7.4 Lab: Structural Topic Model

The following demonstrates an analysis with data of TED talk transcripts. Originally, this research and the collected data stems from research of Carsten Schwemmer & Sebastian Jungkunz and their paper “Whose ideas are worth spreading? The representation of women and ethnic groups in TED talks” (Political Research Exchange 2019 (1), 1-23).

If you are interested in the following analyses, definitely go and read their original paper. In short, they answered the question of how women and different ethnic groups are representated in TED talks. The data they gathered contains transcripts of over 2333 TED talks. Further, via a facial recognition API they were able to extract key characteristics of speakers, such as gender and ethnicity. Finally, by using the Youtube Data API they also extracted YT metadata, such as likes, comments and views.

In the following, we will (only) have a look at how many topics one can identify in TED Talks (and what they are about). The authors fitted a structural topic model to a) examine how many and which topics are discussed in TED talks and b) how gender and ethnicity influence the topic prevalence (e.g., are women more likely to talk about technical topics than men?).

Replication files with R code, plots and data are made available via the Harvard Dataverse.

Other resources:

Apart from their excellent replication files which everyone can easily access, there are other resources, who have used the TED data to demonstrate topic models. See e.g., this script for a complete workflow in german language.

For further ideas, especially with regards to visualization and pre-processing of textual data have a look at Julia Silges work. Together with David Robinson she also published excellent guidelines on the tidytext R package. Here and here are two blog posts on the specific task of Structural Topic Models by Julia Silge.

7.4.1 Setup

7.4.1.2 Data Import

Data is made available on the Harvard Dataverse. Besides basic operations (e.g, removing talks without human speakers), I also take a subset which contains the following information:

  • id: numerical identifier of each TED talk
  • title: title of the TED talk
  • date_num: year of the TED talk
  • text: transcript of the TED talk
  • dummy_female: a dummy variable for speaker gender (female vs male)
  • dummy_female: a dummy variable for speaker ethnicity (white vs non-white)
## tibble [2,333 x 6] (S3: tbl_df/tbl/data.frame)
##  $ id          : int [1:2333] 1 2 3 4 5 6 7 8 9 10 ...
##  $ date_num    : num [1:2333] 1 1 1 1 1 1 2 2 2 2 ...
##  $ title       : chr [1:2333] "Do schools kill creativity?" "Averting the climate crisis" "The best stats you've ever seen" "Why we do what we do" ...
##  $ text        : chr [1:2333] "Good morning. How are you? It's been great, hasn't it? I've been blown away by the whole thing. In fact, I'm le"| __truncated__ "Thank you so much, Chris. And it's truly a great honor to have the opportunity to come to this stage twice; I'm"| __truncated__ "About 10 years ago, I took on the task to teach global development to Swedish undergraduate students. That was "| __truncated__ "Thank you. I have to tell you I'm both challenged and excited. My excitement is: I get a chance to give somethi"| __truncated__ ...
##  $ dummy_female: num [1:2333] 0 0 0 0 0 1 1 0 0 0 ...
##  $ dummy_white : num [1:2333] 1 1 1 1 0 0 0 1 1 1 ...

7.4.2 Data Pre-processing

Before we can fit a structural topic model (and any topic model or text-analytical analyses at all) we have to invest some time in data pre-processing.

7.4.2.1 Step 1: Create a Corpus

To create a corpus of TED Talks and to apply neccessary cleaning functions I here use the {quanteda}-package. There are very good alternatives, for example {tidytext} or {tm} (see slides before).

## Corpus consisting of 5 documents.
## text1 :
## "Good morning. How are you? It's been great, hasn't it? I've ..."
## 
## text2 :
## "Thank you so much, Chris. And it's truly a great honor to ha..."
## 
## text3 :
## "About 10 years ago, I took on the task to teach global devel..."
## 
## text4 :
## "Thank you. I have to tell you I'm both challenged and excite..."
## 
## text5 :
## "Hello voice mail, my old friend. I've called for tech suppor..."

7.4.2.2 Step 2: Clean Corpus and cast data into a DFM

Now we perform multiple data manipulation steps, for instance we remove all punctuation (remove_punct) and convert all characters to lower case (tolower). At the same time, we convert our corpus object into a document-feature matrix (DFM).

