How Can Single Sensory Neurons Predict Behavior?

Pitkow, Liu, Angelaki, DeAngelis, Pouget · Neuron · 2015 · neuroscience · 10.1016/j.neuron.2015.06.033 · record Pitkow2015-how-can-single-sensory-neurons-predict-behav
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Where this record's text came from. faceted 2026-08 by reading the locally held text (xml); every evidence string verified as an exact substring of that text before merging. method is recorded as electrophysiology because the paper reports single-unit recordings from eight monkeys, but the primary contribution is analytical: closed-form predictions for choice correlations plus simulations of 500-neuron populations used to validate the fitting procedure. Claim type is mechanism rather than existence because the paper's answer to its title question is causal (high choice correlations arise BECAUSE information-limiting correlations restrict what any decoder can extract). The VIP result is a boundary case: choice correlations proportional to but larger than the optimal prediction, which the paper reads as VIP being redundant and not decoded. 2026-08-13 and 2026-08-15 schema-0.3 passes: every quote verified as an exact substring of the staged text and anchored at merge time; concept terms verified present; every edge endpoint an existing node.
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Other fields define these differently the same word, defined another way in another discipline
behavior 4 fields · population 3 fields · Akaike Information Criterion 3 fields · standard deviation 3 fields · threshold 2 fields · bootstrap 2 fields · and 2 more →

Tags on this paper

Every tag the record carries, each linking to every other paper in the corpus that carries it. A tag appears here whether or not its words occur in the article — the spans below are only the ones a sentence in this paper licenses. Of the 20 concept tags on this paper, 3 are grounded in a quoted sentence. All carry the tagger's gloss of what the term means in this paper, which is not something the article can license.
choice correlation choice probability threshold optimal decoding suboptimal decoding correlation-blind information-limiting differential correlations noise correlations redundant decoder efficiency VIP MSTd VN/CN LIP inactivation population behavior tuning curve Noise correlations aligned with the stimulus-induced change in mean firing (differential correlations) are indistinguishable from real signal, so pooling cannot average them away; population information saturates and single-neuron thresholds stay close to the behavioral threshold, producing large choice correlations. A decoder blind to correlations fails to cancel the shared noise fluctuations, so the animal's choice is driven by that irrelevant common noise and every neuron sharing it becomes correlated with the choice. An undecoded population inherits information-limiting noise that is partially shared with the decoded population but of larger amplitude, which inflates its choice correlations above the optimal prediction while it contributes nothing to the decision. discrimination threshold factorial decoder correlation-blind decoder psychophysical threshold decoder efficiency heading direction decoding strategy choice correlations, neural thresholds and behavioral thresholds fixation regression Bayesian multiple linear regression with heteroskedastic errors in variables Akaike Information Criterion corrected Akaike Information Criterion (AICc) bootstrap permutation test t-test t -test correlation Pearson correlation test ROC analysis maximum likelihood estimation maximum likelihood estimation assuming Poisson statistics confidence interval standard deviation standard deviation of the fitted Gaussian linear regression electrophysiology

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second readingalternativesan independent re-reading of a facet, recorded whether or not it agrees
relation to other workclaim_relationshow this paper stands to another: agrees, contradicts, extends, qualifies
claim typeclaim_typethe shape of the claim: existence, mechanism, method, critique, prediction, null
concept edgeconcept_edgesan asserted relation between two concepts, with the sentence asserting it
conceptconceptsan idea the paper works with, quoted where the paper uses it
content tagcontent_tagsa finding, definition, quantity, statistic or variable named in the paper
contributioncontributionwhat the paper claims to add
controlcontrolsan experiment run to eliminate a rival explanation
limitationlimitationswhat the paper says its evidence cannot support
mechanismmechanismshow the reported effect is said to come about
methodmethodhow the paper produced its evidence
object of studyobject_of_studywhat the paper is about — the thing it investigates
phenomenonphenomenonthe effect or regularity under study
research questionresearch_questionthe question the paper sets itself
sensesensesa distinct use of a term, quoted where the paper fixes it
transfertransfersa method or concept carried in from another field
unrecordable relationunhoused_relationsa relation the paper asserts that this vocabulary cannot express, with the reason

The paper

The full text is not reproduced here. This article is not cleared for redistribution, so the page carries the tag layer only. Its evidence sentences are withheld; the grounding status remains with each tag, and the article itself is at https://doi.org/10.1016/j.neuron.2015.06.033. The reading view exists for the papers whose licence permits it.

Every tag on this page

alternatives 3 · claim_relations 9 · claim_type 1 · concept_edges 9 · concepts 3 · content_tags 64 · contribution 1 · controls 4 · limitations 11 · mechanisms 7 · method 1 · object_of_study 1 · phenomenon 1 · research_question 1 · senses 21 · transfers 2 · unhoused_relations 1

Relations on this page carry a quotation for the claim. Where a relation was separately evidenced — and so tested against the vocabulary for its type — the row says so; none of 9 relations here carry that mark. The rest are the tagger’s reading of the sentence quoted beside them.

facettagfieldconf.whose words
object_of_studywhy SINGLE SENSORY NEURONS CAN BE SURPRISINGLY PREDICTIVE OF BEHAVIOR IN DISCRIMINATION TASKS
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object_of_studythe paper's words
research_questionwhich of two accounts is right, given that BOTH SUBOPTIMAL DECODING AND INFORMATION-LIMITING NOISE CORRELATIONS COULD EXPLAIN THESE TWO PUZZLING PHENOMENA - WHICH IS THE CORRECT EXPLANATION?
