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A F Badalamenti

Publications and source records attributed to A F Badalamenti.

8 recordsLinked to original sources

Speech parts as Poisson processes.

This paper presents evidence that six of the seven parts of speech occur in written text as Poisson processes, simple or recurring. The six major parts are nouns, verbs, adjectives, adverbs, prepositions, and conjunctions, with the interjection occurring too infrequently to support a model. The data consist of more than the first 5000 words of works by four major authors coded to label the parts of speech, as well as periods (sentence terminators). Sentence length is measured via the period and found to be normally distributed with no stochastic model identified for its occurrence. The models for all six speech parts but the noun significantly distinguish some pairs of authors and likewise for the joint use of all words types. Any one author is significantly distinguished from any other by at least one word type and sentence length very significantly distinguishes each from all others. The variety of word type use, measured by Shannon entropy, builds to about 90% of its maximum possible value. The rate constants for nouns are close to the fractions of maximum entropy achieved. This finding together with the stochastic models and the relations among them suggest that the noun may be a primitive organizer of written text.

Humans↗

Two mathematically defined expressive language structures in humans and chimpanzees.

Two expressive language structures have been identified mathematically in humans and chimpanzees. The first was found by measuring the waiting times between the invocation of new words or symbols, which consistently yielded individually characteristic rate constants and descending exponential curves that reflect a stochastically lawful Poisson process. The second was discovered by calculating the cumulative informational complexity (entropy) of word usage, which in all cases was a deterministically lawful logarithmic function of the number of words used to a given point in a communicative sequence. Individual and species differences in how this law is obeyed also characterized the sample. The results from the apes resembled those from the works of human poets like Shakespeare. The findings speak for deep, natural, unlearned expressive language structures in apes that are comparable to those seen in humans.

Animals↗

Langsian psychology and physics.

This paper relates the primitives of Robert J. Langs' psychology to those of physics. The off-boundary properties of all known natural processes are decided by their boundary behavior. Langs' formulations add the process of psychotherapy and general interpersonal exchange, that is two or more party dialogues, to this. His theory distinguishes the boundary, as does physics, into a frame and two-sided action site, referred to as a gate here. His ideas develop by moving from data on the boundary as a gate to the nature of the frame. His line of approach contrasts with Freud's direction toward the process interior and to Jung's across it. Placing his boundary ideas into where he enters psychology repeats a line of thought in the history of physics on the relation of a system to its environment. This paper notes that much of Freud's theory is grounded in the first law of thermodynamics and Jung's the second. Langs' theory subsumes both laws with a holistic boundary model.

Freudian Theory↗

Stochastic progression of new states in psychotherapy.

This paper presents a study of the stochastic behaviour of the entry of a 5-dimensional, 2400 state, system into new states. Each state consists of five measurements on variables that are sensitive measures of the degree of activated unconscious communication. The data come from six psychotherapy consultation sessions. The study sought to investigate the manner in which patient and therapist progress into new configurations (new states) of the five variables, and the way tension accumulates to the point of overcoming the inertia in the patient/therapist system. We show that the time series that consists of the time intervals between successive new states is a generalized Poisson process. That is, the process is inherently governed by a Poisson parameter that is a continuous piecewise linear function of time. It increases rapidly in the opening moments of an interview and decreases slowly thereafter. This non-linear, non-stationary Markov model fits the data well according to the Kolmogorov-Smirnoff criterion. We discuss the model's implications for the nature of psychotherapy and its participants.

Communication↗

The thermodynamics of psychotherapeutic communication.

