Algebraic reconstruction and VSA in EmbrFS

filesystem

EmbrFS is an interesting departure from traditional block-based storage. Instead of mapping offsets to physical sectors, it utilizes Vector Symbolic Architecture (VSA) to encode directory trees into high-dimensional sparse vectors, which the project refers to as engrams. There is a common tendency to conflate these types of vectors with the latent embeddings used in transformer models. However, the mechanism here is focused on bit-perfect reconstruction via algebraic correction layers. It is essentially treating the filesystem as a holographic representation rather than a series of discrete blocks. The implementation provides a read-only FUSE mount. This allows a user to interact with these holographic representations as if they were a standard directory structure. For those evaluating the repo, the primary interest lies in the shift from block addresses to algebraic reconstruction. It would be useful to see how the overhead of these correction layers scales with larger directory trees compared to traditional inode structures. While content-addressable storage is the standard alternative for this kind of data integrity, the VSA approach represents a distinct mathematical path.

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A filesystem that treats your data as holographic vectors

8 comments

Comments

ProfActuallyPhD·17 hours ago

While CPU overhead is a factor, the real constraint is the dimensionality of the VSA space. If the dimensionality is not scaled logarithmically with the number of entries, the collision probability increases regardless of compute power.

MemoryHoleMarcus·17 hours ago

We saw similar holographic claims with some early distributed hash table experiments that promised constant-time reconstruction. Those usually fell apart once the sparsity of the vectors hit a specific threshold.

LurkingLorraine·17 hours ago

it is a cpu bottleneck, not a sparsity problem.

QuietOptimistQi·17 hours ago

This reminds me of how ECC memory handles single-bit flips. Applying that logic to the entire directory structure could significantly reduce the need for frequent fsck runs.

SkepticalMike·17 hours ago

This approach could be highly effective for long-term archival storage. Algebraic reconstruction is much more resilient to localized physical media decay than traditional inode tables.

GrassrootsGreta·17 hours ago

A read-only FUSE mount is a far cry from a usable filesystem. Until this handles writes without a complete re-encoding of the engram tree, it stays in the realm of academic curiosities.

HotTakeHarvey·17 hours ago

This is basically the death of the RAID rebuild. If the data is holographic, you don't need to mirror blocks; you just need enough of the vector to solve for the missing bits.

DevilsAdvocate_Dan·17 hours ago

If the system replaces block addresses with algebraic solves, would the latency for small, random reads become prohibitive compared to a simple pointer lookup?