Consciousness, Literature and the Arts

Archive

Volume 1 Number 1, April 2000

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Creativity, Structure and Randomness

 by  

 

David Petersen

 

The study of creative improvisation necessarily involves a variety of disciplines and a range of analytic levels.  A paradigm known as dynamic systems theory  (DST) is currently in vogue as a means of describing motor learning and motor control.  It is suggested that elements of this approach may be relevant to the task of organizing the wealth of research related to improvisation.  Particularly useful is the concept of arranging processes in terms of their position on a spectrum of structure, ranging from determinism to anarchy.  A further assertion is that most ‘interesting’ behaviour lies at an intermediate position, the so-called edge-of-chaos.  Ideas such as these are in harmony with much of the creativity studies literature;  the image of a chaotic edge serves as a reminder that both deterministic and random elements are essential to the process of innovation.

 

Interdisciplinary studies are dangerous opportunities.  The danger resides in the ongoing potential for miscommunication.  Or worse, conceptual mismatch hidden beneath a layer of linguistic similarity.  The pitfalls of homography are familiar to language learners;  words like sensible are easily confused in translating between English and French.  They are referred to in the ESL jargon as ‘false friends’.

 

The opportunity resides in the unifying power of analogy.  Chaos was initially considered an obscure property of the mathematics of topology.  However, its utility as an organizing framework was slowly recognized during the 1960’s and 70’s.  Formal aspects of the definition (e.g. sensitive dependence on initial conditions) were adapted to the description of dynamical systems ranging from ecology to the weather.  Chaos was to become a key player in a conceptual revolution, involving the coupling of determinism with chance (Stewart, 1989).

 

A similar mix of opportunity and danger is currently arising in the field of motor learning and motor control.  Dynamic systems theory (DST) is a new approach to the description of self-organization in nature.  DST-related papers are appearing in a variety of contexts - everything from kinematics  to computer simulations of the origin of life.  Central to these projects is an attempt to understand the simultaneous interplay of structure and randomness in organic action.   Biological (and perhaps creative) processes typically occupy a position intermediate between the extremes of  determinism and anarchy.  Heart rate, for example, reflects an ongoing negotiation between physiological set-points and environment stimuli.  Somehow, the rhythm remains in an intermediate state of dynamic tension - neither overly fixed nor overly flexible. The tendency towards real-time balance has been given a variety of labels including anti chaos, edge-of-chaos, and self-organized criticality (Bak, 1997). 

 

Dynamics of this type are not unlike those encountered in the study of expressive movement training. Physical improvisation is a disciplined reinterpretation of external contingencies.  The texture of performance is based on an interplay of forces, operating over a range of time-scales.  Serendipity is sifted and filtered within the continuity of performance training.  The result is sometimes described in the third person, as if the fusion can only be appreciated fully in retrospect:

 

…Creating in this way is a delicate negotiation between inner and outer reality – self and others – to shape a whole.  It is very exciting when such moments occur.  I don’t feel I create but rather recognize them. (Lacy, 1990)

 

Homography in mind, it would be prudent to avoid too large a stretch.  While theatre might colloquially be referred to as a complex system, the intended meaning is rather different from the equivalent technical definition.  Nonetheless, I suggest that the imagery of DST  is potentially useful as a means of better understanding the creative act. The chaotic edge is a potent metaphor, irrespective of its ultimate mathematical relevance to the study of motor organization.  As imagery it encapsulates the dual nature of improvised movement - the integration of both structure and randomness within the moment of innovation.  For actor and audience, performance is about flow, edges, limits and an ongoing tension between boredom and anarchy.

 

Performance research could certainly benefit from the use of reconciling imagery.  Ironically, the richness of the topic has itself led to a stratification by vocabulary.  This is particularly true of the study of expressive movement.  Analysis can occur at a variety of levels, in contexts ranging from sociology to biophysics. One school has crystallized around the application of Laban’s Effort/Shape analysis at  the rudimentary level of impetus to action.  The Bartenieff FundamentalsTM are an acknowledgement of the impact of basic symmetry relationships on motor sequencing.  Studies focus on the integrating aspect of the breath, and the importance of various intrinsic somatic divisions.  These involve the proximal distal (trunk/limb), vertical orientation and the spinal response, laterality and independent motion as prerequisites for phrasing and 3-dimensional presence.  More conventional physiological perspectives introduce their own (independent) lexicon and emphasis.  Fitt discusses the impact of kinesiology on dance training.  Interest here is focussed on how the shape and capabilities of the body affect the range of motion.  Efforts are aimed at increasing the efficiency of training programs and the prevention of injuries (Fitt, 1996).  Biomechanical literature is more likely to chart the position, velocity, and acceleration of the line; papers range from the improvement of efficiency in skilled action to the role of feedback in performance. 

 

The diversity extends to larger and smaller scales.  Neuroscience provides another perspective on improvisation.  Here, quality of line is related to brain structures including the relative input of the primary motor area, the basal ganglia and the cerebellum.  At the level of cell assemblies, central pattern generators have been studied in animals, and their influence invoked in relation to the microstructure of skilled motor action (Kelso, 1997).  A shift from biology to psychology leads to a different set of conventions.  Discussions range from artistic motivation (Rank, 1932) to the use of improvisation in a mental health setting.  Larger contexts lead to speculation on the intrinsic meaning of motor phrases, the political implication of gesture, as well as the aesthetics of form involved in theories of choreography for groups.

