Top-down beta oscillatory signaling conveys behavioral context in early visual cortex

Top-down modulation of sensory processing is a critical neural mechanism subserving numerous important cognitive roles, one of which may be to inform lower-order sensory systems of the current ‘task at hand’ by conveying behavioral context to these systems. Accumulating evidence indicates that top-down cortical influences are carried by directed interareal synchronization of oscillatory neuronal populations, with recent results pointing to beta-frequency oscillations as particularly important for top-down processing. However, it remains to be determined if top-down beta-frequency oscillations indeed convey behavioral context. We measured spectral Granger Causality (sGC) using local field potentials recorded from microelectrodes chronically implanted in visual areas V1/V2, V4, and TEO of two rhesus macaque monkeys, and applied multivariate pattern analysis to the spatial patterns of top-down sGC. We decoded behavioral context by discriminating patterns of top-down (V4/TEO-to-V1/V2) beta-peak sGC for two different task rules governing correct responses to identical visual stimuli. The results indicate that top-down directed influences are carried to visual cortex by beta oscillations, and differentiate task demands even before visual stimulus processing. They suggest that top-down beta-frequency oscillatory processes coordinate processing of sensory information by conveying global knowledge states to early levels of the sensory cortical hierarchy independently of bottom-up stimulus-driven processing.

microelectrodes posterior to the lunate sulcus (areas V1/V2) and extrastriate areas V4 and TEO. Both top-down (V4/TEO-to-V1/V2) and bottom-up (V1/V2-to-V4/TEO) directed synchrony were quantified using spectral Granger Causality in a stationary time period when the animal could anticipate the visual stimulus, but before it was presented. In this way, top-down influences were isolated from any confounding effects of stimulus processing. We successfully decoded behavioral context at a level significantly exceeding chance (50%) in both monkeys (76% and 82%) by two-class multivariate pattern analysis, using the spatial pattern of prestimulus top-down beta synchrony directed from V4/TEO to V1/V2 as the classification feature.
The results of this study indicate that the endogenous pattern of top-down beta influence from V4/TEO carries task-specific information to early visual cortex (V1/V2). We conclude from this that beta oscillations adaptively coordinate the processing of sensory information by conveying behavioral context to early levels of the sensory cortical hierarchy. We infer that behavioral context is conveyed from higher to lower levels of visual cortex by beta-frequency synchronized oscillations because pattern classification analysis successfully discriminated different visuomotor contingencies using higher-to-lower-level beta-frequency visual cortical influences as classification features. Our results thus support the notion that top-down beta-frequency oscillations play a general role in mediating the interaction between high-level cognitive processing and stimulus-related activity.

Materials and Methods
Task. Two well-trained adult rhesus macaque (Macaca mulatta) monkeys (M1 and M2) performed a go/no-go visual pattern discrimination task (Fig. 1). The stimulus set contained four patterns (each belonging to one of two categories): two "lines" and two "diamonds". The task rule determined the stimulus-response contingency that governed whether the correct behavioral response to a visual stimulus pattern type (line or diamond) was go or no-go. It was randomly reversed across trial blocks. Control of behavioral context was achieved by (randomly) changing the task rule.
The stimuli were displayed on a screen at a distance of 57 centimeters from the eyes of the subject. Each of the four stimuli consisted of four solid white dots (0.9 degrees visual angle per side), with two of the dots arranged diagonally on opposite corners of an outer square (six degrees visual angle), and the other two dots arranged diagonally on the opposite corners of an inner square (two degrees visual angle) (Fig. 1). Line stimuli were patterns where the dots on the outer and inner squares were slanted in the same direction, while diamond stimuli had outer and inner dots slanted in opposing directions. Although the V1 recording sites were expected to have a precise retinotopic relation with the stimulus dots, V1 retinotopic mapping was not available for these monkeys. However, the design of the stimulus ensured that categorization could not be accomplished by observing any single dot, and that the total area, contrast, edge length, and brightness were constant across all stimulus types.
