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        <title>Spontaneous behaviors drive multidimensional, brainwide activity</title>
        <author>Stringer</author>
        <author>Pachitariu</author>
        <author>Steinmetz</author>
        <author>Reddy</author>
        <author>Carandini</author>
        <author>Harris</author>
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        <bibl>
          <title>Spontaneous behaviors drive multidimensional, brainwide activity</title>
          <date>2019</date>
          <publisher>Science</publisher>
          <idno type="DOI">10.1126/science.aav7893</idno>
          
          <idno type="record">Stringer2019-spontaneous-behaviors-drive-multidimensional</idno>
          <note type="staged-file">Stringer2019-spontaneous-behaviors-drive-multidimensional.txt, the project's staged copy</note>
          <note type="text-sha1">187aeebc3fc29e1dc329b4712b8f206d83e60427</note>
          <note type="rights">not-redistributable</note>
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      <span xml:id="t0" type="object_of_study" ana="#object_of_study" resp="#paper">
        <label>the structure of spontaneous and stimulus-evoked population activity in mouse visual cortex, and what the apparently noisy component of it encodes</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t1" type="research_question" ana="#research_question" resp="#paper">
        <label>is cortical variability random noise, recapitulation of prior sensory experience, or encoding of ongoing behaviour</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t2" type="contribution" ana="#contribution" resp="#paper">
        <label>shows spontaneous activity reliably encodes a high-dimensional behavioural signal present brain-wide, and that sensory input adds to it in orthogonal dimensions rather than displacing it</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t3" type="claim_type" ana="#claim_type" resp="#paper">
        <label>existence</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t4" type="phenomenon" ana="#phenomenon" resp="#paper">
        <label>spontaneous cortical population activity and trial-to-trial response variability</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t5" type="method" ana="#method" resp="#paper">
        <label>calcium-imaging</label>
        <term>calcium-imaging</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t6" type="mechanisms" ana="#mechanisms[0]" resp="#tagger">
        <label>mechanisms</label>
        <term>Behavioural and state variables reach primary sensory cortex through neuromodulatory input carrying arousal state and top-down input from higher-order cortices carrying fine-grained motor variables, so sensory and motor information are integrated already at V1</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t7" type="mechanisms" ana="#mechanisms[1]" resp="#tagger">
        <label>mechanisms</label>
        <term>The apparent similarity between spontaneous and stimulus-evoked population activity arises because a single common mean-rate dimension fluctuates in both conditions, not because cortex replays past sensory experience</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t8" type="mechanisms" ana="#mechanisms[2]" resp="#tagger" cert="1.0">
        <label>reliable variance is defined by double cross-validation: neurons split into two spatially separate sets, timepoints split into train and test, and only variance that covaries across both splits counts</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t9" type="mechanisms" ana="#mechanisms[3]" resp="#tagger" cert="1.0">
        <label>the behavioural regressor is not chosen in advance but discovered, by taking a thousand principal components of facial motion rather than naming which movements should matter</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t10" type="mechanisms" ana="#mechanisms[4]" resp="#tagger" cert="1.0">
        <label>the hand-picked arousal variables are shown to be redundant once the video is used, which is how the paper argues the old low-dimensional accounts were glimpses of something larger</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t11" type="mechanisms" ana="#mechanisms[5]" resp="#tagger" cert="1.0">
        <label>the paper states what its own method cannot see, and distinguishes its phenomenon from the fast one by a timescale its sampling rate excludes</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t12" type="mechanisms" ana="#mechanisms[6]" resp="#tagger" cert="1.0">
        <label>the claim of high dimensionality is stress-tested against sample size: reliability of higher components rises with neuron count, so the reported dimensionality is a floor</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t13" type="mechanisms" ana="#mechanisms[7]" resp="#tagger" cert="1.0">
