[HN Gopher] Can random experimental choice lead to better theories?
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       Can random experimental choice lead to better theories?
        
       Author : paraschopra
       Score  : 32 points
       Date   : 2026-02-19 14:26 UTC (8 hours ago)
        
 (HTM) web link (journals.sagepub.com)
 (TXT) w3m dump (journals.sagepub.com)
        
       | selridge wrote:
       | Weird that this doesn't mention grounded theory, a social theory
       | toolkit which people poo-poo for Popperian purposes.
        
         | MarkusQ wrote:
         | I think they poo-poo it because it tends to produce just-so
         | stories that "explain" known facts while saying nothing about
         | anything beyond them. To an extent, all hypotheses arise from
         | observations (and more specifically, the frisson between
         | observations and theoretical expectations), but you can't just
         | stop there. Grounded theory just feels like empiricism with a
         | soft blur filter.
         | 
         | (This problem is not just limited to social scientists. I think
         | you could, for example, construct a plausible objection to dark
         | matter as an "explanation" that just "saves appearances" on the
         | same basis.)
        
           | selridge wrote:
           | Yeah, I'm aware of those critiques and they are all correct
           | or at least draw blood.
           | 
           | What's interesting about this paper is the suggestion that
           | perhaps empiricism could do with a soft blur.
           | 
           | One might even invoke KJ Healy's "Fuck Nuance" here as well.
        
         | PlatoIsADisease wrote:
         | Induction vs Deduction.
         | 
         | Grounded theory is probabilistically correct. Deduction if
         | correct, is actual reality.
         | 
         | Don't get me wrong, I want to love induction, I have William
         | James of Pragmatism on my wall... but the problems with
         | induction hurt me to my core. I know deduction has problems
         | too, but the Platonic Realist in me loves the idea of magic
         | truths.
        
       | MarkusQ wrote:
       | This is really interesting, but it appears to hinge on an
       | unstated (and unjustified) assumption: that scientists learn by
       | back propagation, or something sufficiently similar that back
       | propagation is a reasonable model.
       | 
       | It also:
       | 
       | * Bakes in the assumption that there are no internal mechanisms
       | to be discovered ("Each environment is a mixture of multivariate
       | Gaussian distributions")
       | 
       | * Ignores the possibility that their model of falsification is
       | inadequate (they just test more near points with high error).
       | 
       | * Does a lot of "hopeful naming" which makes the results easy to
       | misinterpret as saying more about like-named things in the real
       | world than it actually does.
        
         | mjburgess wrote:
         | The existence of "experiments" to choose from in the first
         | place is already theory-given. As soon as you've formulated a
         | space of such experiments to explore, almost all your theory
         | work is done.
        
           | SJMG wrote:
           | What's more, the existence of data (therefore differentiation
           | of what is and isn't), is theory-laden.
        
         | baxtr wrote:
         | According to Popper, scientists learn by putting out theories
         | and then trying to falsify them through experiments.
        
       | youknownothing wrote:
       | This is a thought-provoking idea but, even if true, I don't think
       | it will gain much traction. We humans like to be right and earn
       | awards for our predictions. A Nobel wouldn't feel quite the same
       | if given to someone who just happened to randomly stumble upon
       | something.
        
         | pixl97 wrote:
         | I mean a lot of discoveries are things found along the way in
         | search of something else. Look at something like the initial
         | discovery of super glue.
        
         | webnrrd2k wrote:
         | What, like penicillin?
        
