Diachronic Word Embeddings Reveal Statistical Laws of Semantic Change

William L. Hamilton, Jure Leskovec, Dan Jurafsky · ACL / arXiv · 2016 · digital-humanities · 10.18653/v1/P16-1141 · record hamilton2016-diachronic-embeddings
tag layer · index · concepts · authors · עברית
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How to read this page. The article itself is not reproduced here — this paper is not cleared for redistribution, so what follows is the tag layer alone. The evidence sentences are withheld with the article. The table at the foot lists every tag the record carries; each row names the facet it belongs to, and the whose words column says whether the tag records the paper's own wording or the tagger's sentence about the paper. Every tag links to each other paper in the corpus carrying it. The machine-readable edition of the same thing is the TEI file beside this one, where the tags live in standOff, and the article is at its publisher via the link below. When we have changed our mind. Some entries in the table begin with a word in capitals and the reason for it. EVIDENCE CORRECTED — the finding still stands, but we had quoted the wrong sentence from the paper, and the quotation has been replaced with the right one. RETRACTED — the entry itself was wrong; it stays on the page, marked, with the reason, rather than being deleted. WITHDRAWN AND REPLACED — the entry was wrong, and a corrected version of it appears in the entries below. Each mark carries its own reason, in brackets, because the reasons differ from one entry to the next. An entry we have WITHDRAWN is removed from this page and kept in the record, with its reason. A line reading Audit and a date is a later re-reading of the entry against its whole sentence: DOUBTFUL means it was kept, and the reason says what is loose about it. Quotation marks inside the tagger's sentence. Where a tag is the tagger's own sentence, a phrase in quotation marks inside it is borrowed from the paper — the tagger's wording around it is not. The paper's own sentence is the evidence quote for that row; on this page it is withheld with the article, and the article is at its publisher. Nothing inside quotation marks anywhere on this page is ours: if it is quoted, it is the paper's. Whose words a concept carries. A concept entry records a term the paper itself uses, so the term, the sense given for it, and its evidence are the paper's own words, quoted where the paper fixes them. This is the opposite of a sense entry in the tag table, which is the tagger's sentence about how the paper uses a term. Where a concept entry could not be grounded in the paper's words, the entry says so on its own row.
Other fields define these differently the same word, defined another way in another discipline
learning 7 fields · sample-size 5 fields · statistical-significance 2 fields · frequency 2 fields · linear regression 2 fields · semantic 2 fields · and 1 more →

Tags on this paper

Every tag the record carries, each linking to every other paper in the corpus that carries it. A tag appears here whether or not its words occur in the article — the spans below are only the ones a sentence in this paper licenses. Of the 47 concept tags on this paper, 44 are grounded in a quoted sentence. 38 carry the tagger's gloss of what the term means in this paper, which is not something the article can license.
word embedding semantic change diachronic analysis distributional semantics law of innovation law of conformity polysemy word frequency PPMI distributional methods co-occurrence relationships distributional hypothesis semantic similarity/distance cosine similarity/distance SVD embeddings low-dimensional approximations of the PPMI embeddings dimensionality reduction regularization SGNS ‘neural’ embeddings skip-gram with negative sampling incremental initialization Google N-Gram datasets corpus artifacts COHA corpus orthogonal Procrustes rotational alignment Pair-wise similarity time-series pairwise similarity shifts Spearman correlation semantic displacement cos-dist synchronic accuracy diachronic validity detecting known shifts discovering shifts from data linear mixed model random intercepts per word fixed effects per decade contextual diversity polysemousness empirical co-occurrence network clustering coefficient discourse function words controlling for frequency null model learning sociocultural conformity bias statistical laws of semantic change: the rate of change scales as an inverse power-law of word frequency (law of conformity) and rises with polysemy (law of innovation) semantic change word embeddings frequency polysemous diachronic historical corpora rate of semantic change Bayesian correlation Pearson hypothesis-testing test hypotheses statistical-significance regression linear regression sample-size sample sizes statistically significant variance corpus-analysis
Method, as described: computational-corpus-analysis

