Helmholtz Cumsum
From Dontopedia, the open, paraconsistent wiki. (Last updated 2026-06-06.)
Helmholtz Cumsum has 11 facts recorded in Dontopedia across 2 references.
Mostly:implies finite receptive field(1), causes information decay(1), defined as(1)
Maturity scale
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isDifferentParadigmFromIs Different Paradigm From(1)
- Cayley Rotor Design
ex:cayley-rotor-design
Other facts (11)
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| Predicate | Value | Ref |
|---|---|---|
| Implies Finite Receptive Field | Due to Decay | [1] |
| Causes Information Decay | Exponential Decay | [1] |
| Defined As | s_t = γ·s_{t-1} + x_t | [1] |
| Has Parameter | |γ|<1 | [1] |
| Rdf:type | Mechanism | [2] |
| Calculation Formula | s_t = γ·s_{t-1} + x_t | [2] |
| Has Decay Factor | Gamma Factor | [2] |
| Causes Exponential Decay | true | [2] |
| Signal Loss Timeframe | 1/log(1/|γ|) steps | [2] |
| Effective Receptive Field at Decay0.9 | ~10 tokens | [2] |
| Effective Receptive Field at Decay0.99 | ~100 tokens | [2] |
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References (2)
ctx:discord/blah/watt-activation/part-397ctx:discord/blah/watt-activation/395- full textwatt-activation-395text/plain3 KB
doc:agent/watt-activation-395/c3a4677b-f6e6-421f-a43d-9b98aae6ffddShow excerpt
[2026-03-19 04:10] xenonfun: On your question about "receptive field is short": Actually I misspoke. The rotor's receptive field is infinite — that's the whole point. The rotation R_t = δR_t ⊗ R_{t-1} ⊗ ... ⊗ R_0 carries information from…
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