Distributional Representations of Idioms

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Abstract
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Contents
1 Introduction ..................................................................................................................................... 1
1.1
Outline .................................................................................................................................................... 5
2 Idioms ................................................................................................................................................. 7
2.1
Idioms: A Working Definition ........................................................................................................ 7
2.2
Idioms and Compositionality ......................................................................................................... 9
2.3
Variability in Idioms....................................................................................................................... 11
3 The Computational Linguistics Background ...................................................................... 13
3.1
3.1.1
The Distributional Hypothesis and Distributional Vector Space Models ................... 13
Polysemy ......................................................................................................................................................... 18
3.2
Compositionality.............................................................................................................................. 18
3.3
Interpreting Conventional Metaphors Using Distributional Vector Space Models . 20
3.4
Distinguishing Literal from Figurative Uses .......................................................................... 23
3.5
Other Representations of Idioms............................................................................................... 26
4 Proposed Methods ....................................................................................................................... 29
4.1
Model Selection: Why Distributional Vector Space Models? ........................................... 29
4.2
Training the Word Embeddings ................................................................................................. 32
4.3
Composition Models ....................................................................................................................... 35
4.3.1
Composition of the Idiomatic Phrase .................................................................................................. 35
4.3.2
Composition of the Sentence .................................................................................................................. 35
4.4
4.4.1
4.5
Tasks .................................................................................................................................................... 38
Assessing Variants of Idiomatic Expressions .................................................................................. 39
Scoring Measures............................................................................................................................. 40
5 System Requirements and Processing Time ...................................................................... 42
5.1
Training Time ................................................................................................................................... 42
5.2
Memory Requirements .................................................................................................................. 43
6 The Paraphrasing Tasks ............................................................................................................ 44
6.1
Task Description .............................................................................................................................. 44
6.2
Computational Method .................................................................................................................. 46
6.3
Empirical Results............................................................................................................................. 46
6.3.1
Direct Comparisons of Idioms to Paraphrases................................................................................ 46
6.3.2
The Matching Task...................................................................................................................................... 52
6.3.3
Idiom Variants .............................................................................................................................................. 55
6.4
Summary............................................................................................................................................. 56
7 Classifying Literal vs. Figurative Tokens ............................................................................. 58
7.1
Computational Method .................................................................................................................. 58
7.2
Figurative/Literal Sentence Pairs ............................................................................................. 59
7.2.1
Description of the Dataset ....................................................................................................................... 59
7.2.2
Calculating the Bias .................................................................................................................................... 59
7.2.3
Composition Methods................................................................................................................................ 60
7.2.4
Empirical Results......................................................................................................................................... 61
7.3
Comparison to Previous Work Using the BNC....................................................................... 65
7.3.1
Description of the Dataset ....................................................................................................................... 65
7.3.2
Computational Method ............................................................................................................................. 66
7.3.3
Empirical Results......................................................................................................................................... 66
7.4
Variants ............................................................................................................................................... 69
7.4.1
Syntactic Variants: Passivization .......................................................................................................... 69
7.4.2
Other Variants: Omission and Substitution ...................................................................................... 70
7.5
Summary............................................................................................................................................. 72
8 The Sentence Completion Task ............................................................................................... 73
8.1
Task Description .............................................................................................................................. 73
8.2
Computational Method .................................................................................................................. 74
8.3
Empirical Results............................................................................................................................. 75
8.4
Summary............................................................................................................................................. 81
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9 Conclusions and Future Work ................................................................................................. 83
9.1
Summary and Contributions ....................................................................................................... 83
9.2
General Observations .................................................................................................................... 84
9.3
Future Work ...................................................................................................................................... 86
References ............................................................................................................................................. 89
Appendices ............................................................................................................................................ 96
A.
List of idioms used in this work ...................................................................................................... 96
B.
Manually Annotated Idioms ............................................................................................................. 98
C.
Example Sentences from the Figurative/Literal Sentence Pair Dataset .......................... 99
D.
Complete Results for Comparison with Fazly et al. .................................................................. 99
E.