 

Chapple and Davis, in their stimulating overview of the field, employ the image of a tree.   The roots draw from the physics of motion and the cycles of biology.  These are integrated at higher and higher levels, until the genres of performance emerge as branches (1988).   Complexity provides a complementary, process-oriented framework.  “Interesting” behavior is approached by describing the relative contributions of long-term (stabilizing) and short-term (energizing) influences. The players in the dynamic are a function of the level of analysis.  From the perspective of creativity research, training and self-reflection provide the performer with the continuity of a supporting structure.  Preparation and incubation meet task and environmental constraints in the generative moment of insight.

 

The dialogue of anarchy and constraint continues at the level of the movement trace.  Spontaneity of line is moderated by the definition of task and the stability of skills and temperament.   Patterns are shaped by  the inevitability of gravity and the unpredictability of the moment.  At finer scales, we find a subtle balance in the relative contributions of long- and short-term tempos in the micro-variations of the execution.   Physiological research suggests that ‘structured randomness’ may be integral to the performance of well-learned motor behaviors’ (Hausdorff et.al., 1995).  There is also evidence that intermediate complexity in rhythm texture may play a role in aesthetic judgements (Swickard).

Reciprocity and Innovation 

A concept similar to the edge-of-chaos metaphor appears early in the creativity literature.  Innovation has long been seen as occupying an analogous position of dynamic tension, poised between competing rational and irrational forces.    The edge has been defined implicitly by the simultaneous emphasis in various schools on structural and anarchic influences.   Platonic advocates have stressed the need for (paradigm-breaking) liminal states prior to creative leaps.  Frequently the unconscious is seen as a kind of stochastic engine - a churning producer of spontaneity.  In contrast, the rule-based component has been  pursued by Gestalt psychologists such as Arnheim.  The ultimate extension of this line of thought is a demystification of the creative act, in which creativity research becomes a sub-discipline of the psychology of problem-solving.

The link between structure and surprise is clarified when improvisation is seen as an aspect of creativity research. Serendipity and continuity are fused in the folk definition of creativity: that which is at once novel and appropriate.  Historically, however, the emphasis tends to favor one extreme or the other.  Houseman traces the rationalist perspective (artist-as-craftsman) back at least as far as Aristotle; Plato is credited with notion of divine inspiration (1975).  The fulcrum of the balance shifts with time and fashion.   19th century writers typically highlight the irrational component, presumably a reflection of the concerns of the Romantic period.  Coleridge’s account of the writing of Kubla Khan is a good example. The accident of circumstance involves the reading of a travelogue while mildly sedated.  The result is a miracle of the esemplastic mind:

 

The Author continued for about three hours in a profound sleep, at least of the external senses, during which time he has the most vivid confidence, that he could not have composed less than from two to three hundred lines; if that indeed can be called composition in which all the images rose up before him as things, with a parallel production of the correspondent expressions, without any sensation or consciousness of effort. (Coleridge in Ghiselin, 19xx)

 

20th century research has tended to focus on those aspects of the creative process which yield to empirical analysis.  Lowes’s retake on the creation of Kubla Khan is written in this vein (1927).  Starting from the entries in Coleridge’s notebooks, the poet’s acquisition of imagery is traced through a labyrinth of books and references. The singularity of the opium-dream is lost, the import of the drama now weighed against a foundation of extended preparatory research.  Serendipity is downplayed in favor of the continuity of procedural elements (i.e. knowledge acquisition and an extended period of reflection).

 

Fluidity and structure are also thematic in the study of imagery and the creative process.  Again there is a tendency  to emphasize the extremes.   Singer describes the imagination as an engine for novelty.  Creativity results from shifting attention to the spontaneity of the inner flow (1976).  Liminal states at the sleep/wake boarder are considered particularly fertile grounds for the appearance of unusual material.  Roset sees the source of the artistic process in the autistic imagery of dreams, drug-states and mental illness (1984).  This idea will be developed into a theory of remote associations by Baggott (1997).  The study follows changes in response quality with administration of cylocybin; a rise in distant analogies is likened to that seen in schizophrenia.  Rothenberg however, notes that verbosity in clinical settings is not typically matched by a rise in coherence.

 

A complementary emphasis on imagery and structure was initially championed by the Gestalt school of psychology.  Kohler describes the creative process as conditioned by fundamental rules of visual organization.   A number of such factors have been identified including the primacy of figure/ground distinctions, and the role of similarity, proximity and closure in the stability of perception (1925).  Arnheim proposes a connection between sudden shifts in the perception of ambiguous figures and the apparent discontinuity of insight.  Finke et al.  have extended the study of the Gestalt laws to include the conscious manipulation of imagery.  Their model of creativity involves a give-and-take between generative and evaluative phases.  New ideas are brainstormed by combining visualization with various transforms (such as rotation, fusion, and changes of context).  Emergent properties are then screened for utility, ease of recall and simplicity of form (1992). 

