Cortical dynamics of icon perception: effects of concreteness and attractiveness.
The 16 matches · 4 of them tie a paragraph to a whole file, not to given lines: weak matches, whose lines are not tinted
- [1] § Materials and methods › Statistical analysis ↔ code/15f-lowlevel-visual-metrics.py, lines 1–40 · score 0.93 · pixel intensities, edge pixels, edge density, luminance variance, icon stimuli, detector
- [2] § Materials and methods › Data Preprocessing ↔ code/12-inverse.py, the whole file · a weak match · score 0.85 · inverse operator, pick_ori, source space, FreeSurfer, ico4, depth
- [3] § Materials and methods › Data Preprocessing ↔ code/15a-RSA-model-diagnostics.py, lines 361–423 · score 0.81 · variance inflation factors, rank transformed, correlation matrix, model RDMs, partial Spearman, multicollinearity
- [4] § Materials and methods › Statistical analysis ↔ code/config_Iconmind.py, lines 45–60 · score 0.81 · 200–300 ms, 150–200 ms, 80–130 ms, 600–1000 ms, 300–600 ms, 150 ms
- [5] § Materials and methods › Data Preprocessing ↔ code/15b-run-RSA.py, lines 97–186 · score 0.77 · temporal radius, inverse epochs, MNE RSA, ROIs, artifact, RDM
- [6] § Materials and methods › Data Preprocessing ↔ code/15b-run-RSA.py, lines 97–186 · score 0.75 · inverse operator, PICK_ORI, FreeSurfer, ico4, depth, loose
- [7] § Results › Concreteness, attractiveness, and interaction effects in icon perception › Concreteness effect (abstract vs. concrete) ↔ code/config_Iconmind.py, lines 45–60 · score 0.74 · 200–300 ms, 150–200 ms, 600–1000 ms, 300–600 ms, 150 ms, 130 ms
- [8] § Materials and methods › Data Preprocessing ↔ code/utils_rsa_models.py, lines 203–218 · score 0.71 · raw grayscale luminance, pixel RDM, vectors, modeled, RSA
- [9] § Results › Concreteness, attractiveness, and interaction effects in icon perception › Priming control (congruency interactions) ↔ code/14e-plot-priming-control-figure.py, lines 1–66 · score 0.71 · attractiveness ANOVA, concreteness ANOVA, 300–600 ms, Priming, TFCE, congruency
- [10] § Results › Low-level visual properties analysis of icon stimuli ↔ code/15f-lowlevel-visual-metrics.py, lines 1–40 · score 0.69 · visual metrics, edge density, Luminance variance, energy, mid, ANOVAs
- [11] § Materials and methods › Data Preprocessing ↔ code/04-reject-ICA.py, the whole file · a weak match · score 0.57 · pass filtered, ICA, ECG, EOG, component, MNE
- [12] § Materials and methods › Statistical analysis ↔ code/15c-RSA-stats.py, lines 1–42 · score 0.55 · model RDM, partial Spearman, Fisher, permutation, transformed, cluster
- [13] § Results › Concreteness, attractiveness, and interaction effects in icon perception › Interaction effect (concreteness × attractiveness) ↔ code/14f-ANOVA-figure.py, lines 852–947 · score 0.53 · interaction windows, 180 ms, unattractive icons, concrete icons, 100 ms, sensor
- [14] § Materials and methods › Data Preprocessing ↔ code/05-remove-bad-trials.py, the whole file · a weak match · score 0.53 · pass filtered, ICA, EOG, artifacts, MNE, channels
- [15] § Materials and methods › Data acquisition ↔ code/05-remove-bad-trials.py, the whole file · a weak match · score 0.51 · band pass filtered, EOG, buttons, channel, MEG
- [16] § Materials and methods › Data Preprocessing ↔ code/utils_rsa_models.py, lines 324–423 · score 0.51 · model RDMs, unfamiliar, 1–7, binary, survey, unattractive
Paper
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The authors' code
Python · 309 lines · 11 KB · no license · 2 matches
- """
- 15f-lowlevel-visual-metrics.py
- Compute low-level visual metrics for each icon stimulus and test whether
- they differ across experimental conditions (Concreteness × Attractiveness).
