How Do Artificial Neural Networks Classify Musical Triads? A Case Study in Eluding Bonini's Paradox

How might artificial neural networks (ANNs) inform cognitive science? Often cognitive scientists use ANNs but do not examine their internal structures. In this paper, we use ANNs to explore how cognition might represent musical properties. We train ANNs to classify musical chords, and we interpret network structure to determine what representations ANNs discover and use. We find connection weights between input units and hidden units can be described using Fourier phase spaces, a representation studied in musical set theory. We find the total signal coming through these weighted connection weights is a measure of the similarity between two Fourier structures: the structure of the hidden unit's weights and the structure of the stimulus. This is surprising because neither of these Fourier structures is computed by the hidden unit. We then show how output units use such similarity measures to classify chords. However, we also find different types of units—units that use different activation functions—use this similarity measure very differently. This result, combined with other findings, indicates that while our networks are related to the Fourier analysis of musical sets, they do not perform Fourier analyses of the kind usually described in musical set theory. Our results show Fourier representations of music are not limited to musical set theory. Our results also suggest how cognitive psychologists might explore Fourier representations in musical cognition. Critically, such theoretical and empirical implications require researchers to understand how network structure converts stimuli into responses.     

Locke and “ad”

In IV, xvii, 19–22 of his Essay, Locke employs Latin labels for four kinds of argument, of which one (ad hominem) was already in circulation and one (ad judicium) has never had much currency. The present proposal seeks to locate and clarify what Locke was aiming to describe, and to contrast what he says with some subsequent uses that have been made of these labels as if they named fallacies. Though three of the four kinds of argument that Locke picks out are often less than decisive, he casts no aspersion on the legitimacy of their use in debate.

     

Death by 1000 ‘true fans’: Do marketing laws apply to music listening?

The advice to musicians and marketers is to focus on what they love: a truism for practitioners is to find 1000 ‘true fans’ and make $100 from each of them (Kelly, 2008. 1000 True fans. The Technium). If this advice is correct, we should see musicians with loyal user bases engaging more with their favourite artists and less with other music, suggesting a narrow targeting strategy would suffice. On the other hand, the established marketing laws indicate that the listeners of very different genres should overlap more than conventional wisdom would suggest, supporting the need for a much broader approach to targeting potential audiences. Given these conflicting views, musicians need to know if they should market to their existing listeners, the listeners of music similar to theirs (i.e., the same genre), or if they should try to reach a much wider audience. We turn to established choice patterns from the marketing literature to address these questions in the music context. This study examines 84,000,000 observations of music listening from 27,000 unique global users between 2013 and 2014 and survey data from 2019 containing music listening from over 1000 representative respondents in the United States. The results show that listening follows the Duplication of Purchase law for genres, artists, albums, and songs, at an annual, 6-months, 3-months, 1-month, and 1-week period, with no indication of partitioned music listening. The implication is that musicians should try to reach all potential listeners, regardless of what they already listen to. These findings contribute to the theoretical knowledge about duplication analyses of various durations, extend the contexts of choice behaviour that exhibit this pattern, and managerially, to knowledge about the extent of potential audiences and ‘share of ear’ competition.     

“Being human”: A grounded theory approach to exploring how trainers on clinical psychology doctorate programmes decide whether or not to disclose personal experiences of psychological distress to clinical psychology doctorate trainees

Objective

Recent research and guidelines recommend that trainers on clinical psychology doctorate training programmes consider disclosing personal experiences of psychological distress to trainees. Disclosure is thought to promote cultures of openness, validate and normalise trainee distress, encourage trainee disclosure and help-seeking and challenge stigmatising narratives. However, little is known about how trainers decide whether, what or how to disclose. This study aims to address that gap by exploring the processes and factors involved in trainers deciding whether or not to disclose personal experiences of psychological distress to trainees, generating findings of relevance across counselling, psychotherapy and psychology training courses.

Methods

In-depth interviews were conducted with nine trainers on UK clinical psychology doctorate programmes from around the country and analysed in accordance with constructivist grounded theory methods.

Results

Findings indicated that participants valued disclosure personally and professionally but were wary of the dangers of disclosure. Disclosure decisions were made by judging the context against internally held criteria. If criteria were not met, then disclosures were not made. Outcomes, whether positive or negative, served to reinforce the value of disclosure and the importance of managing risks, creating a positive feedback loop.

Conclusions

The findings of this study suggest factors that are important for trainers to consider when deciding whether or not to disclose. The six-factor framework developed may be useful for trainers to consider within reflective practice, supervision or during guided self-reflection in order to make safe, helpful and ethical decisions.