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Mamba & Selective State Spaces

Mamba uses a state-space model whose parameters are selected (gated) by the current input token, letting the model adapt its memory dynamics at each step.

#mamba#selective state space#ssm+12
∑MathIntermediate

State Space Models (SSM)

A State Space Model (SSM) describes a dynamical system using a state vector x(t) that evolves via a first-order matrix differential equation and produces outputs y(t).

#state space
Advanced
Filtering by:
#discretization
#matrix exponential
#controllability
+12
⚙️AlgorithmIntermediate

State Space Reduction

State space reduction shrinks the number of dynamic programming or search states by keeping only the information that truly affects future decisions.

#state space reduction#dynamic programming#equivalence relation+12
⚙️AlgorithmIntermediate

Coordinate Compression

Coordinate compression replaces large, sparse, or arbitrary values with small consecutive integers while preserving relative order.

#coordinate compression#discretization#lower_bound+12