Abstract
The trade-off between speed and accuracy of sensory discrimination has most often been studied using sensory stimuli that evolve over time, such as random dot motion discrimination tasks. We previously reported that when rats perform motion discrimination, correct trials have longer reaction times than errors, accuracy increases with reaction time, and reaction time increases with stimulus ambiguity. In such experiments, new sensory information is continually presented, which could partly explain interactions between reaction time and accuracy. The present study shows that a changing physical stimulus is not essential to those findings. Freely behaving rats were trained to discriminate between two static visual images in a self-paced, two-alternative forced-choice reaction time task. Each trial was initiated by the rat, and the two images were presented simultaneously and persisted until the rat responded, with no time limit. Reaction times were longer in correct trials than in error trials, and accuracy increased with reaction time, comparable to results previously reported for rats performing motion discrimination. In the motion task, coherence has been used to vary discrimination difficulty. Here morphs between the previously learned images were used to parametrically vary the image similarity. In randomly interleaved trials, rats took more time on average to respond in trials in which they had to discriminate more similar stimuli. For both the motion and image tasks, the dependence of reaction time on ambiguity is weak, as if rats prioritized speed over accuracy. Therefore we asked whether rats can change the priority of speed and accuracy adaptively in response to a change in reward contingencies. For two rats, the penalty delay was increased from 2 to 6 s. When the penalty was longer, reaction times increased, and accuracy improved. This demonstrates that rats can flexibly adjust their behavioral strategy in response to the cost of errors.
INTRODUCTION
The temporal dynamics of decision making have been most thoroughly studied using the random dot motion task, in which a number of randomly positioned dots move coherently in one of two directions (the signal), while a number of other randomly positioned dots move in random directions (the noise). Thus information about the direction of coherent motion is embedded in noise, and averaging over time improves the signal-to-noise ratio of the sensory information available in the physical stimulus. When human and primate subjects perform this task, subjects wait longer to respond when the stimuli are less coherent (more ambiguous), and there is a trade-off between accuracy and speed (). Speed–accuracy trade-off in primate vision has been the subject of a rich experimental and theoretical literature (; , ; ; ; , ; ; ; ; ; ; , ; ; ; ; ; ).
Compared with primates, little is known about the trade-off of speed and accuracy in sensory decisions by rodents. In the past decade, studies have begun to address this question in rodents using olfactory (; ; , ; ; ; , ) and auditory (; ; ) tasks. For the case of rodent vision, it was recently shown that that when rats perform the random dot visual motion task, accuracy improves with viewing time and viewing time increases with the discrimination difficulty (). The improvement in accuracy with reaction time required the presence of the ongoing motion stimulus. This raised the question whether this improvement with viewing time required that the stimulus be dynamically updated with new independent evidence for the decision (as is the case with random dot motion), or whether the same would hold true when the stimulus was well above-threshold and static. In motion discrimination, the increase in reaction time with difficulty was smaller than expected for integration to a bound, and more resembled the responses of humans and monkeys when given a deadline or instructed to prioritize speed over accuracy. Moreover, the increase in reaction time with difficulty was found even under conditions (after stimulus offset) when the delay impaired rather than improved reward outcome. Thus the dependence of reaction time on difficulty could reflect confidence (; ) rather than sensory integration time. It remained unclear, then, whether rats have the capacity to prioritize accuracy any more highly in this task, and whether doing so would result in a change in speed.
To address these questions, this study describes the relationship between reaction time and accuracy in the responses of rats discriminating between high-contrast static visual images. The visual similarity of the image pair was varied parametrically by image morphing. Rats’ ability to modulate reaction time in response to task demands was tested by changing the duration of the error penalty.
