( a light survey this week, after putting it off for a decade or so ) :
- - dimension : information-wise differentiated aspect of some quantifiable substrate; grossly synonymous with "rank", "aspect", "degree of freedom", "axis", "characteristic"
- - N-dimensionality : N refers to the number of different aspects needed to describe a datum; usually N is a Natural number ( 0, 1, 2, etc. ); grossly synonymous with "N-scalar", "N-vector", "N-matrix", "N-tensor" because specifically scalars are 0-rank-tensors, vectors are 1-rank-tensors, matrices are 2-rank-tensors, etc.
- - feature : a dimension of data
- - embedding : a set of dimensions used to position a datum
- - intrinsic vs ambient dimensions : "intrinsic" refers to the fundamentally minimum set of dimensions required to position a datum; "ambient" refers to to any ( arbitrarily greater than minimum ) set of dimensions in which a datum is positioned
- - MI / mechanistic interpretability : the name of the concern, when people are running hot macro operations but don't understand the micro operations, and so they loop back to do forensics / epistemology on it
- - RAG / retrieval augmented generation : the general pattern of ( AGENT, RESOURCE ) -> RESULT
- - MCP / model context protocol : in the context of RAG : the name of a particular open-sourced standard protocol, which enables AGENT traversal and manipulation of RESOURCE; AGENTs are on the client-side, RESOURCES are on the server-side
- - rank vs dimension : in the context of TRANSFORMATIONS : where a function is [ a mapping between sets DOMAIN and RANGE ] : "dimension" refers to [ the N-spaceness of either set , whereas "rank" refers to [ the dimension of the RANGE, specifically ]; also see "rank-nullity theory", where KERNEL a.k.a NULL SPACE refers to [ the subset of the DOMAIN which maps to "0" in the RANGE ]
- - SAE / sparse auto encoder : wherein some internal nodes of a cognitive system may have redundant data storage, this refers to forcing-factors applied to encourage specialisation of memory per node