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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Sequential Patterns of POS Labels Help to Characterize Language Acquisition</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Isabelle Tellier</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Zineb Makhlouf</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yoann Dupont</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>(1) Lattice, CNRS - UMR 8094, (2) University Paris 3 - Sorbonne Nouvelle</institution>
        </aff>
      </contrib-group>
      <fpage>129</fpage>
      <lpage>142</lpage>
      <abstract>
        <p>In this paper, we try to characterize various steps of the syntax acquisition of their native language by children with emerging sequential patterns of Part Of Speech (POS) labels. To achieve this goal, we first build a set of corpora from the French part of the CHILDES database. Then, we study the linguistic utterances of the children of various ages with tools coming from Natural Language Processing (morpho-syntactic labels obtained by supervised machine learning) and sequential Data Mining (emerging patterns among the sequences of morpho-syntactc labels). This work thus illustrates the interest of combining both approaches. We show that the distinct ages can be characterized by variations of proportions of morpho-syntactic labels, which are also clearly visible inside the emerging patterns.</p>
      </abstract>
      <kwd-group>
        <kwd />
        <kwd>language acquisition</kwd>
        <kwd>POS labeling</kwd>
        <kwd>CRF</kwd>
        <kwd>Sequential Data Mining</kwd>
        <kwd>emerging patterns</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>The acquisition of their native language by children, especially how grammatical
constructions are gradually mastered, is a process which largely remains
mysterious. Some researches address this issue within a Natural Language Processing
framework, for example by implementing programs trying to mimic the learning
process [CM06,Ali10]. Our approach in this paper is different: we do not target
to reproduce, but to mine children productions, from a morphosyntactic point
of view. More precisely, we study the linguistic utterances of children of
various ages, seen as sequences of part-of-speech (POS) labels, with sequential data
mining tools.</p>
      <p>Sequential data mining can be applied to any kind of data following an order
relation. This relation is often related to time; for texts, it is only the linear
order of words in sentences. Sequential data mining allows to extract sequential
patterns, that is sequences or sub-sequences of itemsets that repeatedly occur in
the data. This domain has given rise to many works [AS95,SA96,Zak01,NR07].
If the extracted sequences are contiguous portions of texts, patterns coincides
with the older notion of repeated segments [Sal86].</p>
      <p>When data are composed of natural language texts, the itemsets are not
necessarily reduced to words: lemmas and POS labels can also be taken into account.
The use of sequential data mining technics in such a linguistic context has
recently been tested for the extraction of Named Entities [NAFS13], the discovery
of relations between entities in the biological field [CPRC09,CCP10,BCCC12] or
the study of stylistic differences between textual genres [QCCL12]. As we look
at the emergence of grammatical constructions in children, we are mainly
interested here in patterns of morpho-syntactic labels. As a matter of fact, they are
more general than words or lemmas and provide more abstract characterizations
of a given age. We seek in particular to exhibit specific emerging patterns for
different age groups.</p>
      <p>The remaining of the article is as follows. First, we present the way our
corpora of children’s productions of different age groups have been collected.
Then, we explain how we processed their morpho-syntactic analysis. Observing
that usual POS taggers available for French made many mistakes on our data, we
have built a new one, by training a machine learning device (a CRF model) on a
reduced set of manually corrected data. We show that, despite this reduced set of
manual corrections, the new tagger obtained behaves far better than the previous
one on our data. Finally, the last part of the paper describes the technique used
for the extraction of n-grams of morpho-syntactic labels of each specific age
group and provides quantitative and qualitative analyses of the corresponding
emerging patterns.
2
2.1</p>
    </sec>
    <sec id="sec-2">
      <title>Corpora</title>
      <sec id="sec-2-1">
        <title>The CHILDES Corpus</title>
        <p>Several resources collecting children’s productions exist online, as those
available in the CNRTL1. But the best known and most widely used database is
CHILDES2 [Elm01], a multilingual corpus of transcriptions of recorded
interactions between adults and children. In this article, we are only interested in
the French part of these data. The recordings of a child cover several months or
years, the age of the children may therefore vary from one record to another.
Relying on the transcription manual3 which explicits the meta-data associated
with the corpus, we created six different sub-corpora corresponding to six age
groups: from the "1-2 years" to the "6-7 years".
