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Likewise, the probability that we see the word friend, given that we saw it in a normal message,
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is 5, the total number of times friend occurred in normal messages,
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divided by 17, the total number of words in all of the normal messages.
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And that gives us 0 .29.
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So let's put that over the word friend so we don't forget it.
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Likewise, the probability that we see the word lunch, given that it is in a normal message, is 0 .18.
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And the probability that we see the word money, given that it is in a normal message, is 0 .06.
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Now we make a histogram of all the words that occur in the spam.
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And calculate the probability of seeing the word deer, given that we saw it in the spam.
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And that is 2, the number of times we saw deer in the spam, divided by 7, the total number of words in the spam.
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And that gives us 0 .29.
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Likewise, we calculate the probability of seeing the remaining words, given that they were in the spam.
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Bam!
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Now, because these histograms are taking up a lot of space, let's get rid of them, but keep the probabilities.
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Oh no!
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It's the dreaded terminology alert!
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Because we have calculated the probabilities of discrete, individual words, and not the probability of something continuous,
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like weight or height, these probabilities are also called likelihoods.
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I mention this because some tutorials say these are probabilities, and others say they are likelihoods.
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In this case, the terms are interchangeable, so don't sweat it.
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We'll talk more about probabilities versus likelihoods when we talk about Gaussian naive bays in the follow -up quest.
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Now, imagine we got a new message that said,
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Dear Friend, and we want to decide if it is a normal message or spam down.
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We start with an initial guess about the probability that any message, regardless of what it says, is a normal message.
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This guess can be any probability that we want, but a common guess is estimated from the training data.
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For example, since 8 of the 12 messages are normal messages, our initial guess will be 0 .67.
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So let's put that under the normal messages so we don't forget it.
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Oh no!
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It's another dreaded terminology alert!
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The initial guess that we observe a normal message is called a prior probability.
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Now we multiply the initial guess by the probability that the word dear occurs in a normal message,
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and the probability that the word friend occurs in a normal message.
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Now we just plug in the values that we worked out earlier and do the math.
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Beep, boop, beep, boop, beep.
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And we get 0 .09.
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We can think of 0 .09 as the score that
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Dear Friend gets if it is a normal message.
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However, technically, it is proportional to the probability that the message is normal, given that it says Dear Friend.
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So let's put that on top of the normal messages so we don't forget.
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Now, just like we did before, we start with an initial guess about the probability that any message, regardless of what it says, is spam.
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And just like before, the guess can be any probability we want, but a common guess is estimated from the training data.
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And since 4 of the 12 messages are spam, our initial guess will be 0 .33.
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So let's put that under the spam so we don't forget it.
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Now we multiply that initial guess by the probability that the word dear occurs in spam.
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And the probability that the word friend occurs in spam.
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Now we just plugged in the values that we worked out earlier and do the math.
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Bip, boop, bip, boop, bip.
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And we get 0 .01.
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Like before, we can think of 0 .01 as the score that
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Dear Friend gets if it is spam.
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However, technically, it is proportional to the probability that the message is spam given that it says Dear Friend.
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And because the score we got for normal message, 0 .09, is greater than the score we got for spam,
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0 .01, we will decide that
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Dear Friend is a normal message.
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Double bam!
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Now, before we move on to a slightly more complex situation, let's review what we've done so far.
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We started with histograms of all the words in the normal messages, and all of the words in the spam.
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Then we calculated the probabilities of seeing each word, given that we saw the word in either a normal message or spam.
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Then we made an initial guess about the probability of seeing a normal message.
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This guess can be anything between 0 and 1, but we based ours on the classifications in the training dataset.
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Then we made the same sort of guess about the probability of seeing spam.
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Then we multiplied our initial guess
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that the message was normal by the probabilities of seeing the words dear and friend given that the message was normal.
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Then we multiplied our initial guess that the message was spam by the probabilities of seeing the words
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Dear and Friend given that the message was spam.
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Then we did the math and decided that
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Dear Friend was a normal message because 0 .09 is greater than 0 .01.
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Now that we understand the basics of how
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Naive Bayes classification works, let's look at a slightly more complicated example.
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This time, let's try to classify this message, lunch, money, money, money, money.
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Note, this message contains the word money four times.
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And since the probability of seeing the word money is much higher in spam than in normal messages,
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then it seems reasonable to predict that this message will end up being spam.
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So let's do the math math.
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Calculating the score for a normal message works just like before.