Legend

relation to other workclaim_relationshow this paper stands to another: agrees, contradicts, extends, qualifies
claim typeclaim_typethe shape of the claim: existence, mechanism, method, critique, prediction, null
concept edgeconcept_edgesan asserted relation between two concepts, with the sentence asserting it
conceptconceptsan idea the paper works with, quoted where the paper uses it
content tagcontent_tagsa finding, definition, quantity, statistic or variable named in the paper
controlcontrolsan experiment run to eliminate a rival explanation
limitationlimitationswhat the paper says its evidence cannot support
mechanismmechanismshow the reported effect is said to come about
methodmethodhow the paper produced its evidence
phenomenonphenomenonthe effect or regularity under study
sensesensesa distinct use of a term, quoted where the paper fixes it
transfertransfersa method or concept carried in from another field
unrecordable relationunhoused_relationsa relation the paper asserts that this vocabulary cannot express, with the reason

The paper

The full text is not reproduced here. This article is not cleared for redistribution, so the page carries the tag layer only. Its evidence sentences are withheld; the grounding status remains with each tag, and the article itself is at https://doi.org/10.18653/v1/P16-1141. The reading view exists for the papers whose licence permits it.

Every tag on this page

claim_relations 4 · claim_type 1 · concept_edges 8 · concepts 44 · content_tags 11 · controls 1 · limitations 8 · mechanisms 1 · method 1 · phenomenon 1 · senses 18 · transfers 1 · unhoused_relations 7

Relations on this page carry a quotation for the claim. Where a relation was separately evidenced — and so tested against the vocabulary for its type — the row says so; 6 of 8 relations here carry that mark. The rest are the tagger’s reading of the sentence quoted beside them.