MATERIALS AND METHODS
ANIMALS
Twelve female Long-Evans rats (Harlan) were water restricted and trained to perform visual tasks for water reward (). Subjects began training at age p30 for 2 h/day 7 days a week. Subjects performed 500–1500 trials per day, and received water in 50% of trials when performing at chance. No supplemental water (outside of the task) was given at any time, but carrots were given after each training session. During training sessions subjects had free access to return to the home cage at any time; thus they had access to food during periods of water consumption. On this protocol, all subjects maintained normal growth curves (within 5% of published values for unrestricted food and water). Between training sessions, subjects were pair-housed with enrichment (chew toys, PVC tubes). Subjects were housed in a reverse 12 h light/dark cycle and were trained and tested in the housing environment during the dark cycle. All 12 rats that began the study learned the task and completed the study. The total training time in calendar days from naive animal to beginning the testing phase (shaping steps 1–5) ranged from 29 to 108 days (56.1 ± 26.3, mean ± SD), corresponding to ages between p59 and p138. The calendar days required to complete the testing period (step 6) ranged from 20 to 42 days (27.4 ± 5.9, mean ± SD). All procedures were performed with the approval and under the supervision of the UCSD IACUC, within an ALAAC accredited animal facility. The image discrimination task was described previously (). The reaction time data reported here were collected from the pre-lesion and un-lesioned subjects of that earlier study.
APPARATUS
The training apparatus and software are described in detail in . Briefly, training occurred in a small, clear Lucite training chamber with a CRT monitor visible through one wall (Figure 1A). The CRT monitor (NEC FE992-19, 100 Hz, 1024 × 768 resolution) was linearized with a minimum, mean, and maximum luminance of 4, 42, and 80 cd/m2, respectively (Colorvision, spyder2express). From the position of the center request port, the monitor was about 10 cm from the rat’s eye and subtended 104° of visual angle (0.1 degrees/pixel). Images were displayed immediately above the two response ports and subtended about 35° of visual angle (shaping steps 3 and 4) or 20° (shaping steps 5 and 6) in their maximum dimension. A central “request” port was located near the bottom of the display wall; two “response” ports were located 90 mm left and right of this. Request and response ports were triggered by licking a water tube, which was detected when the rat’s tongue broke an infrared beam. Lick times were the only recorded behavioral output; nose position was not separately monitored. The volume of water drop delivered for reward was determined by the duration of valve opening (50 ms) on a low-pressure water line. Due to pressure variations, the precise volume varied from day to day, but was matched across the ports.
FIGURE 1
In this apparatus, response required locomotion, which introduces a time and effort cost for the rat. This may increase the rats’ prioritization of accuracy in our tasks overall. Although long and variable response times might have overwhelmed any systematic differences between stimulus and reward conditions, we found that such differences could still be resolved. Nevertheless, other response modalities can be executed and detected more quickly, and could be used to place tighter bounds on the time required for rats to make sensory decisions.
SHAPING
In preliminary shaping, subjects moved through four shaping steps (Table 1) to acquire a two alternative forced-choice (2AFC) visual discrimination between static grayscale photographic images of two real world objects (a statue and a space shuttle; Figure 1B). In this and all subsequent steps, each trial was initiated by the subject by licking a central request port, which caused the two images to appear on the screen, one above each response port. The rewarded (S+) stimulus was randomly assigned to either the left (L) or right (R) side of the screen, and the unrewarded (S-) stimulus to the other side. The two images were large and high contrast, and were matched in luminance, size, contrast, and orientation. The images persisted until the subject licked a response port (L or R), with no time limit. Responses at the port co-localized with the S+ stimulus were rewarded with water delivered at the same location with <10 ms delay, after which the subject could immediately initiate a new trial. Responses at the port co-localized with the S- stimulus were penalized with a timeout of 2–8 s before a new trial could be initiated. After each correct trial, the S+ stimulus was assigned to L or R side with equal probability. After an error trial, however, there was a fixed probability (0.25–0.5) of entering a correction trial instead, in which case the S+ stimulus was deterministically placed at the port opposite the previous trial’s response. This method was highly successful in helping rats overcome bias (overall preference for one response port over the other) as well as perseveration (preference to return to the most recently visited or recently rewarded port) over months of automated training and testing. However it alters the statistics of the task in trials after errors. Therefore only trials after correct trials are analyzed here.