Complete Results for Comparison with Peng et al. ................................................................ 100
F.
Example Sentences from the Sentence Completion Task .................................................... 100
G.
Additional Results for the Sentence Completion Task ......................................................... 101
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1 Introduction
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percentage of all vectors
25%
20%
15%
10%
5%
0%
0
0.2
0.4
0.6
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0.8
1
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0.30%
0.25%
0.20%
0.15%
0.10%
0.05%
0.00%
0.50
0.60
0.70
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POS tagged
Method 1:
Auto-tagged
endure
0.2436
0.2711
0.3666
Method 2:
Some
manual tags
0.3386
bite the dust
defeat
0.0846
0.1548
0.2388
0.2349
bite one’s tongue
silence (n.)
0.1311
0.3079
0.3159
0.3678
blow a fuse
angry
0.1508
0.2507
0.3880
0.4743
blow the whistle
alert (v.)
0.1723
0.3214
0.3988
0.3568
break someone’s heart
hurt (v.)
0.2699
0.4542
0.4982
0.4962
break the ice
initiate (v.)
0.1101
0.0779
0.1454
0.1768
bury the hatchet
reconciliation
0.2109
0.2061
0.3433
0.3769
buy the farm
die
0.1879
0.3101
0.4482
0.4669
call the shots
command (v.)
0.1703
0.2565
0.3205
0.3347
cover one’s tracks
conceal
0.3033
0.2550
0.4201
0.4070
drop a bundle
expensive
0.1358
0.2050
0.2295
0.2233
drop a line
mail (v.)
0.1366
0.2033
0.1363
0.1501
face the music
punishment
0.1897
0.1641
0.2642
0.3222
fan the flames
provoke
0.1943
0.2362
0.5026
0.5288
flood the market
glut (v.)
0.3658
0.5673
0.5163
0.5443
get the ax
layoff (v.)
0.2588
0.2468
0.4062
0.4513
have a ball
enjoy
0.2336
0.3355
0.5083
0.4336
hit the books
study (v.)
0.1038
0.3024
0.2296
0.2868
hit the hay
sleep (v.)
0.1737
0.3979
0.4799
0.4516
hit the road
depart
0.1011
0.2007
0.3126
0.3062
hit the roof
rage (v.)
0.1199
0.2082
0.2394
0.2262
hit a wall
stall (v.)
0.1210
0.2217
0.3594
0.4052
kick the bucket
die
0.1603
0.3003
0.4587
0.3662
kick the habit
quit
0.2772
0.4825
0.5934
0.5396
know the score
understand
0.5217
0.4619
0.3658
0.3090
lose one’s marbles
crazy
0.1709
0.2549
0.6091
0.5815
lose one’s nerve
cower
0.2186
0.2412
0.4774
0.4111
lose one’s shirt
bankrupt (v.)
0.2311
0.2660
0.3385
0.2984
make a bundle
profit (n.)
0.0632
0.1821
0.3627
0.3798
make a scene
tantrum
0.0337
0.1840
0.3893
0.3981
miss the boat
fail
0.2787
0.3306
0.3467
0.3152
pack one’s bags
leave (v.)
0.1857
0.1918
0.3007
0.3788
pass the buck
renege
0.2242
0.1904
0.3105
0.3299
play ball
cooperate
0.1500
0.1433
0.2160
0.2814
pull someone’s leg
fool (v.)
0.1933
0.2619
0.3302
0.3171
Idiom
Paraphrase
bear one’s cross
Baseline
Google
Baseline
POS tagged
Method 1:
Auto-tagged
cancel
0.3415
0.2391
0.3469
Method 2:
Some
manual tags
0.3558
ring a bell
familiar
0.0841
0.3147
0.4195
0.4166
shoot the breeze
chat (v.)
0.2053
0.3275
0.5054
0.5210
shoot the messenger
blame (v.)
0.1915
0.2749
0.4143
0.4232
smell a rat
suspect (v.)