 

Imagery is increasingly recognized as an integrating factor – a means of channeling thought and performance.  Conceptual breakthroughs in science are closely linked to changes in prevalent analogy.  Kepler’s studies of the rules of planetary motion were initially stifled by over-reliance on a geometry of symmetry.  Subsequent progress involved the adoption of a facilitating image (a comparison of the solar system to the Trinity, with gravity in the role of the Holy Ghost) (Koestler, 1964).  Body image and motor performance are similarly open to conditioning through imagery. Franklin presents a program of dance training based on the cultivation of specific visual metaphors.  Each is designed to effect a particular quality of the dynamics of movement.  His work draws on the use of active imagination for the promotion of change, a tradition pioneered by the analytic school (1996).

 

Stochastic and structural forces are irreducible aspects of the creative process.  They remain despite changes in the approach or methodology.  Recently, computational metaphors have become the focus of attention.  These models employ the ideas and vocabulary of artificial intelligence. A typical example is the concept of search space.  Weisberg reformulates the creative process as an exercise in problem solving.  The set of all possible responses is described as a two-dimensional grid, with elevation above the graph representing the fitness of the solution. Creativity becomes a journey through a fog-covered landscape.  The goal becomes the arrival in a reasonable amount of time at high ground (Weisberg, 1993).  A key topic in these models is the links between productivity and effective search strategies.  Interestingly, one of the most popular suggestions involves the application of controlled randomness. Initial forays are left haphazard, as a means of sampling widely.  Later, as experience is gained, the degree of randomness is gradually lowered, leading to a fine-tuning of the search.  Judicious use of chance allows for a degree of performance superior to that of deterministic selection rules. 

 

Hofstadter integrates the limits of artificial intelligence with the practical work of the artist. His Copycat project is an attempt to engineer a machine capable of independently designing aesthetically pleasing type fonts (1995). Random elements are explicitly incorporated in the software.  Procedures are invoked probabilistically rather than in predetermined sequence.  Within structural limitations there is no a priori means for the programmer to anticipate the outcome of a given run.  The resulting mix of surprise and structure is a powerful metaphor for the artistic process.

 

Fluid Structure and the Psychology of Movement

A real-time dialogue between structure and randomness has long been described in somatic research.   In this literature, improvisation is seen as contingent on the interplay of the general with the specific - i.e.  the interplay of biological tendencies with the uniqueness of individuation. The deterministic aspect is emphasized in the discussion of movement archetypes - primal loci of organization which serve to channel undifferentiated action.  Stochastic influences involve the move from predisposition towards the specificity of life history.  The manifestation of archetype against the actor’s unique background is the essence of creative improvisation.  

The complexities of improvisation have long been the subject of psychological interest.  Chodorow presents an ambitious attempt to discern inner structure beneath the particularity of the moment.  Her terminology is borrowed from Jungian analysis, although she works as a Dance Movement Therapist.  In this model, creative action emerges from the interplay of a series of internal influences.  Details of the inner architecture reflect both evolutionary and personal development.  The deepest layers provide a fundamental energizing influence.  Their effect is undifferentiated, but serves as a stimulus to action. There is perhaps a close analogy here to brainstem function.  The reticular activating system in particular plays a role in the modulation of attention, and the maintenance of arousal (Chodorow, 1991). 

 

Superseding the primordial unconscious are the emotional archetypes.  At this level the stimulus to action is canalized into a series of primal affects.  Following Stewart, Chodorow outlines a system of four responses: fear, anger, sadness and contempt/shame.  These in turn are grounded on the more basic aptitudes of centering (startle) and orientation (joy/interest).  Physiological correlates are also possible here.  Structures of the mid brain are directly involved in the creation of emotional response.  Animal studies have highlighted the role of the amygdala in priming the motor system for fight or flight.  More controversial is the identification of each archetype with a prototypic icon and sensory channel.

 

In the analytic model, primal activity is subject to further differentiation at higher levels. The cultural unconscious integrates the capacity for self-reflection with the power of emotion, leading to productive imagery.  This is the foundation for myth and of the sensation of the inner journey.  It also represents an explicit opening-outward to the social world.  Symbolism results when affect-tendencies meet with the specifics of locale and era.  Motion necessarily reflects this balance.

 

The personal unconscious adds the history and conflicts of the individual to the layering of action.  The persona is a constellation of movements representing the idealized projection of the self.  The shadow, in contrast, is the reservoir for unacknowledged or dissociated psychic energy.  In analytic thought, tension between these forces is said to result in idiosyncratic action.  Fragments recur in daily life (and presumably in movement training) until the underlying complex is resolved.  The focus of Mindell’s process oriented psychology is on the alleviation of this state.  His procedure involves the cultivation of focussed awareness – a type of movement meditation.  When re-search is combined with presence, gesture is given an opportunity for elaboration and integration.  The action border then shifts towards deeper issues.

 

Ego consciousness is primarily responsible for volitional action.  It is dominant in the setting of tasks and in phases such as the warm-up.  Phylogenetic association is with the neocortex.  The canalization of energy associated with deeper layers reappears here in terms of personality patterns.  Choice in movement is conditioned by broad tendencies towards introversion and extroversion.  There are also preferences with respect to sensing and intuiting, or thinking and feeling.  Higher on the Self-ego axis are factors representing individuation and the life-arc.  They appear as organizing principles of motion involving the use of symmetry and closure symbols such as the circle.