Table 1
| Shaping step | Description | Days to complete (min–max) |
|---|---|---|
| 1. Free drinks | Water released at any port when triggered by licking, and also un-triggered at random times. | 0–4 |
| 2. Earned drinks | Water at any port when triggered by licking only; requires rotating among all three ports. | 0–9 |
| 3. Approach visual target, 2AFC | Upon request (licking unrewarded center port), S+ (statue) image appears over one response port; responses at S+ rewarded with water, response on other side (no image) penalized with timeout. | 4–11 |
| 4. Visual discrimination, 2AFC | Upon request S+ (statue) image appears over one response port and matched S- (space shuttle) over the other. Responses at S+ rewarded with water, response at S- penalized with timeout. | 16–43 |
| 5. Exemplar discrimination, 2AFC | Same as previous, but S+ is now either flashlight or paintbrush, and S- is the other image of this pair. | 29–108 |
| 6. Testing: exemplar and probes, 2AFC | Same as previous, but 20% of trials are probes with morphed intermediates between S+ and S-. | 50–141 |
Details of shaping sequence for task acquisition.
Reward magnitude was not varied in this study. Penalty time out duration was empirically adjusted for each rat to discourage guessing, while avoiding excessive subject frustration as judged by quitting. The penalty duration was always fixed for each rat within a training session. All rats began with a penalty duration set at 2 s. For seven of the subjects, this value was never changed over the course of training and testing. For five subjects, the penalty was increased by steps of 2 s, waiting on average 5000 trials between adjustments, up to a maximum of 8 s.
After mastering the first 2AFC visual discrimination (shaping step 4), subjects learned a second visual discrimination between two novel images (a paintbrush and a flashlight), one of which was assigned to be the S+ stimulus for each rat (shaping step 5). Subjects were trained on this “exemplar” discrimination until performance exceeded 80% accuracy for at least 200 trials (Figure 1D) before entering the test phase (shaping step 6). After completing shaping step 5, animals appear to make stereotypical head and body movements toward one or the other response port as soon as they leave the center port (see Video S1 in Supplementary Material), but head and eye movements were not tracked during training or testing.
TESTING
In the test phase, subjects continued to be tested on the exemplar discrimination in 80% of trials; later analysis confirmed that performance on the exemplar pair was stationary for the duration of the test phase. In the remaining 20% of trials (interleaved), subjects were presented with a pair of images of parametrically varied similarity, obtained by morphing between the S+ and S- exemplar images (Figure 1C). In these probe trials, subjects were rewarded for responding at the port co-localized with the stimulus that was closer to S+ of the two images. A previous study had shown that rats were unlikely to be relying on any one local cue to discriminate the morphs, because results were qualitatively similar if any quadrant of the image was masked in both images of the pair (). The order of probe trial types was pseudorandom with the constraint that each of the 14 non-exemplar difficulty levels had to be presented once before any one difficulty level could be repeated. This procedure ensured that data for probe trials accrued at the same rate for every difficulty level. Each rat continued the test phase until each probe type was tested exactly 150 times. During testing the penalty duration was fixed at 2 s for all rats.
ANALYSIS
The data for each trial in the test phase consist of: which specific image pair was shown (selected independently each trial); on which side the rewarded target appeared (selected independently each trial); the time of subject-initiated stimulus request; the latency from stimulus onset to response; and the outcome of the trial (correct/reward or error/timeout). Data analysis was performed using custom programs written in Matlab (Mathworks, Natick, MA, USA).
Calculations are based on all valid trials (after excluding trials after errors) of the indicated type in the relevant testing block. In Figures 2A,B, reaction time distributions were computed from 4583 (correct) and 1483 (error) trials. Same data were used to compute Figure 3A. In Figure 2C, each point was computed from an average of 5815 correct trials (range 4583–7031) and 952 error trials (range 516–1483). The same data were used to compute the N = 12 curves that underlie the average curve in Figure 3B, and to compute the values per rat plotted in Figure 3C.
FIGURE 2
FIGURE 3
Figure 4A, analysis of level 1 (exemplar discrimination) was based on 6126 valid trials; other levels (morph probe trials) were based on an average of 110 valid trials each (range 101–119). Figure 4B represents result from N = 12 rats, number of trials per condition similar to the example in Figure 4A. Cumulative probability in Figure 4C is based on 6126 (easy) vs. 442 (hard) trials. Median decision times in Figure 4D are based on an average of 6894 trials for the easy condition (range 6126–7627) and an average of 490 trials for the hard condition (range 442–539). Results in Figures 5 and 6 are based on an average of 4089 valid trials per condition (range 2320–4807).