The mean level of correct performance was 92.4 +/− 3.9% for M1 (18 sessions, minimum 84%, maximum 97%) and 95.7 +/− 3.3% for M2 (19 sessions, minimum 89%, maximum 99%). Each trial was initiated when the monkey engaged a lever with the dominant hand. When the lever was depressed and maintained in the depressed position, the trial commenced. After initiation of the trial by the lever press, there was a random period of 200-1215 ms before the appearance of the visual stimulus. The visual stimulus was displayed for 100 ms followed by a 400 ms window during which the monkey was required to release the lever on go trials, or maintain lever pressure on no-go trials. Correct go responses were rewarded.
Electrophysiological recordings. In both M1 and M2, local field potentials (LFPs), which index the local synaptic activity of the neuronal population at a recording site 19 , were differentially recorded from bipolar Teflon-coated platinum-iridium microelectrodes (more advanced tip near the boundary between the gray and white matter, less advanced tip at the pial surface) chronically implanted at up to 16 cortical sites in the hemisphere contralateral to the dominant hand (for further details see 20 ). The bipolar microelectrodes were composed of 0.125 mm diameter wires having 2.5 mm tip separation. Electrode positions were verified in both monkeys by postmortem visual inspection and magnetic resonance imaging of M1. New to the present study, recordings were from areas in the ventral visual stream corresponding to V1/V2, V4, and the temporal occipital area (TEO). Recording sites posterior to the lunate sulcus corresponded to V1/V2, while sites within the prelunate gyrus (V4) and posterior inferotemporal cortex (TEO) were designated as extrastriate cortex. Recordings from M1 were from three V1/V2 recording sites, and three extrastriate recording sites. Of these three extrastriate sites, two were in area V4 and one was in TEO. All recording sites were posterior to the posterior middle temporal sulcus. Recordings from M2 were from three V1/V2 recording sites, and one extrastriate site lying in area V4. The LFP from each bipolar recording electrode was differentially recorded, amplified, and band-passed filtered (−6 dB at 1 and 100 Hz, 6 dB per octave falloff) using a Grass model P511J amplifier, and digitized (12 bits/sample at 200 samples/sec). Differential recording reduced the common contributions to the two electrode tips by more than 10000 times, thus excluding propagated fields from more than a few millimeters away and localizing activity to the tissue between the tips of the bipolar electrode. All experiments were performed by Dr. Richard Nakamura at the Laboratory of Neuropsychology of the National Institute for Mental Health. Animal care and recordings were approved and in accordance with National Institute of Mental Health guidelines at the time. Surgical methods were as previously described 20 .
The data used in this report were recorded during multiple daily sessions spanning several months, and have not previously been studied. One session was recorded from each monkey per day with a typical recording session composed of 1000 trials. The study employed 18 and 19 sessions from M1 and M2, respectively. Visual and automated artifact rejection reduced the number of correct trials (including both go and no-go responses) available for spectral analysis to 10178 and 8267 for M1 and M2, respectively. An analysis of interactions between other cortical areas in the same monkeys was previously published 21 . However, the current report represents a new analysis of interactions between visual cortical areas. Since interactions between extrastriate cortex and V1/ V2 are known to be hierarchical, this study used these regions to investigate cortical top-down and bottom-up influences.
Data acquisition began 85 msec before stimulus onset. Data were not recorded immediately following the lever press due to data storage limitations, and so it was not possible to analyze the temporal evolution of changes taking place between the lever press and the stimulus. Neural activity evoked by the stimulus was absent during the prestimulus period 20 .
Experimental design and statistical analysis. Analyses were conducted on two adult rhesus macaque monkeys (Macaca mulatta). The task design ensured each monkey was unaware of the identity of the impending stimulus, such that cortical processing related exclusively to the task stimulus-response contingency of a given block could be analyzed during the pre-stimulus period. Statistical analysis consisted of non-parametric randomization tests or when necessary, estimates of the standard error were derived via bootstrap methods 22 , which formed the basis for the statistical inference.