- Metrics computed per icon:
- 1. Edge density – proportion of edge pixels (Canny detector)
- 2. Luminance variance – variance of grayscale pixel intensities
- 3. Low SF energy – mean log spectral power in the low SF band
- 4. Mid SF energy – mean log spectral power in the mid SF band
- 5. High SF energy – mean log spectral power in the high SF band
- Output directory:
- - results/15f-lowlevel-visual-metrics/lowlevel_visual_metrics.csv
- - results/15f-lowlevel-visual-metrics/lowlevel_visual_metrics_ANOVA.csv
- - results/15f-lowlevel-visual-metrics/lowlevel_visual_metrics.pdf
- - results/15f-lowlevel-visual-metrics/lowlevel_visual_metrics.png
- Related write-up:
- - results/15f-lowlevel-visual-metrics/lowlevel_visual_metrics.md
- """
- import os
- import os.path as op
- import numpy as np
- import pandas as pd
- from PIL import Image
- import matplotlib
- matplotlib.use('Agg')
- import matplotlib.pyplot as plt
- import matplotlib as mpl
- from matplotlib.patches import Patch
- import statsmodels.api as sm
- from statsmodels.formula.api import ols
- from skimage.feature import canny
- from config_Iconmind import stim_folder, stimuli_list_file, results_folder
- output_folder = op.join(results_folder, '15f-lowlevel-visual-metrics')
- # ============================================================
- # 1. Get unique icon list and extract condition labels
- # ============================================================
- stimuli_list = pd.read_csv(stimuli_list_file)
- unique_icons = stimuli_list[stimuli_list['picture_code'] <= 140].copy()
- unique_icons = unique_icons.drop_duplicates(subset='Icon name').reset_index(drop=True)
- def parse_condition(icon_name):
- parts = icon_name.split('_')
- concreteness = 'Concrete' if parts[0] == 'Con' else 'Abstract'
- attractiveness = 'High' if parts[1] == 'ha' else 'Low'
- category = parts[2].rstrip('0123456789')
- return concreteness, attractiveness, category
- unique_icons[['Concreteness', 'Attractiveness', 'Category']] = unique_icons['Icon name'].apply(
- lambda x: pd.Series(parse_condition(x))
- )
- print(f"Unique icons: {len(unique_icons)}")
- print(f"Conditions:\n{unique_icons.groupby(['Concreteness', 'Attractiveness']).size()}")
- # ============================================================
- # 2. Metric computation
- # ============================================================
- def compute_metrics(img_gray):
- """Compute the five low-level visual metrics."""
- metrics = {}
- # Edge density (Canny)
- metrics['Edge density'] = canny(img_gray, sigma=2.0).mean()
- # Luminance variance
- metrics['Luminance variance'] = img_gray.var()
- # Spatial frequency distribution (3 bands via 2D FFT)
- f_shift = np.fft.fftshift(np.fft.fft2(img_gray))
- log_power = np.log1p(np.abs(f_shift) ** 2)
- rows, cols = img_gray.shape
- cy, cx = rows // 2, cols // 2
- Y, X = np.ogrid[:rows, :cols]
- r = np.sqrt((X - cx) ** 2 + (Y - cy) ** 2)
- r_max = min(cy, cx)
- band_edges = np.linspace(0, r_max, 4)
- for i, label in enumerate(['Low SF energy', 'Mid SF energy', 'High SF energy']):
- mask = (r >= band_edges[i]) & (r < band_edges[i + 1])
- metrics[label] = log_power[mask].mean() if mask.sum() > 0 else np.nan
- return metrics
- # ============================================================
- # 3. Main loop over icons
- # ============================================================
- records = []
- for _, row in unique_icons.iterrows():
- icon_name = row['Icon name']
- img_path = op.join(stim_folder, icon_name)
- if not op.exists(img_path):
- print(f" WARNING: missing {icon_name}")
- continue
- img = Image.open(img_path).convert('L')
- img_gray = np.array(img, dtype=np.float64) / 255.0
- m = compute_metrics(img_gray)
- m['Icon name'] = icon_name
- m['Concreteness'] = row['Concreteness']
- m['Attractiveness'] = row['Attractiveness']
- m['Category'] = row['Category']
- records.append(m)
- df_metrics = pd.DataFrame(records)
- print(f"\nComputed metrics for {len(df_metrics)} icons.")
