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Information theory - Quiz
Contributed by: Haynes
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Bioinformatics
B) Seismic exploration
C) Gambling
D) Cryptographic use
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) Analog processing methods
B) Random seeds external to the software
C) High Shannon entropy
D) Integrated neural clusters
  • 3. How can random seeds for pseudorandom generators be obtained?
A) Via digital noise
B) Through Shannon entropy
C) Via extractors
D) By using semiotic signs
  • 4. What is the measure of sufficient randomness in extractors?
A) Dynamic core hypothesis
B) Free energy
C) Min-entropy
D) Effective information
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Algorithmic entropy
B) Rényi entropy
C) Conditional entropy
D) Thermal entropy
  • 6. Where is Rényi entropy also used?
A) In minimizing free energy
B) In evaluating randomness in cryptographic systems
C) In semiotic code control
D) In seismic oil exploration
  • 7. Does a random variable with high Shannon entropy guarantee it is satisfactory for use in an extractor?
A) Only in cryptographic systems
B) Only for pseudorandom numbers
C) No
D) Yes
  • 8. What was one early commercial application of information theory?
A) Black hole analysis
B) Bioinformatics
C) Seismic oil exploration
D) Search for extraterrestrial intelligence
  • 9. What did information theory make it possible to do in seismic exploration?
A) Generate secure pseudorandom numbers
B) Strip off and separate unwanted noise from the desired seismic signal
C) Decode dominant social messages
D) Minimize free energy in the brain
  • 10. What methods offered a major improvement of resolution and image clarity over previous analog methods in seismic work?
A) Information theory and digital signal processing
B) Extractors and Rényi entropy
C) Cryptographically secure pseudorandom number generators
D) Free energy principles
  • 11. Which semioticians considered Charles Sanders Peirce as having created a theory of information?
A) Umberto Eco and Ferruccio Rossi-Landi
B) Doede Nauta and Winfried Nöth
C) Karl J. Friston and Andrey Kolmogorov
D) Gerald Edelman and Giulio Tononi
  • 12. How did Doede Nauta define semiotic information theory?
A) The measurement of sufficient randomness in extractors
B) The minimization of free energy in a self-organized system
C) The study of the internal processes of coding, filtering, and information processing
D) The separation of unwanted noise from seismic signals
  • 13. Which semioticians used concepts like redundancy and code control to explain ideology?
A) Doede Nauta and Winfried Nöth
B) C.E. Shannon and R.V.L. Hartley
C) Gerald Edelman and Karl J. Friston
D) Umberto Eco and Ferruccio Rossi-Landi
  • 14. In semiotic explanations of ideology, how does a dominant social class emit its message?
A) By utilizing cryptographically secure pseudorandom seeds
B) Through digital signal processing of seismic signals
C) By using signs that exhibit a high degree of redundancy
D) By applying the free energy principle
  • 15. Where have quantitative information theoretic methods been applied in cognitive science?
A) To extract random numbers for cryptography
B) To analyze the integrated process organization of neural information
C) To study black holes and bioinformatics
D) To explore seismic oil deposits
  • 16. What neurological problem is linked to the analysis of neural information organization?
A) The issue of seismic noise filtering
B) The binding problem in cognitive neuroscience
C) The problem of algorithmic complexity
D) The paradox of extraterrestrial intelligence
  • 17. Whose functional clustering model and dynamic core hypothesis define an information-theoretical measure in neural processing?
A) Doede Nauta and Winfried Nöth
B) Gerald Edelman and Giulio Tononi
C) R.V.L. Hartley and C.E. Shannon
D) Umberto Eco and Ferruccio Rossi-Landi
  • 18. What is Giulio Tononi's integrated information theory (IIT) of consciousness based on?
A) Seismic signal processing
B) Effective information
C) Shannon entropy
D) Min-entropy
  • 19. What underlies the definition of measures in the context of neural information organization?
A) A reentrant process organization
B) External cryptographic random seeds
C) Analog methods of data transmission
D) A high degree of redundancy in signs
  • 20. What does a reentrant process organization refer to?