FIGURE 4
FIGURE 5

Rats can flexibly prioritize either speed or accuracy depending on task contingencies.(A) Median decision time (DT) on the exemplar discrimination, as a function of the duration of the error penalty for two rats (black, gray). Both correct trials and errors had higher DT when penalty was longer; all trials are included in the analysis shown. Error bars show standard errors of the means (SEM). DT is defined as the observed reaction time (RT) minus the rat’s estimated motor latency (lifetime minimum reaction time). This subtracted constant was 0.403 (black) or 0.363 s (gray). For raw reaction time values see Figure 6. (B) Accuracy of discriminations in the same trials analyzed in panel (A). Error bars show 95% binomial confidence intervals.
FIGURE 6

Reaction time distribution shifts with penalty change.(A) Cumulative probability distribution of reaction times for rat performing the exemplar discrimination (black lines in Figure 5), with short penalty (solid curve) or long penalty (dashed curve). Median reaction time increased from 0.724 to 0.787 s. The rat’s lifetime minimum reaction time is indicated by the thin vertical line. (B) Cumulative probability distribution of reaction times for a different rat performing a more difficult image discrimination (gray lines in Figure 5). Median reaction time increased from 0.993 to 1.102 s. The rat’s lifetime minimum reaction time is indicated by the thin vertical line. (C) Raw reaction time distributions corresponding to data of panel (A). (D) Raw reaction time distributions corresponding to data of panel (B).
RESULTS
Twelve Long-Evans rats were trained to discriminate between grayscale photographs of two perceptually similar objects – a flashlight and a paintbrush – in a self-paced 2AFC operant conditioning paradigm (Figures 1A–D; Materials and Methods; Table 1; Video S1 in Supplementary Material). After performance was asymptotic on this “exemplar” discrimination, subjects began the testing phase. During testing, the exemplar discrimination was tested in 80% of trials; the remaining 20% of trials were probe trials in which the discriminated images were rendered more similar by morphing between the exemplar images (Figure 1C). In probe trials, subjects were rewarded for selecting the image that more closely resembled the learned target.
REACTION TIME IS LONGER IN CORRECT TRIALS
For each trial, the “reaction time” is defined here as the time between voluntary initiation of the trial (lick at center, at which time images appear) and the time of the subject’s response (lick at left or right response port, at which time the images disappear and reward or penalty occurs). The probability distribution of reaction times for exemplar discriminations is shown for both correct trials and for error trials for one rat (Figures 2A,B). For this subject, shorter reaction times (0.5–1.0 s) are more frequent among error trials, while long reaction times (1.0–1.5 s) are more frequent among correct trials. The median reaction time was longer in correct trials than error trials for this subject (arrows in Figures 2A,B), and this was the case for all 12 subjects (P < 10-3 by Wilcoxon signed rank test).
The minimum reaction time of a given subject across all trials and all visual 2AFC tasks (dashed line, Figures 2A,B) places an upper bound on the time required for the center-port to response-port motor response for that subject. The minimum reaction time was stable over time and tasks for a given subject, probably representing occasional pure motor responses (fast guessing). It ranged from 0.323 to 0.413 s across subjects. During visual tasks, responses were rarely as fast as the rat’s estimated motor delay.
The “decision time” in each trial is operationally defined here as the reaction time minus the subject’s sensory/motor delay as defined above. The median decision time (DT) for correct trials was longer than in error trials for all 12 subjects (Figure 2C; P < 10-3 by Wilcoxon signed rank test). Note that the DT differs from reaction time only by the subtraction of the same constant from both values for any given point, and therefore does not affect the sign or magnitude of the difference between compared conditions within subject.
DEPENDENCE OF ACCURACY ON REACTION TIME
The fact that reaction times tended to be longer in correct trials implies that accuracy (% correct) was higher in trials with longer reaction times. The relationship between reaction time and accuracy on exemplar trials is shown for an example subject in Figure 3A. For this rat, performance improved with reaction time over the range of 0.5–1.2 s, beyond which there was no improvement, despite the fact that performance remained below 100%.