0.2082
0.3059
0.4471
0.4762
spill the beans
divulge
0.0730
0.1308
0.4904
0.4537
straddle the fence
vacillate
0.2499
0.1938
0.3432
0.3729
take heart
encourage
0.2443
0.2106
0.2715
0.2988
tie the knot
marry
0.3965
0.2544
0.6375
0.6501
trim one’s sails
economize
0.3241
0.2736
0.2335
0.2916
turn the tables
outwit
0.1442
0.1383
0.4239
0.4488
wear the pants
parent (v.)
0.0317
0.1155
0.3389
0.4267
AVERAGES:
0.1952
0.2588
0.3758
0.3834
MEDIANS:
0.1888
0.2525
0.3642
0.3778
1
4
19
21
Idiom
Paraphrase
pull the plug
# in first percentile:
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LWDOLFV
Idiom
bear cross
bite bullet
bite dust
bite tongue
blow fuse
blow whistle
break heart
break ice
bury hatchet
buy farm
call shot
change gear
change tune
chew fat
clear air
cover track
crack smile
crack whip
drop ball
drop bomb
drop bundle
drop line
face music
fan flame
flood market
force hand
get ax
get sack
have ball
hit book
hit hay
hit road
hit sack
hit wall
hold fort
kick bucket
kick habit
know score
lose marble
lose shirt
TP
5
5
8
10
10
5
6
7
5
0
7
9
7
10
5
5
10
2
3
0
9
3
10
10
10
10
8
7
8
10
10
10
10
5
4
8
10
9
6
10
FP
8
4
6
6
6
3
1
0
6
0
0
0
4
2
0
2
0
0
0
0
6
0
4
0
5
0
5
13
6
0
5
2
10
9
2
9
4
1
2
2
Precision
0.385
0.556
0.571
0.625
0.625
0.625
0.857
1.000
0.455
0.000
1.000
1.000
0.636
0.833
1.000
0.714
1.000
1.000
1.000
0.000
0.600
1.000
0.714
1.000
0.667
1.000
0.615
0.350
0.571
1.000
0.667
0.833
0.500
0.357
0.667
0.471
0.714
0.900
0.750
0.833
Recall
0.500
0.500
0.800
1.000
1.000
0.500
0.600
0.700
0.500
0.000
0.700
0.900
0.700
1.000
0.500
0.500
1.000
0.200
0.300
0.000
0.900
0.300
1.000
1.000
1.000
1.000
0.800
0.700
0.800
1.000
1.000
1.000
1.000
0.500
0.400
0.800
1.000
0.900
0.600
1.000
F1
0.435
0.526
0.667
0.769
0.769
0.556
0.706
0.824
0.476
0.000
0.824
0.947
0.667
0.909
0.667
0.588
1.000
0.333
0.462
0.000
0.720
0.462
0.833
1.000
0.800
1.000
0.696
0.467
0.667
1.000
0.800
0.909
0.667
0.417
0.500
0.593
0.833
0.900
0.667
0.909
Idiom
Precision
Recall
F1
TP
FP
make scene
10
4
0.714
1.000
0.833
miss boat
8
0
1.000
0.800
0.889
miss mark
0
0
0.000
0.000
0.000
pass buck
10
2
0.833
1.000
0.909
pave way
8
0
1.000
0.800
0.889
play ball
5
5
0.500
0.500
0.500
pull leg
8
1
0.889
0.800
0.842
pull plug
10
4
0.714
1.000
0.833
ring bell
7
0
1.000
0.700
0.824
shoot breeze
8
0
1.000
0.800
0.889
shoot messenger
10
0
1.000
1.000
1.000
show card
9
5
0.643
0.900
0.750
smell rat
5
0
1.000
0.500
0.667
spill bean
5
4
0.556
0.500
0.526
straddle fence
5
2
0.714
0.500
0.588
take heart
9
0
1.000
0.900
0.947
tie knot
6
1
0.857
0.600
0.706
trim sail
8
2
0.800
0.800
0.800
turn table
8
1
0.889
0.800
0.842
wear pant
10
1
0.909
1.000
0.952
AVERAGES
7.25
2.75
0.735
0.725
0.702
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$/,672),',20686(',17+,6:25.
