Dense Linear Algebra:

- Filter-banks (e.g. compressor / expander); in hearing aids, EQ.
- Basic linear operations for massively-multi-channel arrays (many-channel arrays)
- Dimensionality reduction for control paradigms (e.g. PCA)
- Sensor integration
- SVD

Sparse Linear Algebra:

- Spectral pruning
- Pitch extraction
- Concatenative synthesis?
- Source separation (decomposition of modulation spectra matrix)

Spectral Methods:

- Filtering for many-channel arrays
- High-order FFTs (Modulation spectra)

N-body Methods:

- Group improvisation
- Articulation analysis / reproduction

Structured Grid / Unstructured Grid:

- FEM simulation for geometrical acoustics
- Instrument / waveguide simulations

MapReduce:

- Bayesian parametric modeling for audio analysis (pitch, etc)
- Sinusoidal additive synthesis

Combinatorial Logic:

- Control-signal programming
- Paradigm-properties-affordances exploration
- Enumeration of possible states in a control stream, by analysis meta-data about an OSC interface.
- Analysis for a visual program that would also allow signal feedback

Graph Traversal:

- Music information retrieval
- Concatenative synthesis
- Queries on a graphical program

Dynamic Programming:

- Dynamic time/frequency warp
- Structure analysis

Backtrack Branch/Bound (Global Optimization)

- Filter Design
- Beam forming

Graphical Models:

- Bayesian parametric modeling for audio analysis
- Sensor integration
- Score-following
- Adaptive psychometric testing

Finite State Machine:

- Protocol parsers (Open Sound Control)
- Interactive / adaptive systems