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research_questionthe paper's words
contributiona pair of quantitative predictions that separate the two accounts, and the finding that CHOICE CORRELATIONS CAN BE USED TO ASSESS THE EFFICIENCY OF THE DOWNSTREAM READ-OUT AND DETECT THE PRESENCE OF INFORMATION-LIMITING CORRELATIONS
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contributionthe paper's words
claim_typemechanism
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claim_typethe paper's words
phenomenonchoice correlations between sensory neurons and perceptual decisions
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phenomenonthe paper's words
methodelectrophysiology
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methodthe paper's words
mechanismsmechanisms
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
mechanisms[0]the tagger's words
mechanismsmechanisms
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
mechanisms[1]the tagger's words
mechanismsmechanisms
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
mechanisms[2]the tagger's words
mechanismsunder optimal decoding THE CHOICE CORRELATIONS TAKE THE REMARKABLY SIMPLE FORM OF A RATIO OF DISCRIMINATION THRESHOLDS - and this prediction HAS NO FREE PARAMETERS
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mechanisms[3]1.0the tagger's words
mechanismsthe information cannot be created downstream: IF INFORMATION IS NOT AVAILABLE AT THE INPUT, THEN IT CANNOT BE CREATED LATER BY ADDING MORE NEURONS - THOSE EXTRA NEURONS MAY APPEAR TO ADD MORE SIGNAL STRENGTH, BUT THEY ALSO INHERIT NOISE WITH THE SAME STRUCTURE AS THE SIGNAL
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mechanisms[4]1.0the tagger's words
mechanismsand that noise cannot be pooled away: THESE INFORMATION-LIMITING CORRELATIONS CANNOT BE AVERAGED AWAY BY APPROPRIATELY POOLING MANY NEURONS, BECAUSE THESE NOISE FLUCTUATIONS ARE INDISTINGUISHABLE FROM CHANGES IN NEURAL ACTIVITY INDUCED BY A REAL SIGNAL
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mechanisms[5]1.0the tagger's words
mechanismsONLY NOISE CORRELATIONS THAT MIMIC THE EFFECT OF THE STIMULUS ON POPULATION ACTIVITY LEAD TO SIGNIFICANT CHOICE CORRELATIONS - called DIFFERENTIAL CORRELATIONS BECAUSE THE CORRELATIONS MIMIC THE RELEVANT SIGNAL WHICH IS THE DIFFERENTIAL (DERIVATIVE) OF THE MEAN RESPONSES
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mechanisms[6]1.0the tagger's words
limitationsMeasurement noise leaves open other classes of suboptimal decoder that were not tested
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what this limits: the decoder conclusion: IT REMAINS POSSIBLE THAT NEURAL PROCESSING IS EVEN BETTER DESCRIBED BY SOME OTHER CLASS OF SUBOPTIMAL DECODERS THAT WE DID NOT CONSIDER
limitations[0]the tagger's words
limitationsThe conclusions depend on the specific class of suboptimal (correlation-blind) decoders considered
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what this limits: the same scope as limitations[0]: THESE RESULTS DEPEND ON THE PARTICULAR CLASS OF SUBOPTIMAL DECODERS WE CONSIDERED ... NAMELY THE CORRELATION-BLIND DECODERS
limitations[1]the tagger's words
limitationsA decoder that removes only the noisiest mode cannot be definitively excluded
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what this limits: the noisiest-mode argument specifically: WE CANNOT DEFINITIVELY RULE IT OUT
limitations[2]the tagger's words
limitationsThe optimality test depends on measuring neural thresholds from signals that are not known to be the ones driving behavior
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what this limits: the optimality test itself: IDEALLY, WE WOULD LIKE TO COMPUTE NEURAL THRESHOLDS FROM THE SAME NEURAL SIGNALS THAT DRIVE THE BEHAVIOR, BUT WE DON'T KNOW PRECISELY WHAT THOSE SIGNALS ARE
limitations[3]the tagger's words
limitationsthe quantity the whole account turns on is not directly measurable - INFORMATION-LIMITING CORRELATIONS ARE DIFFICULT TO ESTIMATE DIRECTLY, REQUIRING LARGE SIMULTANEOUS RECORDINGS WITH MANY TRIALS, and EXTRAPOLATING THE FULL NOISE CORRELATIONS FROM A SPARSE SUBSET OF PAIRWISE CORRELATION MEASUREMENTS IS EXTREMELY DIFFICULT, AND MISTAKES CAN RADICALLY CHANGE THE ESTIMATED INFORMATION CONTENT
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what this limits: any claim about the information content of a population built from pairwise correlation measurements
limitations[4]1.0the tagger's words
limitationsthe conclusion is relative to one family of alternatives - THESE RESULTS DEPEND ON THE PARTICULAR CLASS OF SUBOPTIMAL DECODERS WE CONSIDERED IN THE EXTENSIVE INFORMATION CASE, NAMELY THE CORRELATION-BLIND DECODERS, which is QUITE GENERAL, ALTHOUGH NOT ALL-ENCOMPASSING
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what this limits: the suboptimality conclusion, which is relative to one family: THESE RESULTS DEPEND ON THE PARTICULAR CLASS OF SUBOPTIMAL DECODERS WE CONSIDERED ... NAMELY THE CORRELATION-BLIND DECODERS
limitations[5]1.0the tagger's words
limitationsDUE TO MEASUREMENT NOISE IN THE DATA, IT REMAINS POSSIBLE THAT NEURAL PROCESSING IS EVEN BETTER DESCRIBED BY SOME OTHER CLASS OF SUBOPTIMAL DECODERS THAT WE DID NOT CONSIDER