2.2</p>
      </sec>
      <sec id="sec-2-2">
        <title>Pretreatments</title>
        <p>In this corpus, children and parents communicate by speech turns. Each speech
turn is transcribed and delimited by a period. In the following, we consider that
each line corresponds to a "sentence". The transcriptions are annotated and are
often followed by additional information in a (semi-)standard format allowing
to describe elements of the situation (e.g. objects which are in the scene). We
performed a preprocessing step to focus only on linguistic productions. We have
1 Centre National des Ressources Textuelles et Linguistiques (http://www.cnrtl.fr for
children’s production): see Traitement de Corpus Oraux en Français (TCOF) corpus
2 http://childes.psy.cmu.edu/
3 http://childes.psy.cmu.edu/manuals/CHAT.pdf
removed all special characters related to standards of transcription, as well as
all information of phonetic nature, which are not relevant for the analysis of
syntactic constructions and prevent the use of a tagger. We have also eliminated
from our data all adult utterances.</p>
        <p>The characteristics of each of our initial sub-corpora are presented in the
table of Figure 1. There are differences between them: the corpus for the age of
"6-7 years" is the smallest one. To balance the corpora of the different age groups,
we have sampled them according to the number of words: this feature is more
reliable than the number of sentences, because the length of the sentences is a
key factor which significantly varies from one age to another (see the following).
To have comparable sub-corpora, the number of words is thus more reliable than
the number of sentences.</p>
        <p>1-2 years
2-3 years
3-4 years
4-5 years
5-6 years
6-7 years
The smallest corpus in terms of words (the one of "6-7 years") is the reference
sample for the other age groups. So, we chose to take 20,000 words per corpus,
with a rate of 0.01% tolerance. To build our new corpora from the initial ones, we
sampled sentences randomly until the sum of all words in all sentences reaches
this size. After the sampling, we have six new corpora, whose properties are
given in the table of Figure 2.</p>
        <p>The corpora now have comparable size in terms of words. The number of
sentences in each corpus have of course decreased, but we note that the average
lengths of the sentences follow the same evolution than in the initial corpora. This
is crucial because, as long as the children grow up, they tend to produce longer
sentences. This is a well-known key feature of language acquisition [Bro73,MC81].
To go further in our exploration, we will now label the productions of the children
with morpho-syntactic labels.
1-2 years
2-3 years
3-4 years
4-5 years
5-6 years
6-7 years
corpus number of number of nb of distinct average length
sentences words words of the sentences
14284 20348 1086 1.42
9075 20504 1427 2.26
5043 21051 1575 4.17
4433 20949 1806 4.73
3047 20514 805 6.73
3147 20525 819 6.52</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>POS labeling</title>
      <sec id="sec-3-1">
        <title>Use of an existing tagger</title>
        <p>As we want to characterize the acquisition of syntactic constructions, we need
more information than simple transcriptions of words. Our experiments in this
article rely on a morpho-syntactic tagging of children’s productions: we must
thus assign to each word in the sub-corpora a label corresponding to its
grammatical category. Several tools are available to annotate plain text in French
with "Part of Speech" (POS) labels, such as TreeTagger [Sch94]. In our work,
we have used SEM4 [TDE+12], which was obtained by training a linear CRF
(Conditional Random Fields) model on the French Treebank [ACT03]. The set
of labels adopted in SEM, similar to the one of [CC08], includes 30 different
categories among which the main important ones for the following are: NC (for
common nouns), V (for verbs), DET (for determiners), P (for prepositions), I
(for interjections) and CLS (for subject clitic). SEM also integrates the external
lexical resource Lefff [CSL04] to help achieve a better labeling.</p>
        <p>SEM has been learned with labeled sentences extracted from the French
newspaper "Le Monde". Our texts of children productions have very different
properties, and we therefore expect many annotation errors. Indeed, the
corpus CHILDES is composed of oral transcription, whose conventions differ from
those of writing (especially concerning punctuations). Furthermore, children
utterances are often far from standard French. It has already been observed that,
even if SEM is supposed to reach 97% accuracy on texts similar to those on
which it has been learned, it reaches 95.6% accuracy on more casual written
texts from blogs, and only 81.6% on oral productions of adults.</p>
        <p>To assess the quality of SEM on our data, we have randomly selected 200
sentences from each of our six corpora, tagged them with SEM and manually
corrected the labeling errors, following the annotation conventions of the French
Treebank. The accuracy of SEM on these samples (see table of Figure 4) ranges
from 70% (2-3 years) to 87% (6-7 years). The detailed F-measures of the main
categories for each age group can also be seen in the table of Figure 3: the
label interjection (I), very rare in the French Treebank but very frequent in our</p>
        <sec id="sec-3-1-1">
          <title>4 http://www.lattice.cnrs.fr/sites/itellier/SEM.html</title>
          <p>corpora, are particularly not well recognized by SEM (the F-measures goes from
33.33 for the "1-2 years" age group to 0 for the the "6-7 years" one).