 

Analytic psychologists reject both determinism and anarchy as meaningful approaches to the understanding of creative movement.  Action tendencies are broadly constrained by physiological principles and genetic memory.  However the influence of culture, personal baggage, time, place and conscious choice are no less present in the reality of improvisation.  Traditionally, the study of dynamical systems obeys a similar logic.  Description in terms of the specifics of position is contrasted with explanation in terms of general movement principles (velocity, acceleration).  When deeper rules are combined with a knowledge of history (initial conditions) understanding of the system is said to be complete (Elman et.al., 1996).  Chodorow’s approach is schematically similar, with a universality of structure expressed through the prism of individual experience.

 

Hawkins presents an alternative framework for the analysis of creative movement.  Her perspective is more experiential, and less tied to Jungian terminology.  Creative action is presented as the external correlate of a process of internal re-organization.  Psychic dynamics are conditioned by innate tendencies such as sensing, feeling and the power of the image.  However, maturity of the performance is contingent on training and the development of raw potential (Hawkins, 1991).  

 

Each of the organizing principles is open to growth and elaboration.  Sense memory and awareness are heightened by observational exercises.  These include attention to structural detail, as well as to aspects of tempo-rhythm. Feeling is related to the depth of involvement – i.e. the sense of presence.  Motivation is encouraged by providing a safe physical and emotional environment.  Movement tasks are assigned which tap basic somatic issues such as approach/withdraw, conceal/reveal and tighten/loosen.  With time, fragments of authentic action are woven together into extended improvisations.

 

Imagery is central to the fusion of sense and feeling as coherent action.  Active imagination is encouraged firstly through guided relaxation.  Practice is given in the ability to externalize abstractions as concrete dynamics.  Students are advised to experiment with concepts open to both physical and emotional interpretation.  Symbolism is also employed as a means of binding sensation to social reality.  Exercises include the exploration of entanglement, attachment, search and suspicion.

 

Transformation is deepened with the acquisition of choreographic skills.  Awareness of energy flow is guided by studies of birds and animals.  Spatial design and relationships are also addressed through imagery.  Rhythmic sensitivity is heightened by attention to word usage and phrasing.  There is also concern for fostering the reintegration of separate skills as organic movement.  Latent organization is nurtured through performance re-search.  Hawkins contends that development is marked by a shift from personal to social, from fragmentation to elaboration and from constraint to communication.

 

In comparison with the analytic model, Hawkins is more aware of the synergy between improvisation and discipline.  While both frameworks acknowledge the influence of inner architecture, the emphasis here is on professional development.  Latent tendencies are seen as in perpetual flux, gaining or losing efficacy in relation to training and experience.  While action arises from a general instinct to growth, content and quality of line are open to revision.

 

Structure, Randomness and the Position Trace

The metaphor of an edge is no less relevant at the level of kinematics.  Laban was one of the first theorists to see within the apparent anarchy of real-life action the regularity of  recurrent dynamic ‘themes’.  These he described in terms of clusters on the axes of weight, space, time and flow.  His effort actions are roughly analogous to the somatic notion of motion archetypes.  They represent the background presence of structure, organizing principles in ongoing tension with the spontaneous element of performance.  Further, his clusters are also similar to the DST notion of an attractor - regularities in the transitions of activity which a system manifests during its evolution.

 

Detailed analysis of movement paths is constrained by inherent methodological difficulties.  One issue is the fidelity of recording instrumentation.  Novak discusses the merits and drawbacks of applying codified systems in the context of contact improvisation (1988).  Layers of distortion are necessarily introduced.  The precision of Labanalysis, for example, is no doubt qualified by both the skill of the analyst and a degree of inherent cultural bias.  Aspects of the dynamic schema in particular have proven to be problematic.  Fitt suggests the replacement of the flow axis with a more value-neutral estimate of force. She also describes attempts to demonstrate the validity of the quality scales with reference to changes in muscle activity traces (EMG) (1996).  

 

Despite the difficulties, Effort/Shape coding, an aspect of the Laban system, provides an intriguing method for documenting the complexities of improvised motion.  The emphasis is on action quality rather than position/trajectory.  The result is an abstraction of performance,  often revealing latent structure beneath the particularity of the moment.  In his own research, Laban identifies a series of dynamic archetypes (Effort Actions).  Each represents a distinct triplet, drawn from all possible combinations of four axes of notation.  Floating for instance, is the confluence of a light touch, an indirect use of space and a leisurely tempo-rhythm.  The psychological correlate is indulgence.  In contrast, thrusting denotes the opposite – an attitude of resistance to time, space and weight. Eight such primary centers are contrasted with six indeterminate regions known as incomplete actions.  These are behavioral transition points (axis crossings) in which only two of the four polarities are distinct (Newlace, 1993; and Laban, 1971).

 

Laban presents Effort/Shape as a means of describing both the objective manifestation and the motivation to action. His movement constellations are at once pure observation and an inference regarding the inner world of the performer.  The argument is tailored to the constraints of conventional theatre.  From this perspective, movement is meaning; dynamics become the medium through which the audience reaches an understanding of intent.  The impact of effort actions in a nonrepresentational setting is left unexplored; however, a universality of influence is implied.

