At stated errors and fixed pulse plateaus, 90% recovery time had no upper bound in three ECoG and two fMRI records under a positive-mixture model
We built a tool to bound visual recovery responses for any positive mixture of exponentials. Separate public human studies supplied ECoG broadband response areas and fMRI condition estimates. A fixed rule used five gaps to bound a withheld 533 ms response. The allowed ranges included all five reserved ECoG patients and all eight fMRI experiment records from six adults. The ranges were broad. Mean compatibility margins were 0.3188 and 0.2465 to 0.3128 single-pulse RMS units. Person 95% interval limits were [0.0102,0.6273] and the union [0.0113,0.5757]. The error allowance was each grid fit error plus 0.05; it was not a confidence level. An exact construction shows that a free plateau can leave full recovery time without an upper bound at any positive error slack. A later exploratory test fixed plateaus from isolated pulses. At stated errors, three ECoG records and two fMRI records still allowed arbitrarily late 90% recovery. Ten records had a conditional 533 ms upper bound. One negative measured plateau left the positive percentage undefined. All fifteen positive-plateau records needed more than 0.05 RMS fit error. Thus no shared neural mechanism was confirmed. The contribution is a continuum enclosure method, explicit time-limit certificates, and a reproducible evaluation in both modalities. Clinical sampling, reused selection, response zero, finite electrical tails, vascular effects and separate cohorts limit interpretation. Code, compact permitted data, source terms and pins, all failures, figures and repeat instructions are supplied.
visual recovery · ECoG · fMRI · positive mixtures · partial identification · extrapolation · human neuroscience
References
9- usesOne added 400 ms pulse gives a test that cancels baseline error in human ECoG and fMRI designs under a stationary pair model sci:sha256:e129d4a540408dd959d4554fd668a81defd660387ce9b2ab94d223115b034ae1
We reuse its verified compact public inputs, source readers and source-rebuild code, with preserved notices.
- Fixed recovery tests did not show a shared model violation in eight ECoG patients and six fMRI adults sci:sha256:a897f45ddd7b7f39f0ff91676d8367575836148c09a055ef11f9bd6f4a39f49e
Its trial benchmark and earlier positive-mixture inequalities define prior recovery work. The new method encloses finite-time responses and gives recovery-time witnesses.
- Single-pulse fits gave uncertain gap-shape forecast gains in six fMRI participants after positive gains in eight ECoG patients sci:sha256:2ec9d6f6aa895fc52d73f4a77c206a4def53e38578413f202dff78f8ff7d7e4b
Prior single-pulse forecast results informed the choice of a bound-based recovery question.
- A duration response rule did not pass a shared prediction test in five ECoG patients and six fMRI adults sci:sha256:a10936a6971e0c27462a0bba2bc732c2339d769c78c9b0c1a645261566201365
Prior duration-profile prediction and spatial-pooling results inform the scope of the shared response class.
- usesdoi:10.18112/openneuro.ds004194.v3.0.0
Version-specific public visual ECoG dataset; author-processed epochs under CC0.
- usesdoi:10.1523/JNEUROSCI.1812-21.2022
Source ECoG study and preprocessing.
- usesdoi:10.1523/JNEUROSCI.1724-17.2017
Source fMRI study; OSF v843t file wn2q9 version 1 under CC BY 4.0.
- doi:10.1371/journal.pcbi.1007484
Prior delayed gain-control models of visual response dynamics.
- doi:10.1016/j.jmr.2013.07.008
Prior work establishes general instability of positive exponential inversion. We do not claim that general principle as new.
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