3.2</p>
        </sec>
      </sec>
      <sec id="sec-3-2">
        <title>Learning a New tagger</title>
        <p>As we want to perform statistical measures on the morpho-syntactic labels,
labeling errors must be reduced as much as possible. In [TDEW13], it has been
shown that to learn a good tagger by supervised machine learning, it is more
efficient to have a small annotated corpus similar to the target data than to have
a large too different training set. So, we decided to use the labelled sentences
which have been manually corrected for the evaluation of SEM as training data
to learn a new tagger adapted to our corpora.</p>
        <p>For this, we have used the same tools as those used to learn SEM, that is
CRFs (Conditional Random Fields), introduced by [LMP01] and implemented in
the software Wapiti [LCY10]. CRFs are graphical models that have proven their
effectiveness in the field of automatic annotation by supervised machine learning
[TTA09,TDE+12]. They allow to assign the best sequence of annotations y to
an observable sequence x. For us, the elements of x are words enriched with
endogenous attributes (presence of caps, digits, etc.) or exogenous ones (e.g.
associated properties in Lefff), while y is the corresponding sequence of
morphosyntactic labels.</p>
        <p>We trained our new tagger thanks to 200 ⇤ 6 = 1200 annotated and manually
corrected sentences (which is a very small number to learn a POS tagger), and
we tested it on 50 ⇤ 6 = 300 other independent sentences, equally sampled from
the 6 distinct sub-corpora. The table of Figure 3 gives the F-measures of the
main labels obtained by SEM and by the re-learned tagger for each age group,
while the accuracy of both taggers are provided in the table of Figure 4.
corpus CLS DET I NC P V
1-2 years 100/100 80/100 33.33/57.14 76.92/84.21 0/0 80/100
2-3 years 71.43/93.33 66.67/54.55 12.5/90.91 71.43/80 40/33.33 71.43/63.64
3-4 years 77.42/100 80/78.26 13.33/88.89 88.89/94.74 71.43/71.43 83.87/94.74
4-5 years 89.8/94.55 80.95/89.36 8.7/97.78 75.76/93.15 90.91/80 88.89/95.89
5-6 years 81.08/97.56 91.18/93.15 0/94.74 86.32/96.08 78.05/88.89 92.96/90.14
6-7 years 96.55/100 87.88/97.14 0/80 90/92.13 89.47/87.8 93.88/89.36</p>
        <p>We observe that the relearning leads to a significant improvement of the
accuracy of about 10% in average. SEM is better for only 4 cells out of 36 in the
table of Figure 3, probably thanks to its better vocabulary exposure: the French
Treebank on which SEM was learned was about ten times larger than our training
corpus. The improvement brought by relearning is larger for oral-specific labels
such as I. It is therefore very beneficial, despite a very small training corpus. This
corpus SEM re-trained tagger
1-2 years 82% 85%
2-3 years 70% 80%
3-4 years 73% 88%
4-5 years 75% 90%
5-6 years 80% 92%
6-7 years 87% 90%
average 77.83% 87.5%
can be explained by the fact that the vocabulary used in our texts is relatively
limited and redundant: few data are therefore sufficient to obtain a tagger which
is effective on our corpus, even if it is not uniformly better than SEM on every
label (it would obviously be much less effective on other types of data). In the
following, we systematically use the new version of the tagger.