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duplicate of: limitations[0] · what this limits: the same scope as limitations[0] - DUE TO MEASUREMENT NOISE IN THE DATA, IT REMAINS POSSIBLE THAT NEURAL PROCESSING IS EVEN BETTER DESCRIBED BY SOME OTHER class of decoder
limitations[6]1.0the tagger's words
limitationsand the authors say the model cannot be forced to fail - WE CAN ALWAYS CONCOCT SOME COMBINATION OF CORRELATIONS AND SUBOPTIMAL DECODERS THAT WOULD BE CONSISTENT WITH FINE DETAILS OF OUR MEASUREMENTS, rejected on the ground that it WOULD REQUIRE UNPALATABLE FINE-TUNING OF THE MODEL
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what this limits: treating the conclusion as an exclusion rather than as a parsimony judgment
limitations[7]1.0the tagger's words
limitationsthe two hypotheses are only separable if the sample is diverse enough - THE PREDICTIONS FOR OPTIMAL DECODING COULD BE SATISFIED EVEN FOR A POPULATION OF NEURONS DECODED SUBOPTIMALLY, LEADING US TO MISCHARACTERIZE A SUBOPTIMAL SYSTEM AS OPTIMAL, and THAT NEARLY HAPPENS FOR A HOMOGENEOUS POPULATION
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what this limits: applying the test in a preparation whose tuning curves are not heterogeneous
limitations[8]1.0the tagger's words
limitationsone monkey's data did not decide anything - CHOICE CORRELATIONS FOR MSTd IN THE OTHER MONKEY WERE INCONCLUSIVE
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what this limits: the MSTd evidence specifically: CHOICE CORRELATIONS FOR MSTd IN THE OTHER MONKEY WERE INCONCLUSIVE
limitations[9]1.0the tagger's words
limitationsa result of this paper is that an elegant earlier method may not work - SUCH A FULL RECONSTRUCTION MAY NOT BE FEASIBLE IN THE PRESENCE OF INFORMATION-LIMITING CORRELATIONS, and IT MAY NOT BE POSSIBLE TO USE CHOICE PROBABILITIES TO COMPUTE DECODING WEIGHTS FROM EXPERIMENTAL DATA
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what this limits: the earlier weight-reconstruction method, which this result bears on: DESPITE THE ELEGANCE OF THIS RESULT, ONE CONSEQUENCE OF OUR FI[ndings is that] SUCH A FULL RECONSTRUCTION MAY NOT BE [possible]
limitations[10]1.0the tagger's words
transfersTHE DATA PROCESSING INEQUALITY, used to rule out a model of cortical coding outright - THE EXTENSIVE INFORMATION MODEL ATTRIBUTES MORE INFORMATION TO THE CORTEX THAN TO THE SENSORS, AND THIS IS PROHIBITED
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transfers[0]1.0the tagger's words
transfersthe Akaike Information Criterion, used to choose between five predictors of the same measurements - and OUR DATA WAS STRONG ENOUGH TO SIGNIFICANTLY DIFFERENTIATE BETWEEN THE MODELS
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transfers[1]1.0the tagger's words
controlsthe whole discrimination procedure run first on simulated populations whose decoder was known
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eliminates: the method not being able to tell the two hypotheses apart at all - IN ALL FOUR MODEL SYSTEMS, THIS METHOD WAS ABLE TO RECOVER THE TRUE VALUES OF BOTH COEFFICIENTS WITHIN THE SIMULATED EXPERIMENTAL UNCERTAINTY · outcome: held
controls[0]0.7the tagger's words
controlsthree further optimality signatures checked, each of which could have failed
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eliminates: optimality being read off one fit - uninformative neurons had choice correlations NO MORE THAN EXPECTED BY CHANCE, NO NEURONS HAVE A THRESHOLD LOWER THAN THE ANIMAL'S BEHAVIORAL THRESHOLD, and negative choice correlations excluded zero for ONLY 4/339 RECORDED CELLS · outcome (stated by the tagger, no quotation): held
controls[1]1.0the tagger's words
controlsa neuron-antineuron correction applied to the neural thresholds that an earlier study omitted
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eliminates: NO NEURONS HAVE A THRESHOLD LOWER THAN THE ANIMAL'S BEHAVIORAL THRESHOLD, AS LONG AS NEURAL THRESHOLDS ARE PROPERLY CORRECTED FOR USE OF A NEURON-ANTINEURON PAIR - A CORRECTION THAT WAS NOT APPLIED IN ( COHEN AND NEWSOME 2009 ) · outcome (stated by the tagger, no quotation): held
controls[2]1.0the tagger's words
controlsmodel quality scored by AIC against a null model and three alternatives
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eliminates: a better fit bought with free parameters - and OUR DATA WAS STRONG ENOUGH TO SIGNIFICANTLY DIFFERENTIATE BETWEEN THE MODELS · outcome (stated by the tagger, no quotation): held
controls[3]1.0the tagger's words
conceptschoice probability
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concepts[1]0.85the paper's words
conceptsthreshold
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also in: threshold
concepts[2]0.85the paper's words
conceptsefficiency
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also in: efficiency
concepts[11]0.85the paper's words
unhoused_relationsnoise fluctuations → real signal
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PROVED INDISTINGUISHABLE - the FORMAL form / Not 'we could not tell them apart' but 'they cannot be told apart'. AND IT SURVIVES THE OBVIOUS REMEDY: 'These information-limiting correlations cannot be averaged away by appropriately pooling many neurons, because these noise fluctuations are indistinguishable from changes in neural activity induced by a real signal'. The indistinguishability is the REASON pooling fails, so it is load-bearing for the paper's conclusion rather than a caveat on it.
