By Pieter Brueghel the Elder - bAGKOdJfvfAhYQ at Google Cultural Institute zoom level Scaled down from second-highest, Public Domain, Link
The ‘Rumsfeldian’ space of knowledge
known-knowns | known-unknowns |
unknown-knowns | unknown-unknowns |
The ‘Rumsfeldian’ space of knowledge
known-knowns | known-unknowns |
unknown-knowns | unknown-unknowns |
“Behavior is the linchpin of the most vexing problems in public health, and a better understanding of behavior is fundamental to achieving positive health outcomes, from prenatal development throughout adulthood.”
“Behavior contributes to the progression or prevention of disease, defines a disorder or marks recovery, and provides mechanisms for therapeutic intervention.”
Realm | Domain |
---|---|
\(W\) | The world |
\(B\) | The body |
\(N\) | The nervous system |
\(M\) | The mind |
\(\dot{M} = f(M,N)\)
\(\dot{N} = f(N,B)\)
\(\dot{B} = f(B,N,W)\)
\(\dot{W} = f(W,B)\)
By Krauss - Own work, CC BY-SA 4.0, Link
“How should an experimenter proceed when faced with a black box?”
Ashby, 1956/2015, 6/2
“What properties of the Box’s contents are discoverable and what are fundamentally not discoverable?”
Ashby, 1956/2015, 6/2
“What methods should be used if the Box is to be investigated efficiently?”
Ashby, 1956/2015, 6/2
“The primary data of any investigation of a Black Box consists of a sequence of values of the vector with two components: (input state, output state).”
Ashby, 1956/2015, 6/5
“From this there follows the fundamental deduction that all fundamental knowledge obtainable from a Black Box (of given input and output) is such as can be obtained by re-coding the protocol [sequence of input/output measurements].”
Ashby, 1956/2015, 6/5
“What is being suggested now is not that Black Box behavior is somewhat like real objects, but that the real objects are in fact all Black Boxes, and that we have in fact been operating with Black Boxes all our lives.”
Ashby, 1956/2015, 6/18
“The theory of the Black Box is simply the study of the relations between the experimenter and his environment, when special attention is given to the flow of information.”
Ashby, 1956/2015, 6/18
B.F. Skinner
Noam Chomsky
\(R\) (actions) create effects in the World (\(W\))
\(W\) states induce sensations (\(S\))
\(S\) affect \(C\) (computations/cognitions)
\(C\) affect \(A\)
…
“Reports that say that something hasn’t happened are always interesting to me, because as we know, there are known knowns; there are things we know we know.”
“We also know there are known unknowns; that is to say we know there are some things we do not know.”
“But there are also unknown unknowns—the ones we don’t know we don’t know. And if one looks throughout the history of our country and other free countries, it is the latter category that tend to be the difficult ones.”
“In working on the ACE [Automatic Computing Engine] I am more interested in the possibility of producing models of the action of the brain than in the practical applications to computing.”
“The ACE will be used, as you suggest,…in an entirely undisciplined manner, similar to the action of the lower centres, although the reflexes are extremely complicated.”
“The disciplined action carries with it the disagreeable feature, which you mentioned, that it will be entirely uncritical when anything goes wrong.”
“It will also be necessarily be devoid of anything that could be called originality.”
“It would be quite possible for the machine to try out variations in behaviour and accept or reject them in the manner you describe, and I have been hoping to make the machine do this…”
By Nicolás Pérez, CC BY-SA 3.0, Link
1. Measure the speed of the flywheel.
2. Compare the actual speed against the desired speed.
3. If there is no discrepancy, return to step 1. Otherwise,
a. measure the current steam pressure;
b. calculate the desired alteration in steam pressure;
c. calculate the necessary throttle valve adjustment.
4. Make the throttle valve adjustment.
5. Return to step 1.
By R. Routledge - Image from “Discoveries & Inventions of the Nineteenth Century” by R. Routledge, 13th edition, published 1900., Public Domain, Link
25 W vs. ?? MW
“What we know from C. elegans and the crustacean stomatogastric ganglion, with networks involving very few neurons, is that we haven’t a clue how they work even with the essential addition of electrophysiology.”