- os.makedirs(output_folder, exist_ok=True)
- csv_path = op.join(output_folder, 'lowlevel_visual_metrics.csv')
- df_metrics.to_csv(csv_path, index=False)
- print(f"Saved metrics to: {csv_path}")
- # ============================================================
- # 4. 2×2 ANOVA (Concreteness × Attractiveness) per metric
- # ============================================================
- metric_cols = [
- 'Edge density', 'Luminance variance',
- 'Low SF energy', 'Mid SF energy', 'High SF energy'
- ]
- anova_results = []
- print("\n" + "=" * 75)
- print("2 × 2 ANOVA: Concreteness × Attractiveness")
- print("=" * 75)
- for metric in metric_cols:
- safe_name = metric.replace(' ', '_')
- df_metrics[safe_name] = df_metrics[metric]
- formula = f'{safe_name} ~ C(Concreteness) * C(Attractiveness)'
- model = ols(formula, data=df_metrics).fit()
- table = sm.stats.anova_lm(model, typ=2)
- ss_total = table['sum_sq'].sum()
- row = {'Metric': metric}
- for effect, label in [('C(Concreteness)', 'Concreteness'),
- ('C(Attractiveness)', 'Attractiveness'),
- ('C(Concreteness):C(Attractiveness)', 'Interaction')]:
- row[f'F_{label}'] = table.loc[effect, 'F']
- row[f'p_{label}'] = table.loc[effect, 'PR(>F)']
- row[f'eta2_{label}'] = table.loc[effect, 'sum_sq'] / ss_total
- anova_results.append(row)
- means = df_metrics.groupby(['Concreteness', 'Attractiveness'])[metric].agg(['mean', 'std'])
- print(f"\n--- {metric} ---")
- print(means.to_string())
- print(f" Concreteness: F = {row['F_Concreteness']:.3f}, p = {row['p_Concreteness']:.4f}, η² = {row['eta2_Concreteness']:.4f}")
- print(f" Attractiveness: F = {row['F_Attractiveness']:.3f}, p = {row['p_Attractiveness']:.4f}, η² = {row['eta2_Attractiveness']:.4f}")
- print(f" Interaction: F = {row['F_Interaction']:.3f}, p = {row['p_Interaction']:.4f}, η² = {row['eta2_Interaction']:.4f}")
- df_metrics.drop(columns=[safe_name], inplace=True)
- df_anova = pd.DataFrame(anova_results)
- anova_path = op.join(output_folder, 'lowlevel_visual_metrics_ANOVA.csv')
- df_anova.to_csv(anova_path, index=False)
- print(f"\nSaved ANOVA results to: {anova_path}")
- # ============================================================
- # 5. Publication-quality figure
- # ============================================================
- mpl.rcParams.update({
- 'font.family': 'sans-serif',
- 'font.sans-serif': ['Arial', 'DejaVu Sans'],
- 'font.size': 8,
- 'figure.dpi': 300,
- 'savefig.dpi': 300,
- 'savefig.bbox': 'tight',
- 'pdf.fonttype': 42,
- 'ps.fonttype': 42,
- })
- condition_order = [
- ('Abstract', 'High'),
- ('Abstract', 'Low'),
- ('Concrete', 'High'),
- ('Concrete', 'Low'),
- ]
- cond_colors = ['#4393c3', '#a8cfe2', '#d6604d', '#f0a992']
- group_positions = [0, 0.35, 0.95, 1.30]
- group_centers = [0.175, 1.125]
- def format_p(p):
- if p < 0.001:
- return '$p$ < .001'
- return f'$p$ = {p:.3f}'.replace('0.', '.')