unhoused_relations[0]the tagger's words
sensesTHE LARGEST CORRELATION WITH CHOICE SITS IN THE AREA THAT DOES NOT MATTER: REVERSIBLE CHEMICAL INACTIVATION OF VIP DOES NOT IMPAIR HEADING DISCRIMINATION, DESPITE THE FACT THAT VIP NEURONS EXHIBIT LARGE CHOICE CORRELATIONS - and the same holds in another area, ANOTHER RECENT STUDY OF THE PARIETAL CORTEX (AREA LIP) ALSO REPORTS HIGH CHOICE CORRELATIONS, YET INACTIVATING THIS REGION AGAIN HAS NO DISCERNIBLE EFFECT ON VISUAL MOTION DISCRIMINATION
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senses[0]1.0the tagger's words
sensesand the paper's own summary says the same in its own voice: VIP EXHIBITS HIGH CHOICE PROBABILITIES AND ROBUST NOISE CORRELATIONS MUCH LIKE VN/CN, YET OUR ANALYSIS SUGGESTS THAT VIP IS DECODED SUBOPTIMALLY, IF AT ALL
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senses[1]1.0the tagger's words
sensesTHE FIELD'S STANDARD MEASURE OF A NEURON'S INVOLVEMENT IS THEREFORE NOT A MEASURE OF INVOLVEMENT: the brain LOSES VERY LITTLE INFORMATION BY IGNORING VIP, and the choice correlations there are the largest of the three areas
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senses[2]1.0the tagger's words
sensesTHE PAPER STATES THE RULE THIS PROJECT CALLS WITHIN-RUN COMPARISONS ONLY: IF DIFFERENT BRAIN REGIONS SEEM TO HAVE DIFFERENT CHOICE CORRELATIONS, ONE MUST TAKE CARE TO ACCOUNT FOR DIFFERENCES IN PSYCHOPHYSICAL SENSITIVITY BETWEEN ANIMALS BEFORE CONCLUDING THAT THE DIFFERENCE BETWEEN BRAIN AREAS IS MEANINGFUL - THE SUREST DIAGNOSTIC WOULD BE TO MEASURE CHOICE CORRELATIONS FROM MULTIPLE AREAS WITHIN A SINGLE ANIMAL. The measure has the animal's own threshold in its denominator
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senses[3]1.0the tagger's words
sensesTHE SAME NUMBER MEANS OPTIMAL OR SUBOPTIMAL DEPENDING ON A CONSTANT: SUCH A PATTERN OF CHOICE CORRELATIONS INDICATES OPTIMAL DECODING IF AND ONLY IF THE PROPORTIONALITY CONSTANT EQUALS THE THRESHOLD OF POPULATION ACTIVITY - ALL OTHER VALUES OF THE PROPORTIONALITY CONSTANT REFLECT SUBOPTIMAL DECODING. The pattern alone is not the finding
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senses[4]1.0the tagger's words
sensesand a scale above one is diagnostic of the opposite of what it looks like: CHOICE CORRELATIONS PROPORTIONAL BUT NOT EQUAL TO THE OPTIMAL PREDICTION OCCUR ONLY WITH SOME DEGREE OF SUBOPTIMAL DECODING - WHENEVER THE CHOICE CORRELATIONS HAVE β ≠1, THE EFFICIENCY IS LESS THAN 1
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senses[5]1.0the tagger's words
sensesTHE COUNTER-INTUITIVE CASE, WORKED OUT: choice correlations LARGER than the optimal prediction arise WHEN BEHAVIOR IS DRIVEN BY ANOTHER, MORE INFORMATIVE, SOURCE OF SENSORY SIGNALS BESIDE THE NEURAL POPULATION UNDER STUDY - a neuron can be perfectly correlated with a choice it plays no part in
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senses[6]1.0the tagger's words
sensesTWO HYPOTHESES ARE ONLY DISTINGUISHABLE IF THE SAMPLE IS DIVERSE: THE PREDICTIONS FOR OPTIMAL DECODING COULD BE SATISFIED EVEN FOR A POPULATION OF NEURONS DECODED SUBOPTIMALLY, LEADING US TO MISCHARACTERIZE A SUBOPTIMAL SYSTEM AS OPTIMAL, and THAT NEARLY HAPPENS FOR A HOMOGENEOUS POPULATION. The discriminating power of the test is a property of the sample, not of the theory
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senses[7]1.0the tagger's words
sensesAND AN EARLIER RESULT HOLDS ONLY UNDER ITS OWN IDEALISATION: WEAK POSITIVE NOISE CORRELATIONS DO NOT ALWAYS PRODUCE LARGE CHOICE CORRELATIONS - THIS IS ONLY TRUE FOR THE MODEL THEY CONSIDER WITH HOMOGENEOUS NEURONS AND HOMOGENEOUS NOISE CORRELATIONS
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senses[8]1.0the tagger's words
sensesA MODEL RULED OUT BY A MATHEMATICAL LAW RATHER THAN BY DATA: SINCE CORTICAL POPULATIONS ARE MUCH LARGER THAN THE SENSORY POPULATION BUT NOT MUCH NOISIER, THE EXTENSIVE INFORMATION MODEL ATTRIBUTES MORE INFORMATION TO THE CORTEX THAN TO THE SENSORS - AND THIS IS PROHIBITED BY THE DATA PROCESSING INEQUALITY
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senses[9]1.0the tagger's words
sensesand one hypothesis killed by an order-of-magnitude argument: THE CHOICE CORRELATIONS WOULD THEN BE CORRESPONDINGLY TINY, AND MOST LIKELY NOT SIGNIFICANTLY DIFFERENT FROM ZERO GIVEN TYPICAL MEASUREMENT UNCERTAINTY - THIS ARGUMENT RULES OUT MODELS IN WHICH THE BRAIN HAS EXTENSIVE INFORMATION AND DECODES IT OPTIMALLY
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senses[10]1.0the tagger's words
