A Data-Driven Closed-Loop Control Approach to Drive Neural State Transitions for Mechanistic Insight.
The 11 matches
- [1] § Results › Spatial Separation Between Resting and Sad Mood Induction ↔ analyses/spatial_separation/classification_utils.py, lines 57–118 · score 0.72 · linear discriminant, Gaussian Mixture, cross validation, LDA, classification, SVMs
- [2] § Methods › DSR Model and Control › Statistical Analysis › State Separation ↔ analyses/spatial_separation.ipynb, lines 82–136 · score 0.63 · cubic feature, polynomial feature, sad mood, nonlinear, classifiers, validate
- [3] § Methods › DSR Model and Control › DSR Model Evaluation ↔ src/evaluation.py, lines 129–146 · score 0.61 · Hellinger distance, power spectrum, smoothed, trajectory
- [4] § Methods › DSR Model and Control › Statistical Analysis › State Separation ↔ analyses/spatial_separation/classification_utils.py, lines 168–249 · score 0.56 · Logistic regression, expansions, classifiers, polynomial, validate, linear
- [5] § Results ↔ analyses/analysis_simulation.ipynb, lines 82–151 · score 0.56 · negative log likelihood, Neural activity, generated trajectories, simulated, GMMs, models
- [6] § Methods › DSR Model and Control › Model Training ↔ src/rnn/main.py, lines 13–64 · score 0.55 · teacher forcing, gradient, BPTT, decaying, linear, latent
- [7] § Results › Asymmetric Neural Controllability in rMDD: Reduced Energy Costs and Residual Bias Toward Sad Mood States ↔ analyses/analysis_utils.py, lines 1–47 · score 0.54 · PIns, AIns, DLPFC, HPC, PHG, rMDD
- [8] § Methods › DSR Model and Control › Statistical Analysis › State Separation ↔ analyses/spatial_separation.ipynb, lines 295–364 · score 0.52 · sliced Wasserstein distance, discrepancy, MMD, GMMs
- [9] § Results › DSR Models Learn the Underlying Dynamics ↔ src/evaluation.py, lines 129–146 · score 0.52 · Hellinger distance, power spectra, trajectories
- [10] § Methods › DSR Model and Control › DSR Model Evaluation ↔ analyses/analysis_rnn.ipynb, lines 155–221 · score 0.51 · spectral densities, smoothed, power, transform, reconstruction
- [11] § Results › DSR Models Learn the Underlying Dynamics ↔ analyses/analysis_rnn.ipynb, lines 102–153 · score 0.51 · power spectra, functional connectivity, Lyapunov, cross, correlation, models
Paper
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The authors' code
Python · 268 lines · 12 KB · MIT · 2 matches
- import numpy as np
- from sklearn.discriminant_analysis import LinearDiscriminantAnalysis
- from sklearn.metrics import accuracy_score
- from sklearn.svm import SVC
- from sklearn.model_selection import GridSearchCV, StratifiedKFold
- from sklearn.pipeline import Pipeline
- from sklearn.preprocessing import StandardScaler, PolynomialFeatures
- from sklearn.linear_model import LogisticRegression
- from sklearn.mixture import GaussianMixture
- def random_split(data, classes, train_test_split=0.75):
- np.random.seed(42)
- permutation = np.random.permutation(len(data))
- data = data[permutation]
- classes = classes[permutation]
- split = int(len(data) * train_test_split)
- train_data, test_data = data[:split], data[split:]
- train_classes, test_classes = classes[:split], classes[split:]
- return train_data, train_classes, test_data, test_classes
- def chron_block_split(data, classes, train_test_split=0.75, n_blocks_per_class=5):
- np.random.seed(42)
- unique_classes = np.unique(classes)
- train_data, test_data, train_classes, test_classes = [], [], [], []
- for cls in unique_classes:
- cls_data = data[classes == cls]
- n_samples = len(cls_data)
- block_size = n_samples // n_blocks_per_class
- blocks = [cls_data[i:i + block_size] for i in range(0, n_samples, block_size)]
- np.random.shuffle(blocks)
- split_idx = int(len(blocks) * train_test_split)
- train_blocks = blocks[:split_idx]
- test_blocks = blocks[split_idx:]
- train_data.append(np.concatenate(train_blocks))
- test_data.append(np.concatenate(test_blocks))
- train_classes.append(np.full(len(train_data[-1]), cls))
- test_classes.append(np.full(len(test_data[-1]), cls))
- return np.concatenate(train_data), np.concatenate(train_classes), np.concatenate(test_data), np.concatenate(test_classes)
- def chron_split(data, classes, train_test_split=0.75):
- unique_classes = np.unique(classes)