facettagfieldconf.whose words
claim_typeexistence
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claim_typethe paper's words
phenomenonsemantic change
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phenomenonthe paper's words
methodcorpus-analysis
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methodthe paper's words
mechanismsmechanisms
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mechanisms[0]the tagger's words
limitationsThe paper's results are correlational; it explicitly declines to claim the causal mechanisms it speculates about.
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what this limits: the mechanistic story: WHILE OUR RESULTS CANNOT CONFIRM SUCH CAUSAL LINKS, THEY NONETHELESS HIGHLIGHT A NEW ROLE FOR FREQUENCY AND POLYSEMY - correlational by the authors' own statement
limitations[0]the tagger's words
limitationsThe polysemy proxy (local clustering coefficient in a PPMI co-occurrence network) is biased towards rating contextually diverse function words as highly polysemous.
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what this limits: every polysemy score: the measure IS SLIGHTLY BIASED TOWARDS RATING CONTEXTUALLY DIVERSE DISCOURSE FUNCTION WORDS (E.G., ALSO) AS HIGHLY POLYSEMOUS
limitations[1]the tagger's words
limitationsPolysemy has no agreed ground truth to validate the measure against.
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what this limits: any validation of a polysemy measure at all: MEASURING WORD POLYSEMY IS A DIFFICULT AND FRAUGHT TASK, AS EVEN 'GROUND TRUTH' DICTIONARIES DIFFER IN THE NUMBER OF SENSES THEY ASSIGN TO WORDS
limitations[2]the tagger's words
limitationsThe main corpora contain artifacts from shifting sampling biases over time.
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what this limits: every result computed on that corpus: THE GOOGLE N-GRAM DATASETS ... CONTAIN MANY CORPUS ARTIFACTS DUE, E.G., TO SHIFTING SAMPLING BIASES OVER TIME
limitations[3]the tagger's words
limitationsPart of the polysemy result (the negative curvature at high polysemy) is not robust across datasets or methods.
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what this limits: the polysemy curvature result specifically: IT VARIES ACROSS DATASETS AND WAS NOT PRESENT WITH SGNS, SO IT IS NOT AS ROBUST AS THE CLEAR LINEAR TREND
limitations[4]the tagger's words
limitationsThe paper's second law is stated in two logically different forms, two pages apart.
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what this limits: any citation of the law of innovation: the abstract states it as holding independent of frequency, while the introduction states it as holding after controlling for frequency and adds 'significantly', and the two are not the same claim
limitations[5]1.0the tagger's words
limitationsOne of the three methods is stated to be prone to false discoveries.
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what this limits: any result computed with PPMI embeddings: the authors state
limitations[6]1.0the tagger's words
limitationsThe choice between the two remaining methods is left unsettled by the paper's own benchmarks.
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what this limits: any rate of semantic change quoted from this work: between SVD and SGNS the results are described as somewhat equivocal, with each performing best on two of the four tasks
limitations[7]1.0the tagger's words
transfersword embeddings (word2vec) applied across time to quantify historical semantic change
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transfers[0]the tagger's words
controlsword frequency, in the law of innovation
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eliminates: the reading that polysemous words change faster only because they are rarer · outcome (stated by the tagger, no quotation): held
controls[0]1.0the tagger's words
conceptssemantic change
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concepts[1]the paper's words
conceptslaw of innovation
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concepts[4]the paper's words
conceptslaw of conformity
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concepts[5]the paper's words
conceptspolysemy
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also in: polysemy
concepts[6]the paper's words
conceptsword frequency
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concepts[7]the paper's words
conceptsPPMI
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also in: PPMI
concepts[8]the paper's words
conceptsdistributional methods
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concepts[9]0.95the paper's words
conceptsco-occurrence relationships
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concepts[10]0.95the paper's words
conceptsdistributional hypothesis
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concepts[11]0.95the paper's words
conceptssemantic similarity/distance
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concepts[12]0.95the paper's words
conceptscosine similarity/distance
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concepts[13]0.95the paper's words
conceptsSVD embeddings
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concepts[14]0.95the paper's words
conceptslow-dimensional approximations of the PPMI embeddings
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concepts[15]0.95the paper's words
conceptsdimensionality reduction
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concepts[16]0.95the paper's words
conceptsregularization
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concepts[17]0.95the paper's words
conceptsSGNS ‘neural’ embeddings
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concepts[18]0.95the paper's words
conceptsskip-gram with negative sampling
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concepts[19]0.95the paper's words
conceptsincremental initialization
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concepts[20]0.95the paper's words
conceptsGoogle N-Gram datasets
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concepts[21]0.95the paper's words
conceptscorpus artifacts
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concepts[22]0.95the paper's words
conceptsCOHA corpus
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also in: COHA corpus
concepts[23]0.95the paper's words
conceptsorthogonal Procrustes
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concepts[24]0.95the paper's words
conceptsrotational alignment
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concepts[25]0.95the paper's words
conceptsPair-wise similarity time-series
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concepts[26]0.95the paper's words
conceptspairwise similarity shifts
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concepts[27]0.95the paper's words
conceptsSpearman correlation
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concepts[28]0.95the paper's words
conceptssemantic displacement
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concepts[29]0.95the paper's words
conceptscos-dist
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also in: cos-dist