## Document-feature matrix of: 2,333 documents, 44,704 features (99.00% sparse) and 0 docvars.
##        features
## docs    good morn great blown away whole thing fact leav three
##   text1    3    1     3     1    2     7    16    3    2     4
##   text2    2    0     1     1    1     0     3    0    0     1
##   text3    4    0     0     0    2     1     1    0    0     1
##   text4    3    0     2     0    0     1     9    0    2     7
##   text5    7    1     1     0    1     2    10    0    2     2
##   text6    4    1     0     0    0     0     6    1    1     1
## [ reached max_ndoc ... 2,327 more documents, reached max_nfeat ... 44,694 more features ]

The document-feature matrix we just constructed contains 2333 documents with 44704 features (i.e., terms). Because of the extremely large number of features we can engage in feature trimming (do not trim for already small corpora!) to reduce the size of the DFM. Ideally, we exclude features that occur way too often or too few times to be meaningful interpreted. When you decide to trim, be careful and compare different parameters, since this step might strongly influence the results of your topic model. Here, we closely follow the original paper and exclude all terms that appear in more than half or in less than 1% of all talks.

## [1] 2333 4805

7.4.3 Analysis: (Structural) Topic Model

Our text data is now prepared. Before we can fit the actual STM we have to consider that each topic model implementation in R (e.g., LDA, biterm topic model, structural topic models) needs a different input format. The stm-package which I will use in the following needs a different format than the quanteda object we just designed \(\rightarrow\) use the {quanteda}-convert function to construct such an object.

## List of 3
##  $ documents:List of 2333
##  $ vocab    : chr [1:4805] "$" "<U+266B>" "10th" "15-year-old" ...
##  $ meta     : tibble [2,333 x 6] (S3: tbl_df/tbl/data.frame)

Now, using this object containing all 2333 documents and their respective vocabulary we can perform our first topic model.

The following chunk will take several minutes to evaluate (for me 5-10 minutes).

We can also plot the results of our topic model.