Spectral analysis. Short-window autoregressive (AR) spectral analysis was performed on all available prestimulus (85 ms) LFP time series data. AR spectral analysis involves application of Fourier-based techniques to an AR model rather than directly to the LFP data. These techniques were utilized instead of direct-data Fourier-based techniques since the spectral resolution of the latter is not sufficient for the short time window analyzed 23 , whereas the spectral resolution and minimal frequency that may be resolved by the AR approach are not limited by the data period that is analyzed 24,25 . Supplementary Figure S1 provides a detailed simulation demonstrating this advantage of AR modeling. Despite this advantage, AR models might be unstable at low frequencies and near the Nyquist frequency, and so we limited analysis to frequencies between 5 and 90 Hz, based on the 200 Hz sampling frequency of the data. To ensure that each trial of local field potential data could be considered a realization of a zero-mean stochastic process, as required by the AR modeling procedure, the ensemble average was subtracted from each trial for each recording site included in the model 26 . A model order of 10 was used based on the Akaike Information Criterion (AIC) and previous determination that this value is optimal for this type of data 21 . Extensive testing revealed that the spectral results of this study were not sensitive to the choice of 10 as the model order. In fact, recomputing AR models, with model order varying from 5 to 15, produced spectral peaks having the same peak frequency but differing in peak width (increasing width with decreasing model order).
Subtracting the mean value of the trial ensemble from each trial of the prestimulus V4/TEO and V1/V2 local field potential time series allowed the LFPs to be treated as stochastic processes with stationary mean and variance 27 . We constructed two AR models (restricted and unrestricted) each for each pair of LFPs, represented in the following as variables X and Y. (Definitions are given for AR models of X. Similar definitions may be given for Y).
First, the restricted AR model of X is defined as: where X t represents the present value of X, X t−i represents past values of X, α 1i are the model coefficients, m is the model order, and ε 1t is the restricted residual error. Second, X may also be represented by the unrestricted AR model: where Y t−i represents past values of Y, α 2i and β 2i are model coefficients, and ε 2t is the unrestricted residual error. Spectral power, coherence, and Granger Causality were computed by well-established methods 26,28 . For a value of spectral Granger Causality (sGC) to be significant requires that the unrestricted residual error variance be significantly less than the restricted residual error variance. This requirement also controls for the fact that the number of parameters is greater in the unrestricted than the restricted model. The expression for sGC has a natural interpretation as the fraction of the total power of X that is predicted by Y. It is expressed as a ratio, where the numerator represents the total power of X at a given frequency ω, and the ScientiFic RepoRTS | (2018) 8:6991 | DOI:10.1038/s41598-018-25267-1 denominator represents the intrinsic power, i.e. the power not predicted by Y. If the intrinsic power equals the total power, it means that Y provides no additional predictability of X (in the unrestricted model) above that provided solely by the past of X alone (in the restricted model). In the restricted AR model (Equation 1), the causal influence from Y to X must be zero. The causal power is the amount of additional predictability provided by Y in the unrestricted AR model (Equation 2).
sGC can also be viewed as a directional decomposition of neuronal synchronization via its relationship with coherence. The total interdependence is the sum of: (1) the sGC from stochastic process X to stochastic process Y; (2) the sGC from Y to X; and (3) the instantaneous causality, which accounts for instantaneous correlation between X and Y, as would be caused by a mutual simultaneous input to X and Y (see 26 ).
To facilitate statistical analysis, site pair identification, and pattern classification, AR spectral estimates were computed on 1000 bootstrap resamples of the data 22 , and then averaged over sites (for power spectra) or site pairs (for coherence and sGC spectra). The resulting mean of the resampled spectra is equivalent to the spectrum that would result from an AR model fit over all trials.
To determine frequencies where the top-down and bottom-up spectra significantly differed, a directional asymmetry analysis was performed according to the following procedure 15 : 1000 bootstrap spectra gave rise to 1000 difference spectra computed (over the entire spectrum from 5 to 90 Hz) as the top-down (V4/TEO to V1/ V2) GC spectrum minus the bottom-up (V1/V2 to V4/TEO) GC spectrum for each bootstrap resample. The standard error of the directional asymmetry was then computed from the bootstraps via the following equation 22 : To correct for multiple comparisons across frequencies the maximal absolute deviation of each bootstrap difference spectrum from the mean of all bootstrap difference spectra was calculated for each frequency 15 . This resulted in the following modification to Equation 3: where ω indexes each frequency of the spectrum. The resulting standard error was then the maximal standard error that could have been generated across all frequencies and was thus the omnibus standard error [29][30][31] . Using this standard error, a confidence interval of the mean corresponding to a two-tailed test of p < 0.001 was derived as: where n is the number of trials, and the standard error is multiplied by the t-value with df = n − 1, at the 99.95 th percentile of student's t-distribution. Statistical significance was then assessed at those frequencies where the confidence interval did not contain zero. The frequencies where top-down and bottom-up sGC spectra were significantly different (p < 0.001) are indicated by the shaded grey region in Fig. 2d, indicating that significant directional asymmetry (top-down sGC > bottom-up sGC) only exists in a limited portion of the spectrum around 16 Hz.