- train_data, test_data, train_classes, test_classes = [], [], [], []
- for cls in unique_classes:
- cls_data = data[classes == cls]
- split_idx = int(len(cls_data) * train_test_split)
- train_data.append(cls_data[:split_idx])
- test_data.append(cls_data[split_idx:])
- train_classes.append(np.full(split_idx, cls))
- test_classes.append(np.full(len(cls_data) - split_idx, cls))
- return np.concatenate(train_data), np.concatenate(train_classes), np.concatenate(test_data), np.concatenate(test_classes)
- def perform_cross_validation(data: np.array, classes: np.array, classifier: str, train_test_split=0.75, use_chron_split=False, n_poly_features=None) -> (object, float, np.array, np.array, np.array, np.array):
- if not use_chron_split:
- train_data, train_classes, test_data, test_classes = random_split(data, classes, train_test_split)
- else:
- train_data, train_classes, test_data, test_classes = chron_split(data, classes, train_test_split)
- match classifier:
- case "lda":
- pipeline = Pipeline(
- [('scaler', StandardScaler()), ('lda', LinearDiscriminantAnalysis())])
- param_grid = {'lda__solver': ['lsqr', 'eigen'], 'lda__shrinkage': [
- None, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9]}
- grid_search = GridSearchCV(pipeline, param_grid, cv=5, scoring='accuracy')
- grid_search.fit(train_data, train_classes)
- best_params = grid_search.best_params_
- best_clf = grid_search.best_estimator_
- validation_score = grid_search.cv_results_[
- "mean_test_score"][grid_search.best_index_]
- test_score = accuracy_score(test_classes, best_clf.predict(test_data))
- case "svm":
- pipeline = Pipeline([('scaler', StandardScaler()), ('svm', SVC(random_state=42))])
- param_grid = [
- {'svm__C': [0.01, 0.1, 1, 10, 100], 'svm__kernel': [
- 'poly'], 'svm__degree': [2, 3, 4, 5]},
- {'svm__C': [0.01, 0.1, 1, 10, 100], 'svm__kernel': ['rbf']},
- ]
- grid_search = GridSearchCV(pipeline, param_grid, cv=5, scoring='accuracy')
- grid_search.fit(train_data, train_classes)
- best_params = grid_search.best_params_
- best_clf = grid_search.best_estimator_
- validation_score = grid_search.cv_results_[
- "mean_test_score"][grid_search.best_index_]
- test_score = accuracy_score(test_classes, best_clf.predict(test_data))
- case "gmm":
- param_grid = {
- "n_components": [6],#2, 4, 8
- "covariance_type": ["full",]# "diag"
- }
- skf = StratifiedKFold(n_splits=5)
- best_params = None
- validation_score = -np.inf
- def fit_gmms(x, y, n_components, covariance_type):
- gmm0 = GaussianMixture(
- n_components=n_components,
- covariance_type=covariance_type,
- random_state=42
- )
- gmm1 = GaussianMixture(
- n_components=n_components,
- covariance_type=covariance_type,
- random_state=42
- )
- gmm0.fit(x[y == 0])
- gmm1.fit(x[y == 1])
- return gmm0, gmm1
- def predict_gmms(gmm0, gmm1, x):
- score0 = gmm0.score_samples(x)
- score1 = gmm1.score_samples(x)
- return (score1 > score0).astype(int)
- for n_components in param_grid["n_components"]:
- for covariance_type in param_grid["covariance_type"]:
- fold_scores = []
- for train_idx, val_idx in skf.split(train_data, train_classes):
- x_train, x_val = train_data[train_idx], train_data[val_idx]
- y_train, y_val = train_classes[train_idx], train_classes[val_idx]
- scaler = StandardScaler()
- x_train = scaler.fit_transform(x_train)
- x_val = scaler.transform(x_val)
- gmm0, gmm1 = fit_gmms(
- x_train, y_train, n_components, covariance_type)
- preds = predict_gmms(gmm0, gmm1, x_val)
- fold_scores.append(accuracy_score(y_val, preds))
- mean_score = float(np.mean(fold_scores))
- if mean_score > validation_score:
- validation_score = mean_score
- best_params = {
- "n_components": n_components,
- "covariance_type": covariance_type
- }
- scaler = StandardScaler()
- train_data_scaled = scaler.fit_transform(train_data)
- test_data_scaled = scaler.transform(test_data)
- gmm0, gmm1 = fit_gmms(
- train_data_scaled,
- train_classes,
- best_params["n_components"],
- best_params["covariance_type"]
- )
- test_preds = predict_gmms(gmm0, gmm1, test_data_scaled)
- test_score = accuracy_score(test_classes, test_preds)
- best_clf = (scaler, gmm0, gmm1)
- case "poly_logreg":
- # Create polynomial features of degree 3
- poly = PolynomialFeatures(degree=3, include_bias=False)
- train_data_poly_full = poly.fit_transform(train_data)
- test_data_poly_full = poly.transform(test_data)
