From 9b90df26ffdef3b37a40050062320bda6592dfb6 Mon Sep 17 00:00:00 2001 From: Seyed Yahya Shirazi Date: Sun, 19 Jul 2026 22:16:30 -0700 Subject: [PATCH 1/2] Clarify Table 1; hyperlink documentation refs --- paper.md | 29 ++++++++++++++--------------- 1 file changed, 14 insertions(+), 15 deletions(-) diff --git a/paper.md b/paper.md index e24ce60..5a51c33 100644 --- a/paper.md +++ b/paper.md @@ -72,9 +72,8 @@ It also computes mutual information reduction (MIR) and pairwise mutual informat and the Amari distance [@amari1996new], a relabeling- and scale-invariant unmixing-matrix metric that needs no assignment step. Both implementations were run for AMICA's usual 2000 iterations with Newton off (`do_newton=0`) and otherwise-default parameters (settings transcribed between `pamica`'s JSON and Fortran's native text format). -Newton is disabled here to isolate the algorithm from initialization: with Newton on, independently seeded runs can settle a few under-determined components in different, equally likely optima, though a matched initialization recovers agreement (documentation). -The single-model headline (Table 1) uses an external recording (OpenNeuro ds002718, 70 channels) with a data-adequacy ratio $k\approx153$ ($k$ = frames divided by squared channel count), well past the ~60 threshold where cross-backend agreement plateaus; -the bundled 32-channel sample below ($k\approx30$) gives a consistent Amari distance. +Newton is disabled here to isolate the algorithm from initialization: with Newton on, independently seeded runs can settle a few under-determined components in different, equally likely optima, though a matched initialization recovers agreement ([documentation](https://eeglab.org/pAMICA/guides/validation/)). +The single-model comparison uses a well-determined external recording (OpenNeuro ds002718, $k\approx153$, where $k$ = frames over squared channel count), well past the ~60 threshold where cross-backend agreement plateaus, together with the bundled 32-channel sample ($k\approx30$); Table 1 gives each metric's dataset. Score functions and per-block sufficient statistics are exact to floating-point resolution against the literal Fortran expressions on the bundled sample. A mixture of ICA models is not partition-identifiable, so exact partition parity is the wrong bar for the multi-model case; it is instead assessed by whether the two implementations sample a similar distribution of solutions, across ensembles of 20 runs each (\autoref{fig:ensemble}). @@ -82,17 +81,17 @@ A permutation test finds no evidence that cross-implementation agreement is wors Multi-model log-likelihood distributions still differ slightly at a matched iteration budget (`pamica` needs about twice as many iterations to reach Fortran's mean), so full-likelihood similarity is not yet claimed. -| Regime | Metric | Result (mean) | +| Regime | Metric (dataset) | Result (mean) | |---|---|---| -| Single-model | Log-likelihood gap to Fortran (mean per-sample-channel log-likelihood, $-3.6993$, $k\approx153$) | within ~0.0005 | -| Single-model | Conformity with Fortran | 0.998 ($k\approx153$) / 0.006 (bundled, $k\approx30$) | -| Single-model | Score functions (non-default families) and sufficient statistics | exact to floating-point resolution ($\sim\!10^{-15}$) | -| Multi-model | Single-run magnitude (`pamica`-Fortran; Fortran-Fortran) | 0.65; 0.64 (sd 0.05) / 0.163; 0.174 (sd 0.02) | -| Multi-model | Ensemble similarity, 20 runs each: mean difference, between $-$ within-Fortran (permutation $p$) | $+0.011$ ($p=0.96$) / $-0.011$ ($p>0.999$) | +| Single-model | Log-likelihood gap to Fortran (ds002718, $k\approx153$) | within ~0.0005 of $-3.6993$ | +| Single-model | Hungarian-matched component correlation (ds002718, $k\approx153$) | 0.998 | +| Single-model | Amari distance (bundled 32-channel sample, $k\approx30$) | 0.006 | +| Single-model | Score functions and sufficient statistics (bundled sample) | exact, $\sim\!10^{-15}$ | +| Multi-model | Component correlation, single run: `pamica`-Fortran; Fortran-Fortran (bundled) | 0.65; 0.64 (sd 0.05) | +| Multi-model | Amari distance, single run: `pamica`-Fortran; Fortran-Fortran (bundled) | 0.163; 0.174 (sd 0.02) | +| Multi-model | Ensemble agreement, cross-implementation $-$ within-Fortran, 20 runs each (bundled) | correlation $+0.011$ ($p=0.96$); Amari $-0.011$ ($p>0.999$) | -: Single-model parity (external ds002718, $k\approx153$; Amari and score-function checks on the bundled sample) and -multi-model distributional similarity (bundled sample) of `pamica` with the Fortran reference. All values are means -(sd = standard deviation, shown where relevant) over matched components (single-model) or within/cross-implementation pairs (190/400, multi-model). +: Parity of `pamica` with the Fortran reference. The two single-model conformity metrics use different recordings, hence the two data-adequacy ratios $k$: the correlation headline uses a well-determined external recording ($k\approx153$), while the Amari distance and score-function checks use the bundled 32-channel sample ($k\approx30$). Multi-model agreement is distributional, since a mixture of models is not partition-identifiable; the ensemble row is the mean difference between cross-implementation and within-Fortran agreement, with a run-level permutation $p$-value. Values are means (sd, standard deviation) over matched components or, for multi-model, over within/cross-implementation run pairs (190/400). ![Multi-model solution-ensemble partition-correlation distributions (panel A) and log-likelihood distributions (panel B) for 20 `pamica` and 20 Fortran fits of the sample EEG; dashed lines mark each distribution's mean. The within-Fortran, within-`pamica`, and between-implementation correlation distributions overlap, @@ -103,7 +102,7 @@ All backends converge to the same single-model log-likelihood on real EEG (maxim On Apple Silicon, MLX is the fastest backend and flat with channel count (Table 2); PyTorch-MPS is never a win. Double-precision CUDA is the reproducible NVIDIA path; native Fortran scales with CPU cores and, with enough cores pinned, can beat the GPU on a larger, hotter host, though it does not match Apple's MLX on laptop hardware. -A data-size sweep (documentation) shows cross-backend component agreement rising with frames per channel and plateauing near 0.98 once the decomposition is well-determined, +A data-size sweep ([documentation](https://eeglab.org/pAMICA/guides/validation/)) shows cross-backend component agreement rising with frames per channel and plateauing near 0.98 once the decomposition is well-determined, where two independent double-precision implementations agree at a mean of 0.995; single-precision runs agree with float64 to four to five significant digits, so float64 stays the default for parity. @@ -120,14 +119,14 @@ single-precision runs agree with float64 to four to five significant digits, so : Single-model throughput on real 70-channel EEG (`n_mix`=3, `pdftype`=0, `block_size`=512; warm, minimum of repeated runs). CPU, MPS, and MLX on Apple Silicon; CUDA on a separate NVIDIA RTX 4090 (float32 comparable, ~36 ms). -The two native-Fortran rows are from a separate core-count sweep (documentation) at each backend's plateau; +The two native-Fortran rows are from a separate core-count sweep ([documentation](https://eeglab.org/pAMICA/guides/validation/)) at each backend's plateau; the other CPU rows use platform-default threads and are not core-matched to Fortran. Unlike the correctness comparison, this benchmark uses external data (OpenNeuro ds002718, one subject so far) and specific GPU hardware. The correctness harness never uses synthetic data; the multi-model and score-function checks need no external download (bundled sample only). The full performance tables, per-run Amari-distance detail, data-size sweep, -and step-by-step reproduction commands are in the documentation (). +and step-by-step reproduction commands are in the [documentation](https://eeglab.org/pAMICA/guides/validation/). # State of the field From da53d89eb25863d6009cbeeed3f5a71693dab9d5 Mon Sep 17 00:00:00 2001 From: "github-actions[bot]" Date: Mon, 20 Jul 2026 05:17:29 +0000 Subject: [PATCH 2/2] Rebuild paper.pdf [skip ci] --- paper.pdf | Bin 366742 -> 364532 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/paper.pdf b/paper.pdf index 7a8c0cd18c86416c6cb69d36dd13e7a1a072645f..523ff3a46e990013c074944b5a4b6a35334b3852 100644 GIT binary patch delta 26728 zcmV)JK)b(|u@>~77J#$?L0SPhm!W+FCj>P(F*27xrvwy#wOz|@D?M`FpQq3ZxQF)( zU>ImyR*>2K$=MBNl_1&VN04mt`XP&Cv5L)ZNi7c!1luh(FI6AwP9AX)>EHkUC;SkX zfBC0hV)I18FY+RtT(mS7CFNqHy8PRpzy9af;)NISQh&VhKl6L3l~}^1eR9X-PtyHc 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