- def format_anova_line(F_val, p_val, eta2, label):
- stars = ''
- if p_val < 0.001: stars = '***'
- elif p_val < 0.01: stars = '**'
- elif p_val < 0.05: stars = '*'
- if not stars:
- return None
- return f'{label}{stars}: $F$ = {F_val:.1f}, {format_p(p_val)}, η² = {eta2:.3f}'
- fig, axes = plt.subplots(1, 5, figsize=(10.0, 2.8))
- for idx, metric in enumerate(metric_cols):
- ax = axes[idx]
- data_groups = [
- df_metrics[(df_metrics['Concreteness'] == c) &
- (df_metrics['Attractiveness'] == a)][metric].values
- for c, a in condition_order
- ]
- # Violins
- vp = ax.violinplot(data_groups, positions=group_positions,
- showmedians=False, showextrema=False, widths=0.30)
- for i, body in enumerate(vp['bodies']):
- body.set_facecolor(cond_colors[i])
- body.set_edgecolor('none')
- body.set_alpha(0.55)
- # Individual data points (jittered)
- rng = np.random.default_rng(42)
- for i, d in enumerate(data_groups):
- jitter = rng.uniform(-0.06, 0.06, size=len(d))
- ax.scatter(group_positions[i] + jitter, d, s=6, alpha=0.4,
- color=cond_colors[i], edgecolors='none', zorder=2)
- # Box summary (IQR + median)
- for i, d in enumerate(data_groups):
- q1, med, q3 = np.percentile(d, [25, 50, 75])
- ax.vlines(group_positions[i], q1, q3, color='black', linewidth=1.5, zorder=4)
- ax.scatter(group_positions[i], med, color='white', edgecolors='black',
- s=18, zorder=5, linewidths=0.8)
- ax.set_title(metric, fontsize=8.5, fontweight='bold', pad=6)
- # ANOVA annotation below title
- row = df_anova[df_anova['Metric'] == metric].iloc[0]
- ann_parts = []
- for effect, short in [('Concreteness', 'Conc'), ('Attractiveness', 'Attr'),
- ('Interaction', 'Int')]:
- line = format_anova_line(row[f'F_{effect}'], row[f'p_{effect}'],
- row[f'eta2_{effect}'], short)
- if line:
- ann_parts.append(line)
- ann = '\n'.join(ann_parts) if ann_parts else 'n.s.'
- ann_color = '#222222' if ann_parts else '#aaaaaa'
- ax.text(0.03, 0.97, ann, transform=ax.transAxes, fontsize=5.5,
- verticalalignment='top', color=ann_color, style='italic',
- linespacing=1.4)
- ax.set_xticks(group_centers)
- ax.set_xticklabels(['Abstract', 'Concrete'], fontsize=7.5)
- ax.set_xlim(-0.25, 1.55)
- ax.spines['top'].set_visible(False)
- ax.spines['right'].set_visible(False)
- ax.tick_params(axis='x', length=0)
- ax.tick_params(axis='y', labelsize=7)
- # Shared legend
- legend_elements = [
- Patch(facecolor=cond_colors[0], alpha=0.7, label='High attractiveness'),
- Patch(facecolor=cond_colors[1], alpha=0.7, label='Low attractiveness'),
- ]
- fig.legend(handles=legend_elements, loc='lower center', ncol=2, frameon=False,
- fontsize=7.5, bbox_to_anchor=(0.5, -0.02))
- fig.tight_layout(w_pad=1.5, rect=[0, 0.06, 1, 1])
- fig_path = op.join(output_folder, 'lowlevel_visual_metrics.pdf')
- fig.savefig(fig_path)
- fig_path_png = fig_path.replace('.pdf', '.png')
- fig.savefig(fig_path_png)
- plt.close(fig)
- print(f"\nSaved figure to: {fig_path}")
- # ============================================================
- # 6. Print summary
- # ============================================================
- print("\n" + "=" * 75)
- print("SUMMARY")
- print("=" * 75)
- any_sig = False
- for _, row in df_anova.iterrows():
- for effect in ['Concreteness', 'Attractiveness', 'Interaction']:
- if row[f'p_{effect}'] < 0.05:
- any_sig = True
- print(f" SIGNIFICANT: {row['Metric']} – {effect}: "
- f"F = {row[f'F_{effect}']:.2f}, p = {row[f'p_{effect}']:.4f}, "
- f"η² = {row[f'eta2_{effect}']:.4f}")
- if not any_sig:
- print(" No significant effects found (all p > .05)")
- print("\nSCRIPT 23 FINISHED")
- print("=" * 75)
15f-lowlevel-visual-metrics.py at commit 1fd951d, no license · at the source
Overview
- Faculty of Information Technology, University of Jyväskylä, Mattilanniemi 2, P.O. Box 35, FI-40014, Jyväskylä, Finland
- School of Biomedical Engineering, Faculty of Medicine, Dalian University of Technology, Dalian 116024, Liaoning Province, China
- Centre for Interdisciplinary Brain Research, University of Jyväskylä, Mattilanniemi 6, FI-40014, Jyväskylä, Finland
