135,083 research outputs found
Modeling Temporal Structure in Music for Emotion Prediction using Pairwise Comparisons
The temporal structure of music is essential for the cognitive processes related to the emotions expressed in music. However, such temporal information is often disregarded in typical Music Information Retrieval modeling tasks of predicting higher-level cognitive or semantic aspects of music such as emotions, genre, and similarity. This paper addresses the specific hypothesis whether temporal information is essential for predicting expressed emotions in music, as a prototypical example of a cognitive aspect of music. We propose to test this hypothesis using a novel processing pipeline: 1) Extracting audio features for each track resulting in a multivariate "feature time series". 2) Using generative models to represent these time series (acquiring a complete track representation). Specifically, we explore the Gaussian Mixture model, Vector Quantization, Autoregressive model, Markov and Hidden Markov models. 3) Utilizing the generative models in a discriminative setting by selecting the Probability Product Kernel as the natural kernel for all considered track representations.
We evaluate the representations using a kernel based model specifically extended to support the robust two-alternative forced choice self-report paradigm, used for eliciting expressed emotions in music. The methods are evaluated using two data sets and show increased predictive performance using temporal information, thus supporting the overall hypothesis
World-sheet dynamics of ZZ branes
We show how non-compact space-time (ZZ branes) emerges as a limit of compact
space-time (FZZT branes) for specific ratios between the square of the boundary
cosmological constant and the bulk cosmological constant in the (2,2m-1)
minimal model coupled to two-dimensional quantum gravity.Comment: 14 page
Holomorphic almost modular forms
Holomorphic almost modular forms are holomorphic functions of the complex
upper half plane which can be approximated arbitrarily well (in a suitable
sense) by modular forms of congruence subgroups of large index in \SL(2,\ZZ).
It is proved that such functions have a rotation-invariant limit distribution
when the argument approaches the real axis. An example for a holomorphic almost
modular form is the logarithm of \prod_{n=1}^\infty (1-\exp(2\pi\i n^2 z)).
The paper is motivated by the author's studies [J. Marklof, Int. Math. Res.
Not. {\bf 39} (2003) 2131-2151] on the connection between almost modular
functions and the distribution of the sequence modulo one
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