Are you sure you know what's going on in your brain? Are you really the master of your thoughts?
"Of course I am!" you exhort me for asking, "Who else would be in control?"
I won't actually be discussing multiple personalities in this post. What I will ask instead is: "How do you make decisions? What is the basis of these decisions? Can you always trust what you base your decisions on?"
A more provocative question would be: "How easily are you fooled?" Or more precisely,
"What happens in your brain when you are fooled?"
Everybody knows we get fooled a lot. A prime example of this tomfoolery is optical illusions. Many have played around with these before, but if you never have, let me suggest a couple of sites that are really good.
Michael Bach: Visual Phenomena & Optical Illusions
Gizmodo: Optical Illusions that might break your mind
In particular, Michael Bach's page explains some of the cognitive science of perception that underlies the illusion. But basically, what it boils down to is that it is not your eyes that see, it is your brain.
What this implies is that your brain makes a lot of assumptions about what it is that it perceives, and the reason it makes these assumptions is that making these assumptions saves a lot of time and energy.
I'll give you an example (not from vision). Suppose you have reached your car, put your hand in your pocket, and find that the pocket is empty. The place you are sure the key was, does not actually hold it. What do you do now?
If the key is not in your pocket, it could be anywhere, right? But do you start checking possible locations randomly? Of course not. You first try the other pocket. Why? Because this is the next most likely location? Why do you think that?
The answer is that this is guided by experience. You know about where keys are likely to be. If they are not in any of your pockets, they still must be on the desk. If that's not the case, you check on the counter. And so on. Experience has created a model of "where keys usually are to be found" in your head, and you are using this model to drastically reduce the time it takes you to find the key. You are not conducting a random search here.
Your visual system operates on a similar premise, except not only does it take into account past experience of visual scenes, but there are evolutionarily hardwired assumptions at work here too. "Chairs are usually on the floor. Windows separate the inside from the outside. Objects that are close appear to be larger." These are just a few of the things your brain "knows" about visual scenes. In fact, it is known that when we look at a scene, we barely take in anything of what is out there. Instead, we make most of it up: we hallucinate it. It works really well because most of the stuff in visual scenes is always the same. Chairs are always on the floor. Windows always separate the inside from the outside. Our eyes will saccade over the scene to perform a few spot checks, to fill in the stuff that is difficult to synthesize. Is it day or night? What kind of a chair is it? What color? We need to look directly at an object to notice its color, because we can only see color in a narrow cone surrounding the point we focus: everything that is outside of about 5 degrees of your focus is grey-scale (see below).
Central visual field as described in the XKCD comic. From https://xkcd.com/1080/ (licensed under CC Attribution-NonCommercial 2.5 License) |
It is because of all these assumptions that our brain makes (in order to save time) that we are so easily fooled. We are fooled precisely when these assumptions are subtly violated.
So you are really asking is, can you make Artificial Intelligence? Well, up to now, nobody has succeeded. And you, who has been reading this blog since the very beginning (or at least since I wrote "Your Conscious You", haven't you?) already know how I'm going to answer this. We can make it alright, but we can't design it, because we don't know how brains work, really. Instead, we're going to use the process that already did the "making" at least once: Darwinian evolution. And we can do this because evolution will produce something that works whether we understand that working thing or not. So in this post, I'm going to tell you about an experiment where we evolved brains to solve a task that humans can fairly easily solve in the lab. And then, we'll test whether these artificial brains pass some other tests that are the equivalent of, say, a "brain-permit". (If you do not pass this, you can't be called a brain.) And after the brains that we make pass this test, we're going to try to fool them. We will then find that they get fooled just as easily as humans get fooled, but we can look into these brains and figure out how and why they are fooled. And from that we learn a lot about how our brain works. And it is all in a paper that you'll get to read, of course. (I'm not being very original here, I know. There's always a paper.)
The task is really simple: You put on headphones and listen to a repeating beep. It repeats rhythmically. At one point (you are not told when) a beep occurs that is distinguished by being at a higher frequency. You are then asked whether this beep is longer or shorter than the background beeps this "oddball beep" was embedded in. You are exposed to longer and shorter oddball tones equally, and you think "This really isn't all that hard!" People are indeed pretty good at this task, as long as the difference between the background and the oddball is noticeable. And that is actually the "brain-permit" part I was mentioning. There is a psychometric relationship called "Weber's Law" that describes a subject's (or for that matter, any detector's) ability to perceive relative differences. The main idea of this law (sometimes called Weber-Fechner Law) is that "relative differential sensitivity remains the same regardless of size of stimulus". Basically, this means that the measurable difference is proportional to how strong the signal is. You already have an intuitive understanding of this law: you can perceive small differences in loudness when things are whispered, but such differences are not noticeable when you are standing next to enormous speakers at a concert.
