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Douglas K. Faust

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2 published item(s)

preprint2026arXiv

The Association of Transformer-based Sentiment Analysis with Symptom Distress and Deterioration in Routine Psychotherapy Care

Sentiment analysis has been of long-standing interest in psychotherapy research. Recently, the Transformer deep learning architecture has produced text-based sentiment analysis models that are highly accurate and context-aware. These models have been explored as proxies for emotion measurement instruments in psychotherapy, but not investigated as stand-alone psychometric tools. Using proposed utterance-level and session-level sentiment features derived from a fine-grained sentiment model on a large corpus of psychotherapy sessions (N = 751), we investigate the distribution of session aggregated sentiment scores. Further, we characterize the relationship of these features to individual components and the overall score of the OQ-45 instrument and find that this sentiment feature is most strongly correlated to components related to emotional valence in directionally intuitive ways. Finally, we report that there are statistically significant differences between the sentiment distributions for patients flagged as at risk of deterioration or dropping out of care via either the OQ Rational or Empirical outcome models. These correlations to a fully-validated psychometric instrument demonstrate that these proposed sentiment features are, at least, adjunctive measures of client distress and deterioration.

preprint2010arXiv

Computational Theory of a splitting BEC using a Generalized Wannier basis I: Theory and Statics

We investigate the behavior of a Bose-Einstein Condensate (BEC) under the influence of a central barrier as the particle number trends towards the thermodynamic limit. In order to perform these studies, we present a novel method which is tractable in the large-$N$ limit. This method employs what may be considered to be a generalized Wannier basis, which successfully incorporates features of previous theoretical and computational assays to the splitting problem, including mean field effects, and has access to the dimensionality, trap parameters, and particle numbers relevant to recent experiments. At any barrier height we are able to discern between a two-mode state and a state which is described sufficiently by mean field theory and, further, give a criterion and technique for matching the two-mode theory to the zero-barrier state. We compare the basis used in this model to the de-localized basis functions underlying alternate models used in recent theoretical work on the double-well splitting problem and show that only the generalized Wannier basis displays the level crossing and emergence of two complex order parameters with overall $U(1) \oplus U(1)$ symmetry as expected from a large-$N$ analogue of the Superfluid to Mott insulator transition. Using this model, we identify a universal structure, independent of $N$, in this phase transition. We also present an analytic and model-independent description of this universal structure and discuss its consequences for realizing true two-mode physics with a BEC which trends towards the thermodynamic limit.