        <label>decoding is used as the check on the subspace geometry - if stimulus information really is confined to one subspace, a classifier reading the others should fail</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t14" type="mechanisms" ana="#mechanisms[8]" resp="#tagger" cert="1.0">
        <label>the imaging result is repeated in a different preparation and a different recording modality, eight probes across forebrain, before the brain-wide claim is made</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t15" type="mechanisms" ana="#mechanisms[9]" resp="#tagger" cert="1.0">
        <label>a spatial null is run on the sorted activity continuum: position on it does not track position in the tissue, so the structure is not topographic</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t16" type="mechanisms" ana="#mechanisms[10]" resp="#tagger" cert="1.0">
        <label>trial-to-trial variability is decomposed into a multiplicative part inside the stimulus subspace and an additive part outside it, which is what lets a long-running either/or dispute be answered with both</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t17" type="mechanisms" ana="#mechanisms[11]" resp="#tagger" cert="1.0">
        <label>the multiplicative gain is not left as a fitted nuisance parameter but predicted from the behavioural video, tying the statistical model back to an observable</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t18" type="mechanisms" ana="#mechanisms[12]" resp="#tagger" cert="1.0">
        <label>the affine model is tested and rejected, so the absence of additive variability within the stimulus subspace is a checked result rather than an assumption</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t19" type="limitations" ana="#limitations[0]" resp="#tagger">
        <label>The dimensionality estimate is bounded by the number of neurons recorded; larger populations would reveal still more dimensions.</label>
        <note>what this limits: the dimensionality figure, which is bounded by the recording and not by the brain: THE ESTIMATED RELIABILITY OF HIGHER SVCs INCREASED WITH THE NUMBER OF NEURONS ANALYZED ... RECORDINGS OF LARGER POPULATIONS WOULD IDENTIFY YET MORE DIMENSIONS</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t20" type="limitations" ana="#limitations[1]" resp="#tagger">
        <label>The imaging frame rate (400 ms per cortical scan) makes fast up/down phases undetectable in this dataset.</label>
        <note>what this limits: any statement about up/down dynamics from this dataset: UP/DOWN PHASES COULD NOT EVEN HAVE BEEN DETECTED IN OUR RECORDINGS, WHICH SCANNED THE CORTEX EVERY 400 ms</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t21" type="limitations" ana="#limitations[2]" resp="#tagger">
        <label>The unexplained dimensions of reliable variance are not identified; they may be motor activity invisible on the face or internal cognitive variables.</label>
        <note>what this limits: the behavioural account of the variance: THE REMAINING DIMENSIONS AND VARIANCE MIGHT IN PART REFLECT MOTOR ACTIVITY NOT VISIBLE ON THE FACE ... OR THEY MIGHT REFLECT INTERNAL COGNITIVE VARIABLES SUCH AS MOTIVATIONAL DRIVES</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t22" type="limitations" ana="#limitations[3]" resp="#tagger" cert="1.0">
        <label>the recording rate makes the fast up/down phenomenon undetectable in the imaging data</label>
        <note>duplicate of: limitations[1] · what this limits: the same scope as limitations[1] - the scan rate excludes the phenomenon rather than measuring it as absent</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t23" type="limitations" ana="#limitations[4]" resp="#tagger" cert="1.0">
        <label>most of the reliable variance is still unexplained, and the paper offers two quite different candidates without deciding</label>
        <note>what this limits: the same scope as limitations[2] - most of the reliable variance is unexplained, with two very different candidates offered and neither tested</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t24" type="limitations" ana="#limitations[5]" resp="#tagger" cert="1.0">
        <label>the dimensionality reported is bounded by the number of neurons recorded, not by the brain</label>
        <note>what this limits: the same scope as limitations[0] - more neurons would give more dimensions</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t25" type="limitations" ana="#limitations[6]" resp="#tagger" cert="1.0">
        <label>the recapitulation account is not excluded, only shown to be unsupported by the similarity statistic on its own</label>
        <note>what this limits: the recapitulation literature: OUR RESULTS DO NOT EXCLUDE THAT GENUINE RECAPITULATION COULD OCCUR IN OTHER BEHAVIORAL CIRCUMSTANCES, but EVEN A SINGLE DIMENSION OF COMMON RATE FLUCTUATION IS SUFFICIENT FOR SOME PREVIOUSLY-APPLIED STATISTICAL METHODS TO REPORT it</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t26" type="transfers" ana="#transfers[0]" resp="#tagger" cert="0.95">