You can verify this law by testing how well people perceive the difference between the oddball length and the standard tone (within which the oddball is embedded). The longer the standard tone, the bigger the just-noticeable-difference. "Just noticeable difference" (or "JND") is actually a technical term. It is the difference at which half the subjects deem the oddball short, and the other half deem it long.
I know I know. I'm boring you with psychometric laws when all you want to hear is how you can't be fooled. But psychometry is important, people. The word itself pretty much means "measuring the mental state". So let's leave psychometry for a moment (until I will tell you that the brains we evolve pass this test with flying colors, that is). And now let's go right into the "fooling" part.
You see, when you were taking the oddball test (I don't really think it was you specifically, I just put you into the narrative like this, for effect), so when you were taking the test, sometimes something happened that you weren't told about. Most of the time, the oddball tone started exactly when the standard tone would start, that is, they were "in rhythm". But sometimes, the oddball starts a little late, or a little early. And you were not told that. And it turns out that how you judge the length of the oddball depends strongly on this time difference.
If you mull this over a bit, it really shouldn't come as a big surprise that timing is very important in how we perceive the world The world, after all, is full of periodic (or rhythmic) signals, and our brains are attuned to detecting such rhythmic signals, because they allow us to predict the world a little better. Accurate prediction (generally speaking) is a recipe for survival, so you can imagine how it is important we get that right. To a large extent, this sensitivity to repeating auditory sequences explains our affinity to music, as I wrote about in an entirely different context.
Here's what happens when subjects (this includes you) are asked to judge advanced or delayed tones: delayed tones are judged long (even if they are short), and advanced tones are judged short. Here's the data that Devin McAuley obtained in his lab:
Duration distortion factor as a function of oddball delay, from Ref. [1]. |
How can you explain this illusion? Well, there are theories that try to explain this effect. One theory posits that the brain measures time intervals using an internal clock that, in a way, pours "time units" into place that can measure how many units are in there. The start of the tone opens the gate and the end of the tone closes it, so that the amount of time units determines the length of the signal. I can sense that you're not buying this theory, and indeed that theory has not stood the test of time. Another theory, called "Dynamic Attending Theory" (or DAT) assumes that our attention is driven by changes, and that a rhythmic signal will produce peaks of attention at the beginning of the rhythm. When a tone is late or early, it gets less attention (because it misses the attentional peak), and that explains the illusion of longer and shorter tones (when in fact they are the same length as the background).
Indeed, it was Devin McAuley who tested the "time units bucket" theory (actually named "Scalar Expectancy Theory, or SET) against DAT using those undergrad cohorts, and showed that DAT came out ahead. But of course, it's still a theory. How can we figure out what's really going on?
One was is to evolve brains in the computer to do this same task, and then take a look if they are fooled by those malicious early or late tones. And if they are, we can find out why, because we can measure the heck out of those artificial brains without violating any IACUC rules. I will spare you the details of how we evolve artificial brains in the computer. I wrote about it before in this post, and I'll probably write about it more extensively in the future. We call these artificial brains "Markov Brains", and there is a write-up on arXiv that tells you most of what you need to know about them. Here, just imagine we can evolve a lot of them. For this study, we "made" 50 brains (each is the best brain evolved in fifty independent experiments). These are relatively simple brains: they have 14 neurons that they can use to perform computations, along with a single neuron that perceives the tone, and a single neuron that signals the action, as shown in the figure below.
Structure of a Markov brain that listens to a tone, and signals the duration of the tone with a binary decision. |
The brains get high fitness (that is, their genome will have many copies in the next generation) if they can correctly judge the length of an "oddball" tone that is embedded within a rhythmic sequence of tones, as shown in the figure below.
When we evolved brains to judge the length of oddball tones, they solved the problem in less than 2,000 generations. Not all the brains could do this perfectly, but most could. We evolved them to excel at this task not for one example sequence (like the one shown in the figure above). We did this for many different background rhythms (defined by the time between onsets of the background rhythm, known as the inter-onset interval (IOI). For each IOI (between 10 and 25 units) we created a standard tone (half the IOI if the IOI is even, otherwise half of IOI minus 1) as well as all possible longer and shorter tones that fit within the IOI, and asked those brains to judge all of them. We found that the brains we evolved could judge the short IOIs without any problems, but found that the task becomes progressively more difficult the longer the IOI. This is in fact precisely what Weber's Law predicts, and indeed our evolved brains followed Weber's Law almost precisely! But what about the illusions observed in the experiments with students? How do the evolved brains react to delayed and advanced tones? It turns out that they are fooled in the exact same way as the students are! Below you can see the measured duration distortion factor (DDF) for an IOI of 14 time units, with a standard tone of length 7. This corresponds to the experiment above where the standard tone was 350 msec if you take a time unit to correspond to 50 msec.