“So, while SS’s memorable (if pukeworthy) ‘I am more than my genome, I am my connectome’ may be true in a grossly superficial way, they are not going resolve connectional issues in any useful way using their current approaches.”
“So, while SS’s memorable (if pukeworthy) ‘I am more than my genome, I am my connectome’ may be true in a grossly superficial way, they are not going resolve connectional issues in any useful way using their current approaches.”
“We show that [classic analytic neuroscience] approaches reveal interesting structure in the data but do not meaningfully describe the hierarchy of information processing in the microprocessor.”
“This suggests current analytic approaches in neuroscience may fall short of producing meaningful understanding of neural systems, regardless of the amount of data.”
William T. Powers
Krakauer et al., 2017
A | B | C | D | E | F | G |
---|---|---|---|---|---|---|
B | C | D | E | F | G | A |
A | H | H | H | H | F | H |
---|---|---|---|---|---|---|
H | H | H | H | F | H | A |
A | B | C | D | E | F | G |
---|---|---|---|---|---|---|
B | C | D | D | F | G | A |
“Rhymes with B” -> H
A | H | H | H | H | F | H |
---|---|---|---|---|---|---|
H | H | H | H | F | H | A |
Inspired by Ashby, 1956/2015
Plenoptic function (Adelson & Bergen, 1991)
\(P(\theta,\phi,\bar{\lambda},t,V_{x},V_{y},V_{z})\).
\((V_{x},V_{y},V_{z})\): locations in \(W\)
\((\theta,\phi)\): optic axis, usually aligned with \(V_{z}\)
\(\bar{\lambda}\): wavelength distribution
e.g., object distance from vision (monocular, binocular, motion cues, …)
object distance from audition, olfaction, proprioception, or
body posture from vision, vestibular proprioception, muscle/joint proprioception
\(P(t)=\sum_{i=1}^n w_{i}(t)S_{i}(t)\)
\(\sum_{i=1}^n w_{i}(t) = 1\)
Crawl/walk to mom + keep balance + stabilize gaze + look around + …
\(A(t)=\sum_{i=1}^n w_{i}(t)F_{i}\)
\(\sum_{i=1}^n w_{i}(t) = 1\)
Krakauer et al., 2017
Algorithms | Dynamics |
---|---|
for x in range(0, n): | \(\dot{x}=f(x,a)\) |
Different ways to characterize Black Boxes
“The advancement of detailed and diverse knowledge about the development of the world’s children is essential for improving the health and well-being of humanity…”
“We regard scientific integrity, transparency, and openness as essential for the conduct of research and its application to practice and policy…”
https://www.srcd.org/about-us/policy-scientific-integrity-transparency-and-openness
rogilmore@psu.edu https://gilmore-lab.github.io https://gilmore-lab.github.io/2019-03-25-cne/ @rogilmore
sessionInfo()
## R version 3.5.2 (2018-12-20)
## Platform: x86_64-apple-darwin15.6.0 (64-bit)
## Running under: macOS Mojave 10.14.3
##
## Matrix products: default
## BLAS: /System/Library/Frameworks/Accelerate.framework/Versions/A/Frameworks/vecLib.framework/Versions/A/libBLAS.dylib
## LAPACK: /Library/Frameworks/R.framework/Versions/3.5/Resources/lib/libRlapack.dylib
##
## locale:
## [1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8
##
## attached base packages:
## [1] stats graphics grDevices utils datasets methods base
##
## other attached packages:
## [1] igraph_1.2.2 databraryapi_0.1.4
##
## loaded via a namespace (and not attached):
## [1] Rcpp_1.0.0 revealjs_0.9 digest_0.6.18 assertthat_0.2.0
## [5] R6_2.4.0 magrittr_1.5 evaluate_0.13 httr_1.4.0
## [9] stringi_1.3.1 curl_3.3 keyring_1.1.0 rmarkdown_1.11
## [13] tools_3.5.2 stringr_1.4.0 xfun_0.4 yaml_2.2.0
## [17] compiler_3.5.2 pkgconfig_2.0.2 htmltools_0.3.6 knitr_1.21