Removal of 1/f background component. The V1/V2 and V4/TEO power spectra had a large 1/f background component that masked the beta oscillatory component 32 . To observe the oscillatory component, it was necessary to remove this background component. Power in microvolts was first converted to dB, and then the data were linearized with a logarithmic transform and a line was fit to the data via robust regression between 5 and 30 Hz, using the Welsh weighting function. The resulting regression coefficients were used to specify an exponential function, which was subtracted from the non-log transformed data. The residual is plotted in Fig. 2a,b as the de-noised power spectra. The fitting region of 5-30 Hz was roughly centered on the dominant top-down beta peak frequency of 16 Hz, such that the robust fit would maximally expose deviations from linearity at this frequency after the log-transform. A wider fitting region would result in greater error due to the contribution of deviations from other possible spectral concentrations, such as in the gamma or delta bands. This also explains why the resulting residual spectrum appears clipped at zero, which is due to the power after the subtraction of the estimated 1/f background component becoming less than zero as a result of error at the left and right extrema of the fit.

Identification of top-down spectral peaks.
A total of twelve V4/TEO-V1/V2 pairs of the recording sites in M1 and M2 were possible. Our goal was to identify the site pairs which had a significant top-down (V4/TEO to V1/V2) spectral peak in the range of frequencies showing significant directional asymmetry (as depicted by the grey region on the mean (across-pair) spectra of Fig. 2d). To accomplish this aim, top-down sGC spectra were first computed over the 1000 bootstrap resamples (taken from all trials). Spectral peaks between 5 and 90 Hz were then identified in each bootstrap resample (using the findpeaksG.m Matlab function written by T.C. O'Haver) for all site pairs in the study. Each peak was then tested for significance at the p < 0.05 level against a null distribution.
The null distribution was created as follows: (1) for one null resample, trial order was randomized so that for each AR model the order of trials for site 1 was random with respect to site 2; (2) AR models were fit, and sGC spectra derived; (3)  top-down sGC spectra; and (4) steps 1-3 were repeated 1000 times to create the null distribution. This procedure controlled for the possibility of spurious results due to multiple comparisons across frequencies and pairs.
The empirical probability density for significant top-down sGC spectral peaks, computed as a function of frequency between 5 and 90 Hz from all site pairs and bootstrap resamples, and fit via a smoothing spline (with a smoothing parameter of 0.075), is presented in Fig. 3a. The largest concentration of significant top-down peaks was observed at approximately 16 Hz. To focus analysis on this largest concentration, we computed the empirical probability density by selecting the top-down spectral peak closest to the ~16 Hz peak for all site pairs and bootstrap resamples (shown in Fig. 3b). To isolate site pairs with a consistent top-down spectral peak concentration sufficiently near the average (~16 Hz), we computed the mean peak frequency over pairs for each bootstrap (solid vertical line in Fig. 3b) and derived its standard error via Equation 3. This allowed us to compute the 95% confidence interval via Equation 5 (vertical dashed lines in Fig. 3b). The site pairs having their mean peak frequency inside this 95% confidence interval were considered to have a top-down spectral peak sufficiently close to the peak significant directional asymmetry, indicating that they may be members of a synchronized oscillatory network.
To ensure that the top-down sGC peaks were not driven by differences in signal to noise ratio, we computed the spectral asymmetry for each pair as the difference between top-down sGC and bottom-up sGC, and compared this difference to the same quantity computed on the time reversed data. As proposed by 33 , if the difference between the net flow and reverse-net flow is significantly different from zero, then the causal relation is not rejected as spurious, since spurious contributions will not reverse. The test involved computing a single-sample t-test (df = 10) for each pair between the net flow difference (net flow -reverse-net flow), and zero, with the two-tailed p-value for all pairs being significant at p < 0.05 after Bonferroni correction for multiple comparisons.