## A topic model with 20 topics, 2333 documents and a 4805 word dictionary.
## Topic 1 Top Words:
##       Highest Prob: <U+266B>, song, la, sing, oh, love, feel 
##       FREX: <U+266B>, la, song, sing, loop, oh, sheep 
##       Lift: <U+266B>, la, song, sing, coke, ski, ooh 
##       Score: <U+266B>, song, la, sing, music, ooh, feminist 
## Topic 2 Top Words:
##       Highest Prob: play, music, game, sound, art, film, artist 
##       FREX: artist, music, film, art, paint, game, play 
##       Lift: jersey, orchestra, cinema, opera, musician, music, masterpiec 
##       Score: jersey, music, art, film, paint, artist, game 
## Topic 3 Top Words:
##       Highest Prob: guy, yeah, ok, oh, stuff, sort, mayb 
##       FREX: guy, ok, yeah, stuff, oh, card, ca 
##       Lift: da, nerd, comedi, dude, yeah, guy, ok 
##       Score: da, ok, stuff, guy, ca, yeah, oh 
## Topic 4 Top Words:
##       Highest Prob: countri, africa, global, china, india, develop, state 
##       FREX: china, africa, india, chines, african, aid, countri 
##       Lift: curtain, ghana, capita, shanghai, sub-saharan, china, export 
##       Score: curtain, countri, africa, india, china, economi, chines 
## Topic 5 Top Words:
##       Highest Prob: univers, planet, earth, space, light, star, scienc 
##       FREX: galaxi, mar, particl, telescop, star, mathemat, orbit 
##       Lift: galaxi, hover, astronomi, spacecraft, telescop, asteroid, orbit 
##       Score: galaxi, telescop, particl, hover, mar, orbit, quantum 
## Topic 6 Top Words:
##       Highest Prob: water, ocean, anim, fish, tree, sea, forest 
##       FREX: ocean, forest, shark, sea, whale, coral, ice 
##       Lift: iceberg, reef, glacier, underwat, expedit, forest, canopi 
##       Score: iceberg, coral, ocean, forest, shark, speci, reef 
## Topic 7 Top Words:
##       Highest Prob: cell, gene, dna, bodi, biolog, organ, genet 
##       FREX: dna, gene, genom, cell, genet, tissu, molecul 
##       Lift: silk, chromosom, genom, dna, bacteri, mutat, tissu 
##       Score: silk, gene, cell, genom, dna, bacteria, tissu 
## Topic 8 Top Words:
##       Highest Prob: energi, car, oil, power, electr, percent, technolog 
##       FREX: oil, energi, car, fuel, nuclear, vehicl, electr 
##       Lift: fusion, emiss, coal, watt, brake, congest, renew 
##       Score: fusion, climat, co2, solar, carbon, energi, car 
## Topic 9 Top Words:
##       Highest Prob: war, polit, govern, state, power, law, countri 
##       FREX: prison, elect, vote, militari, crimin, polic, weapon 
##       Lift: toni, republican, terrorist, prosecut, bomber, crimin, diplomat 
##       Score: toni, democraci, islam, muslim, prison, polit, crimin 
## Topic 10 Top Words:
##       Highest Prob: word, book, languag, read, write, god, believ 
##       FREX: languag, religion, book, god, word, english, argument 
##       Lift: dictionari, meme, divin, bibl, linguist, verb, paragraph 
##       Score: dictionari, religion, languag, book, god, english, religi 
## Topic 11 Top Words:
##       Highest Prob: food, water, plant, eat, grow, farmer, product 
##       FREX: bee, food, farmer, mosquito, crop, vaccin, plant 
##       Lift: bee, mosquito, ebola, pesticid, crop, bread, flu 
##       Score: bee, food, mosquito, plant, vaccin, insect, farmer 
## Topic 12 Top Words:
##       Highest Prob: women, men, girl, woman, communiti, black, young 
##       FREX: women, men, gender, woman, girl, sex, gay 
##       Lift: grate, women, gender, feminist, gay, men, lesbian 
##       Score: grate, women, girl, men, gay, gender, woman 
## Topic 13 Top Words:
##       Highest Prob: school, kid, student, children, educ, teacher, teach 
##       FREX: school, teacher, kid, student, classroom, teach, educ 
##       Lift: pizza, tutor, classroom, curriculum, teacher, kindergarten, homework 
##       Score: pizza, school, teacher, kid, classroom, educ, student 
## Topic 14 Top Words:
##       Highest Prob: brain, robot, move, anim, neuron, bodi, control 
##       FREX: robot, neuron, brain, ant, monkey, conscious, memori 
##       Lift: ant, neuron, robot, lobe, neurosci, sensori, spinal 
##       Score: ant, robot, brain, neuron, cortex, neural, spinal 
## Topic 15 Top Words:
##       Highest Prob: design, comput, build, machin, technolog, project, sort 
##       FREX: design, comput, architectur, machin, 3d, fold, print 
##       Lift: fold, 3d, architectur, lego, pixel, printer, prototyp 
##       Score: fold, design, comput, architectur, 3d, build, machin 
## Topic 16 Top Words:
##       Highest Prob: feel, love, experi, happi, studi, social, emot 
##       FREX: compass, self, emot, psycholog, happi, moral, autism 
##       Lift: laughter, autism, happier, psychologist, self, disgust, adolesc 
##       Score: laughter, autism, social, compass, self, emot, sexual 
## Topic 17 Top Words:
##       Highest Prob: compani, money, busi, dollar, percent, market, product 
##       FREX: busi, compani, market, money, financi, dollar, innov 
##       Lift: calculus, investor, loan, mortgag, philanthropi, entrepreneuri, revenu 
##       Score: calculus, market, economi, money, econom, dollar, percent 
## Topic 18 Top Words:
##       Highest Prob: citi, data, internet, inform, network, build, connect 
##       FREX: internet, citi, network, onlin, web, twitter, facebook 
##       Lift: tedtalk, wikipedia, twitter, browser, upload, privaci, blogger 
##       Score: tedtalk, citi, data, twitter, inform, internet, web 
## Topic 19 Top Words:
##       Highest Prob: patient, health, diseas, cancer, medic, drug, doctor 
##       FREX: patient, medic, clinic, doctor, treatment, surgeri, hospit 
##       Lift: tom, physician, surgeri, medic, clinic, patient, cardiac 
##       Score: tom, patient, cancer, drug, diseas, health, medic 
## Topic 20 Top Words:
##       Highest Prob: stori, love, famili, walk, feel, home, man 
##       FREX: father, felt, son, knew, dad, walk, night 
##       Lift: mama, goodby, closet, grandfath, ash, homeless, fled 
##       Score: mama, father, famili, girl, dad, interview, love

7.4.4 Validation and Model Selection

7.4.4.1 The optimal number of k

This far, we simply decided to set k (= the number of topics) to 20, i.e. we expect our selection of TED talks to cover 20 topics. This was a simple guess. There are many different ways of how to specify k (informed guessing via theory and previous research, rule of thumb, manual labeling of a subset, statistical measures).