        <label>a train-test split applied simultaneously along two axes - cells and time - to define which variance counts as signal rather than relying on a noise model</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t27" type="transfers" ana="#transfers[1]" resp="#tagger" cert="0.95">
        <label>motion energy and its principal components, used to turn a video of a face into a thousand-dimensional behavioural regressor without deciding in advance which movements matter</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t28" type="transfers" ana="#transfers[2]" resp="#tagger" cert="0.9">
        <label>reduced rank regression, used to ask how few behavioural dimensions suffice rather than how much total variance behaviour explains</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t29" type="controls" ana="#controls[0]" resp="#tagger" cert="0.9">
        <label>comparing recordings made in complete darkness against recordings made with a gray screen</label>
        <note>eliminates: that the spontaneous population activity is driven by visual input from the gray screen rather than being genuinely spontaneous · outcome: held</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t30" type="controls" ana="#controls[1]" resp="#tagger" cert="0.85">
        <label>cross-validated stimulus decoding from the stimulus subspace compared against the spontaneous-only and behaviour-only subspaces</label>
        <note>eliminates: that the spontaneous and behavioural dimensions carry the stimulus information, rather than being orthogonal to it · outcome: held</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t31" type="senses" ana="#senses[0]" resp="#tagger" cert="1.0">
        <label>cortical variability - as random noise, as recapitulation of prior experience, or as encoding of behaviour; three incompatible readings of one measured quantity, named together by the authors</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t32" type="senses" ana="#senses[1]" resp="#tagger" cert="1.0">
        <label>variability - independent across cells (harmless to coding) versus correlated (harmful or not, depending on its geometry); the distinction that makes the orthogonality result matter</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t33" type="senses" ana="#senses[2]" resp="#tagger" cert="1.0">
        <label>correlated variability - mimicking stimulus differences, and so corrupting the code, versus lying orthogonal to them, and so carrying something else</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t34" type="senses" ana="#senses[3]" resp="#tagger" cert="1.0">
        <label>slow multi-second alternation between two sub-populations versus fast up/down phases modulating all neurons together; the same raster read at two timescales</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t35" type="senses" ana="#senses[4]" resp="#tagger" cert="1.0">
        <label>similarity between spontaneous and evoked activity - as evidence of replayed experience versus as a mean-rate artefact; the paper argues the statistic cannot distinguish them</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t36" type="senses" ana="#senses[5]" resp="#tagger" cert="1.0">
        <label>arousal as three hand-picked variables versus behaviour as a thousand videographic dimensions; the first turns out to be a projection of the second</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t37" type="senses" ana="#senses[6]" resp="#tagger" cert="1.0">
        <label>reliable variance - defined operationally as what survives a split across both cells and time, not as what exceeds a noise threshold</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t38" type="alternatives" ana="#alternatives.method" resp="#tagger">
        <label>method: two-photon calcium imaging of over 10,000 neurons with simultaneous facial videography, cross-validated by a purpose-built shared-variance method, and replicated with eight simultaneous Neuropixels probes</label>
        <note>a second reading DIFFERING from the recorded value. Recorded: calcium-imaging — note: a second reading, verbatim-verified, disagreeing with the value on the record. Not applied - a person decides.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t39" type="alternatives" ana="#alternatives.phenomenon" resp="#tagger">
        <label>phenomenon: spontaneous cortical activity and trial-to-trial variability of sensory responses</label>
        <note>a second reading DIFFERING from the recorded value. Recorded: spontaneous cortical population activity and trial-to-trial response variability — note: a second reading, verbatim-verified, disagreeing with the value on the record. Not applied - a person decides.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t40" type="claim_relations" ana="#claim_relations[0]" resp="#tagger">
