deep learning for NLP (5 lectures)

Transkrypt

1 TTIC 31210: Advanced Natural Language Processing Kevin Gimpel Spring 2019 Lecture 6: Finish Transformers; Sequence- to- Sequence Modeling and AJenKon 1

2 Roadmap intro (1 lecture) deep learning for NLP (5 lectures) structured predickon: sequence labeling, syntackc and semankc parsing, dynamic programming (4 lectures) generakve models, latent variables, unsupervised learning, variakonal autoencoders (2 lectures) Bayesian methods in NLP (2 lectures) Bayesian nonparametrics in NLP (2 lectures) review & other topics (1 lecture) 2

3 Assignments Any last- minute queskons about Assignment 1? Assignment 2 will be posted tonight, due in 2 weeks 3

4 finish transformers Today sequence- to- sequence modeling and ajenkon 4

5 Transformer effeckve encoder for text sequences (and other data) no recurrent/convolukonal modules only ajenkon (various forms) Vaswani et al. (2017): A"en%on Is All You Need 5

6 AJenKon ajenkon is a useful generic tool o`en used to replace a sum or average with an ajenkon- weighted sum 6

7 <latexit 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<latexit 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x8iy398ewd/dla/+vshm5/+ufnzmbfxfrp2+7vba6o1p619uvzo7wtt2vq4/s/1f6//z/2/h/zv7q/v/vaup6fvrtc0v1rr/dzd+t+as++g</latexit> AJenKon e.g., for a word averaging encoder: ajenkon funckon, returns a scalar 7

8 <latexit 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<latexit 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<latexit 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3bx0cm8mxudulfm9oapuspt37z9fmn5cnleu7e/l4nhmgx/4x/ntow/kxe/prpzodk6npzlfzu//1375znf3/rh1o+3bm5ntn619futx1tpt15uxtc+vthc+nunv9/9x91/3v3x3x8b6i33wpofba1+7v7n/30bkkm=</latexit> Example AJenKon FuncKon att(x i,i,x) / exp{w > emb(x i )} introduces a new parameter vector w which is learned along with the word embeddings ajenkon is normalized over the sentence length 8

9 Queries, Keys, and Values we can o`en think of ajenkon funckons in terms of these abstrackons query = what you use to search key = the field that you re comparing to value = the field that you return Vaswani et al. (2017): A"en%on Is All You Need 9

10 <latexit 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<latexit 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considering ajenkon as query/key/value suggests using different spaces for different roles e.g., we could use separate transformakons of the embedding space for keys and values: value trans- formakon matrix key trans- formakon matrix 10

11 MulK- Head AJenKon we may want to learn mulkple ajenkon funckons in parallel why? so that they can learn complementary funckonality for the task Vaswani et al. (2017): A"en%on Is All You Need 11

12 MulK- Head AJenKon in the transformer, each ajenkon head uses projeckons to lower dimension, followed by concatenakon of the outputs from each head Vaswani et al. (2017): A"en%on Is All You Need 12

13 Transformer a Vaswani et al. (2017): A"en%on Is All You Need 13

14 <latexit 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Self- AJenKon many possibilikes for self- ajenkon funckons intuikvely, the following weights a word based on how similar it is to all other words in the sequence: can be combined with query/key/value- specific transformakons and mulkple heads Vaswani et al. (2017): A"en%on Is All You Need 14

15 Word PosiKon InformaKon transformer adds embedding of posikon to word embedding in input predetermined/fixed sinusoidal embeddings or learned posikonal embeddings Vaswani et al. (2017): A"en%on Is All You Need 15

16 developed for a selng with both encoding and decoding Transformer transformer decoder uses similar components to encoder, along with ajenkon on encoder output Vaswani et al. (2017): A"en%on Is All You Need 16

17 What do Transformers Learn? 17

18 What do Transformers Learn? 18

19 What do Transformers Learn? 19

20 ApplicaKons transformer encoders have become widely used in NLP developed for sequence transduckon tasks (e.g., machine translakon) also highly effeckve for language modeling, parsing, etc. we ll briefly discuss two pretrained models based on transformers 20

21 GeneraKve Pre- Training with Transformer Language Models Radford et al. (2018): Improving language understanding with unsupervised learning

22 OpenAI GPT train a transformer language model (predict the next word) training data = passages from books applied to several NLP tasks that involve predickng things about sentences or filling in the next word transformer architecture (likely?) helps with capturing long- distance dependencies they then scaled it up to produce GPT- 2 22