In the following, we will focus on statistical measures, which is a comparatively fast and reasonable way of validating your k. To do so:

  1. perform multiple topic models with multiple specifications of k
  2. compare those on basis of statistical measures
  3. choose one specification of k
  4. finally visualizise and manual interpretate your topic model of choice
## [[1]]
## A topic model with 50 topics, 2333 documents and a 4805 word dictionary.

7.4.4.2 Semantic Coherence and Exclusivity

There is a variety of statistical measures to evaluate your model, see for instance here.

  • Semantic coherence: how often do terms that have a high probability of belonging to one topic, also co-occur in the respective document?

  • However, do not only consider semantic coherence (can easily be improved by simply modeling fewer topels) but also consider exclusivity

  • Exclusivity: How exclusive are the terms that occur with high probability for a topic; put differently: are they for other topics very unlikely?

In my opinion most insights are generated by plotting the two measures against each other.

Short Interpretation? The higher the semantic coherence and the higher the exclusivity of words within a topic, the “better” a topic model.

K exclusivity semantic_coherence
20 9.781185, 9.943524, 9.840624, 9.822129, 9.921995, 9.877850, 9.905818, 9.737277, 9.635212, 9.634374, 9.898207, 9.870780, 9.969914, 9.855582, 9.747229, 9.810443, 9.876303, 9.808596, 9.953805, 9.702340 -48.36098, -62.87768, -39.29731, -38.51472, -79.33189, -60.95542, -60.15050, -59.17875, -59.42479, -38.11562, -93.22553, -47.84011, -50.85948, -67.49252, -45.86527, -54.47389, -49.50091, -47.78196, -47.08564, -43.20098
30 9.753890, 9.882566, 9.948838, 9.909858, 9.925477, 9.867925, 9.946908, 9.899083, 9.719962, 9.903003, 9.932988, 9.699905, 9.935665, 9.874112, 9.808498, 9.761734, 9.971818, 9.946623, 9.926611, 9.759464, 9.893159, 9.945018, 9.903886, 9.876799, 9.900915, 9.867815, 9.909494, 9.917283, 9.705940, 9.911053 -47.28062, -78.24898, -45.48192, -55.32226, -57.28521, -67.29144, -62.86812, -65.91165, -65.54471, -59.60907, -68.10183, -54.10744, -58.76892, -72.48882, -44.34465, -52.66049, -50.65052, -61.07016, -66.25027, -37.94665, -72.96043, -71.85281, -71.51703, -46.71041, -55.65197, -80.90889, -51.24323, -55.88449, -38.70559, -67.99441
40 9.667174, 9.839923, 9.945988, 9.843621, 9.785777, 9.881130, 9.920281, 9.906531, 9.879427, 9.936875, 9.933679, 9.790257, 9.973418, 9.875428, 9.835685, 9.747966, 9.956840, 9.958625, 9.872589, 9.949177, 9.910855, 9.955425, 9.934096, 9.894234, 9.847775, 9.866756, 9.910274, 9.929505, 9.836213, 9.900754, 9.891181, 9.904500, 9.922682, 9.839310, 9.839723, 9.695839, 9.758461, 9.939982, 9.823852, 9.894570 -37.81194, -57.30010, -49.50021, -56.10211, -51.42401, -84.66887, -57.59932, -62.14155, -58.61261, -58.66012, -70.69231, -56.37079, -69.69883, -72.24370, -50.08667, -61.59105, -49.59088, -75.16533, -69.85191, -44.78869, -70.52142, -44.16777, -72.00102, -91.67622, -48.90048, -67.41238, -47.53227, -59.22942, -50.76301, -70.60617, -81.15616, -59.18993, -75.72475, -47.87710, -95.25401, -39.44752, -59.26051, -63.16376, -55.63020, -49.62694
50 9.746418, 9.893381, 9.925573, 9.868023, 9.895456, 9.944297, 9.958534, 9.921006, 9.892510, 9.944077, 9.943115, 9.910005, 9.954565, 9.928538, 9.952929, 9.900940, 9.946806, 9.909799, 9.817226, 9.948099, 9.845306, 9.955109, 9.936018, 9.940261, 9.852087, 9.932254, 9.953523, 9.939317, 9.879848, 9.932469, 9.942733, 9.827533, 9.922415, 9.912235, 9.885159, 9.704620, 9.826186, 9.858001, 9.852816, 9.875649, 9.902083, 9.869540, 9.836237, 9.949089, 9.933785, 9.852031, 9.932659, 9.927430, 9.887911, 9.853624 -44.82005, -82.89123, -60.76695, -51.32149, -72.75885, -87.27243, -55.58940, -59.29327, -69.12231, -63.21869, -69.62297, -70.71232, -60.03615, -73.33677, -79.91256, -87.44866, -49.49932, -71.21350, -81.40262, -45.20568, -57.04814, -78.81139, -71.98484, -45.94761, -37.40032, -88.53168, -66.67389, -62.70773, -54.35641, -59.40558, -69.81837, -60.21256, -74.64408, -56.80855, -108.38681, -43.07783, -51.93602, -79.41385, -66.67953, -48.45999, -51.41274, -67.65002, -89.18615, -84.35109, -86.28198, -64.96817, -74.73104, -79.78750, -73.83285, -69.93366