        <label>extends → Previous reports of low-dimensional locomotion and arousal correlates in visual cortex (refs 8, 10-16, 33)</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t41" type="claim_relations" ana="#claim_relations[1]" resp="#tagger">
        <label>contradicts → Studies reporting similarity between spontaneous activity and sensory responses as evidence for recapitulation of sensory experience (refs 2-7)</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t42" type="claim_relations" ana="#claim_relations[2]" resp="#tagger">
        <label>extends → Conflicting prior findings on whether cortical variability is additive or multiplicative (refs 39-42)</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t43" type="claim_relations" ana="#claim_relations[3]" resp="#tagger" cert="1.0">
        <label>critiques → studies inferring recapitulation of sensory experience from statistical similarity between spontaneous and evoked activity</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t44" type="claim_relations" ana="#claim_relations[4]" resp="#tagger" cert="1.0">
        <label>extends → reports of low-dimensional locomotion and arousal correlates in visual cortex, which the paper recasts as glimpses of a much larger set</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t45" type="claim_relations" ana="#claim_relations[5]" resp="#tagger" cert="1.0">
        <label>supports → the resolution of the additive-versus-multiplicative dispute about cortical variability, by assigning each to a different subspace</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t46" type="claim_relations" ana="#claim_relations[6]" resp="#tagger" cert="0.95">
        <label>contradicts → the view that trial-to-trial variability in sensory cortex is primarily unstructured noise</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t47" type="claim_relations" ana="#claim_relations[7]" resp="#tagger" cert="0.95">
        <label>builds-on → the anatomical fact that primary sensory cortex receives both neuromodulatory state input and higher-order cortical input</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t48" type="concept_edges" ana="#concept_edges[1]" resp="#tagger">
        <label>spontaneous activity —distinct-from→ recapitulation</label>
        <term>spontaneous activity</term>
        <term>recapitulation</term>
        <note>strength of the relation: 0.75
Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the similarity &#x27;need not imply recapitulation&#x27;; distinct-from is loose.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t49" type="concept_edges" ana="#concept_edges[3]" resp="#tagger">
        <label>reliable variance —operationalised-as→ Shared Variance Component Analysis</label>
        <term>reliable variance</term>
        <term>Shared Variance Component Analysis</term>
        <note>strength of the relation: 1</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t50" type="concept_edges" ana="#concept_edges[5]" resp="#tagger">
        <label>EVIDENCE CORRECTED (RE-GROUNDED) · stimulus-only subspace —distinct-from→ behavior-only subspace</label>
        <term>stimulus-only subspace</term>
        <term>behavior-only subspace</term>
        <note>EVIDENCE CORRECTED: RE-GROUNDED. The old span named neither subspace. This clause names both and states their independence, which is the distinctness the edge records. — strength of the relation: 0.95</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t51" type="concept_edges" ana="#concept_edges[7]" resp="#tagger">
        <label>facial motion —causes→ multiplicative gain</label>
        <term>facial motion</term>
        <term>multiplicative gain</term>
        <note>strength of the relation: 0.85
Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the gain &#x27;could be predicted from&#x27; facial motion energy; causes is loose.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t52" type="concept_edges" ana="#concept_edges[10]" resp="#tagger">
        <label>Shared Variance Components —operationalised-as→ reliable variance</label>
        <term>Shared Variance Components</term>
        <term>reliable variance</term>
        <note>strength of the relation: 0.9
Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the span writes &#x27;the first SVC&#x27;; the endpoint is a variant, and operationalised-as is loose.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t53" type="concept_edges" ana="#concept_edges[11]" resp="#tagger">
        <label>thalamus —part-of→ forebrain</label>
        <term>thalamus</term>
        <term>forebrain</term>
        <note>strength of the relation: 0.85
Audit 2026-09-28: DOUBTFUL - read against its span and kept, but the span lists recorded regions; part-of &#x27;forebrain&#x27; is not stated.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t54" type="content_tags" ana="#content_tags.statistics[0]" resp="#tagger">