Given five quantified measures of emotional communication within a psychotherapy session and definitions of work, force and temperature drawn from classical physics, this paper presents calculations of patient and therapist entropy using both the traditional, caloric definition and Shannon's definition, grounded in the work of Boltzmann. Our results depend on the assumption that the patient/therapist system is closed and non-dissipative. We present models for reversible heat absorption and frictional heat dissipation--within the system--which have meaning in emotional communication and psychotherapy. Both calculations of entropy produced a lawful dependence on ln(l+t), where t is time into the session in seconds. The two calculations are essentially the same, verifying in the behavioral domain a law of physics held to be true of material nature. We also verify empirically that the limiting form of the caloric entropy for a purely silent therapist replicates the Shannon entropy for an individual in a monologue. The force field that moves the representations of patient and therapist in 5-dimensional space defines an irreversible process. Thus there are moments of disequilibrium change with respect to the measured variables of emotional communication and at least one moment of disequilibrium between every return to a prior state. This moment may be creative or traumatic. The force field is non-conservative, implying the existence of modalities of heat absorption for patient and therapist which may relate to individual characteristics and reflect human psychological variety. The force field constrains motion to an ellipsoidal shell whose geometry explains the logarithmic growth of Shannon entropy and the finding that the system's absolute temperature grows linearly with respect to time. The finding that the models and methods of physics reveal a degree of lawfulness in the mental/communicative domain as compared to the material speaks strongly for the isomorphic qualities of divergent levels of nature.

Communication↗

An empirical investigation of human dyadic systems in the time and frequency domains.

This paper presents time and frequency domain analyses of psychotherapy data drawn from a unique dyadic system--the patient/therapist (P/T) system. The data are constituted by a time series defined by which member of the P/T system held the speaker role at each second of ten recorded psychotherapy consultations. The series reflects a specific property of communication within the dyad. Each series significantly followed a first order autoregressive model. That is, each was highly sensitive to the prior state of the system, or equivalently, the system showed feedforward of its prior state. These models became more significant after intervention analysis further clarified the underlying autoregressive structure. The histograms of the frequency of the length of each utterance indicated an underlying Poisson model for the emergence of speech. The parameters of the Poisson and autoregressive models were used to determine blindly which of four pairs of interviews involved the same therapist with two different patients. The method correctly identified three of the therapist four pairs but failed to identify different interviews with the same patient, a significantly negative result. These results suggest that certain time domain measures are therapist-dominated, so that the therapist drives change in these areas within the P/T system more strongly than the patient. In the frequency domain, the coherency between each of the 45 pairs of speaker series was used in an attempt to identify which time series corresponded systematically to the same therapists or patients. This proved futile because no two pairs of series--no P/T system--showed significant non-zero coherency. This result suggests that the harmonics of the switching of the speaker role are not determined by the therapist or patient alone but by the P/T system as an entity. We conclude that human dyadic systems may show predominant influence of one member or jointly determined patterns that are highly distinctive.

Female↗

Stochastic analysis of the duration of the speaker role in psychotherapy.

An analysis has been undertaken of the stochastic behavior of the time series which defines the duration of utterances exchanged by patients and therapists in six recorded sessions of psychotherapy. Each series followed a Box-Jenkins time series model of order (1, 0, 0): that is, each behaved as a first-order autoregressive process, sensitive to the prior state of the system. The confidences associated with the parameters of the autoregressive models were very high. In addition, the histograms of length of each utterance indicated an underlying Poisson model for the emergence of speech. The parameters of the Poisson and autoregressive models varied with each patient/therapist pair. Signatures for the process dynamics of the speaker-role variable were obtained. The two analyses suggest fundamental structures within the psychotherapeutic dialogue. The Box-Jenkins results provide a global summary of the inner structure of the series and its progression, while the Poisson results describe its instantaneous behavior. This work is offered as a part of new efforts to apply scientific and mathematical methods to the psychotherapeutic domain.

Adult↗

Genetic determination of mesencephalic tyrosine hydroxylase activity in the mouse.

The hereditary factors that affect mesencephalic tyrosine hydroxylase (TH) activity were investigated in highly inbred mouse strains (CXBI/ByJ, C57BL/6ByJ, and BALB/cJ). The progenitor strains and their F1 hybrids, were compared for mesencephalic TH activity with each other and with replicated F2 generations. Quantitative and non-parametric genetic analysis of the data raise the possibility that there is a major gene with robust additive effect that is primarily responsible for the difference between the progenitor strains with intermediate and high mesencephalic TH activity. Strain differences in mesencephalic TH activity have been linked to differences in number of dopamine (DA) neurons in that area. If genetic variation of mesencephalic TH activity is entirely attributable to variation in number of mesencephalic dopamine (DA) neurons, identification of the genetic sources of variation of mesencephalic TH activity may take us a step closer to animal models and preparations that are needed in the study of the physiological and constitutional mechanisms of human disorders in which DA neurotransmission is involved.

Animals↗