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398                           DEMPWOLF & SHNEIDERMAN



      these dynamic and complex adaptive systems has  Why Innovation Is Hard to Measure and How
      become an important priority within science policy   Event Analytics Can Help
      and scientometrics (2).                       A streamlined definition of innovation is the
        Our modeling of research and development activ-  process of working on marketplace problems that
      ities enriches the prevailing network approach with   prompts innovators to transform ideas and scientific
      event analytics by focusing on time-stamped point   knowledge into new products (broadly defined to
      events, such as getting a patent, or interval events,   include services). The innovation process connects
      such as the funding period covered by a grant or   marketplace problems with research events; how-
      contract.                                   ever, each product follows a unique path involving
        We see STI processes as comprising sequences of   different types of activities, including research, pub-
      point and interval events that together result in the   lication, invention, prototyping, proof-of-concept,
      translation of knowledge and research into new prod-  and several commercialization events culminating
      ucts and services in the marketplace. (The phrases   in a new product launch. The trajectory a product
      “products” or “products in the marketplace” are con-  takes may involve multiple events within any stage
      strued broadly throughout this paper to include all   and may involve revisiting a prior stage if remedial
      types of innovation and all types of “marketplaces,”   work is required. Thus, the first difficulty in measur-
      including public domain.) Point events are associated   ing innovation is the unique and variable nature of
      with a single date and time (e.g., the date of a patent
      application), while interval events are associated with   the innovation trajectory or sequence of events for
      start and end dates and times. Research projects or   each product.
      research grants with start and end dates are examples     A second difficulty is that early-stage research
      of interval events. These events generally fall into one   events are often undertaken for the purposes of
      of several categories, including research, invention,   knowledge creation and publication. In fact, the
      proof, and several types of commercialization events.   explicit innovation goal of a new product may not
      (The order of activities here generally follows the   yet exist. There is a temptation to define the distinc-
      linear model of innovation. This ordering is primarily   tions among science, technology, and innovation
      a matter of convenience and should not be construed   more rigidly, but this creates as many problems as it
      as proffering any particular model or theory of STI   solves. The creative moment when the product is first
      processes.) Each event is associated with a document   envisioned involves a specific set of conditions that
      or record that describes the event, the key people and   are a function of the sequence and characteristics of
      organizations involved and what roles they played,   events up to that point. It is as if the innovation path
      when and where the event occurred, along with other   suddenly appears midway through the journey.
      attributes. The information from these records, espe-    Mathematically, this describes a Markov chain or
      cially dates, may be used to model event networks of   Bayesian network model, in which each event in the
      people, organizations, places, and documents.  sequence is influenced by the cumulative effect of
        Events that contribute to the development of   everything that has happened up to that point. Nei-
      specific products and services may be associated   ther the final destination nor the intermediate events
      with each other, creating product and service event   can be known with certainty. They may, however, be
      sequences or trajectories. The trajectories may be   estimated based on certain probability distributions.
      connected through the networks of people, organi-  Modeling and analyzing innovation event trajecto-
      zations, places, and documents involved and through   ries for successful products a posteriori establishes
      their contributions to specific product and service   the basis for estimating those baseline probability
      event sequences. Conceptually, this dual modeling   distributions. This, in turn, allows the formulation
      structure (innovation networks and innovation event   and testing of more sophisticated hypotheses. It may
      trajectories) provides a linkage between STI as com-  also allow the development of predictive models or
      plex adaptive systems and STI as complex processes.  facilitate machine learning and the development of
                                                  related big data applications. Finally, the goal would
                                                  be prescriptive modeling that would enable policy
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