        <label>Wilcoxon signed-rank test</label>
        <term>Wilcoxon signed-rank test</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t55" type="content_tags" ana="#content_tags.statistics[1]" resp="#tagger">
        <label>Wilcoxon rank-sum test</label>
        <term>Wilcoxon rank-sum test</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t56" type="content_tags" ana="#content_tags.statistics[2]" resp="#tagger">
        <label>correlation</label>
        <term>correlation</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t57" type="content_tags" ana="#content_tags.statistics[3]" resp="#tagger">
        <label>correlation</label>
        <term>correlation</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t58" type="content_tags" ana="#content_tags.statistics[4]" resp="#tagger">
        <label>principal component analysis</label>
        <term>principal component analysis</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t59" type="content_tags" ana="#content_tags.statistics[5]" resp="#tagger">
        <label>regression</label>
        <term>regression</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t60" type="content_tags" ana="#content_tags.statistics[6]" resp="#tagger">
        <label>cross-validation</label>
        <term>cross-validation</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t61" type="content_tags" ana="#content_tags.statistics[7]" resp="#tagger">
        <label>linear classification</label>
        <term>linear classification</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t62" type="content_tags" ana="#content_tags.statistics[8]" resp="#tagger">
        <label>standard deviation</label>
        <term>standard deviation</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t63" type="content_tags" ana="#content_tags.statistics[9]" resp="#tagger" cert="1.0">
        <label>Shared Variance Component Analysis</label>
        <term>Shared Variance Component Analysis</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t64" type="content_tags" ana="#content_tags.statistics[10]" resp="#tagger" cert="1.0">
        <label>reduced rank regression</label>
        <term>reduced rank regression</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t65" type="content_tags" ana="#content_tags.statistics[11]" resp="#tagger" cert="1.0">
        <label>power law</label>
        <term>power law</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t66" type="content_tags" ana="#content_tags.statistics[12]" resp="#tagger" cert="0.9">
        <label>two-sided Wilcoxon sign-rank test</label>
        <term>two-sided Wilcoxon sign-rank test</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t67" type="content_tags" ana="#content_tags.statistics[13]" resp="#tagger" cert="1.0">
        <label>Wilcoxon rank-sum test</label>
        <term>Wilcoxon rank-sum test</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t68" type="content_tags" ana="#content_tags.statistics[14]" resp="#tagger" cert="1.0">
        <label>cross-validated</label>
        <term>cross-validated</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t69" type="content_tags" ana="#content_tags.findings[0]" resp="#tagger">
        <label>Ongoing population activity in mouse visual cortex reliably encoded a latent signal of at least 100 linear dimensions.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t70" type="content_tags" ana="#content_tags.findings[1]" resp="#tagger">
        <label>The single largest dimension of ongoing activity tracks arousal and drives roughly half the neurons up while driving the other half down, so it is not a global rate increase.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t71" type="content_tags" ana="#content_tags.findings[2]" resp="#tagger">
        <label>A high-dimensional description of facial movement predicts about twice as much neural variance as the three standard arousal measures (running, pupil diameter and whisking) combined.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t72" type="content_tags" ana="#content_tags.findings[3]" resp="#tagger">
        <label>The same multidimensional behaviour-related activity structure is not confined to visual cortex but is present in neurons sampled across the forebrain.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t73" type="content_tags" ana="#content_tags.findings[4]" resp="#tagger">
        <label>The stimulus and behaviour subspaces overlap primarily because both can change the population mean rate; the finer patterns of increase and decrease were essentially orthogonal.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t74" type="content_tags" ana="#content_tags.findings[5]" resp="#tagger">
        <label>Stimulus identity can be decoded accurately from the stimulus-only subspace but not at all from the behaviour-only or spontaneous-only subspaces, which perform no better than random dimensions.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t75" type="content_tags" ana="#content_tags.findings[6]" resp="#tagger">