- # Select subset of features if n_poly_features is specified
- if n_poly_features is not None:
- n_original = train_data.shape[1]
- # First n_original features are linear terms, rest are polynomial
- if n_poly_features <= n_original:
- # Only use some linear terms
- feature_indices = list(range(n_poly_features))
- else:
- # Use all linear terms + some polynomial terms
- n_poly_to_add = n_poly_features - n_original
- feature_indices = list(range(n_original)) + list(range(n_original, n_original + n_poly_to_add))
- train_data_poly = train_data_poly_full[:, feature_indices]
- test_data_poly = test_data_poly_full[:, feature_indices]
- else:
- train_data_poly = train_data_poly_full
- test_data_poly = test_data_poly_full
- # Scale again after polynomial expansion
- scaler = StandardScaler()
- train_data_poly_scaled = scaler.fit_transform(train_data_poly)
- test_data_poly_scaled = scaler.transform(test_data_poly)
- # Use simpler parameter grid with L2 regularization
- param_grid = {
- 'C': [0.001, 0.01, 0.1, 1, 10, 100, 1000],
- 'penalty': ['l2'],
- 'solver': ['lbfgs']
- }
- best_params = None
- validation_score = -np.inf
- # Manual cross-validation
- skf = StratifiedKFold(n_splits=5, shuffle=False)
- for C in param_grid['C']:
- fold_scores = []
- for train_idx, val_idx in skf.split(train_data_poly_scaled, train_classes):
- X_train_fold = train_data_poly_scaled[train_idx]
- X_val_fold = train_data_poly_scaled[val_idx]
- y_train_fold = train_classes[train_idx]
- y_val_fold = train_classes[val_idx]
- clf = LogisticRegression(
- C=C,
- penalty='l2',
- solver='lbfgs',
- max_iter=2000,
- random_state=42
- )
- clf.fit(X_train_fold, y_train_fold)
- fold_scores.append(accuracy_score(y_val_fold, clf.predict(X_val_fold)))
- mean_score = np.mean(fold_scores)
- if mean_score > validation_score:
- validation_score = mean_score
- best_params = {
- 'C': C,
- 'n_poly_features': n_poly_features if n_poly_features else train_data_poly.shape[1],
- 'penalty': 'l2',
- 'solver': 'lbfgs'
- }
- # Train final model with best parameters
- best_clf = LogisticRegression(
- C=best_params['C'],
- penalty='l2',
- solver='lbfgs',
- max_iter=2000,
- random_state=42
- )
- best_clf.fit(train_data_poly_scaled, train_classes)
- # Store the pipeline components for later use
- best_clf = (poly, scaler, best_clf, feature_indices if n_poly_features else None)
- test_score = accuracy_score(test_classes, best_clf[2].predict(test_data_poly_scaled))
- discriminative_scores, most_discriminative_units = get_discriminative_scores(
- train_data, train_classes)
- return best_clf, best_params, validation_score, test_score, discriminative_scores, most_discriminative_units
- def get_discriminative_scores(data, classes):
- means = np.array([data[classes == i].mean(axis=0)
- for i in np.unique(classes)])
- vars = np.array([data[classes == i].var(axis=0)
- for i in np.unique(classes)])
- pairwise_mean_diff = np.abs(
- means[:, np.newaxis, :] - means[np.newaxis, :, :])
- pairwise_var_diff = np.sqrt(
- vars[:, np.newaxis, :] + vars[np.newaxis, :, :])
- discriminative_scores = pairwise_mean_diff / pairwise_var_diff
- discriminative_scores = discriminative_scores / \
- (np.sum(np.abs(discriminative_scores), axis=2, keepdims=True) + 1e-10)
- most_discriminative_units = np.flip(np.unravel_index(np.argsort(
- discriminative_scores, axis=None), discriminative_scores.shape)[-1])
- most_discriminative_units = most_discriminative_units[np.sort(
- np.unique(most_discriminative_units, return_index=True)[1])]
- return discriminative_scores, most_discriminative_units
classification_utils.py at commit 5925379, under MIT · at the source
Overview
- Hector Institute for AI in Psychiatry & Department of Psychiatry and Psychotherapy, Central Institute of Mental Health (CIMH), Medical Faculty Mannheim, Heidelberg University, Heidelberg, Germany
- Interdisciplinary Center for Scientific Computing, Heidelberg University, Heidelberg, Germany
- Department of Clinical Psychology, CIMH, Medical Faculty Mannheim, Heidelberg University, Mannheim, Germany
- Department of Psychology, University of Heidelberg, Heidelberg, Germany
- German Center for Mental Health, DZPG, Partner Site Mannheim‐Heidelberg‐Ulm, Mannheim, Germany
- Department of Psychology, School of Social Sciences, University of Mannheim, Mannheim, Germany