concepts[30]0.95the paper's words
conceptssynchronic accuracy
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concepts[31]0.95the paper's words
conceptsdiachronic validity
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concepts[32]0.95the paper's words
conceptsdetecting known shifts
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concepts[33]0.95the paper's words
conceptsdiscovering shifts from data
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concepts[34]0.95the paper's words
conceptslinear mixed model
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concepts[35]0.95the paper's words
conceptsrandom intercepts per word
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concepts[36]0.95the paper's words
conceptsfixed effects per decade
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concepts[37]0.95the paper's words
conceptscontextual diversity
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concepts[38]0.95the paper's words
conceptspolysemousness
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concepts[39]0.95the paper's words
conceptsempirical co-occurrence network
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concepts[40]0.95the paper's words
conceptsclustering coefficient
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concepts[41]0.95the paper's words
conceptsdiscourse function words
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concepts[42]0.95the paper's words
conceptscontrolling for frequency
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concepts[43]0.95the paper's words
conceptsnull model
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also in: null model
concepts[44]0.95the paper's words
conceptslearning
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also in: learning
concepts[45]0.9the paper's words
conceptssociocultural conformity bias
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concepts[46]0.9the paper's words
unhoused_relationsSGNS → skip-gram with negative sampling
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SGNS abbreviates skip-gram with negative sampling; acronym-expansion is absent from the edge registry.
unhoused_relations[0]0.95the tagger's words
unhoused_relationsSVD → singular value decomposition
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SVD abbreviates singular value decomposition; acronym-expansion is absent from the edge registry.
unhoused_relations[1]0.95the tagger's words
unhoused_relationsclustering coefficient → polysemousness
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A lower clustering coefficient indicates higher polysemousness; inverse-association is absent from the edge registry.
unhoused_relations[2]0.95the tagger's words
unhoused_relationslearning → law of conformity
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Learning errors are offered as a possible mechanism for the conformity law; hypothesized-mechanism-for is absent from the edge registry.
unhoused_relations[3]0.9the tagger's words
unhoused_relationssociocultural conformity bias → law of conformity
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Sociocultural conformity bias is offered as another possible mechanism; hypothesized-mechanism-for is absent from the edge registry.
unhoused_relations[4]0.9the tagger's words
unhoused_relationsrotational alignment → orthogonal Procrustes
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Orthogonal Procrustes is used to obtain rotational alignment; implemented-by is absent from the edge registry.
unhoused_relations[5]0.95the tagger's words
unhoused_relationspolysemy → contextual diversity
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Contextual diversity is used as a proxy for polysemy; proxy-for is absent from the edge registry.
unhoused_relations[6]0.95the tagger's words
sensesthe law of innovation - TWO STATEMENTS, ONE NAME: the abstract has it holding 'independent of frequency' and the introduction 'after controlling for frequency', with 'significantly' added in the second; independence and a residual surviving adjustment are different claims, and the name that travels does not say which one is meant
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senses[0]1.0the tagger's words
sensesa rate of semantic change - A NUMBER PRODUCED BY A CHOICE OF EMBEDDING: PPMI, SVD and SGNS are ranked against each other by the paper itself, PPMI is called clearly worse and prone to false discoveries from genre shifts, and between the other two the result is equivocal - so the construct's value depends on an instrument the paper declines to settle
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senses[1]1.0the tagger's words
sensesa law - PROPOSED, NOT DERIVED: the authors say they PROPOSE two statistical laws relating frequency and polysemy to semantic change, fitted over six corpora, and the record's existing limitation already records that the analysis is correlational and the causal mechanisms are declined
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senses[2]1.0the tagger's words
sensesDistributional hypothesis - word meaning represented implicitly by co-occurrence relationships
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senses[3]0.95the tagger's words
sensesSVD embedding - low-dimensional regularized approximation to a PPMI representation
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senses[4]0.95the tagger's words
sensesSGNS embedding - word/context vectors trained with skip-gram negative sampling
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senses[5]0.95the tagger's words
sensesGoogle N-Grams / COHA - very large artifact-prone sample versus smaller genre-balanced corpus
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senses[6]0.95the tagger's words
sensesOrthogonal Procrustes - cosine-preserving rotational alignment of embeddings across periods
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senses[7]0.95the tagger's words
sensesPair-wise similarity series - changing cosine similarity summarized against time by Spearman correlation
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senses[8]0.95the tagger's words
sensesSemantic displacement - cosine distance between one word’s aligned representations at different times
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senses[9]0.95the tagger's words
sensesSynchronic accuracy / diachronic validity - within-period similarity versus across-time change performance
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senses[10]0.95the tagger's words
sensesDetection / discovery benchmarks - recovery of known shifts versus expert judgment of inferred shifts
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senses[11]0.95the tagger's words
sensesSVD / SGNS trade-off - sensitivity to subtle shifts versus robustness to corpus artifacts
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senses[12]0.95the tagger's words
sensesLinear mixed model - word random intercepts and decade fixed effects for displacement regression
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senses[13]0.95the tagger's words
sensesContextual diversity - network-neighborhood proxy for polysemousness