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We start with the initial guess, then we multiply it by the probability we see lunch, given that it is in a normal message,
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and the probability we see money four times, given that it is in a normal message.
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When we do the math, we get this tiny number.
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However, when we do the same calculation for spam, we get zero.
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This is because the probability we see lunch in spam is zero since it was not in the training data.
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And when we plug in zero for the probability we see lunch given that it was in spam,
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then it doesn't matter what value we picked for the initial guess that the message was spam,
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and it doesn't matter what the probability is that we see money given that the message was spam.
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because anything times zero is zero.
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In other words, if a message contains the word lunch, it will not be classified as spam.
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And that means we will always classify the messages with lunch in them as normal,
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no matter how many times we see the word money. And that's a problem.
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To work around this problem, people usually add one count, represented by a black box, to each word in the histograms.
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The number of counts we add to each word is typically referred to with the Greek letter alpha.
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In this case, alpha equals 1, but we could have set it to anything.
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Anyway, now when we calculate the probabilities of observing each word, we never get zero.
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For example, the probability of seeing lunch, given that it is in spam, is 1 divided by 7,
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the total number of words in spam, plus 4, the extra counts that we added.
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And that gives us 0 .09.
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adding counts to each word does not change our initial guess that a message is normal, or the initial guess that the message is spam,
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because adding a count to each word did not change the number of messages in the training data set that are normal,
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or the number of messages that are spam.
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Now when we calculate the scores for this message, we still get a small number for the normal message.
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But now when we calculate the value for spam, we get a value greater than zero.
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And since the value for spam is greater than the one for a normal message, we classify the message as spam.
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Spam!
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Now let's talk about why
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Naive Bayes is naive.
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The thing that makes
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Naive Bayes so naive is that it treats all word orders the same.
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For example, the normal message score for the phrase
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Dear Friend is the exact same for the score for Friend Dear.
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In other words, regardless of how the words are ordered, we get 0 .08.
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Treating all word orders equal is very different from how you and I communicate.
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Every language has grammar rules and common phrases, but Naive Bayes ignores all of that stuff.
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Instead, Naive Bayes treats language like it is just a bag full of words and each message is a random handful of them.
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Naive Bayes ignores all the rules because keeping track of every single reasonable phrase in a language would be impossible.
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That said, even though Naive Bayes is naive, it tends to perform surprisingly well when separating normal messages from spam.
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In machine learning lingo, we'd say that by ignoring relationships among words, Naive Bayes has high bias.
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But, because it works well in practice, Naive Bayes has low variance.
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Shameless Self -Promotion.
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If you are not already familiar with the terms bias and variance, check out the quest.
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The link is in the description below.
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Triple spam!
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Oh no, it's one last shameless self -promotion.
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One awesome way to support StatQuest is to purchase the Naive Bayes StatQuest Study Guide.
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It has everything you need to study for an exam or job interview.
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It's eight pages of total awesomeness.
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And while you're there, check out the other StatQuest Study Guides.
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There's something for everyone.
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Hooray!
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We've made it to the end of another exciting StatQuest.
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If you like this StatQuest and want to see more, please subscribe.
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And if you want to support StatQuest, consider contributing to my Patreon campaign,
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becoming a channel member, buying one or two of my original songs or a t -shirt or a hoodie, or just donate.
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The links are in the description below.
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Alright, until next time, Quest on!
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Vocabolario e note di pronuncia per questa lezione
Questa lezione di conversazione si basa sul video “Naive Bayes, Clearly Explained!!!”. Le parole che ritornano più spesso: message, word, normal, spam, probability. Questo video contiene 156 frasi e 1966 parole da ripetere con lo shadowing. Il parlato dura 15:11. Chi parla mantiene un ritmo costante di circa 130 parole al minuto, comodo per lo shadowing. Il 83% delle parole rientra nelle 3.000 più comuni dell’inglese; conviene studiare le altre prima di iniziare.