sensesTWO CONVENTIONAL EXPECTATIONS REVERSED. First: CHOICE CORRELATION SHOULD BE SMALLER FOR LARGER POPULATIONS SINCE INFORMATION IS DISTRIBUTED ACROSS MORE NEURONS - HOWEVER, IF THE CODE IS REDUNDANT AND DECODED NEAR-OPTIMALLY, THEN THE CHOICE CORRELATIONS DO NOT VARY WITH POPULATION SIZE
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senses[11]1.0the tagger's words
sensesSecond, and it can invert: CHOICE CORRELATIONS SHOULD BE GREATER WHEN NOISE CORRELATIONS ARE LARGER - THIS IS TRUE ONLY FOR A SPECIFIC PATTERN OF CORRELATIONS, OR FOR CERTAIN TYPES OF DECODERS, and CHOICE CORRELATIONS COULD POTENTIALLY RISE EVEN WHILE THE TOTAL NOISE CORRELATION FALLS
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senses[12]1.0the tagger's words
sensesOPTIMALITY IS CHEAP AND THE PAPER SAYS SO: ACHIEVING NEAR-OPTIMAL PERFORMANCE MAY NOT BE SUCH AN IMPRESSIVE FEAT, AS OUR RESULTS IMPLY THAT THE INFORMATION ENCODED IN NEURAL POPULATIONS IS HIGHLY REDUNDANT AND THEREFORE ROBUST TO SUBOPTIMAL DECODING - OPTIMALITY MEASURES THE QUALITY OF DECODING, RATHER THAN THE PARTICULAR NETWORK STRUCTURE USED TO DECODE
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senses[13]1.0the tagger's words
sensesso the label does not identify the mechanism: A BROAD RANGE OF DECODERS MAY ALL PRODUCE SIMILAR NEAR-OPTIMAL PERFORMANCE, and THE TRUE DECODING WEIGHTS COULD RESEMBLE THOSE OF A CORRELATION-BLIND DECODER, OR MANY OTHER DECODERS, AND YET BE NEAR-OPTIMAL
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senses[14]1.0the tagger's words
sensesTHE QUANTITY THE ARGUMENT TURNS ON CANNOT BE MEASURED DIRECTLY: INFORMATION-LIMITING CORRELATIONS ARE DIFFICULT TO ESTIMATE DIRECTLY, THE INFORMATION-LIMITING COMPONENT CAN BE VERY SMALL YET HAVE ENORMOUS EFFECTS ON POPULATION INFORMATION, and MISTAKES CAN RADICALLY CHANGE THE ESTIMATED INFORMATION CONTENT OF A NEURAL POPULATION - so it is inferred from an INDIRECT CONSEQUENCE observable with single neurons
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senses[15]1.0the tagger's words
sensesand it is invisible by construction: INFORMATION-LIMITING NOISE CORRELATIONS MAY HIDE ESSENTIALLY UNNOTICED AMONGST OTHER NOISE CORRELATIONS WITH HIGHER VARIANCE THAT ARISE DOWNSTREAM, because THESE NOISE FLUCTUATIONS ARE INDISTINGUISHABLE FROM CHANGES IN NEURAL ACTIVITY INDUCED BY A REAL SIGNAL
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senses[16]1.0the tagger's words
sensesA PREDICTION WITH NO FREE PARAMETERS, AND THE AUTHORS SAY SO: THE RATIO OF PSYCHOPHYSICAL TO NEURAL THRESHOLDS DID A REASONABLE JOB OF PREDICTING THE MEASURED CHOICE CORRELATIONS - WE EMPHASIZE THAT THIS PREDICTION HAS NO FREE PARAMETERS
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senses[17]1.0the tagger's words
sensesAN ADMISSION THAT THE MODEL CANNOT BE FORCED TO FAIL: WE CAN ALWAYS CONCOCT SOME COMBINATION OF CORRELATIONS AND SUBOPTIMAL DECODERS THAT WOULD BE CONSISTENT WITH FINE DETAILS OF OUR MEASUREMENTS - HOWEVER, THIS WOULD REQUIRE UNPALATABLE FINE-TUNING OF THE MODEL. The conclusion is a parsimony judgment and is labelled as one
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senses[18]1.0the tagger's words
sensesTHE INFORMATION CANNOT BE MANUFACTURED DOWNSTREAM: IF INFORMATION IS NOT AVAILABLE AT THE INPUT, THEN IT CANNOT BE CREATED LATER BY ADDING MORE NEURONS - THOSE EXTRA NEURONS MAY APPEAR TO ADD MORE SIGNAL STRENGTH, BUT THEY ALSO INHERIT NOISE WITH THE SAME STRUCTURE AS THE SIGNAL
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senses[19]1.0the tagger's words
sensesand the empirical answer: THE RESULTANT REGRESSION COEFFICIENTS ON THE SUBOPTIMAL PREDICTORS WERE NEAR ZERO, WHEREAS THOSE ON OPTIMAL PREDICTORS WERE CLOSE TO ONE - THE INFORMATION AVAILABLE IN THE VESTIBULAR AND CEREBELLAR NUCLEI IS USED NEAR-OPTIMALLY, AND BEHAVIORAL PERFORMANCE IS LIMITED PRIMARILY BY CORRELATED NOISE, NOT SUBOPTIMAL DECODING
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senses[20]1.0the tagger's words
alternativesclaim_type: mechanism
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a second reading reaching the same value. Recorded: mechanism — note: a second reading reaching the same value from a different sentence. Not applied - a person decides.
alternatives.claim_typethe tagger's words
alternativesmethod: derive the choice-correlation pattern each hypothesis implies, verify on simulated populations that the two can be told apart, then fit both predictors to recorded neurons by linear regression and compare models by AIC
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a second reading DIFFERING from the recorded value. Recorded: electrophysiology — note: a second reading, verbatim-verified, disagreeing with the value on the record. Not applied - a person decides.
