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Mind, Body, World- Foundations of Cognitive Science, 2013a

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connectionism is positioned to capture regularities that are difficult to express in<br />

language or by using formal rules (Loy, 1991).<br />

For example, human subjects can accurately classify short musical selections<br />

into different genres or styles in a remarkably short period <strong>of</strong> time, within a quarter<br />

<strong>of</strong> a second (Gjerdingen & Perrott, 2008). But it is difficult to see how one could provide<br />

a classical account <strong>of</strong> this ability because <strong>of</strong> the difficulty in formally defining a<br />

genre or style for a classical model. “It is not likely that musical styles can be isolated<br />

successfully by simple heuristics and introspection, nor can they be readily modeled<br />

as a rule-solving problem” (Loy, 1991, p. 31).<br />

However, many different artificial neural networks have been developed to<br />

classify music using categories that seem to defy precise, formal definitions. These<br />

include networks that can classify musical patterns as belonging to the early works<br />

<strong>of</strong> Mozart (Gjerdingen, 1990); classify selections as belonging to different genres<br />

<strong>of</strong> Western music (Mostafa & Billor, 2009); detect patterns <strong>of</strong> movement between<br />

notes in segments <strong>of</strong> music (Gjerdingen, 1994) in a fashion similar to a model <strong>of</strong><br />

apparent motion perception (Grossberg & Rudd, 1989, 1992); evaluate the affective<br />

aesthetics <strong>of</strong> a melody (Coutinho & Cangelosi, 2009; Katz, 1995); and even predict<br />

the possibility that a particular song has “hit potential” (Monterola et al., 2009).<br />

Categories such as genre or hit potential are obviously vague. However, even<br />

identifying a stimulus as being a particular song or melody may also be difficult<br />

to define formally. This is because a melody can be transposed into different keys,<br />

performed by different instruments or voices, or even embellished by adding improvisational<br />

flourishes.<br />

Again, melody recognition can be accomplished by artificial neural networks<br />

that map, for instance, transposed versions <strong>of</strong> the same musical segment onto a<br />

single output representation (Benuskova, 1995; Bharucha & Todd, 1989; Page, 1994;<br />

Stevens & Latimer, 1992). Neural network melody recognition has implications for<br />

other aspects <strong>of</strong> musical cognition, such as the representational format for musical<br />

memories. For instance, self-organizing networks can represent the hierarchical<br />

structure <strong>of</strong> a musical piece in an abstract enough fashion so that only the “gist” is<br />

encoded, permitting the same memory to be linked to multiple auditory variations<br />

(Large, Palmer, & Pollack, 1995). Auditory processing organizes information into<br />

separate streams (Bregman, 1990); neural networks can accomplish this for musical<br />

inputs by processing relationships amongst pitches (Grossberg, 1999).<br />

The insights into musical representation that are being provided by artificial<br />

neural networks have important implications beyond musical cognition. There is<br />

now wide availability <strong>of</strong> music and multimedia materials in digital format. How<br />

can such material be classified and searched? Artificial neural networks are proving<br />

to be useful in addressing this problem, as well as for providing adaptive systems<br />

for selecting music, or generating musical playlists, based on a user’s mood or past<br />

Classical Music and <strong>Cognitive</strong> <strong>Science</strong> 289

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