- Department of Psychology, University of Jyväskylä, PO BOX 35, Mattilanniemi 6, FI-40014, Jyväskylä, Finland
- Key Laboratory of Social Computing and Cognitive Intelligence, Dalian University of Technology, Ministry of Education, Dalian 116024, Liaoning Province, China
- School of Software Engineering, Dalian University, Dalian 116622, Liaoning Province, China
Abstract
Icons, as simplified visual symbols, play a key role in visual communication, yet little neuroimaging research has addressed how icons are represented in the brain. We investigated how concreteness and attractiveness modulate the spatiotemporal dynamics of icon processing in a 2 × 2 factorial design in 35 adults using magnetoencephalography. Source-level event-related field (ERF) analysis and representational similarity analysis (RSA) were used to characterize neural responses, with partial RSA isolating each feature’s unique contribution after controlling for low-level visual similarity. ERF results showed that concreteness exerted a robust and sustained influence on neural dynamics, with concrete icons eliciting stronger responses than abstract ones from 90 to 1,000 ms, emerging in bilateral occipital cortices and extending to occipitotemporal, temporal, and parietal regions. RSA confirmed concreteness as a representational dimension across processing stages. Attractiveness showed an early but transient effect in occipital and ventral occipitotemporal regions (80 to 130 ms), though this did not survive RSA after controlling for low-level visual property models. A concreteness × attractiveness interaction modulated early occipital and later parietal processing (100 to 185 ms), indicating these features do not operate independently. Our results reveal that semantic content outweighs esthetic appeal in shaping the neural representation of icons.
Reproduced under the paper's license (CC BY), from the paper cited above.
Repository
Its files are read in the Code ↔ Paper reader above, with 16 matches between paragraphs and lines of code.
weiyongxu/iconmind-analysis
1fd951d22b7098f0f1dea320e3a9382ac0c0d45b, 21 May 2026Availability: 1 check, the latest on 27 September 2026: the link answers
- 27 September 2026: the link answers
33 files
- code/
00-maxfilter.py , Python, 56 lines - code/
01a-extract-events.py , Python, 39 lines - code/
01b-inspect-events.py , Python, 103 lines - code/
01c-plot-behavior.py , Python, 135 lines - code/
02-ICA-threshold.py , Python, 32 lines - code/
03-do-ICA.py , Python, 29 lines - code/
04-reject-ICA.py , Python, 57 lines, 1 match - code/
05-remove-bad-trials.py , Python, 39 lines, 2 matches - code/
06-epoch.py , Python, 39 lines - code/
07-evoked.py , Python, 112 lines - code/
08-plot-GA_evoked.py , Python, 76 lines - code/
09-coreg.py , Python, 47 lines - code/
10-forward.py , Python, 22 lines - code/
11-cov.py , Python, 17 lines - code/
12-inverse.py , Python, 50 lines, 1 match - code/
13-plot-GA-source.py , Python, 69 lines - code/
14a-stats-ANOVA-2way.py , Python, 129 lines - code/
14b-check-ANOVA-2way-res , Python, 219 linesults.py - code/
14c-interaction-decompos , Python, 236 linesition.py - code/
14d-stats-ANOVA-priming- , Python, 214 linescontrol.py - code/
14e-plot-priming-control , Python, 506 lines, 1 match-figure.py - code/
14f-ANOVA-figure.py , Python, 1,019 lines, 1 match - code/
15a-RSA-model-diagnostic , Python, 423 lines, 1 matchs.py - code/
15b-run-RSA.py , Python, 198 lines, 2 matches - code/
15c-RSA-stats.py , Python, 150 lines, 1 match - code/
15d-RSA-figures.py , Python, 729 lines - code/
15e-RSA-descriptive-stat , Python, 294 liness.py - code/
15f-lowlevel-visual-metr , Python, 309 lines, 2 matchesics.py - code/
config_Iconmind.py , Python, 84 lines, 2 matches - code/
utils_anova.py , Python, 315 lines - code/
utils_roi_labels.py , Python, 83 lines - code/
utils_rsa_models.py , Python, 423 lines, 2 matches - README.md, Text, 5 lines
The paper's code and data availability statement is in the Data section.