Pattern classification.
A linear Support-Vector-Machine (SVM) was implemented via libSVM 34 to attempt to classify the spatial patterns of prestimulus top-down sGC according to which stimulus-response contingency (task rule) was in effect 35 . The go response was the correct response to a line stimulus for contingency 1 trials (no-go response to diamond stimuli), whereas the go response was the correct response to a diamond stimulus for contingency 2 trials (no-go response to line stimuli). The spatial patterns used to train the SVM corresponded to the set of significant magnitudes of the top-down sGC pairs shown by arrows in Fig. 4. The machine learning process progressed, individually for M1 and M2, as follows: (1) The trial data for each contingency were randomly split in half into testing and training sets.
(2) A bootstrap resample was drawn for the training and testing sets of each contingency, AR models were fit, and top-down sGC spectra were derived. This procedure was repeated 200 times, resulting in 200 exemplars of the top-down sGC pattern, for both training and testing sets of each contingency. (3) The SVM pattern classification feature for each site pair in each of the 200 bootstrap resamples was taken as the magnitude of the closest top-down sGC peak to 16 Hz. If all pairs did not exhibit a peak for a particular bootstrap resample, that resample was deleted. Deletion was a rare event that occurred for less than ½ a percent of all bootstrap resamples (M1: 0.32%, M2: 0.041%). The resulting top-down sGC values were normalized (converted to z-scores) so that each feature (top-down sGC magnitude) had a mean of zero, and unit variance across training and testing sets of both contingencies. Thus the data were not disturbed relative to each condition (training and testing set, and contingency), but the SVM features were balanced 36 . (4) The classification model was created by fitting the linear SVM, with a cost parameter of 1, to the data of the testing set. (5) The classification model from 4) was validated by application to the training data, resulting in a scalar classification accuracy.
These steps together, comprising a delete-d jackknife cross-validation procedure, were repeated 5000 times, producing a mean classification accuracy, and an estimate of its standard error.
Statistical evaluation of the SVM results was performed via application of delete-d jackknife cross-validation 22 . Delete-d jackknife cross-validation entails training (model fitting) on a portion of the total data (n − d), and then testing the model accuracy on the remaining d samples. This is an attractive approach for the current problem since sGC is biased as a function of the number of trials. Thus, by selecting d to be half the data, the bootstrap sGC will have equal trial numbers yielding equivalent bias across training and testing groups and between contingencies. Since the number of contingency 1 and contingency 2 trials was not exactly equal, each bootstrap resample used selections with n equal to the contingency with the lowest number of trials. The delete-d jackknife standard error is computed according to the following formula: Hz from all V1/V2-extrastriate pairs and bootstrap resamples (grey shaded distribution). The mean peak frequency (~16 Hz) across pairs and bootstraps is shown as a solid black vertical line with the 95% confidence interval bounded by vertical dashed lines. The probability density for site pairs having their mean peak frequency inside this 95% confidence interval is shown by the red shaded distribution. The mean peak frequency (±1 standard deviation) is shown for each of the 12 site pairs, with that for the 8 having their mean peak frequency inside this 95% confidence interval shown by red bars, and that for the other 4 site pairs shown by blue bars.
where n is the number of trials, ( ) n d is the total number of possible selections of d elements that can be made from n, θ ⁎ z ( ) is the statistic computed on each of the possible subsets, and θ ⋅ ⁎ ( ) is the mean of that statistic over subsets. In the current case of approximately 10 000 trials per monkey, the number of possible subsets is effectively infinite. However, a Monte Carlo approach known as the jackknife-sampling variance estimator (JSVE) well approximates the variance of the estimator 37 . The standard error based on the JSVE method is estimated as: where M is a random number of subsets of d selected from the total possible. Even when M is dramatically smaller than the total number of possible selections, the JSVE still outperforms a number of estimators, such as the bootstrap 37 . Figure 5 shows that in the current data the standard error estimate quickly reaches an asymptote as M exceeds 250 subsamples, and remains very stable as it approaches the 5 000 subsamples used to estimate the standard error. In addition, the estimation error falls to negligible levels as M increases beyond. Using the standard error derived via the JSVE procedure, a single-sample t-test was conducted to determine if the mean classification accuracy differed from the chance level of 50%.