3.3</p>
      </sec>
      <sec id="sec-3-3">
        <title>Analysis of POS labels</title>
        <p>Figure 5 shows the distribution of the main morpho-syntactic categories in the
different age groups. For example, we see that the curve of the label I
(interjection) is decreasing (except for the 4-5 years age group): it seems that children
use fewer and fewer interjections in their productions as long as grow up. In
contrast, the label P (preposition) is strictly increasing, which is consistent with
an acquisition of increasingly sophisticated syntactic constructions. Curves for
the labels CLS (subject clitic) and V (verb) follow very similar variations,
probably because they are often used together: they increase till the age of 4, then
decrease from 4 to 6, and finally stabilize at the age of 6. Observing labels DET
(determiner) and NC (common nouns), we notice that until the age of 4 years,
NC is the most common label, but not yet being systematically associated with a
DET. It is only at the age of 4 that both curves become parallel (most probably
when most NC is preceded by a DET). We finally note that from the age of 5
years, the proportions of different labels stabilize.</p>
        <p>The residual errors of the tagger (there is more than 10% remaining labeling
errors) lead us to be prudent with these observations. But it is clear that some of
the phenomena observed here would not have been possible without re-learning:
interjections, for example, were the words most poorly recognized by the original
SEM, because they are very rare in newspaper articles. However, their production
appears to be an important indicator of the child’s age group. Example sentences
like "ah maman" ("ah mom") or "heu voilà " ("uh there") were respectively
labeled as "ADJ NC" and "ADV V" with the original SEM tagger. After the
re-learning, the labels became "I NC " and "I V", which is at least more correct.</p>
        <p>Although we can already draw some interesting conclusions from these curves,
we cannot characterize the syntactic acquisition of children from single isolated
categories. We thus decided to use sequential data mining techniques on our data
to explore them further.
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Sequential Patterns Extraction</title>
      <p>4.1</p>
      <sec id="sec-4-1">
        <title>General Definitions</title>
        <p>Many studies have focused on the analysis of texts seen as sequential data.
For example, the notion of repeated segment is used in textometrics [Sal86] to
characterize a contiguous sequence of items appearing several times in a text.
Sequential data mining [AS95] generalizes such concept, with notions like
sequential patterns of itemsets. In our case, itemsets can be composed of words
and POS labels. A sequence of itemsets is an ordered list of itemsets. An order
relation can be defined on such sequences: a sequence S1 = hI1, I2, ..., Ini is
included into a sequence S2 = hI10, I20, ..., Im0i, which is noted S1 ✓ S2, if there exist
integers 1  j1  j2  ...  jn  m such that I1 ✓ Ij01 , I2 ✓ Ij02 , ..., In ✓ Ij0n (in
the classical sense of itemset inclusion). The table of Figure 6 provides examples
of sequences of itemsets found in our corpus labelled with the re-trained tagger.</p>
        <p>The support of a sequence S, denoted sup(S), is equal to the number of
sentences of the corpus containing S. For example, in the table of Figure 6,
sup(h(ADJ) (NC)i) = 2. The relative support of a sequence S is the proportion
of sequences containing S in the base of initial sequences. It is worth 12 for
the sequence in our example, because this sequence is present in 2 out of the
4 sequences of the database. Algorithms mining sequential patterns are based
on a minimum threshold for extracting frequent patterns. A frequent pattern is
thus a sequence for which the support is greater than or equal to this threshold.
Other concepts are also useful to limit the number of extracted patterns.</p>
        <p>sequence
h(le, DET) (petit, ADJ) (chat, NC)i</p>
        <p>("the little cat")
h(le, DET) (grand, ADJ) (arbre, NC)i</p>
        <p>("the big tree")
h(le, DET) (chat, NC)i</p>
        <p>("the cat")
h(tombé, VPP) (et, CC) (cassé, VPP)i</p>
        <p>("fallen and broken")
In [YHA03], was introduced the notion of closed patterns that allows to eliminate
redundancies without loss of information. A frequent pattern S is closed, if there
is no other frequent pattern S0 such S ✓ S0 and sup(S) = sup(S0). In our
example, if we fix minsup=2, the frequent pattern h(DET) (NC)i, extracted from
Figure 6, is not closed because it is included in the pattern h(le, DET) (NC)i
and they both have a support equals to 3. But the pattern h(DET) (small, ADJ)
(NC)i is closed. A length constraint can also be used. It defines the minimum
and maximum number of items contained in a pattern [BCCC12].