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senses[14]0.95the tagger's words
sensesLocal clustering coefficient - inverse polysemy score from co-occurrence-neighbor connectivity
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senses[15]0.95the tagger's words
sensesFrequency control - necessary because polysemy proxy and word frequency are intrinsically correlated
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senses[16]0.95the tagger's words
sensesLaw of conformity null model - frequency-driven baseline for other semantic-change interactions
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senses[17]0.95the tagger's words
claim_relationsbuilds-on → prior distributional work on semantic change (Sagi et al., 2011; Wijaya and Yeniterzi, 2011; Gulordava and Baroni, 2011; Jatowt and Duh, 2014; Kulkarni et al., 2014; Xu and Kemp, 2015) and novel-sense detection (Lau et al., 2012; Mitra et al., 2014; Cook et al., 2014; Mitra et al., 2015; Frermann and Lapata, 2016)
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claim_relations[0]the tagger's words
claim_relationsextends → the same lines of quantitative / distributional work on semantic change
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claim_relations[1]the tagger's words
claim_relationscontradicts → Wilkins (1993); Hopper and Traugott (2003), who argued that semantic change leads to polysemy
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claim_relations[2]the tagger's words
claim_relationsreplicates → Levy et al. (2015)
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claim_relations[3]the tagger's words
concept_edgesword frequency —causes→ semantic change
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direction on the measure: reduces · strength of the relation: 0.8
concept_edges[0]the tagger's words
concept_edgespolysemy —causes→ semantic change
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holds when: after controlling for word frequency · direction on the measure: increases · strength of the relation: 0.8
concept_edges[1]the tagger's words
concept_edgesdistributional hypothesis —operationalised-as→ co-occurrence relationships
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the relation itself is separately evidenced · strength of the relation: 1 · note: The paper explicitly says the methods operationalize the hypothesis through co-occurrence.
concept_edges[2]0.95the tagger's words
concept_edgessemantic similarity/distance —operationalised-as→ cosine similarity/distance
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the relation itself is separately evidenced · strength of the relation: 1 · note: Semantic similarity/distance is approximated by cosine similarity/distance.
concept_edges[3]0.95the tagger's words
concept_edgesSVD embeddings —is-a→ low-dimensional approximations of the PPMI embeddings
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the relation itself is separately evidenced · strength of the relation: 1 · note: The paper states SVD embeddings correspond to low-dimensional PPMI approximations.
concept_edges[4]0.95the tagger's words
concept_edgespairwise similarity shifts —operationalised-as→ Spearman correlation
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the relation itself is separately evidenced · strength of the relation: 1 · note: Pairwise shifts are assessed with Spearman correlation against time.
concept_edges[5]0.95the tagger's words
concept_edgessemantic change —operationalised-as→ cos-dist
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the relation itself is separately evidenced · strength of the relation: 1 · note: Cosine distance between aligned representations is explicitly used as a semantic-change measure.
concept_edges[6]0.95the tagger's words
concept_edgesSVD embeddings —contrasted-with→ SGNS ‘neural’ embeddings
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the relation itself is separately evidenced · strength of the relation: 1 · note: The paper contrasts SVD sensitivity with SGNS robustness and their task strengths. Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the span compares the methods 'SVD' and 'SGNS', not 'SVD embeddings' / 'SGNS ‘neural’ embeddings'.
concept_edges[7]0.95the tagger's words
content_tags6 corpora / 4 languages / 2 centuries — empirical scope of the study
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content_tags.quantities[0]the tagger's words
content_tagsinverse power-law — how semantic-change rate scales with word frequency (law of conformity)
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content_tags.quantities[1]the tagger's words
content_tagsTwo quantitative laws of semantic change: conformity (change rate falls as an inverse power of word frequency) and innovation (more polysemous words change faster, independent of frequency).
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about this quote: QUOTE REPAIRED: the extractor split a hyphen-space and the quote was recorded faithfully with the damage in it, which made it unanchorable. The repaired string is an EXACT SUBSTRING of the staged text - that is why it was accepted, not because a rule produced it. The text as originally recorded is kept in evidence as extracted.
content_tags.findings[0]the tagger's words
content_tagsrate of semantic change
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content_tags.variables[1]the tagger's words
content_tagslaw of conformity
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content_tags.definitions[0]the tagger's words
content_tagslaw of innovation
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content_tags.definitions[1]the tagger's words
content_tagsBayesian
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about this quote: QUOTE REPAIRED: the extractor split a hyphen-space and the quote was recorded faithfully with the damage in it, which made it unanchorable. The repaired string is an EXACT SUBSTRING of the staged text - that is why it was accepted, not because a rule produced it. The text as originally recorded is kept in evidence as extracted.
also in: Bayesian
content_tags.statistics[0]the tagger's words
content_tagscorrelation
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about this quote: QUOTE REPAIRED: the extractor split a hyphen-space and the quote was recorded faithfully with the damage in it, which made it unanchorable. The repaired string is an EXACT SUBSTRING of the staged text - that is why it was accepted, not because a rule produced it. The text as originally recorded is kept in evidence as extracted.
also in: correlation
content_tags.statistics[1]the tagger's words
content_tagshypothesis-testing
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content_tags.statistics[2]the tagger's words
content_tagsstatistical-significance
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content_tags.statistics[3]the tagger's words
content_tagsstatistical-significance
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content_tags.statistics[6]the tagger's words

Interpretive choices

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