Data Availability. The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

Prestimulus Beta-Frequency Oscillatory Synchrony in Visual Cortex. Beta-frequency oscillations
in V1/V2 and V4/TEO were detected as spectral peaks near 16 Hz in the de-noised LFP power spectra (Fig. 2a,b) computed during a brief prestimulus window. Generally, LFP time series are well described as stochastic processes, and spectral power peaks indicate the frequency and magnitude of narrow-band oscillatory activity in those processes. During the prestimulus period, the monkey had already pressed a lever (and maintained it in the depressed position) to begin the trial, and was awaiting well known visual stimuli. Prestimulus synchronization of the V1/V2 and V4/TEO beta-frequency oscillations was observed as a peak in the average V1/V2-extrastriate coherence spectrum at 17 Hz (Fig. 2c). A peak in the coherence spectrum indicates narrow-band synchronization between the two processes used to derive it.

Prestimulus Oscillatory Synchrony Supports Top-down Signaling to V1.
Based on this strong tendency for prestimulus V1/V2 and V4/TEO LFPs to oscillate in the beta frequency range, we hypothesized that beta-frequency synchrony supports top-down signaling from extrastriate cortex to V1/V2. To test this hypothesis, we next computed bottom-up and top-down spectral Granger Causality (sGC) between LFPs in V1/V2 and V4/ TEO. The sGC measures statistical causality at spectral frequencies in the Nyquist range, quantifying the degree to which the prediction of a value of one time series can be improved by knowledge of the past values of another time series as a function of frequency. The mean top-down sGC spectrum showed a peak at 16 Hz, closely matching the frequency of the power peaks and coherence peak, while the mean bottom-up sGC spectrum did not show a beta peak (Fig. 2d). A peak in the sGC spectrum indicates narrow-band directed synchrony between the two processes used to derive it. This result supports the hypothesis that beta-frequency synchrony underlies top-down signaling from extrastriate cortex to V1/V2. According to the known relation between coherence and sGC, we inferred that synchronization between V1/V2 and extrastriate areas is dominated by a top-down transfer of information from extrastriate cortex to V1/V2.
To more precisely determine the difference between top-down and bottom-up sGC spectra shown in Fig. 2d, we tested for an sGC directional asymmetry at all frequencies between 5 and 90 Hz using a bootstrap resampling approach. We found top-down sGC to be significantly greater than bottom-up sGC only for frequencies between 8 and 23 Hz (grey region in Fig. 2d); this range was centered very close to the 16 Hz mean top-down peak (p < 0.001, two-tailed corrected bootstrap resampling test, n = 12). In fact, the probability density of top-down sGC peaks was most prominent in the low-beta-frequency range, with the peak probability density at ~16 Hz being at least 2.5 times larger than at any other frequency examined (Fig. 3a). These results point to the presence of top-down physiological signaling from extrastriate low-beta-frequency oscillatory generators to V1/V2 low-beta-frequency generators in subjects awaiting stimulus presentation as they performed the visual pattern discrimination task.

Prestimulus Top-down Directed Beta-Frequency Synchrony Predicts Behavioral Context.
The evidence for top-down V4/TEO to V1/V2 physiological signaling suggested that the transmission of top-down influences from V4/TEO to V1/V2 may carry task-related behavioral information. We therefore tested the hypothesis that the spatial pattern of top-down beta-frequency sGC contains task-specific behavioral information. To perform this test, we applied a linear Support-Vector-Machine (SVM) classifier, using the top-down beta-frequency peak sGC magnitudes as classification features, in order to predict the task rule (behavioral context) that was in effect. The top-down beta-frequency peak sGC magnitudes used for classification were from the 8 site pairs (out of the 12 possible) that exhibited two important properties: (1) the mean peak frequency was inside the 95% confidence interval of the overall mean of 16 Hz; and (2) the standard deviation of peak frequency was low (Fig. 3b, red bars). These 8 site pairs thus showed a consistent top-down directed synchrony in a narrow frequency band around 16 Hz. By contrast, the other 4 site pairs had their mean peak frequency outside the 95% confidence interval and had a large variability of that peak frequency (Fig. 3b, blue bars). They thus did not show a consistent top-down directed synchrony in a narrow frequency band. The subsequent analysis focused on these 8 site pairs showing consistent top-down directed synchrony in a narrow frequency band around 16 Hz.
