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Communication Sequences and Survival Analysis

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Toward Robotic Socially Believable Behaving Systems - Volume II

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 106))

Abstract

Two new methods of analyzing dialogue interactions are outlined. One method depends on abstract representations of dialogue events as symbols in a formal language. This method invites analysis of the expressivity requirements of dialogue grammar, as well as distribution analysis of dialogue event symbol sequences. The method is presented in relation to a temporal construction from regular languages, one which supports increasingly fine granularity of temporal analysis. The other method proposed is also temporally oriented. It also depends on dialogue events and dialogue states, and proposes to analyze causal relations among dialogue events through survival analysis. These methods are suggested as additions to the extant repertoire of approaches to understanding the structure and temporal flow of natural dialogue. Additional methods of analysis of natural dialogue may contribute to deeper understanding of the phenomena. With deeper undertanding of natural dialogue one may hope to more fully inform the construction of believable artificial systems that are intended to engage in dialogue with a manner close to human interaction in dialogue.

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Notes

  1. 1.

    In this structure, the first element, S, is a special non-terminal symbol, the start symbol; the next element the remaining non-terminal symbols; the third element is a set of terminal symbols; the final element is a set of productions, here pointers to the productions. Each set in this structure is finite. The language generated is infinite.

  2. 2.

    The representation \(s^i\) is adopted as a positive representation of silence, thinking of this as distinct from the usual representation of the empty string (\(\varepsilon \)). Shortly, representation of distinct sorts of silence will be introduced.

  3. 3.

    On the first interpretation, \(v^k\) may represent an utterance such as, “the cat is on the mat.” On the second interpretation, \(v^k\) may represent the proposition, “‘the cat is on the mat’ is being uttered”. In the first case, \(v^k\) stands for the vocalization as a vocalization, and in the second case it stands for the proposition that the vocalization is under way.

  4. 4.

    During \(\varDelta ^\dagger = \delta (\text {``Sam has''})\), \(\varDelta ^\dagger \) a proper sub-interval of \(\varDelta ^\ddagger = \delta (\text {``Sam has water''})\), the proposition that a vocalization of “Sam has baked a loaf of bread” is happening is not true.

  5. 5.

    The symbol a is meant to be suggestive of the English onomatopoeic expression, “achoo”.

  6. 6.

    I have not proven that the addition of clocks as proposed here does not increase the expressivity of the framework beyond the expressivity of regular languages. The intuition behind the argument that regular grammars with clocks of this sort remain regular is that the “grouping” of symbols within sets, in an initial grammar, only ever includes a single terminal symbol, never a non-terminal symbol; thus, the effect of bracket matching on either side of a recursive use of a non-terminal symbol (such as is the prototype of a context-free grammar rule) does not occur. The information encoded by the clock for a language may be captured in a constructed regular language without a clock by adding a terminal symbol for the starting time, and another symbol for subsequent “ticks” of the clock. Also, recall that regular languages are closed under both intersection and union [12].

  7. 7.

    At greater levels of expressivity, context-free and higher, the inclusion problem is not decidable [12].

  8. 8.

    In the present work, an overlap is equivalent to a component like \(\{v^1,v^2\}\).

  9. 9.

    In order to subtract away a constant c from T using (5.36), it is sufficient to specify d as \(\frac{T-c}{T}\); to test whether \(T-\lnot L\) is less than some constant c, it suffices to specify d as \(\frac{c}{T}\).

  10. 10.

    That is, this is true if laughter is close enough to the change of topic to be reasonably hypothesized as a discourse marker.

  11. 11.

    Non-laughter, which terminates with the onset of laughter, is constructed as a dialogue event, so that one may examine the survival rate of non-laughter.

  12. 12.

    Interestingly, given that dialogue participants may be imputed to all have a sense of when discussion of a topic is coming to an end, if this sensation does give release to laughter, or other signals, that correlate with topic end, then there is a case to be made for temporally inverted causation: the topic end may cause the laughter which precedes it.

  13. 13.

    Laughter, it turns out, is not a precise signal of topic ending, but if laughter is present, it serves as a very good signal that the topic of discussion has not just started.

  14. 14.

    Using the one-tailed asymptotic log-rank test \(p < 0.005\). See surv_test within the coin package within R (http://cran.r-project.org/web/packages/coin/index.html—last verified, July 2015) created by Torsten Hothorn, Kurt Hornik, Mark A. van de Wiel and Achim Zeileis.

  15. 15.

    It is important to remember that the topic durations in the two representative plots relate to the same topics, but under distinct classifications.

  16. 16.

    It is also necessary to apply this sort of analysis to additional dialogue corpora in order to understand the robustness of the effects found for the TableTalk corpus.

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Acknowledgments

I am grateful to Francesca Bonin, Nick Campbell, Anna Esposito and Emer Gilmartin. They have no responsibility for any wrong-headedness that appears here, though. This research is enhanced by supported from Science Foundation Ireland through the CNGL Programme (Grant 12/CE/I2267) in the ADAPT Centre (www.adaptcentre.ie) at Trinity College Dublin. The ADAPT Centre for Digital Content Technology is funded under the SFI Research Centres Programme (Grant 13/RC/2106) and is co-funded under the European Regional Development Fund.

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Vogel, C. (2016). Communication Sequences and Survival Analysis. In: Esposito, A., Jain, L. (eds) Toward Robotic Socially Believable Behaving Systems - Volume II . Intelligent Systems Reference Library, vol 106. Springer, Cham. https://doi.org/10.1007/978-3-319-31053-4_5

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