 

Movement archetypes represent a subjective awareness of long-term regularities. Laban performs what in statistical parlance would be referred to as cluster analysis.  Traces accumulate with extended observation, until patterns begin to emerge.  Prototypes (such as effort actions) are then identified, and provided with labels.  A question for future research is the degree to which the action centers (punching, pushing, slashing) generalize beyond the details of Labanalysis.   Does gliding represent a regularity of expression or of the notation?  Are other dynamics inherently unstable, or are they less often noted because of a lack of contrast?  One response is to retain the essence of the recording process, but to adapt an eclectic approach to content. Novak’s photo essay is a case in point; methodology is grounded in the Effort/Shape tradition, but attention is geared to the specifics of performance style.  

 

Technology provides a means of reducing some of the bias associated with motion study.  Mulder describes the range of equipment available in the field of human movement tracking.  Sensors take advantage of acoustic, optical and magnetic designs.  Precision is increased when systems are worn on the body (the inside-out strategy).  The disadvantage in the performance context is the clash between mechanical encumbrance and artistic expression.  Outside-in systems such as video cameras produce a courser trace, but are less intrusive.   

There are other more subtle difficulties with the recording process.  Improvements in reliability are won by a narrowing of focus; a loss of perspective is always possible.  The subjective impression of Performer A’s use of space is replaced by the objective trace of her center of gravity.  Or her elbow.  The element of social interaction is similarly obscured.

 

However, the use of such equipment does create exciting new research opportunities.  This is particularly true when the precision of the recording is combined with contemporary approaches to path analysis.  The field of complex systems has been particularly active in the development of tools for the understanding of subtle dynamics.  Their methods have evolved as a means of coping with ambiguous structure, such as the pattern of eddies in flowing water.  One of the icons of this interdisciplinary science is a graphic analysis of the weather by Lorenz.  His 3-dimensional model reveals flickering chaos subsumed within a larger, less obvious aesthetic.  Building on these results, a more general procedure (the Method of Delay) was introduced for the study of nonlinear change.  The approach starts with the spatial trace, and argues backwards to arrive at a statement of general movement quality. Action profiles emerge from the superposition of many short-term events.  The result is a statistical fingerprint in which the details of the improvisation are sacrificed for knowledge of long-term behavior.  The objectivity of the image is one answer to the issue of bias in conventional scales of notation.

 

Contemporary analysis also benefits from advances in computer technology.  Connectionism is an increasingly popular alternative to conventional software design.  Based loosely on biological models, the parallel architecture is well-suited to the detection of subtle regularities.  Usage is typically split into two distinct phases.  In the training period, data samples are paired with a category label. Sets of movement traces might, for example, represent the work of a single performer, or samples from a particular genre (mime, contact, etc.).  The task of the computer becomes the discovery of invariant patterns – common elements which transcend the specifics of each recording.  Analysis becomes the basis for the creation of an internal prototype.

 

The results are useful as an objective assessment of recurrent themes in the dynamics of action.  They may also be used for comparing or contrasting new work with previous samples.  The utility of the approach is well-demonstrated in the field of speaker verification.  Here the technology is applied to the problem of determining the identity of an individual given a sample of her speech.  Patterns of vocal quality are abstracted, and compared with a library of templates. Differences are to be expected from day to day as people catch colds, and respond under various levels of stress.  However, there are thematic elements beneath changes in surface details.

 

Self-Organization and The Body in Motion

Metaphor comes closest to mathematics in current attempts to understand motor learning and motor control.  Theorists such as Thelen and Kelso describe a universe of action in which the movement trace is a negotiation between the elusiveness of intention and the physics of the actor/environment matrix.  Structure is  modulated through the necessary presence of randomness.  The role of ‘noise’ in the motor system is seen as that of a lubricant, allowing the actor the flexibility to escape from fixed action patterns.  Fluid movement is described as contingent on the real-time relationship between stochastic and structured forces - yet again a phenomenon contingent on  dynamic balance.

 

The application of these new tools has meant a step forward in the sophistication of movement studies.  Thelen presents an overview of the paradigm shift occurring in the analysis of skill acquisition (1995).  Her research into infant development focuses on the process of self-organization.  The ‘degrees-of-freedom’ dilemma is particularly intriguing – given the incredible plasticity of the human body, how is it that most children autonomously arrive at the same motor milestones?  Her work implies that skilled movement results not only from neural development. Action is also shaped in real-time by the physical properties of the limb.  In this view, the potential for walking is distributed across the interface between the child and her environment.   Change any aspect of the system, and the nascent form is affected.  Thelen notes the emergence of new motor styles during the Apollo space program.  A jumping pattern automatically replaced conventional walking under the lighter conditions on the moon’s surface.