The spatial patterns of these consistent top-down narrow-band beta-frequency sGC peaks, and of their corresponding coherence peaks, are depicted in the maps of Fig. 4, where peak coherence is represented by lines connecting V4/TEO and V1/V2 electrode sites, peak sGC is represented by arrows from a V4/TEO site to a V1/ V2 site, and line or arrow thickness represents the magnitude of peak coherence or sGC.
We found that top-down, but not bottom-up, sGC was highly correlated with coherence ( Fig. 6). At 16 Hz there was a significant linear correlation (R(6) = 0.90, p < 0.005, Bonferroni corrected) between top-down sGC and coherence values, and top-down sGC explained 81% of the variance in coherence (Fig. 6a). By contrast, bottom-up sGC and coherence were not significantly correlated (R(6) = 0.55, p = 0.315, Bonferroni corrected). We also computed the correlation between sGC and coherence at 16 Hz after first aligning the mean sGC and coherence magnitudes and standardizing the variance of each pair over bootstraps (Fig. 6b). Even after this normalization, the fraction of the coherence variance explained by the top-down sGC of the 8 site pairs having consistent top-down narrow-beta-band directed synchrony (48%) greatly exceeded that explained by the bottom-up sGC of these site pairs (16%), and even more greatly exceeded that explained by the top-down sGC of the other (inconsistent) 4 site pairs (4%). Support-Vector-Machine (SVM) pattern classification, with the set of top-down narrow-beta-band peak sGC values (taken from the 8 consistent site pairs) as classification features, provided evidence that top-down beta-frequency sGC encodes the task rule (Fig. 7). The classification accuracy was 76% for M1, which was significantly greater than the 50% chance classification level (t(10177) = 2.05, p = 0.020), and 82% for M2, which was also significantly greater than the chance level (t(8266) = 2.70, p = 0.004). The results were verified by applying a linear discriminant analysis pattern classifier to the same classification data.
To ensure that these results were specifically due to a difference in beta-frequency spectral peak magnitudes between task contingencies, we performed an additional statistical contrast where the classification was based on the top-down sGC magnitude at frequencies randomly selected between 5 and 50 Hz. This resulted in classification accuracies that were near the 50% chance level (Fig. 7: M1: 51%, t(10177) = 0.21, p = 0.42); M2: 56%, t(8266) = 1.12, p = 0.132)), thus demonstrating that significant classification performance critically depends on the peak frequencies in a narrow beta-frequency band. To summarize, these results demonstrate that a top-down narrow-beta-band synchrony directed to V1/V2 from V4/TEO exists in a brief prestimulus window in monkeys highly trained to perform a visuomotor pattern discrimination task, and that this top-down narrow-beta-band directed synchrony predicts the task rule that is in effect. Since task rule determines the behavioral context under which the monkey was performing, the results indicate that behavioral context is conveyed to V1 from extrastriate cortex by top-down beta oscillatory signaling.

Discussion
We report that prestimulus top-down beta-frequency directed synchrony in visual cortex discriminates the task rule (behavioral context) that governs correct behavioral performance. Our results indicate that task-related behavioral context is conveyed by endogenous top-down neural influences from extrastriate visual cortex (V4/ TEO) to V1/V2. Extrastriate visual cortex itself likely receives contextual information via influences from higher level areas located in frontal and parietal cortex, via known anatomical projections 38,39 . Overall, our findings support a cortical model in which contextual information about the behavioral significance of expected stimuli is propagated to V1 by a cascade of top-down influences flowing down a cortical hierarchy 5 .