alternatives.methodthe tagger's words
alternativesphenomenon: a correlation between a single neuron's firing and the animal's choice, which is large and common where the theory of the day says it should be immeasurably small
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a second reading DIFFERING from the recorded value. Recorded: choice correlations between sensory neurons and perceptual decisions — note: a second reading, verbatim-verified, disagreeing with the value on the record. Not applied - a person decides.
alternatives.phenomenonthe tagger's words
claim_relationsextends → Haefner, Gerwinn et al. 2013
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claim_relations[0]the tagger's words
claim_relationsbuilds-on → Moreno-Bote, Beck et al. 2014 (differential correlations)
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claim_relations[1]the tagger's words
claim_relationscontradicts → Shamir and Sompolinsky 2006; Ecker, Berens et al. 2011 (extensive-information models of population codes)
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claim_relations[2]the tagger's words
claim_relationsqualifies → Zohary, Shadlen et al. 1994, that weakly correlated noise explains covariation of single neurons with decisions
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differs in: the homogeneity of the model - WEAK POSITIVE NOISE CORRELATIONS DO NOT ALWAYS PRODUCE LARGE CHOICE CORRELATIONS - THIS IS ONLY TRUE FOR THE MODEL THEY CONSIDER WITH HOMOGENEOUS NEURONS AND HOMOGENEOUS NOISE CORRELATIONS
claim_relations[3]1.0the tagger's words
claim_relationscontradicts → models in which cortical populations carry extensive information that is decoded optimally
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differs in: what the choice correlations would then have to be - CORRESPONDINGLY TINY, AND MOST LIKELY NOT SIGNIFICANTLY DIFFERENT FROM ZERO GIVEN TYPICAL MEASUREMENT UNCERTAINTY
claim_relations[4]1.0the tagger's words
claim_relationscritiques → Haefner, Gerwinn et al. 2013's reconstruction of decoding weights from choice probabilities
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differs in: whether information-limiting correlations are present - MANY DIFFERENT DECODING WEIGHT PROFILES CAN EXTRACT NEARLY ALL OF THE AVAILABLE INFORMATION
claim_relations[5]1.0the tagger's words
claim_relationsextends → Haefner, Gerwinn et al. 2013's analysis of choice probability, extended to information-limiting correlations and suboptimal decoding
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claim_relations[6]1.0the tagger's words
claim_relationscontradicts → the expectation that choice correlations shrink as the decoded population grows
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differs in: whether the code is redundant - IF THE CODE IS REDUNDANT AND DECODED NEAR-OPTIMALLY, THEN THE CHOICE CORRELATIONS DO NOT VARY WITH POPULATION SIZE
claim_relations[7]1.0the tagger's words
claim_relationsreconciles → large choice correlations in VIP against the null effect of inactivating it
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status: the paper's own words: preliminary results · differs in: whether the area is decoded - VIP IS NOT DECODED FOR HEADING DISCRIMINATION BUT NONETHELESS CONTAINS INFORMATION THAT IS CORRELATED WITH ANOTHER AREA THAT IS DECODED NEAR-OPTIMALLY
claim_relations[8]1.0the tagger's words
concept_edgesVIP —contrasted-with→ MSTd
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differs in: THE AXIS IS WHETHER THE AVAILABLE INFORMATION IS ACTUALLY USED. 'Quotation withheld.' The areas are not distinguished by what they encode but by what the animal does with it - and 'for this task' bounds it, so the same area could be read efficiently elsewhere. · strength of the relation: 1 · note: Quotation withheld
also in: VIP · MSTd
concept_edges[2]1.0the tagger's words
concept_edgeschoice correlation —operationalised-as→ threshold
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strength of the relation: 1 · note: FOR OPTIMAL COMPUTATION, THE CHOICE CORRELATIONS TAKE THE REMARKABLY SIMPLE FORM OF A RATIO OF DISCRIMINATION THRESHOLDS
concept_edges[3]1.0the tagger's words
concept_edgesoptimal decoding —contrasted-with→ suboptimal decoding
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strength of the relation: 1 · note: BOTH SUBOPTIMAL DECODING AND INFORMATION-LIMITING NOISE CORRELATIONS COULD EXPLAIN THESE TWO PUZZLING PHENOMENA. WHICH IS THE CORRECT EXPLANATION?
concept_edges[5]1.0the tagger's words
concept_edgesdecoder —operationalised-as→ correlation-blind
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strength of the relation: 0.8 · note: THE PARTICULAR CLASS OF SUBOPTIMAL DECODERS WE CONSIDERED... NAMELY THE CORRELATION-BLIND DECODERS, which is QUITE GENERAL, ALTHOUGH NOT ALL-ENCOMPASSING Audit 2026-09-28: DOUBTFUL - read against its span and kept, but correlation-blind decoders are the class considered; operationalised-as is loose.
concept_edges[7]1.0the tagger's words
concept_edgesinformation-limiting —part-of→ noise correlations
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strength of the relation: 0.3 — the record marks this weak · note: INFORMATION-LIMITING NOISE CORRELATIONS MAY HIDE ESSENTIALLY UNNOTICED AMONGST OTHER NOISE CORRELATIONS WITH HIGHER VARIANCE THAT ARISE DOWNSTREAM
concept_edges[8]1.0the tagger's words
concept_edgesdifferential correlations —causes→ choice correlation
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strength of the relation: 1 · note: THE ONLY NOISE CORRELATIONS THAT LEAD TO SIGNIFICANT CHOICE CORRELATIONS ARE THOSE THAT MIMIC THE EFFECT OF THE STIMULUS ON POPULATION ACTIVITY
concept_edges[9]1.0the tagger's words
concept_edgesnoise correlations —contrasted-with→ choice correlation
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differs in: THE AXIS IS THE DECODING REGIME. 'choice correlations should be greater when noise correlations are larger ... This is true only for A specific pattern of correlations, or for certain types of decoders. For SUBOPTIMAL DECODING of highly informative populations, choice correlations DO increase with the overall scale of correlated noise. However, our results instead favor near-optimal decoding, for which most correlations play little role.' The expected relationship is not denied - it is confined to a decoding assumption, and the assumption is not a property of the data. · strength of the relation: 0.4 — the record marks this weak · note: CHOICE CORRELATIONS COULD POTENTIALLY RISE EVEN WHILE THE TOTAL NOISE CORRELATION FALLS Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but choice correlations rise with noise correlations only for certain patterns or decoders; contrasted-with is loose.
