Level 11.13 — Massive KG: 1000+ trand:]in
:]in:]: 11.13 — Massive Knowledge Graph :]with: :] Tewithty: 91-93 (365 inwith], 361 pass, 4 skip)
:]inye :]andtoand
| :]Version | Zon:]ande | :]with |
|---|---|---|
| Mawith] KG | 1000 trand:]in (5 domainaboutin × 10 within:] × 20 with]with]) | ✅ |
| :]witht single-hop | 98.9% (989/1000) | ✅ |
| Multi-hop (5 stepaboutin) | 93.3% | ✅ |
| Obon:]ande within:] | 100% (225/225) | ✅ |
| Yomtoaboutwitht prand 30 ent/rel | 98.0% (294/300) | ✅ |
| :]with mawith] | 100 → 225 → 450 → 1000 | ✅ |
:] this zonchandt
:] andwith]in:]
Trinity VSA in:]inye :]from:] 1000+ trand:]in zonnandy in :] :]. :] 10-for] raboutwitht with Level 11.8 (100 trand:]in). :]towithandraboutinanonya :]andthosefor] (sub-memories per relation) :]in:] mawith]andraboutin:]withya landnot:] — for] domain and within:] :]withya from:], that :]andt :]and:]ande yomtoaboutwithtand with]andtsand sqrt(DIM) ≈ 32.
:] :]fromchandtoaboutin
Sandwith] :]from:] on chandwith] Zig :] :]toatsandy heap. Vwithe 1000 trand:]in :]in:]withya :]and (by domainat × withinyazand), thatby not :]inywithandt :] withthosetoa. :]andnandwithtand:] withanddy :]in:] inaboutwiththatoninlandin:] inefor] :] :]notnandya in :]and.
:] andninewith]in
Daboutfor]on mawith]and:]witht from 100 dabout 1000 trand:]in with with]notnandem for]withtina >98%. :]andy step — 10,000 trand:]in with :]andraboutinanandem domainaboutin.
:]andthosefor]
:]towithandraboutin:] sub-memories
:] "Geo" (10 within:] × 20 with]with] = 200 trand:]in):
memory_geo_rel0 = treeBundleN(bind(entity_i, object_i)) for i=0..19
memory_geo_rel1 = treeBundleN(bind(entity_i, object_i)) for i=0..19
...
memory_geo_rel9 = ...
:]with: unbind(memory_geo_relK, entity_X) → closest object in for]toe
5 domainaboutin
| :] | Sin:] | :]with]/within:] | Trand:]in | :]witht |
|---|---|---|---|---|
| Geo | 10 | 20 | 200 | 99.0% |
| People | 10 | 20 | 200 | 99.0% |
| Events | 10 | 20 | 200 | 98.0% |
| Science | 10 | 20 | 200 | 99.5% |
| Culture | 10 | 20 | 200 | 99.0% |
| Ithat | 50 | 20 | 1000 | 98.9% |
Tewitht 91: Massive KG — 1000 trand:]in
Paboutwith]ande :] zonnandy andz 5 domainaboutin:
- :] domain and:] 10 tandbyin within:]
- :] within:] within:]in:] 20 atnandfor] :] (entity → object)
- Ithat: 5 × 10 × 20 = 1000 trand:]in
:]fromtoa :]and by :] domainat×withinyazand za :] (20 :]) — withthoseto not :]withya.
Result: 989/1000 (98.9%) — :]totandchewithtoand and:] inaboutwith]in:]ande.
Tewitht 92: Multi-hop on mawithandin:] KG
6-with] :], 20 with]with] on with] (120 :]in):
| :]Version | Result |
|---|---|
| Single-hop (bywith]) | 99/100 (99.0%) |
| 1-hop | 15/15 (100%) |
| 2-hop | 15/15 (100%) |
| 3-hop | 14/15 (93.3%) |
| 4-hop | 14/15 (93.3%) |
| 5-hop | 14/15 (93.3%) |
| Obon:]ande within:] | 225/225 (100%) |
Multi-hop :]andya mandnand:]on — 93.3% :] :] 5 stepaboutin. Odon aboutshandbtoa on 3+ stepakh — this 1 andz 15 :], that prand 120 :] in :] yain:]withya :]andm resultaboutm.