 

Another example of the blending of form and function comes from the investigation of the stepping reflex.  Newborns are capable, if supported, of demonstrating a walking pattern.  The behavior is lost within a few weeks, only to reappear in a year’s time.  Conventional thought was that the motor schedule was conditioned by changes at the level of the central nervous system. However, Thelen offers a more pragmatic solution; the gain and loss of potential reflects the very physical ratio of limb size to strength.  Reduce the pull of gravity (through suspension in warm water, for example), and the phantom skill returns.  Walking becomes not a ‘thing the child does’ but rather a negotiation between the will to move and the context.  In Thelen’s words:

 

Nonetheless, some patterns are preferred under certain circumstances: They act as attractors in that the system ‘wants’ to perform them.  Other patterns are possible but [are] performed with more difficulty and are more easily disrupted. (1995, 84)

 

Kelso is similarly interested in the link between physiology, environment and emergent action. His work documents the relative contributions of task, symmetry and coordination in the organization of skilled movement.  Often his experiments focus on the nature of spontaneous shifts (transition points) in behavior.  In a typical example, subjects are asked to simulate patterns of locomotion familiar from the animal kingdom.  These include pacing, trotting, galloping and jumping.  Tracking equipment is used to monitor the ‘cross talk’ between arms and legs as the tempo is varied.  At macro levels, action patterns are cleanly separated; there is an either/or quality to limb synchrony.  Preferred directions (bound to jump, not the other way round) further contribute to the sense of coherence.

 

However, a complimentary picture emerges at smaller scales.  Microanalysis reveals a graded instability (fluctuation enhancement), prior to a switch (Kelso, 1997).  Kelso suggests that this is cause rather than effect; noise may be a necessary element in pattern shifts. Using a physical model, the argument is that endogenous excitation or randomness may serve to facilitate phase transitions by weakening the hold of established action.  The idea is exciting because it dovetails with other studies on the role of ‘background noise’ in the central nervous system.  Freeman and colleagues at the University of California have spent 30 years studying the physiology of perceptual shifts (1991).  Most of this work has been with the sense of smell in animals.  A major finding has been the demonstration that distinct firing patterns of brain cells correlate with the recognition of different odors.  Following on this however, has been research into the ‘reset’ mechanism.  To use a more familiar analogy, how does the wine taster clear her palate between glasses?  Freeman contends that the brain naturally returns to a state of controlled randomness (chaos).  The uniformity of noise serves to neutralize the impact of previous impressions, and to facilitate accommodation to new ones.  It is the dynamic at the center of fresh perception, and possibly fresh action.  Is this the physiological correlate to Tufnell’s ‘Gap’ in improvisation – the felt sensation of a facilitating emptiness?

 

My work at the University of Malta involves the application of trace recording to the study of expressive movement. A basic question I have is whether motion archetypes (clusters in the dynamics) can be used to document individual differences in performance.  Personality has been described as endogenous, enduring patterns of behavior. Typically this is interpreted linguistically in terms of responses on pencil and paper tests.  Is it possible also to demonstrate the nonverbal equivalent in terms of movement consistency?

 

In the current project, ultrasonic equipment is being used to record improvised hand movements.  The participants are undergraduate and post-graduate actors.  Their experience with movement training ranges from zero to nine years.  Experimental sessions last for thirty minutes.  The recording ‘studio’ consists of a table 1.5 m in length, situated at waist height.  Performers are asked to create an air trace by moving a target towards and away from the eye of the recorder (Fig. 1a).  The context of the dynamics is varied in 5-minute intervals; the requested quality of line shifts between the four combinations of staccato/legato at fast/slow speeds.  Each actor is recorded on two occasions, separated by at least 24 hours.  The basic question is whether individual differences recur consistently in the line traces.

 

Interesting patterns emerge from the comparison of records. The quality of line is apparently conditioned by both acquired skills and by performance interpretation.  Precision of action correlates with years of experience.  The beginners are able to capture the fast/slow dichotomy, but the flow categories are lost, particularly at high speeds.  The effect is presumably related to the development of performance skills.  Movement pedagogy is another factor. One performer showed an unusual emphasis on the transition between stops;  in discussion with him the phenomenon was attributed to a background in mime.

 

The tools of nonlinear analysis provide additional levels of insight. When movement is processed with the Method of Delay, details of the partitura are suppressed in favor of general action signatures.  In this format, similarities of performance are heightened (Fig. 1b).  Knowledge of an actor’s work on one day suggests qualities of line that will evolve in later sessions.  Patterns are further clarified by extending the results with new computer technology (networks).  It becomes possible to identify individual differences in the range of preferred dynamics (Fig. 1c).  In effect, the software is asked to identify an actor based on a current motion profile and a library of previous samples.  Movement recognition is in principle no different than analysis by voice.  I have had some success in this area, although the difficulty increases exponentially with the number of performers.

 

Complexity and Tempo

At the level of  tempo-rhythms, complex organic processes demonstrate a DST-related concept known as self-similarity.  It appears that under certain conditions, systems are able to spontaneously self-organize, creating a subtle organization of short-term fluctuations within a framework of long-term influences.  Cardiac variability is one example - the heart maintains a steady rhythm yet fluctuates rapidly in response to environmental pressures.  Musical composition is analogous in the successful reconciliation of monotony and surprise.  It is expected that a similar pattern would appear in the physical analysis of improvised movement patterns.  However, this assertion has yet to be rigorously tested.