The population average curve is shown in Figure 3B. Every subject showed a monotonic, saturating improvement in accuracy with reaction time, but the reaction time distributions and accuracy varied from subject to subject. For each rat, trials with reaction times in that rat’s lowest quartile were defined as “fast,” and trials with reaction time in the rat’s highest quartile were defined as “slow.” Every rat performed better in slow trials than fast ones (Figure 3C); this improvement with reaction time was significant for 10/12 rats individually (the 95% binomial confidence intervals do not overlap), and the effect was significant at the population level (P < 10-3, Wilcoxon signed rank test).
RATS TAKE MORE TIME TO RESPOND WHEN IMAGES ARE MORE SIMILAR
To test whether rats take longer to make a decision when the sensory stimuli are more ambiguous, the similarity of the two images was parametrically varied in probe trials with morphed images (see Materials and Methods; Figure 1C;
Accuracy of discrimination decreased as the images became more similar, as shown for one rat in Figure 4A and summarized for all rats in Figure 4B. For the subject whose performance is shown in Figure 4A, the distribution of response latencies was shifted to longer latencies in the trials with more ambiguous stimuli (Figure 4C), indicating that this subject took more time on more difficult trials. For most subjects (N = 10/12 rats), the median reaction time on the easiest trials (exemplar, level 1) was lower than the median reaction time on the most difficult or ambiguous trials (morph levels 12–15; Figure 4D), and this trend was significant at the population level (P < 10-2, Wilcoxon signed rank test).
RATS TAKE MORE TIME TO RESPOND WHEN THE ERROR PENALTY IS INCREASED
For two rats, we also compared reaction times and accuracy in paired testing blocks differing only in penalty duration (2 vs. 6 s). For both rats, increasing the duration of the error penalty led to a significant increase in DT (Figure 5A). This was accompanied by a substantial improvement in accuracy (Figure 5B), and therefore a lower probability of incurring the penalty. One rat (black lines) was tested with the exemplar discrimination pair described above. The other (gray lines) was tested using a more difficult discrimination pair (box/car image pair), after having trained to asymptotic performance of 65% on that discrimination. Incidentally, this second subject did not have longer reaction times on harder trials when they were interleaved (symbol below diagonal in Figure 4D; median DT 0.375 s for easy, 0.360 s for hard, penalty duration 2 s). Nevertheless, in an extended testing block with only difficult trials, reaction time was longer (median DT 0.630 at 2 s penalty duration) than in the easier discrimination block. Thus the subject did modulate reaction time with difficulty on the block timescale, even with penalty held constant.
Increasing the penalty duration led to a reduction in fast responses (0.5–1 s latency), and an increase in slow responses (1.0–1.5 s latency), for both rats (Figures 6A–D). Regardless of penalty condition, responses were rarely as fast as the rat’s estimated motor delay (vertical lines in Figures 6A–D). For the subject that was tested with a more difficult discrimination pair (gray in Figure 5; Figures 6B,D), performance was only 65% with the short penalty. Thus penalty was incurred in 45% of trials, substantially limiting reward rate. This rat’s reaction times shifted more dramatically in response to penalty increase.
DISCUSSION
These data demonstrate an interaction between reaction time and accuracy in the visual discrimination of images of natural objects by rats. Rats performed better when they responded later (Figures 2 and 3), despite the absence of any temporal information in the stimulus itself. Moreover, most rats responded more slowly when confronted with more difficult discriminations (Figure 4), or when the cost of an error was higher (Figures 5 and 6).