concept_edges[10]1.0the tagger's words
concept_edgespopulation —contrasted-with→ choice correlation
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strength of the relation: 0.3 — the record marks this weak · note: IF THE CODE IS REDUNDANT AND DECODED NEAR-OPTIMALLY, THEN THE CHOICE CORRELATIONS DO NOT VARY WITH POPULATION SIZE Audit 2026-09-28: DOUBTFUL - read against its span and kept, but the span discusses how choice correlation scales with population size; contrasted-with is loose.
concept_edges[11]1.0the tagger's words
concept_edgeschoice probability —same-as→ choice correlation
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strength of the relation: 0.8 · note: THIS QUANTITY HAS A SIMPLE, NEARLY AFFINE RELATIONSHIP TO CHOICE PROBABILITY... BUT IT IS CONCEPTUAL SIMPLER AND MATHEMATICALLY MORE CONVENIENT Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but choice correlation has 'a simple, NEARLY AFFINE relationship to' choice probability; same-as is loose.
concept_edges[14]1.0the tagger's words
content_tagsregression
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also in: regression
content_tags.statistics[0]the tagger's words
content_tagsAkaike Information Criterion
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content_tags.statistics[1]the tagger's words
content_tagsbootstrap
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also in: bootstrap
content_tags.statistics[2]the tagger's words
content_tagspermutation test
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content_tags.statistics[3]the tagger's words
content_tagst-test
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also in: t-test
content_tags.statistics[4]the tagger's words
content_tagscorrelation
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also in: correlation
content_tags.statistics[5]the tagger's words
content_tagsROC analysis
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also in: ROC analysis
content_tags.statistics[6]the tagger's words
content_tagsmaximum likelihood estimation
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content_tags.statistics[7]the tagger's words
content_tagsconfidence interval
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content_tags.statistics[8]the tagger's words
content_tagsstandard deviation
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content_tags.statistics[9]the tagger's words
content_tagsAkaike Information Criterion
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content_tags.statistics[10]1.0the tagger's words
content_tagslinear regression
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content_tags.statistics[11]1.0the tagger's words
content_tagst -test
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also in: t -test
content_tags.statistics[12]1.0the tagger's words
content_tagsMore informative neurons - those with lower discrimination thresholds - correlate more strongly with the animal's choice.
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content_tags.findings[0]the tagger's words
content_tagsThe two competing explanations are separable in the data because optimal decoding predicts choice correlations that scale with each neuron's threshold and ignore its preferred stimulus, while correlation-blind suboptimal decoding predicts the reverse.
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content_tags.findings[1]the tagger's words
content_tagsQuotation withheld
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content_tags.findings[2]the tagger's words
content_tagsQuotation withheld
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content_tags.findings[3]the tagger's words
content_tagsMSTd and VN/CN carry redundant heading codes read out near-optimally, whereas the data suggest VIP's information is not used efficiently for this task.
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content_tags.findings[4]the tagger's words
content_tagsHowever the population is decoded, information-limiting noise keeps the variance of any unbiased linear estimator from falling below ε.
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content_tags.findings[5]the tagger's words
content_tagsBecause information-limited population codes are highly redundant, a wide range of suboptimal decoders performs almost as well as the optimal one.
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content_tags.findings[6]the tagger's words
content_tagsConfidence intervals excluded zero from below for only 4 of 339 recorded cells, a proportion that is not significant.
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content_tags.findings[7]the tagger's words
content_tagsNo recorded neuron had a discrimination threshold better than the animal's behavioral threshold once thresholds were corrected for the neuron-antineuron pairing, as optimal computation requires.
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content_tags.findings[8]the tagger's words
content_tagsContrary to the common expectation that choice correlations shrink as the pool of neurons grows, they are independent of population size when the code is redundant and read out near-optimally.
