An analysis of variance type method to describe and compare steady states in clinical data

Identifying and comparing different steady states is an important task for clinical decision making. Data from unequal sources, comprising diverse patient status information, have to be interpreted. In order to compare results an expressive representation is the key. In this contribution we suggest a criterion to calculate a context-sensitive value based on variance analysis and discuss its advantages and limitations referring to a clinical data example obtained during anesthesia. Different drug plasma target levels of the anesthetic propofol were preset to reach and maintain clinically desirable steady state conditions with target controlled infusion (TCI). At the same time systolic blood pressure was monitored, depth of anesthesia was recorded using the bispectral index (BIS) and propofol plasma concentrations were determined in venous blood samples. The presented analysis of variance (ANOVA) is used to quantify how accurately steady states can be monitored and compared using the three methods of measurement.

Low rank subspace clustering (LRSC)

We consider the problem of fitting a union of subspaces to a collection of data points drawn from one or more subspaces and corrupted by noise and/or gross errors. We pose this problem as a non-convex optimization problem, where the goal is to decompose the corrupted data matrix as the sum of a clean and self-expressive dictionary plus a matrix of noise and/or gross errors. By self-expressive we mean a dictionary whose atoms can be expressed as linear combinations of themselves with low-rank coefficients. In the case of noisy data, our key contribution is to show that this non-convex matrix decomposition problem can be solved in closed form from the SVD of the noisy data matrix. The solution involves a novel polynomial thresholding operator on the singular values of the data matrix, which requires minimal shrinkage. For one subspace, a particular case of our framework leads to classical PCA, which requires no shrinkage. For multiple subspaces, the low-rank coefficients obtained by our framework can be used to construct a data affinity matrix from which the clustering of the data according to the subspaces can be obtained by spectral clustering. In the case of data corrupted by gross errors, we solve the problem using an alternating minimization approach, which combines our polynomial thresholding operator with the more traditional shrinkage-thresholding operator. Experiments on motion segmentation and face clustering show that our framework performs on par with state-of-the-art techniques at a reduced computational cost.

Experimental induction of psychotherapeutically relevant emotional states

Background: Emotion research in neuroscience targets brain structures and processes involved in discrete emotion categories (e.g. anger, fear, sadness) or dimensions (e.g. valence, arousal, approach-avoidance), and usually relies on carefully controlled experimental paradigms with standardized and often simple emotion-eliciting stimuli like e.g. unpleasant pictures. Emotion research in clinical psychology and psychotherapy is often interested in very subtle differences between emotional states, e.g. differences within emotion categories (e.g. assertive, self-protecting vs. rejecting, protesting anger or specific grief vs. global sadness), and/or the biographical, social, situational, or motivational contexts of the emotional experience, which are desired to be minimized in experimental neuroscientific research. Objective: In order to facilitate the experimental and neurophysiological investigation of psychotherapeutically relevant emotional experiences, the present study aims at developing a priming procedure to induce specific, therapeutically and biographically relevant emotional states under controlled experimental conditions. Methodology: N = 50 participants who reported negative feelings towards another close person were randomly assigned to 2 different conditions. They fulfilled 2 different sentence completion tasks that were supposed to prime either ‘therapeutically productive’ or ‘therapeutically unproductive’ emotional states and completed an expressive writing task and several self-report measures of specific emotion-related constructs. The sentence completion task consisted in max. 22 sentence stems drawn from psychotherapy patients’ statements that have been shown to be typical for productive or unproductive therapy sessions. The subjects of the present study completed these sentence stems with regard to their own negative feelings towards the close person. Results: There were a substantial inter-individual variability concerning the number of completed sentences, and significant correlations between number of completed sentences and problem activation in both conditions. No differences were observed in general mood or problem activation between both groups after priming. Descriptively, there were differences between groups concerning emotion regulation aspects. Significant differences between groups in resolution of negative feelings towards the other person were found. Discussion: The results point in the expected direction, however the small sample sizes (after exclusion of several subjects) and low power hinder the detection of convincing significant effects. More data is needed in order to evaluate the efficacy of this emotional priming procedure.

Emotionsfokussierte Auseinandersetzung mit unangenehmen Gefühlen: Lässt sich eine hilfreiche emotionale Verarbeitung experimentell hervorrufen?

