Douglas Eck. A positive-evidence model for classifying rhythmical patterns. Technical Report IDSIA-09-00, Instituto Dalle Molle di studi sull'intelligenza artificiale, Manno, Switzerland, 2000.  Home/Search   Document Details and Download   Summary   Related Articles   Check

....network downbeat inductions to the predictions made by the Povel Essens model mentioned above. This model was chosen due to its success at predicting ease of pattern learning in the same pattern set. A discussion of the model is not in the scope of this paper and readers are referred to [4] and [3] for our views on the model. Network Model and Uncoupled Model Performance Summary 0 5 10 15 20 25 30 35 0 5 10 15 20 25 30 Found Downbeat=33 35 (94 ) Failed To Oscillate Periodically=26 350 (7 ) patterns successes (20 total oscillators) 0 5 10 15 20 25 30 35 0 5 10 15 20 ....

Douglas Eck. A positive-evidence model for classifying rhythmical patterns. Journal of New Music Research, 2001. In press.

....unreasonable to think that an oscillator with good general synchronization dynamics may excel at this task. Second, although only a single oscillator is examined in this study, one of our goals is to use large networks of coupled oscillators for storing and retrieving entire rhythmical patterns (Eck, 1999, 2001a) In this case, group synchrony among many coupled oscillators is vital; without it, a network would be unstable. In previous attempts at performing network learning (Gasser et al. 1999) we noted that a single variable limit cycle oscillator similar to McAuley s and Large s oscillator worked ....

....Povel and Essens (1985) do perform several experiments using these patterns, but the experiments concern pattern learning and recall, not downbeat assignment. For this analysis we compared the oscillator downbeat inductions to the predictions made by the Povel and Essens (1985) P E model. See Eck (2001b) for our treatment of the model. We chose this model because of its success at predicting errors in learning and recall for this pattern set. With P E downbeat predictions as our criterion for success, we report that the Fitzhugh Nagumo oscillator makes correct downbeat predictions for 34 of ....

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Eck, D. (2001b). A positive-evidence model for classifying rhythmical patterns. Journal of New Music Research. In press.

....enough to respond to some notes in the input (those indicating the downbeat) while ignoring all others. Oscillators were fully coupled to one another with a connection strength of .01. This value was found by trial and error, and is similar to the value used in single oscillator simulations (Eck, 2001b) At the start of simulation the 20 oscillators were distributed high on the left hand side of the cubic voltage v isocline. Through simulation it was veri ed that the distribution was broad enough to ensure that the oscillators did not have an initial bias towards any particular downbeat. For ....

....the network downbeat inductions to the predictions made by the Povel Essens model mentioned above. This model was chosen due to its success at predicting ease of pattern learning in the same pattern set. A discussion of the model is not in the scope of this paper and readers are referred to Eck (2001b) and Eck (2001a) for our views on the model. In general the performance of the network was very good. Multiple oscillators locked onto to the most strongly induced downbeat in 33 of 35 patterns (94 ) In patterns 23 and 33 the Povel Essens model predicts that two competing downbeats are ....

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Eck, D. (2001a). A positive-evidence model for classifying rhythmical patterns. Journal of New Music Research. In press.

....Gasser, Eck, and Port (1999) Miller, Scarborough, and Jones (1992) Todd, O Boyle, and Lee (1999) Torras (1985) Dannenberg (1984) Large and Kolen (1994) Large and Jones (1999) McAuley (1995) is signi cant and, due to space considerations, is not summarized here. Readers are referred to Eck (2000a) for a review. For an excellent overview of nonlinear oscillation in general, see Winfree (1980) Two particularly relevant limitcycle oscillator beat induction devices, the Large oscillator (Large Kolen, 1994) and the McAuley oscillator (McAuley, 1995) are brie y described below. Technical ....

....it does respond to input, it does so by ring. Otherwise, the oscillator clings so tightly to the cubic isocline that the perturbing voltages has little or no e ect. This is akin to an integrate and re oscillator with a depolarization phase. For a more detailed treatment of this analysis, see Eck (2000a) Perturbation analyses of three Fitzhugh Nagumo oscillator 3 2 1 0 1 2 3 early none late Location of perturbation ( p to p) period=1000 period=500 period=50 Figure 4: Perturbation analyses are shown for three Fitzhugh Nagumo oscillators. The three oscillators have periods of 1000, ....

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Eck, D. (2000b). A positive-evidence model for classifying rhythmical patterns (Tech. Rep. No. IDSIA-09-00). www.idsia.ch/techrep.html, Galleria 2, 6928 Manno-Lugano, Switzerland: IDSIA.

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Eck, D. (in-press). A positive-evidence model for classifying rhythmical patterns. Journal of New Music Research. Fitzhugh, R. (1961). Impulses and physiological states in theoretical models of nerve membrane. Biophysical Journal, 1, 455-466.

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Douglas Eck. A positive-evidence model for classifying rhythmical patterns. Technical Report IDSIA-09-00, Instituto Dalle Molle di studi sull'intelligenza artificiale, Manno, Switzerland, 2000.

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Douglas Eck. A positive-evidence model for classifying rhythmical patterns. Technical Report IDSIA-09-00, Instituto Dalle Molle di studi sull'intelligenza arti ciale, Manno, Switzerland, 2000.

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Douglas Eck. A positive-evidence model for classifying rhythmical patterns. Technical Report IDSIA-09-00, IDSIA, Lugano, Switzerland, 2000.

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D. Eck. A positive-evidence model for classifying rhythmical patterns. Technical Report IDSIA-0900, IDSIA, Lugano, Switzerland, 2000.

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