       | gus_massa wrote:
       | > _We therefore conclude that theoretically motivated experiment
       | choice is potentially damaging for science, but in a way that
       | will not be apparent to the scientists themselves._
       | 
       | They are analyzing a toy model of science. The details and in
       | figure 1. They have a search space that has a few Gaussians like
       | 
       | f(x,y,z) = A0 * expt(-(x-x0)^2-(y-y0)^2-(z-z0)^2) + A1 *
       | expt(-(x-x1)^2-(y-y1)^2-(z-z1)^2)
       | 
       | but maybe in more than 3 dimensions and maybe with more than 2
       | Gaussians.
       | 
       | They want the agents to find all of Gaussians.
       | 
       | It's somewhat similar to a maximization problem that is easier.
       | There are many strategies for this, from gradient ascent to
       | random sampling to a million more of variants. I like simulated
       | annealing.
       | 
       | They claim that the best method is random sampling, that only
       | work when the search space is small. But it breaks quite fast for
       | high dimensional problems, unless the Gaussians are so big that
       | cover most of the space, and perhaps I'm beeing too optimistic.
       | Add noise, overlapping Gaussians and the problem gets super hard.
       | 
       | Let's get to a realistic example, all the molecules with 6
       | Carbons and 12 Hydrogens. Let's try to find all of them and their
       | stables 3D configuration. This is chemistry from the first year
       | in the university, perhaps earlier, no cutting edge science.
       | 
       | You have 18 atoms, so 18 * 3 = 54 dimensions, and the surface of
       | -energy has a lot of mountains ranges and nasty stuff. Most of
       | them very sharp. Let's try to find the local points of maximal
       | -energy, that is much easier than the full map. These are the
       | stable molecules, that (usually) have names.
       | 
       | * There is a cycle one with 6 Carbons, where each Carbon has 2
       | Hydrogens, https://en.wikipedia.org/wiki/Cyclohexane Note that it
       | actually has two different 3D variants.
       | 
       | * There is one with a cycle of 5 Carbons and 1 carbon attached to
       | the cycle https://en.wikipedia.org/wiki/Methylcyclopentane
       | 
       | * There are variants with shorter cycles, but I'm not sure how
       | stable they are and Wikipedia has no page for them.
       | 
       | * There is also 3 linear versions, where the 6 Carbons are a s
       | wavy line, and there is a double bound in one of the steps
       | https://en.wikipedia.org/wiki/1-Hexene I'm not sure why the other
       | two version have no page in Wikipedia, I think they should be
       | stable, but sometimes it's not a local maximum or the local
       | maximum is to shallow and the double bound jump and the Hydrogen
       | reorganize.
       | 
       | * And there may be other nasty stuff, take a look at the complete
       | list https://en.wikipedia.org/wiki/C6H12.
       | 
       | And don't try to make the complete list when of molecules that
       | includes a few Nitrogen, because the number of molecules explodes
       | exponentially.
       | 
       | So this random sampling method they propose, does not even work
       | for an elementary Chemistry problem.
        
         | Eisenstein wrote:
         | They address this specifically and hand-wave it away:
         | Moreover, both random and all other experimentation strategies
         | we examined require constructing a bounded experimental space,
         | a challenge that lies beyond the scope of the current work (see
         | Almaatouq et al., 2024, for further discussion).
         | 
         | I think their conclusion is still important to consider,
         | though. It makes a point beyond the practicalities and more
         | towards the philosophy of approach.
        
           | gus_massa wrote:
           | That is an unrelated problem, that usually is not even a
           | problem.
           | 
           | For molecules, 10 Armstrong away is probably as good as
           | infinite.
           | 
           | For how many bananas should you eat per week to become the
           | chess world champion, you can ask Wolfram Alpha to convert
           | 2400kcal * 7 to bananas and get an upper bound.
           | 
           | I think everyone agree that with infinite time a resources a
           | brute force search is better in case there is a weird
           | combination. But for finite time and resources you need to
           | select a better strategy unless the search space is
           | ridiculous small and smooth.
        
             | Eisenstein wrote:
             | I guess I am not following very well -- what exactly is an
             | unrelated problem? Setting a bounded space?
        
         | Legend2440 wrote:
         | That said, random or exhaustive search is a more scientifically
         | useful method than you might think.
         | 
         | The first commercial antibiotics (Sulfa drugs) were found by
         | systemically testing thousands of random chemicals on infected
         | mice. This was a major drug discovery method up until the 1970s
         | or so, when they had covered most of the search space of
         | biologically-active small molecules.
        
           | gus_massa wrote:
           | A few month ago I went to a similar talk. They got a
           | carboxylic acid from a plant (I forgot the name) that has
           | some activity to kill caterpillar that eat corn, and made
           | like 10 or 15 compounds with organic alcohols to get an
           | ester. They tried different doses on the caterpillars and
           | then make a computer model to predict the activity of similar
           | compounds (QSAR). The idea is to use it in a long list of
           | other organic alcohols and try to find a better compound.
           | 
           | But they choose chemical reactions that are usual in the lab,
           | so they guess they will be able to make it work in the lab,
           | and they keep most of the structure without changes. So it's
           | closer to what they classify here as look nearby the known
           | good points instead of a true random search.
        
           | StableAlkyne wrote:
           | Related, I was talking to a computational chemist at a
           | conference a few years ago. Their work was mostly at the
           | intersection of ML and material science.
           | 
           | An interesting concept they mentioned was this idea of
           | "injected serendipity" when they were screening for novel
           | materials with a certain target performance. They proceed as
           | normal, but 10% or so of the screened materials are randomly
           | sampled from the chemical space.
           | 
           | They claimed this had led them to several interesting
           | candidates across several problems.
        