Hintergrund: Die Veränderung emotionaler Prozesse steht im Fokus fast jeder Psychotherapie. Während oft korrelative Zusammenhänge zwischen emotionalen Prozessen und Therapieergebnis untersucht werden, gibt es nur wenige Studien, die solche Veränderungsprozesse experimentell manipulieren. In der vorliegenden Studie sollten daher therapeutisch relevante emotionale Verarbeitungszustände unter kontrollierten Bedingungen hervorgerufen und deren Effekte auf die Verarbeitung unangenehmer Emotionen und Emotionsregulation untersucht werden. Hintergrund ist ein Modell emotionaler Verarbeitung aus dem Bereich der emotionsfokussierten Therapie, das therapeutisch hilfreiche und weniger hilfreiche Verarbeitungszustände spezifiziert. Methode: Personen, die von anhaltenden negativen Gefühlen gegenüber einer nahestehenden Person („unfinished business“) berichteten, wurden zufällig zwei Bedingungen zugeteilt und bearbeiteten jeweils eine Satzvervollständigungsaufgabe, die therapeutisch hilfreiche oder weniger hilfreiche emotionale Verarbeitungszustände primen sollte. Die Satzvervollständigungsaufgabe umfasste jeweils max. 22 Satzanfänge, welche aus Gefühlsäußerungen von Psychotherapiepatienten extrahiert worden waren und als typisch für entweder produktives oder unproduktives Stundenoutcome galten. Die Teilnehmenden vervollständigten diese Satzanfänge hinsichtlich ihrer eigenen Gefühle gegenüber der nahestehenden Person. Danach folgten eine expressive Schreibaufgabe und Fragebögen u.a. zur Verarbeitung des „unfinished business“ und kognitiven Emotionsregulationsstrategien. Ergebnisse: In einer ersten online erhobenen Studie (N=50) zeigten sich eine erhebliche interindividuelle Variablität hinsichtlich der Anzahl ausgefüllter Sätze und signifikante Korrelationen zwischen der Anzahl vervollständigter Sätze und emotionaler Beteiligung. Analysen mit den Teilnehmenden, die mehr als die Hälfte der Satzanfänge vervollständigten (N=29), zeigten deskriptiv Gruppenunterschiede in einigen Emotionsregulationsstrategien. Außerdem fand eine stärkere Reduktion des „unfinished business“ in der „hilfreichen“ Bedingung (Mdn=41.0) im Vergleich zur „nicht hilfreichen“ Bedingung (Mdn=46.5) statt (U=51.0; p=0.02). Diskussion: Die Ergebnisse der online-Studie weisen in die erwartete Richtung, sind jedoch angesichts der kleinen Stichprobengröße unter Vorbehalt zu interpretieren. Es werden daher zusätzlich die Ergebnisse einer gegenwärtig laufenden Replikationsstudie präsentiert und diskutiert.

A feasible theory of truth over combinatory algebra

We define an applicative theory of truth TPT which proves totality exactly for the polynomial time computable functions. TPT has natural and simple axioms since nearly all its truth axioms are standard for truth theories over an applicative framework. The only exception is the axiom dealing with the word predicate. The truth predicate can only reflect elementhood in the words for terms that have smaller length than a given word. This makes it possible to achieve the very low proof-theoretic strength. Truth induction can be allowed without any constraints. For these reasons the system TPT has the high expressive power one expects from truth theories. It allows embeddings of feasible systems of explicit mathematics and bounded arithmetic. The proof that the theory TPT is feasible is not easy. It is not possible to apply a standard realisation approach. For this reason we develop a new realisation approach whose realisation functions work on directed acyclic graphs. In this way, we can express and manipulate realisation information more efficiently.

Censors for Boolean Description Logic

Protecting different kinds of information has become an important area of research. One aspect is to provide effective means to avoid that secrets can be deduced from the answers of legitimate queries. In the context of atomic propositional databases several methods have been developed to achieve this goal. However, in those databases it is not possible to formalize structural information. Also they are quite restrictive with respect to the specification of secrets. In this paper we extend those methods to match the much greater expressive power of Boolean description logics. In addition to the formal framework, we provide a discussion of various kinds of censors and establish different levels of security they can provide.

Intentionality in Reference and Action

This essay asks whether there is a relation between action-serving and meaning-serving intentions. The idea that the intentions involved in meaning and action are nominally designated alike as intentionalities does not guarantee any special logical or conceptual connections between the intentionality of referential thoughts and thought-expressive speech acts with the intentionality of doing. The latter category is typified by overt physical actions in order to communicate by engaging in speech acts, but also includes at the origin of all artistic and symbolic expression such cerebral and linguistic doings as thinking propositional thoughts. There are exactly four possibilities by which meaning and action intentionalities might be related to be systematically investigated. Meaning-serving and action-serving intentionalities, topologically speaking, might exclude one another, partially overlap with one another, or subsume one in the other or the other in the one. The theoretical separation of the two ostensible categories of intendings is criticized, as is their partial overlap, in light of the proposal that thinking and artistic and symbolic expression are activities that favor the inclusion of paradigm meaning-serving intentions as among a larger domain of action-serving intentions. The only remaining alternative is then developed, of including action-serving intentions reductively in meaning-serving intentions, and is defended as offering in an unexpected way the most cogent universal reductive ontology in which the intentionality of doing generally relates to the specific intentionality of referring in thought to the objects of predications, and of its artistic and symbolic expression.

Facilitating Emotional Processing: An Experimental Induction of Psychotherapeutically Relevant Affective States

Psychotherapy research has shown that cognitive-affective meaning making is related to beneficial therapy outcomes. This study explores the underlying micro-processes by inducing specific cognitive-affective states and studying their immediate effects on emotional activation, the resolution of interpersonal grievances, and factors related to therapeutic progress, e.g., mastery experiences, clarification of meaning. Participants suffering from interpersonal grievances were randomly assigned to two conditions. A sentence completion task was employed to induce either the expression of emotional distress or cognitive-affective meaning making. Expressive writing was used to deepen processing. Findings of those participants adhering to the induction procedure (n = 85) showed no differences between conditions at baseline. During writing, participants in both conditions were equally emotionally activated. Directly after the writing task, participants in the meaning making condition (n = 50) reported less unresolved interpersonal grievances, and more mastery experiences, but, e.g., not more clarification, compared to those in the emotional expression condition (n = 35). Results suggest that engagement in specific states that promote meaning making of emotional experience facilitates emotional processing and is related to therapeutic benefit.