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content_tags.findings[9]the tagger's words
content_tagsREVERSIBLE CHEMICAL INACTIVATION OF VIP DOES NOT IMPAIR HEADING DISCRIMINATION, DESPITE THE FACT THAT VIP NEURONS EXHIBIT LARGE CHOICE CORRELATIONS
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content_tags.findings[10]1.0the tagger's words
content_tagsANOTHER RECENT STUDY OF THE PARIETAL CORTEX (AREA LIP) ALSO REPORTS HIGH CHOICE CORRELATIONS, YET INACTIVATING THIS REGION AGAIN HAS NO DISCERNIBLE EFFECT ON VISUAL MOTION DISCRIMINATION
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content_tags.findings[11]1.0the tagger's words
content_tagsTHE RESULTANT REGRESSION COEFFICIENTS ON THE SUBOPTIMAL PREDICTORS WERE NEAR ZERO, WHEREAS THOSE ON OPTIMAL PREDICTORS WERE CLOSE TO ONE
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content_tags.findings[12]1.0the tagger's words
content_tagsTHE PREDICTION OF SUBOPTIMAL DECODING WAS POORLY MATCHED TO DATA ACROSS ALL AREAS
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content_tags.findings[13]1.0the tagger's words
content_tagsNO NEURONS HAVE A THRESHOLD LOWER THAN THE ANIMAL'S BEHAVIORAL THRESHOLD, AS LONG AS NEURAL THRESHOLDS ARE PROPERLY CORRECTED FOR USE OF A NEURON-ANTINEURON PAIR
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content_tags.findings[14]1.0the tagger's words
content_tagsthe negative choice correlations' 95% CONFIDENCE INTERVALS EXCLUDE ZERO FROM BELOW FOR ONLY 4/339 RECORDED CELLS, A PROPORTION WHICH IS NOT SIGNIFICANT
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content_tags.findings[15]1.0the tagger's words
content_tagsCHOICE CORRELATIONS PROPORTIONAL BUT NOT EQUAL TO THE OPTIMAL PREDICTION OCCUR ONLY WITH SOME DEGREE OF SUBOPTIMAL DECODING
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content_tags.findings[16]1.0the tagger's words
content_tagsIF THE CODE IS REDUNDANT AND DECODED NEAR-OPTIMALLY, THEN THE CHOICE CORRELATIONS DO NOT VARY WITH POPULATION SIZE
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content_tags.findings[17]1.0the tagger's words
content_tagsCHOICE CORRELATIONS COULD POTENTIALLY RISE EVEN WHILE THE TOTAL NOISE CORRELATION FALLS
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content_tags.findings[18]1.0the tagger's words
content_tagsWEAK POSITIVE NOISE CORRELATIONS DO NOT ALWAYS PRODUCE LARGE CHOICE CORRELATIONS - THIS IS ONLY TRUE FOR THE MODEL THEY CONSIDER WITH HOMOGENEOUS NEURONS AND HOMOGENEOUS NOISE CORRELATIONS
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content_tags.findings[19]1.0the tagger's words
content_tagschoice correlation
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content_tags.definitions[0]the tagger's words
content_tagschoice probability
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content_tags.definitions[1]the tagger's words
content_tagsdifferential correlations
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content_tags.definitions[2]the tagger's words
content_tagsdiscrimination threshold
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content_tags.definitions[3]the tagger's words
content_tagsfactorial decoder
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content_tags.definitions[4]the tagger's words
content_tagscorrelation-blind decoder
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content_tags.definitions[5]the tagger's words
content_tagspsychophysical threshold
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content_tags.definitions[6]the tagger's words
content_tagsdecoder efficiency
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content_tags.definitions[7]the tagger's words
content_tagsTHE PROBABILITY THAT A NEURAL RESPONSE ASSOCIATED WITH ONE BEHAVIORAL CHOICE IS GREATER THAN A NEURAL RESPONSE ASSOCIATED WITH THE OTHER POSSIBLE CHOICE
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content_tags.definitions[8]1.0the tagger's words
content_tagsTHE SIGNAL CHANGE REQUIRED TO EXCEED ONE STANDARD DEVIATION OF NOISE
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also in: threshold
content_tags.definitions[9]1.0the tagger's words
content_tagsnoise correlations that MIMIC THE RELEVANT SIGNAL WHICH IS THE DIFFERENTIAL (DERIVATIVE) OF THE MEAN RESPONSES
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content_tags.definitions[10]1.0the tagger's words
content_tagsheading direction
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content_tags.variables[0]the tagger's words
content_tagsdecoding strategy
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content_tags.variables[1]the tagger's words
content_tagschoice correlations, neural thresholds and behavioral thresholds
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content_tags.variables[2]the tagger's words
content_tagsfixation
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also in: fixation
content_tags.variables[4]the tagger's words
content_tagschoice correlation
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content_tags.variables[5]1.0the tagger's words
content_tagsthreshold
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also in: threshold
content_tags.variables[6]1.0the tagger's words
content_tagsr =.26 — correlation between the optimal and correlation-blind predicted choice correlations in simulation, showing the two predictions are nearly independent
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content_tags.quantities[0]the tagger's words
content_tags4/339 — recorded cells whose choice correlation was significantly negative, a proportion no greater than chance
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content_tags.quantities[1]the tagger's words
content_tagsp =.10 — test of whether uninformative (very high threshold) neurons had non-zero choice correlations more often than chance
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content_tags.quantities[2]the tagger's words
content_tags77% (75/97) — share of VN/CN neurons held long enough for at least 20 repetitions per stimulus (with 95% in MSTd and 69% in VIP)
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content_tags.quantities[3]the tagger's words
content_tags30-fold — how much better than a single neuron behavior should be for 1000 optimally decoded neurons with extensive information — far better than observed
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content_tags.quantities[4]the tagger's words
content_tags80% — efficiency of a decoder that reads out only the more informative of two correlated populations in the illustrated covariance case
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content_tags.quantities[5]the tagger's words
content_tagsα =0.9 — simulation setting where 90% of the stimulus-estimate variance came from information-limiting correlations
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content_tags.quantities[6]the tagger's words
content_tags0.1 to 0.5 — typical empirical range of c0, the proportionality between signal and noise correlations
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content_tags.quantities[7]the tagger's words
content_tags500 — number of neurons in each simulated population
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content_tags.quantities[8]the tagger's words
content_tagsEight — rhesus monkeys implanted and recorded from
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content_tags.quantities[9]the tagger's words
content_tags400 msec — spike-count window around peak movement velocity assumed to carry the decision-relevant signal
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content_tags.quantities[10]the tagger's words
content_tags(50) ... (30 repetitions) — neurons and trials per stimulus used in the finite-data simulation, matched to the real experiments
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content_tags.quantities[11]the tagger's words
content_tags4/339 — recorded cells whose negative choice correlation excluded zero - NOT SIGNIFICANT
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content_tags.quantities[12]1.0the tagger's words
content_tagsclose to one — the regression coefficient on the optimal predictor in VN/CN, with the suboptimal coefficient near zero
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content_tags.quantities[13]1.0the tagger's words

Interpretive choices

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© 2026 Shir Sivroni · ORCID 0009-0000-2597-2824