 

The ‘fluid-structure’ dynamic is equally apparent when the emphasis shifts from space to time.  Hausdorff et al. report on the intricate layering of tempo-rhythms in natural walking patterns (1995).  Participants are fitted with a device that measures the interval between steps of the same foot.   Analysis is focused not on pace continuity, but on the variations in speed from the average rate.  The nature of these fluctuations is intriguing; the profile of residuals is consistently intermediate between randomness and over-determination.  Technically, the results belong to a category known as scale-free processes; while slow changes predominate, there are contributions to the movement occurring at all frequencies.  Quite literally, there is ‘something to see’ regardless of the interval of attention.  Scale-free behavior is not an artifact of the recording.  It is lost when the data is reanalyzed after shuffling.  It is also sensitive to the presence of self-organization.  When the subjects are asked to match their steps to the sound of a metronome, the signature disappears. 

 

The origin of the pattern is currently a matter of speculation.  Simple models (e.g. adding noise to a base rhythm)  fail to recapture the distribution of tempos.  Presumably there is a connection with the layering of influences present in all organic processes.  It is perhaps not surprising that the authors of this study are known for their investigation of heart rate intervals.  In this field, micro-variations have been a focus of attention for more than thirty years.  Here too, the phenomenon represents a confluence of forces (cardiac, respiratory, neuronal) operating over a range of time scales.  Details of the transition from cacophony to symphony remain poorly understood.  What is clear is the link between biological processes and health.  Variability is suppressed in the presence of stress hormones.  It is also reduced by diseases such as diabetes.  This fact has been put to good use; scaling in inter-beat intervals is now recognized as a marker for recovery following heart transplantation (Stanley et.al., 1996).   

 

Human activity is colored by a superposition of tempos.  Further, the balance of frequencies reflects both internal organization and accommodation to external factors.  Does the eye use this information in evaluating the authenticity of action?  This is currently an open question.   Certainly the ability to distinguish organic movement persists even under difficult viewing conditions.  Kelso reports on a study in which subjects are recorded while performing various tasks.  Motion is rendered abstract by storing only the light from markers placed on key points of the body.  Resulting patterns are then embedded in larger cloud of dots.  Viewers have difficulty identifying the outline of a person when the images are static.  However, the recognition is instant once the sequence is run (Stanley et.al., 1996).

 

Voss is responsible for investigating the specific relationship between perception and scale-free processes.  His pioneering work focuses on the acoustics of music.  One study involves the analysis of frequency relationships in extended recordings of radio programs.  The emphasis is on global features of organization in the distribution of audio power.  The results show a pattern analogous to that described by Hausdorff et al.  Music apparently represents the same combination of multilevel activity and moderate complexity (Voss, 1975).  Early studies demonstrated invariance across a spectrum of pieces, ranging from classical to jazz.  The results have since been confirmed in the spectral profiles of nonwestern compositions. Schroeder speculates that perception is biased towards phenomena intermediate between monotony and anarchy.  It seems that music captures our attention by matching our range of sharpest focus.

 

Voss extends these findings by exploring the relationship between scaling and perceived musicality.  In one study, frequency distributions are used as the starting point for the creation of original scores.  The synthesis occurs in several steps; the pattern of scaling is tapped first for the sequence of pitch, and then again for the duration of the notes.  Three compositions are prepared, representing the default condition, as well as shifts in the balance towards randomness and predictability.  Listeners consistently judge the signal with the intermediate degree of complexity to be the most pleasingx.

 

I have been looking at ways to apply these results in the study of artistic expression. Classical musicians differ in their interpretation of a score; enthusiasts are quickly able to identify a pianist’s ‘signature’ despite changes of instrument or musical selection.  Is it possible to find an empirical correlate to this invariance?  As in the

                                   

 

Figure 1a top: hand movement trace – displacement versus time

1b middle: motion signature, derived from Fig. 1a using Method of Delay

1c bottom:  separation of 3 trace samples by performer, based on tempo and velocity

 

analysis of movement profiles, a machine learning approach is adopted.  Connectionist technology is well-suited to the analysis of slippery categories.  Caudell & Butler for example describe the development of a filter capable of distinguishing between the sonar echoes of natural and man-made objects (1991).  The beauty of the procedure is that the salient qualities of the signal do not need to be specified beforehand.  Rather the software is presented with the raw data, paired to a series of desired targets (‘artificial’ versus ‘natural’ in the sonar study).  The computer is asked to assimilate the information.  This is accomplished by searching for a means of summarizing the data such that the labels provided are preserved.  The performance summary can then be tested against new, unlabelled material.  Furthermore, it is possible to work backwards from the solution in order to gain insight into exactly which features of the data were relevant to the distinction.

 

In a project on performer identity, I attempt to compare the interpretation of two pianists.  The material consists of excerpts from Bach’s Goldberg Variations.  Recordings are digitized and summary profiles are constructed from the distribution of frequencies.  These are paired with the target categories (“Performer A” and “Performer B”) and presented to the software.  The computer is indeed able to formalize the distinction.  Further, the recognition by performer extrapolates to new recordings. 

 

The most interesting aspect of the exercise is in the ‘debriefing’ of the classifier following its success.  Resolution turns out not based on isolated features of performance.  Rather, the separation by style draws on information distributed uniformly across the entire range of frequencies.  The smoothness of this pattern is only disturbed when the data is corrupted.  In all likelihood there is no literal relationship between the machine’s logic and the details of subjective perception.  However, these results do suggest that the performer identity is a holistic construct, informed by input across a range of scales.