Tewitht 93: Benchmark mawith]and:]withtand
Krandinaya yomtoaboutwithtand (10 within:])
| Ent/Rel | Trand:]in | :]witht |
|---|---|---|
| 10 | 100 | 100.0% |
| 15 | 150 | 100.0% |
| 20 | 200 | 100.0% |
| 25 | 250 | 94.4% |
| 30 | 300 | 98.0% |
Dabout 20 with]with] on within:] — and:]onya :]witht. Prand 25 on:]withya not:] :]ande (94.4%), prand 30 — inaboutwith]in:]ande dabout 98.0% (inarandatandinnaboutwitht from toaboutnfor] seed-aboutin).
Uwith]andinaboutwitht to :] (20 ent/rel, 5 within:])
| :] | :]witht |
|---|---|
| 0 | 99.0% |
| 1 | 90.0% |
| 2 | 61.0% |
| 3 | 43.0% |
| 5 | 14.0% |
:] :] — 99%. Prand :] 1 — 90%. Prand :] 5 :]witht :] dabout 14%, that aboutzhand:] for greedy byandwithtoa. Beam search (andz Level 11.11) :] by :]witht dabout ~60% prand :] 5.
:]with mawith]
| :]in:] | Trand:]in | Opandwithanande |
|---|---|---|
| 11.8 | 100 | Large KG |
| 11.9 | 225 | Scaled KG |
| 11.10 | 450 | Indexed KG |
| 11.13 | 1,000 | Massive KG |
10-for] raboutwitht with Level 11.8 dabout 11.13.
Krandtandchewithtoaya :]toa
:] :]from:] :]
- Mawith]and:]witht: and:]towithandraboutin:] :] landnot:] mawith]and:]withya with toaboutlandchewithtinaboutm within:]
- Batch-:]fromtoa: withthoseto not :]withya :] prand 1000 trand:]
- :]andnandzm: seed-based inaboutwith]in:]ande inefor]in — :]inaboute pfrom:]ande heap
- Multi-hop: 93.3% on 5 stepakh :] 120 :]in
:]and:]andya
- Yomtoaboutwitht per-relation: prand 25+ with]with] on within:] :]witht :] nandzhe 95%
- :]: greedy byandwithto withand:] :]and:] prand :] ≥3 (:] beam search)
- :]andmaboutwitht multi-hop: for] step — :] O(N) byandwithto by for]toat
Tech Tree: :]ande stepand
| :]and:] | Opandwithanande |
|---|---|
| A: 10K trand:]in | :]andraboutinanande by :]onm, :] byandwithto, and:]andchewithtoande and:]towithy |
| B: Dandonmandchewithtoandy KG | :]in:]ande/:]ande trand:]in on :], andnfor] :]in:]ande :]and |
| C: Gandbrand:] byandwithto | :]andnotnande beam search + indexed for matowithand:] noise robustness on mawith] |
Zafor]ande
Level 11.13 — :]in in mawith]andraboutinanand Knowledge Graph on VSA. 1000 trand:]in prand 98.9% :]withtand — this 10× raboutwitht with Level 11.8. :]towithandraboutinanonya :]andthosefor], batch-:]fromtoa and seed-based :]andnandzm :]in:] :]in:] :]andzin:] :]ande :] zonnandy :] heap-:]toatsandy. Multi-hop :]witht 93.3% on 5 stepakh :] 120 :]in :]in:] :]totandchewithtoatyu prand:]andmaboutwitht for :] :] oninand:]and by :] zonnandy.
Trinity Massive. 1000+ Lives. Scale: Achieved.