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| # Locked standard continual-learning evaluation | |
| The immutable protocol and all executed Python sources are in | |
| `final_standard/source/`; their SHA-256 values are bound by | |
| `final_standard/source_lock.json`. The lock was written on 2026-10-08 at | |
| 20:18:11 UTC, before the first final worker loaded official test data. The | |
| manifest SHA-256 is | |
| `af4ac3635681ac02faa2b36181830f45654c3f9549601258e2fe4aa879308825`. | |
| The 260 jobs were launched at 20:18:38 UTC. | |
| There are thirteen methods, ten paired fresh seeds, and two datasets (MNIST and | |
| Fashion-MNIST). Every run has five two-class arrivals. The class permutation is | |
| fixed by the run seed and shared across methods. Output labels are remapped to | |
| arrival rank, but inference always predicts from all ten outputs without a task | |
| ID or a seen-class mask. The training procedure knows the arrival boundaries. | |
| This is a class-incremental benchmark with bounded streams, not a task-free, | |
| unbounded online deployment study. | |
| The globally fixed source partition is 48,000 fitting images, 6,000 validation | |
| images, and 6,000 independent calibration images. The validation partition is | |
| unused by final learners. Its earlier proxy subdivision supported development; | |
| the real calibration images were excluded from every development fit and model | |
| selection. Ordinary baselines may fit all 54,000 nonvalidation images, while | |
| certificate methods spend 6,000 of the same total observed-image allowance on | |
| calibration and fit only 48,000. The no-controller center ablation uses the same | |
| 48,000 fitting images as the scalar center, isolating that controller. No | |
| baseline-trained representation is reused by a certificate method. | |
| | Method | Fixed final configuration | Main scope | | |
| |---|---|---| | |
| | SGD | Shared 784–128–128–10 ReLU MLP, SGD 0.1, two epochs per arrival | No memory | | |
| | ER | Same MLP; concatenated current/replay cross-entropy | Reservoir over presentation events | | |
| | DER++ | Current CE + 0.5 all-logit MSE + 0.5 replay CE | Two independent replay draws; pre-update targets | | |
| | ER-ACE | Reference scale-10 cosine head and asymmetric current loss; two epochs | Strong replay baseline | | |
| | ER-ACE, four epochs | Same loss/model, four epochs | Explicitly compute-relaxed control | | |
| | Cumulative RFF ridge | 512 fixed RFF, bandwidth 0.5, ridge 0.001 | Global sufficient statistics; no feature learning | | |
| | Global prototypes | 128 MiniBatchKMeans prototypes/class on normalized pixels | Fits all 54,000 baseline images | | |
| | Scalar center | Same RFF map, projected ridge center, 64 added geometry directions, risk 0.1 | Preserves possibly inaccurate acquired center predictions | | |
| | Center without scalar controller | Same fitting data, feature map, center and geometry update | No retention certificate | | |
| | Immutable prototype regions | 128 prototypes/class, risk 0.1, one mutable MLP outside earlier gates | Atomic two-class admission; refused regions stay unprotected | | |
| | Fresh renewal, risk 0.2 | Cumulative 128 prototypes/class; 30 fresh class tests | Deploy only fully accepted prefixes | | |
| | Fresh renewal, risk 0.1 | Same learner and archive | Predeclared evidence-resolution variant | | |
| | Stagewise joint reference | Reinitialized MLP trained for two epochs on all seen data each stage | Explicit noncontinual access and memory exception | | |
| All methods except the joint reference have a 6 MiB persistent payload budget. | |
| This includes model and feature-map tensors, replay/prototype/Gram/basis state, | |
| active certificates and ledgers, retained calibration archives, source IDs, and | |
| serialized non-tensor checkpoint metadata. Reservoirs are charged at allocated | |
| capacity, rather than their currently filled size. The joint reference's | |
| retained raw images, labels, and IDs are counted and its budget exception is | |
| explicit. Transient fitting buffers, parameter gradients, Python allocator | |
| overhead, and evaluator copies are not called persistent payload; separate | |
| per-process peak RSS captures their memory effect. | |
| Renewal retains one shared prototype array and an accepted-prefix index. Its | |
| unused calibration archive is released one arriving class pair at a time, | |
| partitioned into disjoint future-stage blocks, and counted. A rejected proposal | |
| does not replace the accepted predictor. Before any acceptance, zero logits are | |