There are several available tools for extracting sequential patterns such as GSP
[SA96] and SPADE [Zak01]. CloSpan [YHA03] and BIDE [WH04] are able to
extract frequent closed sequential patterns. SDMC5, used here, is a tool based
on the method proposed in [PHMA+01]. It extracts several types of
sequential patterns, where items can correspond to simple words, lemma and/or their
morpho-syntactic category (the tagger is parameterized, which allowed us to use
our tagger). In this work, we wanted to characterize grammatical constructions,
and we thus focused only on sequences of POS labels. The algorithm of SDMC
implements the pattern growth technic; it is briefly discussed in [BCCC12]. It
allows to extract sequential patterns under several constraints.
[DL99] introduced the concept of emerging pattern. A frequent sequential
pattern is called emerging if its relative support in a set of data set is significantly
higher than in another set of data. Formally, a sequential pattern P of a set of
data D1 is emerging relatively to another set of data D2 if GrowthRate(P ) ⇢ ,</p>
        <sec id="sec-4-1-1">
          <title>5 https://sdmc.greyc.fr, login and password to be asked</title>
          <p>with ⇢ &gt; 1. The growth rate function is defined by:
(
1
ssuuppppDD12 ((PP )) otherwise</p>
          <p>if supportD2 (P ) = 0
where suppD1 (P ) (respectively suppD2 (P )) is the relative support of the
pattern P in D1 (respectively D2). Any pattern P whose support is zero in a set is
neglected.
5
5.1</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Experiments</title>
      <sec id="sec-5-1">
        <title>Parameters</title>
        <p>The corpora used in our experiments are those described in section 2.3. We are
interested here in sequences of itemsets restricted to POS labels without any gap
(thus corresponding to n-grams, or repeated segments of labels), under some
constraints (such as having a support strictly greater than a given threshold
or pruning non-closed patterns), to limit their number. To set the lengths of
sequences, we took account of the average size of sentences. So, we have decided
to select patterns of length between 1 and 10. The minsup threshold is set to 2
and ⇢ = 1.001. To find the emerging patterns of a certain age group, we do as
[QCCL12] did for literary genres: each age group (D1) is compared to the set of
every other age groups (D2).
5.2</p>
      </sec>
      <sec id="sec-5-2">
        <title>Quantitative Results</title>
        <p>Figure 7 shows the number of frequent and emerging patterns obtained under
our constraints for each age group. For example, for the age of 4-5 years, there are
1933 frequent patterns but only 842 emerging ones (42.6%). A serious reduction
has occurred, which will make the observation easier. The number of emerging
patterns is relatively stable across ages from 3-4 years and is important in each
age group. As these emerging patterns are defined relatively to every other age
group, this suggests the existence for each age group of characteristic phases of
grammatical acquisitions.</p>
        <p>Figure 8 shows the average size of the frequent and emerging patterns for each
age group. The curves are very similar, suggesting that emerging patterns have
properties which are similar to frequent patterns. In both cases, the length is
increasing and reaches its maximum at the age of 5-6 years old. This parameter
seems very correlated to the one of sentence length (see Figure 1): not only
utterances become longer as the children grow up, but also the grammatical
patterns they instantiate.</p>
        <p>Figures 9 and 10 show the distributions of the main morpho-syntactic
labels in frequent and emerging patterns respectively for each age group. These
results are consistent with those obtained on the entire corpus (cf. Figure 5).
The proportion of interjections still regularly decreases, while the one of
prepositions increases, which is consistent with syntactic constructions of increasing
complexity. We also note that the CLS and V curves are parallel and that, before
the age of 4 years, the NC label is very frequent without being associated with
the label DET. These curves show that the proportions of labels in the frequent
and emerging patterns of each age group are similar to those of the corpus. In
this sense, these patterns seem to be representative of the different age groups.
5.3</p>
      </sec>
      <sec id="sec-5-3">
        <title>Qualitative Results</title>
        <p>The table of Figure 11 provides examples of emerging patterns of each age group,
and some corresponding sentences. These examples show that a single pattern
can correspond to various sentences, and that they have increasing complexity.