        <label>Trial-to-trial response variability decomposes into multiplicative gain modulation inside the stimulus subspace plus additive ongoing activity in dimensions orthogonal to it.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t76" type="content_tags" ana="#content_tags.findings[7]" resp="#tagger">
        <label>Thalamic neurons are the most strongly behaviour-modulated population recorded, with 35.7% of their total variance predictable from facial video.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t77" type="content_tags" ana="#content_tags.findings[8]" resp="#tagger" cert="1.0">
        <label>97% of the variance in the first shared component was reliable, leaving 3% for independent noise</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t78" type="content_tags" ana="#content_tags.findings[9]" resp="#tagger" cert="1.0">
        <label>reliable spontaneous variance decayed across dimensions as a power law of exponent 1.14, steeper than for stimulus responses but still high-dimensional</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t79" type="content_tags" ana="#content_tags.findings[10]" resp="#tagger" cert="1.0">
        <label>the three explicit arousal variables together explained about half the variance of the first neural principal component</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t80" type="content_tags" ana="#content_tags.findings[11]" resp="#tagger" cert="1.0">
        <label>about 57% of neurons correlated positively with the first PC and the rest negatively, so two sub-populations alternate</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t81" type="content_tags" ana="#content_tags.findings[12]" resp="#tagger" cert="1.0">
        <label>multidimensional facial behaviour predicted roughly twice the variance the three arousal variables did</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t82" type="content_tags" ana="#content_tags.findings[13]" resp="#tagger" cert="1.0">
        <label>prediction kept improving up to at least 16 behavioural dimensions, suggesting visual cortex encodes at least that many motor dimensions</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t83" type="content_tags" ana="#content_tags.findings[14]" resp="#tagger" cert="1.0">
        <label>those dimensions captured 21% of total population variance against 11% for the three-variable model</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t84" type="content_tags" ana="#content_tags.findings[15]" resp="#tagger" cert="1.0">
        <label>adding running, pupil and whisking to the video improved prediction by less than 1%, even though running is not visible in the face video</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t85" type="content_tags" ana="#content_tags.findings[16]" resp="#tagger" cert="1.0">
        <label>every recorded brain area contained neurons across the whole activity continuum, so the structure is distributed rather than localised</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t86" type="content_tags" ana="#content_tags.findings[17]" resp="#tagger" cert="1.0">
        <label>thalamic neurons were the best predicted by behaviour, at 35.7% of total variance</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t87" type="content_tags" ana="#content_tags.findings[18]" resp="#tagger" cert="1.0">
        <label>behavioural prediction was best at zero lag and decayed over seconds, full width at half maximum 2.5 s</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t88" type="content_tags" ana="#content_tags.findings[19]" resp="#tagger" cert="1.0">
        <label>stimulus and behaviour subspaces overlapped in essentially one dimension, which is the population mean rate</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t89" type="content_tags" ana="#content_tags.findings[20]" resp="#tagger" cert="1.0">
        <label>a classifier decoded stimuli at 10% error from the stimulus subspace and at chance from the behaviour or spontaneous subspaces</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t90" type="content_tags" ana="#content_tags.findings[21]" resp="#tagger" cert="1.0">
        <label>the behaviour subspace was active before the stimulus and continued unchanged through it, while the stimulus subspace was silent then active</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t91" type="content_tags" ana="#content_tags.findings[22]" resp="#tagger" cert="1.0">
        <label>a purely multiplicative trial-varying gain accounted for 89% of the variance in the stimulus subspace</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t92" type="content_tags" ana="#content_tags.findings[23]" resp="#tagger" cert="1.0">