This main finding is based on the observation that before stimulus presentation in a visuomotor pattern discrimination task, top-down directed synchrony is found in a narrow frequency band around 16 Hz for a majority of the site pairs examined. This result suggests the existence of an anticipatory network of visual cortical neuronal populations that are phase-synchronized in a narrow beta-frequency band. The findings of this report are thus consistent with the concept of phase-synchronized large-scale cortical networks that have previously been proposed to operate in cognition 10,38,[40][41][42][43][44] .
The sGC technique 28 that we employed to measure directed synchrony is based on a well-principled and long-established methodology 27 . Although several studies (e.g. 45,46 ) have attempted to infer cortical information transfer from the sign of oscillatory phase difference, it has previously been demonstrated that phase difference may not accurately reflect the direction of influence in cortical circuits 21,47,48 .
The linear SVM pattern classification technique was used to discriminate task rule based on top-down beta-frequency directed synchrony entirely from within visual cortex. The classification results were validated by linear discriminant analysis. The classification findings may be considered surprising given that visual cortex is not traditionally considered to process task rules. However, they are consistent with an expanding body of evidence showing that visual processing is contextual 2 , and that V1 can be "pre-tuned" in preparation for visual perception 49 . Only correct trials were considered in this study. Too few incorrect trials were left for analysis after artifact rejection, and so comparison of correct and incorrect performance was not possible.
The top-down extrastriate-to-V1/V2 directed synchrony that we report is in the beta frequency range (~16 Hz), consistent with a growing number of reports relating interareal beta-frequency interactions to endogenous cognitive processing (see reviews) 3,50 . Although beta oscillations have previously been most associated with somatosensory-motor function 51 , accumulating evidence supports the idea that they occur throughout the Figure 7. SVM Classification of Task Contingency. Classification accuracy ± s.e.m. based on V1/V2extrastriate top-down narrow-beta-band sGC peak magnitudes (left group) and randomly selected sGC magnitudes between 5 and 50 Hz (right group). The top-down sGC peak-based classifier significantly exceeded chance (dashed line) for M1 (76%, t(10177) = 2.05, p = 0.020) and M2 (82%, (t(8266) = 2.70, p = 0.004). The SVM classifiers based on randomly selected magnitudes were near the chance level (50%). brain during wait periods when subjects are prepared for a sensory event or for motor behavior 17 . We now report that in visual cortex they mediate the expectancy of visual processing. Moreover, our finding that top-down beta-frequency synchrony directed to V1/V2 predicts behavioral contingency suggests that beta oscillations may also actively convey endogenous, task-related contextual information to lower-order areas in other (non-visual) sensory systems.
The precise neuronal mechanism by which top-down influence operates in visual cortex is unknown. However, our results suggest that it is modulatory. A likely mechanism is that top-down influences from extrastriate cortex modulate V1/V2 inhibitory interneurons to increase their synchrony and their response gain [52][53][54][55] . V1/V2 inhibitory interneurons may in turn control the output of the infragranular tall pyramidal neuron, thought to be the principle projection neuron from V1 to non-sensory thalamic and cortical areas 56 . Since descending fiber pathways to V1 terminate in infragranular layers, where prominent beta activity occurs 57 , it is likely that top-down modulatory influences target the infragranular layers, as suggested by modeling studies 52 .
The fact that no stimulus was present during the analysis period of our study suggests the reason why we did not observe prominent gamma-frequency influences. It may be that descending beta and ascending gamma influences can be decoupled in time. If so, top-down beta influences to V1/V2 prior to stimulus onset may modify subsequent V1/V2 stimulus responses. At times, top-down beta influences may also interact directly with stimulus-driven input. Both mechanisms dictate that feedforward stimulus-driven input carried by gamma oscillations is constrained by behavioral context, via descending beta frequency modulation 12,14,15,58 .
Taken together, our results argue for the idea that extrastriate cortex transmits top-down influences to V1/V2 when well-trained monkeys expect a familiar visual input. We find that these influences (1) depend on synchronous activity between extrastriate and V1/V2 neuron populations, and (2) carry behaviorally relevant task information. The evidence provided here supports the hypothesis that top-down influences from higher areas within the visual cortical hierarchy dynamically constrain lower-level activity in an adaptive, task-specific manner.