Tracing map
Proposed by the machine: these links were found in the paper and verified at the source, without human review. The map will receive a Zenodo DOI once one of the paper's authors has validated it with their ORCID.
What the map holds:
- 1 repository of the authors' code, each at its verified commit, with its license and how the link was found in the paper;
- 32 scripts, each with its path and the digest of its content;
- 16 matches between paragraphs of the paper and lines of the code (method lexical-v1);
- neither the text of the paper nor the code itself.
Its JSON (tracing-map.json) is deposited on Zenodo with its DOI once the map is validated.
Data
No dataset and no data link were found in the paper.
Data availability
The experimental paradigm, data preprocessing, and data analysis scripts are freely available at the following Github repository: https://
Reproduced under the paper's license (CC BY), from the paper cited above.
Versions
The history of this record: each version stored by the harvester or made by a correction of its authors or of the maintainers of its code, and what changed in its facts. The texts of the paper (its abstract, its availability statements) are not part of it; versions that changed only those are not listed.
Version 1, 27 September 2026: the first record
Recorded: type, language, journal, volume, issue, pages, dates, 6 authors, 5 keywords, 11 MeSH terms, 3 funders, 93 references.
Cite
This paper
Zheng, J., Xu, W., Silvennoinen, J., Cong, F., Parviainen, T., & Kujala, T. (2026). Cortical dynamics of icon perception: effects of concreteness and attractiveness. Cerebral cortex (New York, N.Y. : 1991), 36(6), bhag075. https://
BibTeX
@article{zheng2026cortic
author = {Zheng, Jiaqi and Xu, Weiyong and Silvennoinen, Johanna and Cong, Fengyu and Parviainen, Tiina and Kujala, Tuomo},
title = {{Cortical dynamics of icon perception: effects of concreteness and attractiveness}},
journal = {Cerebral cortex (New York, N.Y. : 1991)},
year = {2026},
month = jun,
volume = {36},
number = {6},
pages = {bhag075},
publisher = {Oxford University Press},
issn = {1047-3211},
doi = {10.1093/
url = {https://
pmid = {42330320},
pmcid = {PMC13286001}
}
RIS
TY - JOUR
AU - Zheng, Jiaqi
AU - Xu, Weiyong
AU - Silvennoinen, Johanna
AU - Cong, Fengyu
AU - Parviainen, Tiina
AU - Kujala, Tuomo
TI - Cortical dynamics of icon perception: effects of concreteness and attractiveness
T2 - Cerebral cortex (New York, N.Y. : 1991)
J2 - Cereb Cortex
PY - 2026
DA - 2026/
VL - 36
IS - 6
SP - bhag075
SN - 1047-3211
PB - Oxford University Press
DO - 10.1093/
UR - https://
LA - en
ER -
CSL-JSON
{
"id": "10.1093/
"type": "article-journal",
"title": "Cortical dynamics of icon perception: effects of concreteness and attractiveness",
"container-title": "Cerebral cortex (New York, N.Y. : 1991)",
"author": [
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"family": "Zheng",
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{
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{
"family": "Cong",
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{
"family": "Parviainen",
"given": "Tiina"
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{
"family": "Kujala",
"given": "Tuomo"
}
],
"container-title-short":
"volume": "36",
"issue": "6",
"page": "bhag075",
"DOI": "10.1093/
"PMID": "42330320",
"PMCID": "PMC13286001",
"ISSN": "1047-3211",
"publisher": "Oxford University Press",
"URL": "https://
"language": "en",
"issued": {
"date-parts": [
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- [6] doi:10.1016/j.neuroimage.2026.122051 [code]
- Determining hemispheric language dominance from MEG beta-power modulations: Concordance with fMRI.Journal: NeuroImageIn common: MNE-Python, Pillow, scikit-learn, 4 other tools, MEG, cognitive, 4 references
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- [8] doi:10.7554/elife.107933 [code]
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- Fixation duration on natural scenes is explained by memory encoding not processing demand.Journal: Nature neuroscienceIn common: MNE-Python, scikit-image, Pillow, 6 other tools, MEG, cognitive, 1 reference
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- Ocular Speech Tracking Persists in Blindness, but Its Dynamics and Oculo-Cerebral Connectivity Depend on Visual Status.Journal: eNeuroIn common: MNE-Python, Pillow, statsmodels, 5 other tools, MEG, cognitive, 2 references
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