        <label>that gain was predictable from facial motion at r = 0.61 cross-validated</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t93" type="content_tags" ana="#content_tags.findings[24]" resp="#tagger" cert="1.0">
        <label>adding an additive term to the multiplicative model did not significantly improve it</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t94" type="content_tags" ana="#content_tags.findings[25]" resp="#tagger" cert="1.0">
        <label>stimulus and behaviour representations were mixed in the same neurons rather than carried by separate populations</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t95" type="content_tags" ana="#content_tags.findings[26]" resp="#tagger" cert="1.0">
        <label>recordings in darkness and with a gray screen did not differ</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t96" type="content_tags" ana="#content_tags.findings[27]" resp="#tagger" cert="1.0">
        <label>position on the sorted activity continuum bore little relation to position in the tissue</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t97" type="content_tags" ana="#content_tags.definitions[0]" resp="#tagger">
        <label>Shared Variance Component Analysis (SVCA)</label>
        <term>Shared Variance Component Analysis (SVCA)</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t98" type="content_tags" ana="#content_tags.definitions[1]" resp="#tagger">
        <label>Shared Variance Components (SVCs)</label>
        <term>Shared Variance Components (SVCs)</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t99" type="content_tags" ana="#content_tags.definitions[2]" resp="#tagger">
        <label>motion energy</label>
        <term>motion energy</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t100" type="content_tags" ana="#content_tags.definitions[3]" resp="#tagger" cert="1.0">
        <label>Shared Variance Component Analysis</label>
        <term>Shared Variance Component Analysis</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t101" type="content_tags" ana="#content_tags.definitions[4]" resp="#tagger" cert="1.0">
        <label>up and down phases</label>
        <term>up and down phases</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t102" type="content_tags" ana="#content_tags.definitions[5]" resp="#tagger" cert="1.0">
        <label>facial motion</label>
        <term>facial motion</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t103" type="content_tags" ana="#content_tags.variables[0]" resp="#tagger">
        <label>visual stimulation</label>
        <term>visual stimulation</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t104" type="content_tags" ana="#content_tags.variables[1]" resp="#tagger">
        <label>dimensions of the video signal</label>
        <term>dimensions of the video signal</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t105" type="content_tags" ana="#content_tags.variables[2]" resp="#tagger">
        <label>population activity</label>
        <term>population activity</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t106" type="content_tags" ana="#content_tags.variables[4]" resp="#tagger" cert="1.0">
        <label>running speed</label>
        <term>running speed</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t107" type="content_tags" ana="#content_tags.variables[5]" resp="#tagger" cert="1.0">
        <label>facial motion</label>
        <term>facial motion</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t108" type="content_tags" ana="#content_tags.variables[6]" resp="#tagger" cert="1.0">
        <label>reliable variance</label>
        <term>reliable variance</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t109" type="content_tags" ana="#content_tags.variables[7]" resp="#tagger" cert="1.0">
        <label>time lag</label>
        <term>time lag</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t110" type="content_tags" ana="#content_tags.variables[8]" resp="#tagger" cert="1.0">
        <label>multiplicative gain</label>
        <term>multiplicative gain</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t111" type="content_tags" ana="#content_tags.variables[9]" resp="#tagger">
        <label>pupil area</label>
        <term>pupil area</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t112" type="content_tags" ana="#content_tags.variables[10]" resp="#tagger">
        <label>whisking</label>
        <term>whisking</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t113" type="content_tags" ana="#content_tags.quantities[0]" resp="#tagger">
        <label>11,262 ± 2,282 — mean and s.d. of the number of excitatory neurons simultaneously imaged, over nine sessions in six mice</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t114" type="content_tags" ana="#content_tags.quantities[1]" resp="#tagger">
        <label>97% — fraction of the variance along the first shared variance component that was reliable rather than independent noise</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t115" type="content_tags" ana="#content_tags.quantities[2]" resp="#tagger">