\(\rightarrow\) TED Talks seem to contain about 30 topics!

7.4.5 Visualization and Model Interpretation

After inspecting the different topic models, we found that the model with 30 topics includes the most useful topics for our analysis.

Now let’s see what this topic model tells us about the Ted Talk Corpus and our research questions.

7.4.6 Highest word probabilities for each topic

In order to gain valuable insights into the topics found and to be able to make nice visualizations, I would recommend using ggplot2.

To do so, first, we have to transform our stm-object to a ggplot2- and tidyverse compatible format using the {tidytext}-package.

One good idea is to plot the most likely words per topic. For this we have to extract the beta values from out topic model (beta is the probability of words belonging to topics) and perform some ggplot coding.

Unfortunately, with this high number of topics (remember, k is set to 30 here), the small multiples get quite small. Maybe consider to use a shiny app to explore all your topics. For an demonstration see here.

7.4.6.1 Top words per topic

## A topic model with 30 topics, 2333 documents and a 4805 word dictionary.
## Topic 1 Top Words:
##       Highest Prob: <U+266B>, song, la, sing, love, oh, music 
##       FREX: <U+266B>, la, song, sing, loop, gonna, ooh 
##       Lift: <U+266B>, la, song, sing, coke, ooh, ski 
##       Score: <U+266B>, song, la, sing, ooh, poem, music 
## Topic 2 Top Words:
##       Highest Prob: play, game, team, win, player, video, feel 
##       FREX: game, player, win, toy, athlet, play, sport 
##       Lift: jersey, championship, game, athlet, basebal, player, olymp 
##       Score: game, jersey, play, player, coach, athlet, toy 
## Topic 3 Top Words:
##       Highest Prob: guy, ok, oh, yeah, stuff, sort, okay 
##       FREX: ok, yeah, oh, guy, okay, stuff, ted 
##       Lift: da, ok, yeah, oh, uh, um, dude 
##       Score: da, ok, yeah, oh, stuff, card, guy 
## Topic 4 Top Words:
##       Highest Prob: countri, africa, india, china, chines, african, state 
##       FREX: india, africa, china, african, chines, indian, villag 
##       Lift: curtain, ghana, india, nigeria, africa, african, china 
##       Score: curtain, africa, countri, india, china, african, chines 
## Topic 5 Top Words:
##       Highest Prob: light, planet, univers, star, earth, galaxi, dark 
##       FREX: galaxi, star, telescop, light, sun, dark, planet 
##       Lift: galaxi, hover, wavelength, astronomi, asteroid, telescop, jupit 
##       Score: galaxi, telescop, hover, planet, solar, asteroid, orbit 
## Topic 6 Top Words:
##       Highest Prob: earth, ice, fli, mar, feet, water, space 
##       FREX: ice, mar, pole, feet, cave, satellit, mountain 
##       Lift: iceberg, glacier, volcano, altitud, antarctica, ice, pole 
##       Score: iceberg, mar, ice, glacier, satellit, expedit, pole 
## Topic 7 Top Words:
##       Highest Prob: dna, cell, gene, materi, biolog, organ, molecul 
##       FREX: dna, genom, molecul, bacteria, gene, genet, sequenc 
##       Lift: silk, chromosom, genom, spider, microb, bacteria, mushroom 
##       Score: silk, bacteria, genom, gene, molecul, dna, microb 
## Topic 8 Top Words:
##       Highest Prob: energi, oil, climat, power, electr, percent, fuel 
##       FREX: oil, energi, fuel, nuclear, climat, electr, emiss 
##       Lift: fusion, coal, emiss, co2, watt, renew, fuel 
##       Score: fusion, climat, co2, carbon, solar, energi, emiss 
## Topic 9 Top Words:
##       Highest Prob: war, polit, power, countri, state, democraci, govern 
##       FREX: elect, democraci, vote, polit, muslim, militari, conflict 
##       Lift: toni, afghan, diplomat, republican, citizenship, bomber, civilian 
##       Score: toni, democraci, islam, muslim, polit, afghanistan, elect 
## Topic 10 Top Words:
##       Highest Prob: book, word, languag, write, read, english, speak 
##       FREX: languag, book, english, write, translat, cartoon, dictionari 
##       Lift: dictionari, spell, paragraph, cartoon, grammar, linguist, languag 
##       Score: dictionari, book, languag, poem, english, write, text 
## Topic 11 Top Words:
##       Highest Prob: food, plant, eat, farmer, farm, bee, grow 
##       FREX: food, bee, farmer, farm, crop, bread, agricultur 
##       Lift: bee, beef, chef, crop, bread, food, wheat 
##       Score: bee, food, plant, farmer, agricultur, crop, insect 
## Topic 12 Top Words:
##       Highest Prob: believ, god, feel, compass, cultur, mind, moment 
##       FREX: compass, self, religion, god, religi, faith, desir 
##       Lift: grate, compass, spiritu, medit, mystic, rabbi, self 
##       Score: grate, compass, religion, self, god, religi, spiritu 
## Topic 13 Top Words:
##       Highest Prob: women, men, girl, woman, black, young, sex 
##       FREX: women, men, gender, gay, girl, woman, sexual 
##       Lift: pizza, women, gay, gender, feminist, men, lesbian 
##       Score: women, pizza, men, girl, gay, gender, woman 
## Topic 14 Top Words:
##       Highest Prob: brain, robot, neuron, move, memori, bodi, control 
##       FREX: robot, neuron, brain, ant, memori, cortex, motor 