       | Zobat wrote:
       | I fully admit that I only skimmed the abstract, but was reminded
       | of an article in Wired about Sergey Brin and his "search for a
       | parkinsson cure".
       | 
       | https://www.wired.com/2010/06/ff-sergeys-search/
       | 
       | He went backwards and started with just collecting an absurd
       | amount of data. Later while talking to a researcher he could
       | confirm years of research with a "simple" search in his database.
        
       | armchairhacker wrote:
       | In real life, can you choose an experiment perfectly randomly?
       | 
       | You can ask many people to propose hypotheses and choose one at
       | random, and perhaps with a good sample you get better
       | experiments. You can query a Markov chain until it produces an
       | interpret-able hypothesis. But the people or Markov chain
       | (because English itself) has significant bias.
       | 
       | Also, some experiments have wider-reaching implications than
       | others (this is probably more relevant for the Markov chain,
       | because I expect the hypotheses it forms to be like "frogs can
       | learn to skate").
        
       | lutusp wrote:
       | This idea suffers from a number of practical obstacles:
       | 
       | One, in a sufficiently advanced field of study, an idea's
       | originator may be the only person able to imagine an experimental
       | test. I doubt that many physicists would have immediately thought
       | that Mercury's unexplained orbital precession would serve to
       | either support or falsify Einstein's General Relativity -- but
       | Einstein certainly could. Same with deflected starlight paths
       | during a solar eclipse (both these effects were instrumental in
       | validating GR).
       | 
       | Two, scientists are supposed to be the harshest critics of their
       | own ideas, on the lookout for a contradicting observation. This
       | was once part of a scientist's training -- I assume this is still
       | the case.
       | 
       | Three, the falsifiability criterion. If an experimental proposal
       | doesn't include the possibility of a conclusive falsification,
       | it's not, strictly speaking, a scientific idea. So an idea's
       | originator either has (and publishes) a falsifying criterion, or
       | he doesn't have a legitimate basis for a scientific experiment.
       | 
       | Here's an example. Imagine if the development of the transistor
       | relied on random experimentation with no preferred outcome. In
       | the event, the inventors at Bell Labs knew exactly what they
       | wanted to achieve -- the project was very focused from the
       | outset.
       | 
       | Another example. Jonas Salk (polio vaccine) knew exactly what he
       | wanted to achieve, his wasn't a random journey in a forest of
       | Pyrex glassware. It's hard to imagine Salk's result arising from
       | an aimless stochastic exploration.
       | 
       | So it seems science relies on people's integrity, not avoidance
       | of any particular focus. If integrity can't be relied on, perhaps
       | we should abandon the people, not the methods.
        
         | marcosdumay wrote:
         | > So it seems science relies on people's integrity, not
         | avoidance of any particular focus.
         | 
         | Science relies on replication. And any real gain society gets
         | that comes from science is a form of replication in itself.
         | 
         | Integrity can't be relied on. But then, complete reliability is
         | not necessary, just enough to make replication work.
         | 
         | And also, science is in a crisis due to the lack (or really
         | large delay) of practical use. We actually don't have any other
         | institution that ensures replication happens.
        
       | gavinray wrote:
       | > "We find that agents who choose new experiments at random
       | develop the most informative and predictive theories of the
       | world. "
       | 
       | There's a neat book about this: "Why Greatness Cannot Be Planned
       | (The Myth of the Objective")
       | 
       | https://www.goodreads.com/book/show/25670869-why-greatness-c...
       | 
       | Incidentally, the author works at OpenAI these days.
       | 
       | https://en.wikipedia.org/wiki/Kenneth_Stanley
        
       | briandw wrote:
       | This remind me of [Why Greatness Cannot Be
       | Planned](https://mythoftheobjective.com). When looking at
       | scientific discovery there many examples of happy accidents. The
       | researchers were not intending to find the breakthrough that they
       | did. It was the willingness to change course and explore a new
       | and interesting thing that they just stumbled onto. Examples:
       | penicillin, superglue, radioactivity, cosmic background radiation
       | etc. I loved the example of Robert Williams who pointed the HST
       | at an empty patch of sky for 10 days. He had his time allocated
       | and no one could stop him but the other astronomers thought it a
       | poor use of resources. It resulted in the famous Hubble Deep
       | Field image.
       | 
       | Counter example is the decades that amyloid cascade hypothesis
       | was the only allowed / funded research of Alzheimer disease.
        
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