Vocaboli chiave di questo video
15 parole del video che vale la pena imparare, con pronuncia e significato:
| Parola | Pronuncia | Significato |
|---|---|---|
| spam sostantivo | /spæm/ | spam |
| probability sostantivo | /ˌpɹɑ.bəˈbɪl.ə.ti/ | probabilità |
| naive aggettivo | /naɪˈiv/ | ingenuo, candido |
| calculate verbo | /ˈkælkjʊleɪt/ | calcolare |
| occur verbo | /əˈkɜː/ | verificarsi |
| mathematics sostantivo | /mæθ(.ə)ˈmæt.ɪks/ | matematica |
| quest sostantivo | /kwɛst/ | missione, impresa |
| divide verbo | /dɪˈvaɪd/ | dividere, dividersi |
| ignore verbo | /ɪɡˈnɔː/ | ignorare |
| regardless avverbio | /ɹɪˈɡɑɹd.lɪs/ | comunque, in ogni caso |
| phrase sostantivo | /ˈfɹeɪ̯z/ | espressione, polirematica |
| classification sostantivo | /ˌklæsɪfɪˈkeɪʃən/ | classificazione |
| plug sostantivo | /plʌɡ/ | spina |
| deer sostantivo | /dɪɹ/ | cervo, alce |
| likewise avverbio | /ˈlaɪkˌwaɪz/ | ugualmente, similarmente |
I phrasal verb che sentirai
| Parola | Significato |
|---|---|
| check out verbo | investigare |
| end up verbo | andare a finire, finire |
| take up verbo | sollevare, prendere |
La grammatica di questo video
Le strutture che chi parla usa di più, con le parole esatte del video:
| Struttura | Nel video |
|---|---|
| Forma passiva be + participio passato — conta ciò che accade, non chi lo fa | is sponsored · are also called · is estimated |
| Present perfect have/has + participio passato — un’azione passata che conta ancora adesso | have calculated · we've done · We've made |
Pronuncia a cui fare attenzione
Chi parla usa 18 contrazioni e forme ridotte, come don't, I'm, doesn't. Pronunciale nella forma breve, così come le senti.
- I suoni “th”: mathematics /mæθ(.ə)ˈmæt.ɪks/, algorithm /ˈælɡəɹɪðm̩/
- I suoni “sh” e “zh”: classification /ˌklæsɪfɪˈkeɪʃən/, promotion /pɹəˈmoʊʃn̩/, examination /ɪɡˌzæm.ɪˈneɪ.ʃən/, calculation /ˌkælkjuˈleɪʃn̩/, shameless /ˈʃeɪ̯mlɪs/
- Parole lunghe — attenzione all’accento: probability /ˌpɹɑ.bəˈbɪl.ə.ti/, mathematics /mæθ(.ə)ˈmæt.ɪks/, classification /ˌklæsɪfɪˈkeɪʃən/, technically /ˈtɛk.nɪˌkəl.i/, terminology /ˌtɝ.məˈnɑ.lə.d͡ʒi/
I suoni difficili per chi parla italiano:
- /h/ — va soffiata, non è muta: likelihood /ˈlaɪklihʊd/, handful /ˈhæn(d)fʊl/, histogram /ˈhɪstəˌɡɹæm/
- Consonante finale — senza aggiungere una vocale dopo: naive /naɪˈiv/, calculate /ˈkælkjʊleɪt/, mathematics /mæθ(.ə)ˈmæt.ɪks/, quest /kwɛst/, divide /dɪˈvaɪd/
- /æ/ — più aperta della “e”: spam /spæm/, calculate /ˈkælkjʊleɪt/, mathematics /mæθ(.ə)ˈmæt.ɪks/, classification /ˌklæsɪfɪˈkeɪʃən/, alpha /ˈæl.fə/
Come esercitarsi con questo video
- Ascolta tutto il video una volta senza parlare e annota le parole che non conosci.
- Fai shadowing frase per frase a velocità normale, ripetendo ognuna finché il tuo ritmo coincide con quello di chi parla.
- Registrati e confronta con l’originale, facendo attenzione a parole come spam, probability, naive.
Cos'è la tecnica dello Shadowing?
Shadowing è una tecnica di apprendimento delle lingue supportata da studi scientifici, originariamente sviluppata per la formazione dei traduttori professionisti e resa popolare dal poliglotta Dr. Alexander Arguelles. Il metodo è semplice ma potente: ascolti un audio in inglese di madrelingua e lo ripeti immediatamente ad alta voce — come un'ombra che segue il parlante con un ritardo di solo 1–2 secondi. A differenza dell'ascolto passivo o degli esercizi di grammatica, lo shadowing costringe il tuo cervello e i muscoli della bocca a elaborare e riprodurre simultaneamente i modelli di discorso reale. La ricerca dimostra che migliora significativamente la precisione della pronuncia, l'intonazione, il ritmo, il discorso connesso, la comprensione dell'ascolto e la fluidità del parlato — rendendolo uno dei metodi più efficaci per la preparazione alla prova di speaking dell'IELTS e per la comunicazione reale in inglese.