- Hertie Institute for AI in Brain Health, University of Tübingen, Tübingen, Germany
Abstract
Altered affective state dynamics are a characteristic feature of depression and can persist beyond symptomatic remission. Individuals with remitted major depressive disorder (rMDD) often show heightened reactivity to negative mood states and reduced efficiency in recovering from them, consistent with changes in affective dynamics after remission. These patterns may reflect alterations in the brain's capacity to flexibly shift between neural states that support distinct affective modes. Characterizing the dynamical mechanisms that govern transitions into and out of experimentally induced affective states is therefore essential for understanding vulnerability to recurrence and informing mechanistic interventions. We developed a data‐driven framework combining dynamical system reconstruction (DSR) with model‐based control to infer optimal control policies for transitions between resting and sad mood brain states using functional magnetic resonance imaging (fMRI) data. Nonlinear DSR models trained on individuals with rMDD and healthy controls (HC) yielded region‐specific, state‐dependent control strategies. Small regions (e.g., sgACC, NAcc) showed higher controllability, requiring less energy for state transitions. Notably, rMDD participants required less control energy than HC to shift both into and, to a more spatially restricted extent, out of sad mood states. Despite reaching the resting state target with similar proximity, however, they remained closer to the sad mood distribution when returning to rest, reflecting a residual bias toward the sad mood distribution. Elevated coupling in rMDD, especially toward the DLPFC, was linked to lower control energy, suggesting that stronger network coupling facilitates transitions. These findings indicate rMDD dynamics that ease entry into sad mood states but impede full disengagement. More broadly, they demonstrate how closed‐loop control applied to data‐driven dynamical models can provide mechanistic insight into brain state transitions and inform future hypotheses about cognitive vulnerability or compensatory processes.
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 11 matches between paragraphs and lines of code.
humml-lab/fmri-control
59253796ecb10a3adce29d48a7045e073f950335, 16 July 2026Availability: 1 check, the latest on 26 September 2026: the link answers
- 26 September 2026: the link answers
32 files
- analyses/
analysis_connectivity.ip — Jupyter, 613 linesynb - analyses/
analysis_eval_measures.i — Jupyter, 349 linespynb - analyses/
analysis_optuna.ipynb — Jupyter, 222 lines - analyses/
analysis_rnn.ipynb — Jupyter, 299 lines, 2 matches - analyses/
analysis_simulation.ipyn — Jupyter, 873 lines, 1 matchb - analyses/
analysis_utils.py — Python, 132 lines, 1 match - analyses/
spatial_separation.ipynb — Jupyter, 508 lines, 2 matches - analyses/
spatial_separation/ — Python, 268 lines, 2 matchesclassification_utils.py - fmri_data/
3d_brain.ipynb — Jupyter, 90 lines - src/
control/ — Python, 196 linesbptt.py - src/
control/ — Python, 170 linescontrol_utils.py - src/
control/ — Python, 130 linesmain.py - src/
control/ — Python, 201 linesmodels.py - src/
control/ — Python, 77 linesubermain_cont.py - src/
evaluation.py — Python, 162 lines, 2 matches - src/
hyperparameter_search/ — Python, 167 linesmultitasking.py - src/
hyperparameter_search/ — Python, 132 linesoptuna_worker.py - src/
hyperparameter_search/ — Python, 115 linessearch_space/ optuna_search_space.py - src/
hyperparameter_search/ — Python, 30 linessearch_space/ parameter.py - src/
hyperparameter_search/ — Python, 23 linessearch_space/ search_space.py - src/
hyperparameter_search/ — Python, 97 linesvalue_formatter.py - src/
multitasking.py — Python, 109 lines - src/
plot.py — Python, 43 lines - src/
rnn/ — Python, 188 linesbptt.py - src/
rnn/ — Python, 162 linesdataset.py - src/
rnn/ — Python, 85 lines, 1 matchmain.py - src/
rnn/ — Python, 289 linesmodels.py - src/
rnn/ — Python, 69 linesubermain_DEP_optuna.py - src/
training.py — Python, 132 lines - src/
utils.py — Python, 151 lines - LICENSE — License, 21 lines
- README.md — Text, 36 lines
The paper's code and data availability statement is in the Data section.