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Idiom
bear one’s cross
bite one's lip
bite one's tongue
bite the bullet
bite the dust
blow a fuse
blow the whistle
break someone's heart
break a leg
break the ice
bury the hatchet
buy the farm
call the shots
call the tune
change one's tune
chew the fat
clear the air
clear the deck
cover one's tracks
crack a joke
crack a smile
crack the whip
drop a bomb
drop a line
drop a bundle
drop the ball
face the music
fan the flames
flood the market
# tokens in COCA
37
848
306
157
104
29
509
1212
164
212
44
59
537
44
160
34
239
70
188
53
108
92
259
63
15
294
109
159
120
Idiom
follow one's nose
force someone's hand
get the axe/ax
get the message
get the sack
have a ball
hit a wall
hit the books
hit the ceiling
hit the hay
hit the road
hit the roof
hit the sack
hold the fort
kick the habit
kick the bucket
know the score
lick one's wounds
lose one's grip
lose one's head
lose one's marbles
lose one's mind
lose one's nerve
lose one's shirt
lose the thread
lose one's touch
make a bundle
make a scene
miss the boat
miss the mark
pack one's bags
pass the buck
pave the way
play ball
pull someone's leg
pull the plug
ring a bell
scratch one's head
shoot the breeze
shoot the messenger
# tokens in COCA
50
132
51
1140
7
323
136
73
48
24
702
61
57
48
121
37
96
134
313
192
48
792
152
102
56
97
76
153
169
179
473
107
1485
679
193
624
243
681
90
56
Idiom
show one's cards
show one's face
show one's stuff
smack one's lips
smell a rat
spill the beans
spread the word
straddle the fence
take heart
tie the knot
trim one's sails
turn the tables
use one's head
wear the pants
# tokens in COCA
31
340
79
156
52
115
593
33
324
259
28
362
160
49
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Idiom
blow a fuse
break the ice
buy the farm
change gears
drop a bomb
drop a line
hit a wall
lose one's marbles
lose one's shirt
miss the mark
ring a bell
tie the knot
trim one's sails
wear the pants
# tokens retagged
as literal
11
21
33
42
259
41
35
3
8
8
64
18
10
16
# tokens tagged
as figurative
18
191
26
61
60
22
101
45
94
171
179
241
18
33
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literal instances
figurative instances
Fazly et al.
Idiom
Prec
Recall
take heart
hit roof
hit road
lose head
make scene
get sack
blow whistle
pull leg
pull plug
take heart
hit roof
hit road
lose head
make scene
get sack
blow whistle
pull leg
pull plug
1.00
0.65
0.80
0.56
0.66
0.86
0.78
0.75
0.90
1.00
0.00
0.00
0.50
0.86
0.00
0.78
0.88
0.94
0.97
1.00
1.00
0.90
0.96
1.00
0.52
0.55
0.98
0.60
0.00
0.00
0.12
0.30
0.00
0.92
0.95
0.75
target method
F1
Prec
Recall
0.98
0.79
0.89
0.69
0.78
0.92
0.62
0.63
0.94
0.75
0.00
0.00
0.19
0.44
0.00
0.84
0.91
0.83
1.00
0.78
0.90
0.71
0.85
0.98
0.67
0.37
0.91
0.74
0.35
1.00
0.65
0.82
0.96
0.28
0.77
0.98
0.96
0.87
0.84
0.93
0.99
0.97
0.93
0.71
0.93
1.00
0.25
0.14
0.38
0.23
0.48
1.00
0.83
0.89
F1
0.98
0.82
0.86
0.80
0.91
0.97
0.77
0.48
0.91
0.85
0.29
0.25
0.47
0.36
0.64
0.44
0.80
0.94
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Idiom
blow whistle
take heart
lose head
make scene
Prec
0.62
0.93
0.76
0.80
Peng et al.