##       Lift: ant, robot, neuron, cortex, neurosci, neural, brain 
##       Score: ant, robot, brain, neuron, cortex, neural, spinal 
## Topic 15 Top Words:
##       Highest Prob: comput, technolog, machin, design, devic, system, build 
##       FREX: comput, machin, devic, technolog, fold, softwar, 3d 
##       Lift: fold, augment, 3d, comput, pixel, printer, machin 
##       Score: fold, comput, design, technolog, machin, algorithm, devic 
## Topic 16 Top Words:
##       Highest Prob: feel, studi, experi, choic, happi, emot, social 
##       FREX: choic, moral, psycholog, emot, relationship, bias, happi 
##       Lift: laughter, psychologist, disgust, psycholog, satisfact, happier, persuas 
##       Score: laughter, social, moral, emot, choic, psycholog, bias 
## Topic 17 Top Words:
##       Highest Prob: school, kid, student, educ, children, teacher, teach 
##       FREX: school, teacher, student, kid, educ, classroom, teach 
##       Lift: calculus, tutor, classroom, teacher, curriculum, kindergarten, grade 
##       Score: calculus, school, teacher, kid, educ, student, classroom 
## Topic 18 Top Words:
##       Highest Prob: data, internet, inform, network, onlin, share, media 
##       FREX: internet, onlin, data, twitter, web, googl, facebook 
##       Lift: tedtalk, twitter, blogger, browser, wikipedia, upload, facebook 
##       Score: tedtalk, data, twitter, internet, onlin, web, facebook 
## Topic 19 Top Words:
##       Highest Prob: stori, film, movi, photograph, imag, pictur, charact 
##       FREX: film, movi, photograph, charact, shot, tom, camera 
##       Lift: tom, filmmak, film, comedi, photographi, comic, cinema 
##       Score: tom, film, photograph, movi, storytel, comedi, camera 
## Topic 20 Top Words:
##       Highest Prob: love, famili, stori, mother, home, father, told 
##       FREX: father, mother, famili, mom, felt, sister, dad 
##       Lift: mama, goodby, uncl, father, birthday, hug, fled 
##       Score: mama, father, famili, mother, dad, love, mom 
## Topic 21 Top Words:
##       Highest Prob: ca, govern, law, prison, inform, secur, compani 
##       FREX: ca, prison, legal, crimin, patent, crime, polic 
##       Lift: ca, fraud, surveil, hacker, crimin, enforc, legal 
##       Score: ca, crimin, prison, hacker, surveil, polic, govern 
## Topic 22 Top Words:
##       Highest Prob: cancer, cell, patient, bodi, blood, diseas, heart 
##       FREX: cancer, surgeri, tumor, stem, breast, blood, surgeon 
##       Lift: devil, chemotherapi, tumor, cancer, surgeri, breast, surgic 
##       Score: devil, cancer, patient, tumor, cell, breast, tissu 
## Topic 23 Top Words:
##       Highest Prob: water, ocean, fish, forest, tree, sea, speci 
##       FREX: forest, whale, shark, fish, coral, ocean, reef 
##       Lift: whale, reef, forest, shark, coral, wildlif, dolphin 
##       Score: whale, coral, ocean, forest, shark, reef, fish 
## Topic 24 Top Words:
##       Highest Prob: health, diseas, care, patient, medic, drug, doctor 
##       FREX: health, vaccin, hiv, hospit, medic, diseas, infect 
##       Lift: alzheim, ebola, flu, vaccin, hiv, epidem, tuberculosi 
##       Score: alzheim, patient, diseas, health, hiv, vaccin, drug 
## Topic 25 Top Words:
##       Highest Prob: citi, build, design, space, project, hous, communiti 
##       FREX: citi, architectur, urban, architect, neighborhood, build, design 
##       Lift: lego, citi, architect, architectur, rio, urban, mayor 
##       Score: lego, citi, design, architectur, build, urban, architect 
## Topic 26 Top Words:
##       Highest Prob: anim, speci, evolut, dinosaur, natur, creatur, million 
##       FREX: dinosaur, chimpanze, evolut, monkey, extinct, ancestor, mosquito 
##       Lift: dinosaur, homo, chimpanze, sapien, ape, sperm, parasit 
##       Score: dinosaur, speci, chimpanze, mosquito, anim, mammal, insect 
## Topic 27 Top Words:
##       Highest Prob: money, dollar, busi, compani, market, percent, econom 
##       FREX: market, invest, capit, sector, busi, money, financi 
##       Lift: congest, investor, entrepreneuri, sector, philanthropi, entrepreneurship, profit 
##       Score: congest, economi, econom, market, sector, dollar, money 
## Topic 28 Top Words:
##       Highest Prob: music, art, sound, play, artist, paint, hear 
##       FREX: art, artist, music, paint, sound, musician, piano 
##       Lift: violin, orchestra, piano, musician, music, artist, artwork 
##       Score: violin, music, art, artist, paint, museum, sculptur 
## Topic 29 Top Words:
##       Highest Prob: car, walk, hour, four, guy, drive, sit 
##       FREX: car, morn, driver, seat, shoe, crash, drive 
##       Lift: jam, hobbi, pad, car, taxi, crash, candi 
##       Score: jam, car, driver, leg, lane, seat, ride 
## Topic 30 Top Words:
##       Highest Prob: scienc, number, theori, univers, model, mathemat, pattern 
##       FREX: theori, mathemat, particl, scienc, conscious, quantum, pattern 
##       Lift: symmetri, mathematician, quantum, mathemat, newton, theori, particl 
##       Score: symmetri, particl, quantum, mathemat, scienc, mathematician, theori