ACCURACY INCREASES WITH REACTION TIME
When rats discriminate static visual images without a deadline, their discrimination accuracy for a given discrimination difficulty improves with reaction time (Figures 2 and 3). The reaction times, accuracy, and dependence of accuracy on time, were all comparable to those reported for discrimination of random dot motion stimuli under similar conditions (
We hypothesize that accuracy is determined by the amount of sensory evidence accumulated at the time the rat decides, regardless of what determines the time of the decision. In the case of motion discrimination this hypothesis was tested by uncoupling reaction time from viewing time (
In a related image discrimination task performed by rats (
Our findings are also consistent with results from mice in a 2AFC auditory discrimination task (
When primates perform visual reaction time tasks with interleaved trials of varying sensory difficulty, accuracy is widely reported to decline as a function of reaction time – the opposite of our result (
DETERMINANTS OF REACTION TIME
Using morphing to vary image discrimination difficulty, we found that rats responded later on more difficult trials (Figure 4). A similar result was found for rats in a random dot motion task (
Although reaction time increased with difficulty in our task, the increase was modest – only about 100 ms on the most difficult trials. The difference in reaction time may reflect the lower confidence of the animal in hard trials (
But here we report that rats can modulate their behavioral strategy in response to the cost of errors. When the duration of penalty was increased, rats waited longer before responding, and their accuracy improved (Figures 5 and 6). This is consistent with the idea that longer viewing time leads to more accurate discriminations. But it is equally possible that a third cause (such as increased attention) caused an increase in both reaction time and accuracy.
SOURCE OF TIME-DEPENDENCE
The results presented here provide evidence for a time-dependent improvement in image discrimination, despite the absence of dynamics or time-varying noise in the stimulus. Because the physical stimulus was unchanging, this implies some temporal process arising in the animal. Possibilities are numerous and include: variation in the animal’s state (e.g., attention, motivation, or arousal) from trial to trial; active sampling of the visual stimulus (e.g., saccades, involuntary eye movements, head or body movements), sensory neural processing (e.g., temporal integration of noisy firing rates, spike time pattern codes), or cognitive processing involved in decision per se. The data presented here do not distinguish among these alternatives.
In particular, we do not know what the animal is doing, or when the decision occurs, within the interval between stimulus onset and detected response. If we had detected removal of the rat’s nose from the center port, this would have provided additional information, but we still would not know whether or when the rat made a decision until a response was made. A task in which motor output is monitored continuously could provide more insight into the time of the decision, including decision reversals within this interval (
GENERALITY OF FINDINGS
For the image discrimination task described here, we have shown that rats’ accuracy increases with reaction time, and reaction time is longer on harder stimuli, consistent with results from rats and mice tested with other visual and auditory stimuli, as summarized above. Nevertheless, these results may not be true for all sensory discrimination tasks. Clearly changes to the reward, penalty, or delay schedule of a task are expected to manipulate the relative priority of accuracy vs. speed. The relationship between reaction time and accuracy may also depend on the difficulty of the sensory discrimination, the sensory modality, or the qualitative nature of the sensory decision being made. In olfaction, for example, rats’ discrimination accuracy improves with reaction time in some tasks but not others (
SUPPLEMENTARY MATERIAL
The Supplementary Material for this article can be found online at http://www.frontiersin.org/Journal/10.3389/fncir.2013.00200/abstract
Statements
Author contributions
The behavioral training protocol and visual task are from a previously published study (
Acknowledgments
This work was supported by the Kavli Institute of Mind and Brain at UCSD, and the James S. McDonnell Foundation. I thank Sarah Petruno and Danielle Dickson for expert technical assistance. I thank Robert Clark for reading a draft of this manuscript, and for allowing me to use unpublished reaction time data collected during our behavior experiments for an unrelated study.
Conflict of interest
The author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
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Summary
Keywords
decision making, sequential decision, speed–accuracy trade-off, rodent vision, visual behavior, perceptual decision, choice
Citation
Reinagel P (2013) Speed and accuracy of visual image discrimination by rats. Front. Neural Circuits 7:200. doi: 10.3389/fncir.2013.00200
Received
08 August 2013
Accepted
02 December 2013
Published
18 December 2013
Volume
7 - 2013
Edited by
Davide Zoccolan, International School for Advanced Studies, Italy
Reviewed by
Samuel Gavan Solomon, University College London, UK; Athena Akrami, Princeton University – Howard Hughes Medical Institute, USA
Copyright
© 2013 Reinagel.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Pamela Reinagel, Section of Neurobiology, Division of Biological Sciences, University of California at San Diego, 9500 Gilman Drive #0357, La Jolla, CA 92093, USA e-mail: preinagel@ucsd.edu
This article was submitted to the journal Frontiers in Neural Circuits.
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