 

Conclusions:  Towards a Deeper Understanding of Fluid Structure

Results to date represent little more than a sketch for further work.  The icons of complexity (scaling, self-organization, reciprocity) are useful; they stress similarities of form across diverse knowledge domains. The implications for research, however, need to be tested against the reality of performance.

 

A key issue in the field of creativity studies is the development of the distinction between online and off-line processes.  Most of the attention over the past century has been focused on the lives of writers or scientists.  Paradigm shifts and literary works have in common the luxury of pauses for reflection.  Wallas’s four-stage model notes the importance of incubation prior to insight.  Kohler’s studies treat innovation as the outcome of a protracted exercise in problem solving.  Creative movement, on the other hand, represents continuity of flow.  There is no opportunity for a time-out in performance.  This suggests that artistic improvisation involves a qualitatively different set of production rules.

 

Continuity and innovation are linked in music as well as theatre.  Sternberg studies the nature of online composition in jazz.  He believes that successful musicians base their sessions on the use of a limited set of guiding principles, known as production rules (1988).  The complexity of these heuristics is ‘unpacked’ by applying them cyclically as the performance unfolds.  A similar dynamic is commonly encountered in the field of complex systems.  The creation of highly evocative fractal images is based solely on the recursive use of very simple instructions.  Organic textures are particularly easy to capture with this method.  Trees and ferns emerge through the actions of translation, rotation and scaling.  Is there a comparable dynamic at work in the artistic use of the motor system?

 

Complexities of structure are similarly hinted at by research based on analytic and humanistic psychology. Insight into the role of the unconscious in physical action will presumably deepen as theoretical frameworks are evaluated by performers.  Certainly the writings of dance movement therapists can be adapted to research in creative improvisation.  A number of hypotheses are implicit in Chodorow’s system; it would be interesting to match them against felt experience in the work of the actor.  Does improvisation reflect the ebb and flow of autonomous centers of influence?  Is this interaction relevant to the evolution of structure in training sessions?  How important is imagery to the process of organization?  What is the link between repetition and awareness?  To what degree are fragments of movement a result of gesture and culture?

 

Laban’s work offers another perspective on the psychology of movement.  Some of the arguments appear dated, particularly the notion of dynamics as a window to the inner world of value.  However, potential links between Effort/Shape analysis and cognitive science await development.  Laban describes what would now be referred to as altered states of consciousness in terms of patterns of movement.  Further, he offers clear predictions regarding the correlation between action quality and inner experience.  It would be fascinating to combine the potential of current biotechnology with the heritage of dance notation. 

 

Thelen’s work with dynamical systems raises interesting questions regarding locus of control.  Where is the stability of the dynamic?  Is it imposed by the central nervous system, or does it arise as a negotiation with space and gravity?  Current thought on the physics of motion is intimately connected with the decline of Cartesian dualism.  From the viewpoint of complex systems, improvisation becomes a tangible expression of the field of performance, rather than the will of the performer.  There are implications here for the work of the artist.  How does quality of movement relate to the spotlight of attention?  What if the center of perception expands to include the stage, or the stage-and-audience?  Perhaps soliloquy is inevitably dialogue.

 

Kelso extends the ambiguity to include the act of volition.  Change is conditioned by the dissolution of attractors, mediated by an enhancement of endogenous ‘noise’.  The similarity to training in improvisation is striking;  discipline becomes a means of  clearing away of old patterns in expectation of new form.  The relationship between physiology and subjective experience is an open question. Is the uncertainty of spontaneity exciting, or does excitement facilitate spontaneity?  How sensitive is the process to the balance of tension and relaxation?

 

Technological progress provides a different perspective on the complexity of performance.  Sessions of improvised movement exist within a larger context of training.  Software modeled on the process of speech recognition is able to express this continuity in objective terms.  A fundamental issue (for actors and their empirical audience) is the question of novelty:  to what degree is new work inevitably conditioned by past experience and motor personality?

 

The most interesting arena for interdisciplinary research is the relationship between tempo-rhythm, performance and the aesthetic of organic action.  The process through which multilevel contributions to movement are blended into a coherent whole is still poorly understood.  Bak argues that nature is often biased towards textured (scale-free) behaviors.  However, the assertion is still controversial.  There is as yet no agreement on a mathematical basis for the assertion.  There is also debate regarding the relevance of the theory under real-world conditions.  Improvised movement is a case in point.  To what level does the term ‘self-organization’ imply?  Is it meant with respect to the physical trace, the interface of motor programs with muscle, or the will to form?  Or is it a summary of the multilayer influences?

 

Psychophysics will eventually answer whether the phenomenon of listening bias is relevant to the visual appreciation of movement.  Is the sense of texture contingent on a balanced superposition of tempos? Is complexity of line related to truth in action?  Or is scaling of relevance only to the appreciation of music?  For the actor, research linking biological rhythms to external influences is equally provocative.  It is an invitation to re-examine the impact of stress, physical condition and psychological locus of control on the mercurial quality of performance.

 

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