Attractive and Repulsive Pattern Control in Sequence Generation
- URL: http://arxiv.org/abs/2606.24911v1
- Date: Fri, 19 Jun 2026 10:20:58 GMT
- Title: Attractive and Repulsive Pattern Control in Sequence Generation
- Abstract summary: This paper introduces signed pattern control for variable-order Markov generation with BP-Regular sampling.<n>A weighted recurrence automaton computes an activation R for a chosen family of target patterns.<n>Negative coupling makes the target patterns costly during sampling; positive coupling rewards the same patterns and turns them into controlled attractors.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Variable-order Markov models preserve local symbolic syntax by adapting context length, but long continuations can enter recurring high-order "tunnels": repeated suffixes, locally periodic passages, or copied fragments longer than the formal Markov order. This paper introduces signed pattern control for variable-order Markov generation with BP-Regular sampling. A weighted recurrence automaton computes an activation R for a chosen family of target patterns, and belief propagation samples exactly from P_beta(x) proportional to P_0(x) exp(beta R(x)). Negative coupling makes the target patterns costly during sampling; positive coupling rewards the same patterns and turns them into controlled attractors. The target family may be mined online from overactive generated material, supplied by a score or style vocabulary, or designed as an experimental probe. The main experiments use the online homeostatic case, choosing patterns that become overactive in the sampling history. On six duration-bearing monophonic sources, including Bach and Telemann material, the negative branch reduces generated 8-gram self-reuse, increases the effective number of generated 8-grams, and increases coverage of training-supported 4-gram contexts while preserving substantial lower-order support. A pitch-sequence replication on five Weimar Jazz Database solos gives the same anti-reuse signature outside Baroque material. The same signed mechanism also provides a positive branch for probing attractor basins, phase transitions, and hysteresis in the underlying variable-order model.
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