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What the map holds:
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- neither the text of the paper nor the code itself.
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Data
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Data Availability Statement
All code and fully preprocessed data used for the analyses is openly available at https://
Reproduced under the paper's license (CC BY), from the paper cited above.
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Version 1, 27 September 2026: the first record
Recorded: type, language, journal, volume, issue, pages, dates, 9 authors, 6 keywords, 10 MeSH terms, 5 funders, 56 references.
Cite
This paper
Emonds, N., Herberg, E., Gerchen, M. F., Pritsch, M., Rocha, J., Zamoscik, V., Kirsch, P., Herzog, R., & Koppe, G. (2026). A Data-Driven Closed-Loop Control Approach to Drive Neural State Transitions for Mechanistic Insight. Human brain mapping, 47(11), e70600. https://
BibTeX
@article{emonds2026data,
author = {Emonds, Niklas and Herberg, Evelyn and Gerchen, Martin Fungisai and Pritsch, Marc and Rocha, Joshua and Zamoscik, Vera and Kirsch, Peter and Herzog, Roland and Koppe, Georgia},
title = {{A Data-Driven Closed-Loop Control Approach to Drive Neural State Transitions for Mechanistic Insight}},
journal = {Human brain mapping},
year = {2026},
month = aug,
volume = {47},
number = {11},
pages = {e70600},
publisher = {Wiley},
issn = {1065-9471},
doi = {10.1002/
url = {https://
pmid = {42454569},
pmcid = {PMC13370802}
}
RIS
TY - JOUR
AU - Emonds, Niklas
AU - Herberg, Evelyn
AU - Gerchen, Martin Fungisai
AU - Pritsch, Marc
AU - Rocha, Joshua
AU - Zamoscik, Vera
AU - Kirsch, Peter
AU - Herzog, Roland
AU - Koppe, Georgia
TI - A Data-Driven Closed-Loop Control Approach to Drive Neural State Transitions for Mechanistic Insight
T2 - Human brain mapping
J2 - Hum Brain Mapp
PY - 2026
DA - 2026/
VL - 47
IS - 11
SP - e70600
SN - 1065-9471
PB - Wiley
DO - 10.1002/
UR - https://
LA - en
ER -
CSL-JSON
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You validate the map as this page shows it: 1 repository of the authors' code, each at its verified commit and with its license, 30 scripts, and 11 matches between paragraphs and code (see the Code and Map sections). It then receives a DOI on Zenodo, with you (your ORCID iD) and OSCR as its creators; the code itself is not deposited.
The map's fingerprint: sha256:41e645f8a01928c8…
Add the badge to its README
The badge links the code to this page. Copy one of these into the README of the paper's code: only you decide where it goes, and nothing is changed for you.
Markdown
[, paste the snippet at the top, then “Commit changes…” and, to review it first, “Create a new branch and start a pull request”. You open the pull request; OSCR asks for no permission.
Request its removal
To ask OSCR to remove this record, the copies of its authors' scripts or its tracing map, use the removal request page: signed in, you say who you are, what to remove and why, then review and confirm the request. Published rules decide every request (how).
Discussion, reproductions, activity
Discussion: questions and error reports about this paper and its code, from signed-in readers and its authors. It opens with sign-in.
Reproductions: reports from readers who ran the authors' code: what they reproduced, with which environment, commit and data. It opens with sign-in.
Activity: what happens around this paper: new versions of its record, its map's validation, discussions and reproductions. It opens with sign-in.