We note that even before the age of 2, children can produce sentences with a
CN preceded by a DET. We also note, for example, that the patterns "(DET)
(NC)" and "(DET) (NC) (CLS) (V) (VINF)" respectively extracted of the age
"1-2 years" and "4-5 years are included in "(P) (DET) (NC) "and" (DET) (NC)
(CLS) (V) (VINF) (DET) (NC)" respectively, of the following age group. This
is consistent with a gradual acquisition of complex syntactic constructions.
6</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>Conclusion</title>
      <p>In this article, we have applied techniques from Natural Language Processing,
machine learning and sequential Data Mining to study the evolution of children’s
utterances of different ages. The phase of morpho-syntactic labeling required the
learning of a specific tagger, adapted to our data. It was a necessity, considering
that current available taggers do not properly handle oral transcriptions, and
even less those of children: interjections, for example, which are very specific of
1-2 years (P) (NC) - à maman ("to mom")</p>
      <p>- sac à dos ("backpack")
(DET) (NC) - le ballon ("the ball")</p>
      <p>- des abeilles ("some bees")
2-3 years (P) (DET) (NC) - de la tarte
("some pie")
- poissons dans l’eau
("fishes in the water")
(ADVWH) (CLS) (V) - où il est ?
("where it is ?")
- comment il marche ?
("how it works ?")
3-4 years (ADV) (CLS) (V) - non il est par terre
(" no it is on the floor")
- ici il pourra passer
("here it will be able to pass")
4-5 years (ADV) (CLS) (CLO) (V) - alors tu m’as vue ?
("so you saw me ?")
- oui j’en fais souvent
("yes I do some often")
(DET) (NC) (CLS) (V) (VINF) - les lapins ils vont rentrer
("the rabbits they will come in")
- le chat il veut attraper l’oiseau
("the cat it wants to catch the bird")
5-6 years (DET) (NC) (CLS) (V) (VINF) - l’enfant il va chercher le chat
(DET) (NC) ("the child he goes and fetch the cat")
- le monsieur il va chercher les cerises
("the man he goes and catch the cherries")
(CC) (DET) (NC) (CLS) (V) - la maman et le papa ils regardaient le garçon
(DET) (NC) ("the mommy and the daddy they watched the boy")
- et le chat il mange les cerises
("and the cat it eats the cherries")
6-7 years (P) (VINF) (DET) (NC) - les oiseaux les aident à ramasser les cerises
("the birds help them to pick up the cherries")
- il y a un chat qui essaie de chasser des oiseaux
("there is a cat trying to catch birds")
(DET) (NC) (PROPEL) (V) - il y a un chat qui suit la fille avec son panier
(DET) (NC) (P) (DET) (NC) ("there is a cat which follows the girl with a basket")
- et aussi un monsieur qui ramasse des cerises
dans un arbre
("and a man picking up cherries in a tree")
oral productions, would have been poorly recognized without re-learning. This
is crucial, as the curves of label proportions show that their frequency appears
as an important way to characterize a child’s age group.</p>
      <p>We currently restricted our research to n-grams of POS labels but further
work could use richer itemsets of the type (word, lemma, POS tag). Our
exploration seems to confirm that the extracted emerging patterns are representative
of the age group in which they arise. The provided examples further confirm
the intuition that (at least some of) the patterns of increasing age groups are
included into each other, going in the direction of a grammatical sophistication.</p>
      <p>As far as we know, these kinds of analyses had never been performed before.
Of course, a detailed analysis of the patterns obtained remains to be done by
specialists of language acquisition. They could for example allow to characterize
typical evolutions of grammatical knowledge, or help to diagnose pathological
evolution of a child’s productions. We hope that they will provide valuable tools
for the study of language acquisition phases.
7</p>
    </sec>
    <sec id="sec-7">
      <title>Aknowlegment</title>
      <p>This work is supported by a public grant overseen by the French National
Research Agency (ANR) as part of the "Investissements d’Avenir" program
(reference: ANR-10-LABX-0083).</p>
      <p>The authors acknowledge Christophe Parisse, for his advice.</p>
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