Evolved Markov brains also perceive delayed tones (negative oddball onset) as short, and advanced tones (positive oddball onset) as long. What accounts for this illusion? How is this even possible, since these brains are deterministic? Now, compared to human brains, we have a distinct advantage here: we can peek into these brains to find out how they work! One way to do this is to understand how the brain's state is changing as it is listening to the tone. Here, the brain's state can simply be rendered as a decimal number composed from the binary state of the combined neurons. So, for example, for a brain with 10 neurons that brain state where all 10 neurons are quiescent (the state `0000000000') is '0', while the state of all ten neurons firing is the state '1023'. We can then depict a state change by drawing an arrow between two state, depending on whether a time (a '1') or no tone (a '0') was perceived, as in the figure below.
In the movie below you can follow the brain state changes as an evolved brain listens to a standard tone of length 5. Note the loop in state space that has evolved to make the length assessment possible. This loop is in fact an evolved representation of the standard tone. The movie below shows the transitions in the same brain for a signal that is long (six units), but is advanced by two units. Due to its advancement, it ends at the same exact time that a short tone would have ended, and indeed because the brain does not pay attention to the beginning of the tone, it ends up in precisely the same state as it would have ended up in if it had listened to a short tone. Because of that lack of attention, it issues the "S" determination with full confidence, but is completely wrong. Why does the brain not pay attention to the beginning of the tone? According to the SAT theory of attention, both the beginning and the end of the tone represent a contrast that the brain should be paying attention to. In hindsight, however, this makes perfect sense. These brains never experienced out-of-rhythm tones (during evolution) and so focus only on the end of the tone, as this is the only place where there is expected variation! From an information-theoretic perspective, there is no entropy at the beginning of the tone, so information can only be gathered from the end! In other words, the brain only pays attention to the potentially informative parts of the signal, and not to those aspects that are always the same. An information-theoretic analysis of all 50 evolved brains indeed bears this out. Do we then have to completely change our theories of attention? In the realm of visual attention, one of the common theories of what gets our attention is the "visual saliency" model of Itti and Koch [2]. In this model, attention is attracted to parts of the visual stimulus that are visually salient, that is, they stand out from their background. This is similar to the DAT theory of auditory attention, and it may very well be that this is only part of the story of visual attention. Indeed, we have some evidence that our eye saccades are drawn not only by saliency, but also by our expectation of where the relevant information is to be found. A strong indication that what we expect to find plays a crucial role in what we pay attention to is an experiment run by Lawrence Stark. He recorded the "scan path" of human subjects when saccading an image of the famous "Rubin vase" (the black-and-white image that can be seen either as a vase or as two faces in profile looking at each other). When priming the subject with a Rubin vase adorned in such a manner that it is clearly recognizable as one or the other image (see image below) the scan path of subjects follows that of the expected image, even though the subjects were looking at the unadorned image [3] We can thus assume that attention is driven by multiple mechanisms: a "top-down" mechanism driven by high-contrast features, as well as by a "bottom-up" mechanism where attention is driven by what the brain expects to experience. What it is that we expect to experience we may not always be conscious of, so you may think you know what your brain is paying attention to, but don't be surprised if you can easily be fooled! References: [1] J. D. McAuley and E.K. Fromboluti, "Attentional entrainment and perceived event duration", Phil. Trans. Roy. Soc. B 369 (2014) 20130401. [2] L.W. Stark, C.M. Privitera, H. Yang, M. Azzariti, Y.F. Ho, T.T. Blackmon, and D. Chernyak (2001). "Representation of human vision in the brain: How does human perception recognize images?" Journal of Electronic Imaging 10, 123–151. [3] L. Itti and C. Koch (2001). "Computational modelling of visual attention". Nature Reviews Neuroscience, 2, 194–203. [4] A. Tehrani-Saleh, J.D. McAuley, and C. Adami (2004), "Mechanism of duration perception in artificial brains suggests new model of attentional entrainment" (2024). Neural Computation 36, 2170-2200. [5] C. Adami, "How brains perceive the world" (2024). Artificial Life 30. |
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