Recall
0.60
0.99
0.97
0.99
Acc
0.83
0.92
0.78
0.80
Target method
Prec
Recall
0.61
0.93
1.00
0.97
0.74
0.93
0.85
0.97
Acc
0.87
0.97
0.75
0.83
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idiom
bear cross
bite bullet
bite dust
bite tongue
blow fuse
blow whistle
break heart
break ice
bury hatchet
buy farm
call shot
change gear
change tune
chew fat
clear air
cover track
crack smile
crack whip
drop ball
drop bomb
drop bundle
drop line
face music
fan flame
flood market
TP
4
5
9
10
6
6
6
5
5
6
7
9
6
10
5
4
10
0
2
0
10
7
10
9
10
manual annotation
FP precision recall
5
0.444 0.400
6
0.455 0.500
3
0.750 0.900
5
0.667 1.000
2
0.750 0.600
5
0.545 0.600
1
0.857 0.600
3
0.625 0.500
13
0.278 0.500
3
0.667 0.600
0
1.000 0.700
0
1.000 0.900
1
0.857 0.600
2
0.833 1.000
1
0.833 0.500
0
1.000 0.400
2
0.833 1.000
0
0.000 0.000
0
1.000 0.200
1
0.000 0.000
9
0.526 1.000
0
1.000 0.700
2
0.833 1.000
0
1.000 0.900
5
0.667 1.000
F1 auto-tag F1
0.421
0.435
0.476
0.526
0.818
0.667
0.800
0.769
0.667
0.769
0.571
0.556
0.706
0.706
0.556
0.824
0.357
0.476
0.632
0.000
0.824
0.824
0.947
0.947
0.706
0.667
0.909
0.909
0.625
0.667
0.571
0.588
0.909
1.000
0.000
0.333
0.333
0.462
0.000
0.000
0.690
0.720
0.824
0.462
0.909
0.833
0.947
1.000
0.800
0.800
idiom
force hand
get ax
get sack
have ball
hit book
hit hay
hit road
hit sack
hit wall
hold fort
kick bucket
kick habit
know score
lose marble
lose shirt
make scene
miss boat
miss mark
pass buck
pave way
play ball
pull leg
pull plug
ring bell
shoot breeze
shoot messenger
show card
smell rat
spill bean
straddle fence
take heart
tie knot
trim sail
turn table
wear pant
AVERAGES
TP
8
9
7
9
10
9
10
10
5
2
4
10
7
9
10
10
7
1
10
9
5
8
10
10
7
8
7
5
5
5
5
8
7
10
10
7.12
manual annotation
FP precision recall
0
1.000 0.800
7
0.563 0.900
13
0.350 0.700
4
0.692 0.900
0
1.000 1.000
4
0.692 0.900
2
0.833 1.000
11
0.476 1.000
8
0.385 0.500
0
1.000 0.200
9
0.308 0.400
9
0.526 1.000
1
0.875 0.700
3
0.750 0.900
1
0.909 1.000
4
0.714 1.000
1
0.875 0.700
0
0.000 0.100
0
1.000 1.000
1
0.900 0.900
5
0.500 0.500
1
0.889 0.800
2
0.833 1.000
0
1.000 1.000
0
1.000 0.700
0
1.000 0.800
3
0.700 0.700
1
0.833 0.500
0
1.000 0.500
3
0.625 0.500
0
1.000 0.500
1
0.889 0.800
5
0.583 0.700
4
0.714 1.000
1
0.909 1.000
2.89
0.729 0.712
F1 auto-tag F1
0.889
1.000
0.692
0.696
0.467
0.467
0.783
0.667
1.000
1.000
0.783
0.800
0.909
0.909
0.645
0.667
0.435
0.417
0.333
0.500
0.348
0.593
0.690
0.833
0.778
0.900
0.818
0.667
0.952
0.909
0.833
0.833
0.778
0.889
0.000
0.000
1.000
0.909
0.900
0.889
0.500
0.500
0.842
0.842
0.909
0.833
1.000
0.824
0.824
0.889
0.889
1.000
0.700
0.750
0.625
0.667
0.667
0.526
0.556
0.588
0.667
0.947
0.842
0.706
0.636
0.800
0.833
0.842
0.952
0.952
0.691
0.702