        <label>1.14 — exponent of the power law by which reliable spontaneous variance decays across dimensions</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t116" type="content_tags" ana="#content_tags.quantities[3]" resp="#tagger">
        <label>21%± 1% SE — share of total population variance captured by the 16 predictive facial-behaviour dimensions (31% of the reliable variance)</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t117" type="content_tags" ana="#content_tags.quantities[4]" resp="#tagger">
        <label>10.1 ± 4.0 % — cross-validated error rate for decoding which of 32 natural images was shown, from the stimulus subspace</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t118" type="content_tags" ana="#content_tags.quantities[5]" resp="#tagger">
        <label>89% ± 0.1% SE — variance in the stimulus subspace explained by a purely multiplicative trial-gain model</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t119" type="content_tags" ana="#content_tags.quantities[6]" resp="#tagger">
        <label>r = 0.61 ± 0.02 SE — cross-validated correlation between the per-trial multiplicative gain and its prediction from facial motion energy</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t120" type="content_tags" ana="#content_tags.quantities[7]" resp="#tagger">
        <label>less than 1% — extra explained variance gained by adding running, pupil and whisking to the facial video predictors</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t121" type="content_tags" ana="#content_tags.quantities[8]" resp="#tagger" cert="1.0">
        <label>11,262 ± 2,282 neurons — excitatory neurons imaged per session, over nine sessions in six mice</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t122" type="content_tags" ana="#content_tags.quantities[9]" resp="#tagger" cert="1.0">
        <label>97% — reliable variance fraction of the first shared variance component</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t123" type="content_tags" ana="#content_tags.quantities[10]" resp="#tagger" cert="1.0">
        <label>exponent 1.14 — power law decay of reliable spontaneous variance across dimensions</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t124" type="content_tags" ana="#content_tags.quantities[11]" resp="#tagger" cert="1.0">
        <label>16 dimensions — behavioural dimensions at which neural prediction saturated</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t125" type="content_tags" ana="#content_tags.quantities[12]" resp="#tagger" cert="1.0">
        <label>21% ± 1% SE against 11% ± 1% SE — total variance explained by videographic behaviour versus the three arousal variables</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t126" type="content_tags" ana="#content_tags.quantities[13]" resp="#tagger" cert="1.0">
        <label>35.7% — thalamic variance predicted from behaviour, the highest of any region</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t127" type="content_tags" ana="#content_tags.quantities[14]" resp="#tagger" cert="1.0">
        <label>2.5±0.4 s — full width at half maximum of the behavioural prediction across time lags</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t128" type="content_tags" ana="#content_tags.quantities[15]" resp="#tagger" cert="1.0">
        <label>10.1 ± 4.0 % — stimulus decoding error from the stimulus subspace, against 53% and 57% from the others</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t129" type="content_tags" ana="#content_tags.quantities[16]" resp="#tagger" cert="1.0">
        <label>89% ± 0.1% SE — variance in the stimulus subspace captured by a multiplicative gain model</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t130" type="content_tags" ana="#content_tags.quantities[17]" resp="#tagger" cert="1.0">
        <label>r = 0.61 ± 0.02 SE — cross-validated prediction of the trial gain from facial motion</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t131" type="content_tags" ana="#content_tags.quantities[18]" resp="#tagger" cert="1.0">
        <label>2,296, 2,668 and 1,462 units — units held stable for about an hour in the three electrophysiology mice</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t132" type="content_tags" ana="#content_tags.quantities[19]" resp="#tagger" cert="1.0">
        <label>57% ± 6.7% SE — share of neurons positively correlated with the first principal component</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
    </spanGrp>
  </standOff>
  <text>
    <body>
      <p><note type="rights">The full text of this article is not redistributable, so it is
      not included here. The evidence sentences are withheld with it; the tag layer and its
      grounding status remain. The article itself is at https://doi.org/10.1126/science.aav7893.</note></p>
    </body>
  </text>
</TEI>