| an explicit unprotected fallback. The ordinary global-prototype baseline fits | |
| more images and therefore does **not** use identical learned prototypes. Each | |
| renewal run also saves unconditional predictions from its own exact proposal, | |
| which supplies the identical-prototype controller diagnostic without another | |
| fitting run. | |
| The statistical failure allocation is 0.05 **per seeded run and per policy**, | |
| paid across every predeclared attempt, including failed acquisitions. It is not | |
| a simultaneous 95% claim across twenty dataset/seed repetitions or across | |
| policies. All policy results are reported. Conditional population statements | |
| assume independent representative class-conditional calibration evidence; data | |
| provenance establishes partition separation, not the absence of benchmark-to- | |
| deployment distribution shift. Renewal's statement concerns each accepted | |
| checkpoint and does not bound ever-error on a fixed input over time. | |
| Saved predictions support full class and task matrices, final micro/macro | |
| accuracy, mean acquisition accuracy, average incremental accuracy, backward | |
| transfer, and signed forgetting. Backward transfer averages final-minus- | |
| acquisition accuracy on the first four tasks. Forgetting averages the largest | |
| previous post-acquisition accuracy minus final accuracy on those tasks, so an | |
| improvement may give a negative value. Forward transfer compares a task's | |
| accuracy immediately before its arrival with the same model's initialization | |
| accuracy. Intransigence compares with the paired stagewise joint reference. | |
| Mean, sample standard deviation, and Student-t 95% intervals are reported across | |
| the ten paired seeds; paired-difference intervals use matching seeds. These are | |
| descriptive comparisons without multiplicity-adjusted superiority claims. | |
| Full ten-way softmax ECE uses fifteen equal-width confidence bins and no fitted | |
| temperature. Prototype logits have an arbitrary declared scale of four and | |
| ER-ACE a cosine scale of ten, so calibration metrics compare those output | |
| conventions rather than claiming calibrated posterior models. NLL and Brier | |
| are a separately hashed **post-lock descriptive analysis** requested after | |
| launch, implemented by `analyze_nll_brier.py`; they cannot influence fitting or | |
| model selection. | |
| Each worker uses one PyTorch/BLAS thread in its own process. Four synthetic | |
| resource-probe processes used 1,962,400 KiB in summed peak RSS, below the 6 GiB | |
| admission threshold. Training workers may contend, so their wall times are | |
| labeled accordingly. After all workers exit, serial batch-one and batch-128 | |
| inference measurements use three warmups and twenty-one fixed-checkpoint trials. | |
| Reported arithmetic counts are component estimates: dense neural multiply/adds, | |
| RFF products, ridge products/solves, covariance products, and dominant KMeans | |
| mini-batch distance products. Transcendentals, loss/norm operations, QR/SVD/eigh | |
| implementation details, KMeans++ initialization, and bookkeeping are excluded | |
| explicitly. Solver calls, fitting examples, optimizer steps, and measured times | |
| provide additional cost evidence; these estimates are not advertised as full | |
| hardware FLOP measurements. | |
| The benchmark is executed from the captured source with: | |
| ```bash | |
| python research/omega/experiments/final_standard/source/run_final.py \ | |
| --output-dir research/omega/experiments/final_standard \ | |
| --data-root research/omega/experiments/data \ | |
| --execute-locked --workers 4 | |
| ``` | |
| Existing completed or failed captures are preserved; the runner does not | |
| silently overwrite or retry them. For a fresh reproduction, use | |
| `reproduce_final.py --captured-root <capture> --output-dir <fresh> --data-root | |
| <data> --workers 4`. That wrapper verifies source, environment, and archive | |
| digests; copies only `source/` and `source_lock.json`; and runs the unchanged | |
| captured implementation into fresh directories. It never duplicates or | |
| overwrites captured prediction/state evidence. The original lock-creation | |
| helper assumes the development directory layout, so it is not used by this | |
| portable reproduction route. The downloaded archive hashes and fixed | |
| partition-ID files remain part of data provenance. Failures, if any, remain | |
| visible in final aggregation. | |