23 OpenAI GPT- 2 Radford et al. (2019): Language Models are Unsupervised Mul%task Learners

24 BERT Devlin et al. (2018): BERT: Pre- training of Deep Bidirec%onal Transformers for Language Understanding

25

26

27 General Language Understanding EvaluaKon (GLUE) Leaderboard

28

29 BERT Overview transformer encoder with 24 layers, hidden size 1024, 16 ajenkon heads; 340M parameters learned posikonal embeddings (up to 512) word predickon so`max layers are ajached to the output layer (at every posikon) two training tasks: masked LM: mask certain input words, predict them next- sentence classificakon: encode two sentences, classify whether second follows first in a corpus Devlin et al. (2018): BERT: Pre- training of Deep Bidirec%onal Transformers for Language Understanding 29

30 BERT Input RepresentaKon input uses WordPieces (vocabulary of size 30,000) first token is [CLS] special token [SEP] separates sentences Devlin et al. (2018): BERT: Pre- training of Deep Bidirec%onal Transformers for Language Understanding 30

31 Pretraining Task 1: Masked Word PredicKon Devlin et al. (2018): BERT: Pre- training of Deep Bidirec%onal Transformers for Language Understanding 31

32 Pretraining Task 2: Next Sentence ClassificaKon Devlin et al. (2018): BERT: Pre- training of Deep Bidirec%onal Transformers for Language Understanding 32

33 finish transformers Today sequence- to- sequence modeling and ajenkon 33

34 Sequence- to- Sequence Modeling data: <input sequence, output sequence> pairs use one RNN to encode input sequence use another RNN to decode the output sequence from the input sequence vector o`en more generally called encoder- decoder models 34

35 ApplicaKon: Machine TranslaKon encode source sentence into a vector, decode translakon Kalchbrenner & Blunsom (2013): Recurrent Con%nuous Transla%on Models Cho et al. (2014): Learning Phrase Representa%ons using RNN Encoder Decoder for Sta%s%cal Machine Transla%on Sutskever et al. (2014): Sequence to Sequence Learning with Neural Networks

36 ApplicaKon: Chatbots Vinyals & Le (2015): A Neural Conversa%onal Model

37 ApplicaKon: Parsing {Vinyals, Kaiser} et al. (2015): Grammar as a Foreign Language

38 RNN Autoencoders encode sentence, decode sentence can use final hidden vector of sentence encoder as a sentence embedding Li et al. (2015): A Hierarchical Neural Autoencoder for Paragraphs and Documents

39 Skip- Thoughts encode sentence using an RNN decode two neighboring sentences use different RNNs for previous and next sentences also pass encoder sentence vector on each decoding step I got back home I could see the cat on the steps This was strange Kiros et al. (2015): Skip- Thought Vectors

40 query sentence: Skip- Thoughts im sure youll have a glamorous evening, she said, giving an exaggerated wink. nearest neighbor: im really glad you came to the party tonight, he said, turning to her. Kiros, Zhu, Salakhutdinov, Zemel, Torralba, Urtasun, Fidler (2015) 40

41 Encoder- Decoder Models for Neural Machine TranslaKon encode source sentence into a vector, decode translakon Kalchbrenner & Blunsom (2013): Recurrent Con%nuous Transla%on Models Cho et al. (2014): Learning Phrase Representa%ons using RNN Encoder Decoder for Sta%s%cal Machine Transla%on Sutskever et al. (2014): Sequence to Sequence Learning with Neural Networks

42 Encoder- Decoder Models for Neural Machine TranslaKon Kalchbrenner & Blunsom (2013): Recurrent Con%nuous Transla%on Models

43 Encoder- Decoder Models for Neural Machine TranslaKon encode source sentence into a vector, decode translakon Cho et al. (2014): Learning Phrase Representa%ons using RNN Encoder Decoder for Sta%s%cal Machine Transla%on

44 Encoder- Decoder Models for Neural Machine TranslaKon encode source sentence into a vector, decode translakon Sutskever et al. (2014): Sequence to Sequence Learning with Neural Networks

45 Encoder as a Sentence Embedding Model? Sutskever et al. (2014): Sequence to Sequence Learning with Neural Networks

46 Encoder as a Sentence Embedding Model? Sutskever et al. (2014): Sequence to Sequence Learning with Neural Networks

47 Cho et al. (2014): Learning Phrase Representa%ons using RNN Encoder Decoder for Sta%s%cal Machine Transla%on

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<latexit sha1_base64="ytgm0y2f4t6b3nhhtommjzcihwy=">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</latexit> Sequence- to- Sequence Model encoding input sequence:

49 <latexit sha1_base64="qhbilhqdg/kplyo6qi+xd7dx0cy=">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</latexit> <latexit 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Sequence- to- Sequence Model encoder: decoder: s 0 = h x

50 Extension: AJenKon 50

51 Extension: AJenKon Bahdanau et al. (2015): Neural Machine Transla%on by Jointly Learning to Align and Translate 51

52 Extension: AJenKon Bahdanau et al. (2015): Neural Machine Transla%on by Jointly Learning to Align and Translate 52

53 disclaimer: the version I will present is a lijle simpler than the Bahdanau et al version but retains the key ideas see the paper for more details 53

54 <latexit 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a" funckon models associakon between all pairs of hidden vectors in encoder and decoder

55 <latexit 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sha1_base64="j/i7cmtjkve68q6vjounflmob5w=">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</latexit> How is the a" funckon defined? Bahdanau et al. used a feed- forward network:

56 <latexit 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<latexit 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sha1_base64="j/i7cmtjkve68q6vjounflmob5w=">aaa1cnicnvtbc922ezbsw6rekvatfweqasrhkqrjxgmajgei2krdiaoqtpw4fiunsolwwolnahh0jmn2r/v39af0tx3pd+guwhniaqakrzo2codbxwkxu1hcfbqje3jv71+r7/zghz/68u/e/enaz37+i1/+6r33f/2nyese0mdhnut8euaetvhgn0kme/q84jskquk/ds7uy/u3u8ofy7njos/oauriji1zscrunb+/+nzti1lsjp78muek9ehstmjapq9+n1vyu6w9v+b5ixppp7pcr/yuyamtfadrlt/ik0jmu/hvirrwo6n62+vwtuqz8pzfvwvllarjyhe+ynfutorzhlwdp2lqb80bvt9aw1+37ywaf/s6pipovd6t3j3nkqevymcyjbpat+hybn17vm3nb4f0okzppaclngyjfc7iiby1thlvzw4hqzenytwqqzezn0tsci7p31vf291tp579mwo+1lean6pz9z9a9am8lfoaytahqpym9gp5wheuwzjqes0vbs1ieefiegkfgumpok2uddtejtre3jjn8c+tnqrtulqkftgkqolyhdmgla62k1kopz2twfaukmah7mhcjh7mhhqufzfoq5nm4yoenigsxjghobmjzrfw66ygczhdlvegukk6k2gefv3amjniwsjzvzyte8l4ftmvdfmpy2kzz/3qcqp8y0z2a2kgguzeuomzgoqyc6m2ukqnhff7tnkuvayfbntldvgtw13vegsdebmypv6wewkiqrwvopks0kwr9twd5pycuwa1oqlykvbrrbmmwwyofie8v8vziyrta08wjgiqnaccrmbhszzd/ezso8bqa6ptsylmyco46jbxmd2y2iwoibs2hdjibjjdje/dtkgpjzmfu8k3ocwrijcrgtbtjuvbs4ihetylcj+5t4q/zllywvotzcha/abeiecjrbicvmhxr/rcq6eto5c0m4iogtpu1uyfefuymakrp6axyyo1uzwfkaaikckgaewtcuy0qxw1dbsoqz2a1t0grxdjivczam/3rtlkmapw6kduqx0srtifrmfxnrrgzfqyek2na7wjjvdnxxqxfsn46ppraevr14fpqikkpdiqsaev45146ynvz+ero4enjtawxdii3pll4f7tu0sywilivv9kq0dewmhwnw4ojc5etxd14thvqigi6shb1ahs9fjsmh5plsz1dxdyq3390bi/itgc1nr8iqyeklsandeaj4q+ngphdf/pqxigvwec6cvwubrdpc6dv7v/8dkdv+sji1vzfirxnd1zdh7ly1ieybusepe6ie87fz7pfdduvn6zorlhg8gqrwqz9bmllatzixsmft+fclmt2ocxwxskjfhqe9/wllehyugz22q7mmzhtqzldzphnonttqiebccut/unmkghxgqrsoqg3i7p4a1bqkwxqvyrlklwn2fvbrccnneb7jiqigawrckulxwcvhpd4owdpcw5drljvfqjhrpprxtmmobpm/dgpe+9w/39+4+9ghsuf2arguwjvhzj0alkije16iznaqhs5qzi4itzzk1afoerbhvvnfd+w3dr7r3xzrcgomjiakowxw7vqyrzzhfpgmfsyqlojishbmm4l07rolcx9i1n+jaysnuj+iyzjmt6nhyy28cjym6npho74paggkw+ncxjgvprlng8m0pzegu2dzmn1cbmtlf2bxeic85uoouifvu5pgqrpo7p2fbmyufnqvup23hat9xaa36sblwhmekaqbccsmgztkfeexvro40b0z74+vdx0ck035kdosezqjc7dv205y0tly0ootmnpgghxyq7iujatrqzmzhpwj5ymacwgslhpo5tjgzileauediwaxumrvq7kpzs+uyoaxovtwj4nlqttkmty9ofdy9zhkeojmkm5k9yfascqb+gklmhgmgxatgfqcsgfq14qno5bhhp/mmw+2klcag2zlzicdhrl6qx9eemffzyfvd0mocaecrilbgmjnvtjyb02w9lyg6xeumgjrmcgccylz3ijonwo6pdeu0tjgy3kqp/orwyzoqtgl5abnqxyu5qovhi/7i5vf6yjywqhbvgsdildiq93lcdgpaicst4gaqndunfg4xscgix0lpovpplzfnlvzmkzk32qja627jh5skn0g6k0qibp27g/dad6tonrj1bva630ldztsrfpvcapmyqnfq7mfgmsiluka0hg7tgnvsvmxkzqlkis2zuvuwf/e6tmigdnsf6zbgbc7vipyfjqucujfp0heywa7wz5cnrwdbs4tzqgfjl/4msyh/tdn2htasjknsugziletxx1kl35eodz+hfjzpv0xqxjvh/2w3qlkzz1xqeujbwj9iwklm1vsssmrdnfafwgsakc+c+syeuubfxmh85sphsrugentivkfj7pmk4bbxpyd9zdusekx+1ukkx8lz7xbbxzrnlq3yzgzfz6ecdxstnsk9hxso+9ikgwiq4qy4wprijml3dmq44v84bkwjiaec3dscm6w7td24hbic2a35xwyse7v+ujrkasixscowrad60ikewothbtinzigembiflnlvlynzyasnbgk0je2qbwr9rgtmjasoz3cux8onbp3sch13rnfjjyw90w4cdclbdx44vvo0buoibhyckxfzpyjtiya365vfadvjkzwnr6foru7qlipvqawnp0eywvrjnfql+6qc/nmeezw2d44rclx63ui4gvqdjlkslusudkrfumw2d2jmd+fvjig6mcambm6oltpnld1hdv/eu9jc93iz4zgozp2/ypaebapdyrvzxqxlpwzn2bnp4lkc9flxgihp99figrhh9cufusgau47nq/y7ihtomchyugcfnk0mmj6ozuj8gcukylqmdsz2g+c3gca0rewzzgte0jowxsd2gurod7kujoncrr8a8qwb1h+qmrexvhebroxpbyzwrv9eiqasdhqc2obdditayiq1hjchzt6ll8zzcbmicel6gnkv66gu01dhvk6n1nlgudb1voyr5hzimflcpstqujg+qpotebzqktsw5uyvtnb2mrzjgkzq2d5kwwn0z6soojtmjdenzgrdybncsx0l9zw4ba6pz0qhleua7plv2zurfodymlcaumwwj2ruke+vk0hpsbnpcdkgdqprpmnvqqxkehkbuczzwj4w95jlqntrgeabpdms+g0k1w11aixayrms34lrfkmydb1ze0yac68aguzxg7usq0u8mnmsifjzhlfg2iaj+qh8cnkypdip8aq6usdlbtfxrou7q3a5gwvwmewetxyj5gugkth0l5g67bxaohowhpebavd2gegslgp97enzonqtcoas6joquawntmmd0kdn3cmbmgfrmneb4wwkzxry20sorl8eqmsrqt2dmib++afpjtvjykdvfnbpx2wcmojnbhswpkyqjkm6uemtfn4c56rzrqzlrutkz3oqpjykdntz8lcvnws3e4jaog3cdjt12e1gsjtmm39lrqhjbm3kgxusxk6gqlu22wjdkrzbbvaw8pm5qn+s5umleazhq9tf8s9wdtdj5snvrab4p44ehkzfbmn5pczhkf4phpiamd1ddwvdarqsyydfshszhoiiff8sdegefshp0mwu00c5k+lay7kawatqdtfze2m2lzqkihkmfr57lnjoig6hw3aivlcihqqbts3x++qabfb/ywfcw52knfhza6hl67ceivgljfefc9ilwjbg13uecyrq4djggwsueare6eviasgavflneiubb75fsc7uhq+jjvfavqxyaizjtznscco5yowcvb497zvuo326d/mc60da3m3fu34ov+hhfnqn1yku4puptenuxeyqznpvku8zz1rwh2bhobribe+bbnaowwz7tmzmbcylmoeskr12tqsegnjl0abo8ix4dvv/buyobswadj9j8bwjlu9coo1qtc8h4mvgyzjyivqvp+5hixzrhjiiykbiyv8/dspq8wrba2my3zd4orxplptp/gwbuxzjtqniioqdthxtl3iy5qmlskhp51pfnhma7ojzjgwyd16hd1jelfnf/y8qdn79thjnwsy0mquzryiygrwuokpxgklmipfxnhmbqr2cwytvv8wxp5zpjprmbgro3zc4sckmxrmbtfkcnty1vwih9anzox7lemcwsolf5f/rywurcyorpqels95hg+wn7vq0pmf1ziza/5jrmtb3zssqwr/nm6krn0+xnbta91hsmc10xtch1mmegzvdat7fyrnfnc419/sitsnujvupmqghgzxa4nmhug8kolyff5mvc1qnlhyitmwnrp5xsgn31rh0l+mt3bpjwhvxsegezajrggyaxeguivk334efyta776ad6kqmecvouslbrgtugdgly2fts1u5xottxp/3e2/jv8erzczg9wibsrflwbu/blt3llka63a7vzxgnfxcemqksb05ntliyx919+1qbrktad+tdu64dh948gwuo7o1e3zaoblmebwia+hv9otzqmbrcdtzggq1ypm452bmucc+pvvmstnwcxagzykat5hxs+r5expx2c3yv+08ehlqbvmyaxj3mxyuy5kuyhldgqmcwrqjk+un7saljr+zgeimvzdkfhag2wkmunruo70/wbgxdb1s2foedgkil/rqm8g8folyoe7qqlf/nsfmp0icwk+yixarsipbl5oibi3elx1ron3lc4phgt3bjhbief4ybfnlvhh4jwu2tgfs/bc7vkwnd8tga19wg193eq/uqniq5eoismhua+ctcrbcxbkofzpej7eafjriqiic4plxzu66om48tqdu7mtmedp8kjhdqsatpmsrt6qht24ohoc/b2vm8a76/rotbe4rxti3sssr3ijie84so5omu6ihanbcdfnbwrrnm7umm5zh+xu3v/l4khsgw+b12/t76ypwtgfvjmzu7o73d0d8/xv/i0+bpz95d+d3k71e2vkyrf1r5yuxrythks5vw9z+r/179z+p/p/7f3d/e/ebu87c276w2nl9z6f3c3f4/p1twrg==</latexit> create new decoder hidden vector based on ajenkon- weighted sum of encoder hidden vectors:

57 <latexit 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<latexit 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sha1_base64="j/i7cmtjkve68q6vjounflmob5w=">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</latexit> create new decoder hidden vector based on ajenkon- weighted sum of encoder hidden vectors:

58 <latexit sha1_base64="n8a20fcx/dsini3qd2rgbg9zf+y=">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<latexit 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sha1_base64="j/i7cmtjkve68q6vjounflmob5w=">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</latexit> new RNN decoder hidden state update equakon:

59 <latexit sha1_base64="lv7gedjh2nbarqmgrupxlgl9sxw=">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<latexit 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new predickon equakon:

60 Notes while inikally developed for machine translakon, ajenkon is useful for many other applicakons speech recognikon image capkoning summarizakon data- to- text generakon many different kinds of ajenkon; see Luong et al. (2015) for other variakons and comparisons somekmes ajenkon seems interpretable, but it can be misleading Luong et al. (2015): Effec%ve Approaches to A"en%on- based Neural Machine Transla%on 60

61 AJenKon in Machine TranslaKon Bahdanau et al. (2015): Neural Machine Transla%on by Jointly Learning to Align and Translate 61

62 Sentence SummarizaKon Rush et al. (2015): A Neural A"en%on Model for Abstrac%ve Sentence Summariza%on 62

63 Natural Language Inference Parikh et al. (2016): A Decomposable A"en%on Model for Natural Language Inference 63

64 Speech RecogniKon 64 Chan et al. (2015): Listen, A"end and Spell

65 Image CapKoning 65 Xu et al. (2015): Show, A"end and Tell: Neural Image Cap%on Genera%on with Visual A"en%on