A) The coding and filtering processes studied in semiotics
B) The synchronization of neurophysiological activity between groups of neuronal populations
C) The filtering of unwanted noise from desired seismic signals
D) The generation of pseudorandom numbers using extractors
  • 21. Whose free energy principle (FEP) states that every adaptive change leads to a minimization of free energy?
A) Gerald Edelman
B) Charles Sanders Peirce
C) Karl J. Friston
D) Giulio Tononi
  • 22. What type of system does the free energy principle apply to?
A) A self-organized system
B) An analog seismic receiver
C) A dominant social class
D) A cryptographic random number generator
  • 23. Along with the free energy principle, what other hypothesis is mentioned in relation to statistical methods in the brain?
A) The integrated information theory
B) The semiotic information theory
C) The dynamic core hypothesis
D) The Bayesian brain hypothesis
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Search for extraterrestrial intelligence
B) Astrology
C) Phrenology
D) Alchemy
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Tectonic plates
B) Black holes
C) Seismic waves
D) Neural clusters
  • 26. What life-science field is mentioned as having applications in information theory?
A) Biomechanics
B) Biochemistry
C) Bioinformatics
D) Biophysics
  • 27. What recreational activity is listed as an application of information theory?
A) Gambling
B) Cipher creation
C) Crosswords
D) Chess
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) Doede Nauta
B) R.V.L. Hartley
C) Gerald Edelman
D) Umberto Eco
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) C.E. Shannon
B) Winfried Nöth
C) Ferruccio Rossi-Landi
D) Giulio Tononi
  • 30. Who is listed in the history section alongside R.V.L. Hartley and C.E. Shannon?
A) Karl J. Friston
B) Winfried Nöth
C) Charles Sanders Peirce
D) Andrey Kolmogorov
  • 31. What is the historical figure H.P. Yockey associated with in the text?
A) Dynamic core hypothesis
B) Free energy principle
C) Integrated information theory
D) History of information theory
  • 32. What do physiological systems use information theory to exchange, process, and integrate as?
A) A brute force attack
B) A single organ
C) A block cipher
D) A network
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Information theory units
B) Unicity distances
C) Distinct physiological states
D) Symmetric keys
  • 34. What does network cross-communication and regulation reveal within the organism?
A) How encryption keys are generated
B) How it occurs
C) Why it ceases permanently
D) Why brute force attacks succeed
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) Enigma machine interactions
B) Cardio-respiratory interactions
C) One-time pad interactions
D) Cryptographic interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Underground bunker environments
B) Cryogenic laboratory environments
C) Simulated virtual environments
D) Extreme environments
  • 37. What was the name of Turing's information unit used in the Ultra project?
A) The bit
B) The ban
C) The byte
D) The shannon
  • 38. In which project was Turing's information unit used?
A) The Ultra project
B) The Venona project
C) The Unicity project
D) The Enigma project
  • 39. What German machine code was broken during World War II with the help of the ban?
A) Enigma machine code
B) Symmetric key code
C) One-time pad code
D) Lorenz cipher code
  • 40. What does information theory lead us to believe about keeping secrets?
A) It is completely impossible under any circumstances
B) It requires no computational effort
C) It is much more difficult than it might first appear
D) It is extremely easy using symmetric keys
  • 41. What kind of attack can break systems based on asymmetric or symmetric key algorithms?
A) A brute force attack
B) An information-theoretic attack
C) A network physiology attack
D) A conditional mutual attack
  • 42. What are symmetric key algorithms sometimes called?
A) Asymmetric algorithms
B) Secret key algorithms
C) One-time pads
D) Unicity distance algorithms
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) Bans
B) Transfer entropy
C) One-time pads
D) Block ciphers
  • 44. What must be used correctly even when applying information-theoretically secure methods?
A) Brute force
B) Care
C) Transfer entropy
D) Block ciphers
  • 45. Which project was able to crack the one-time pads of the Soviet Union?
A) The Enigma project
B) The Venona project
C) The Network Physiology project
D) The Ultra project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Rate-distortion theory
B) Channel coding
C) Lossless data compression
D) Lossy data compression
  • 47. What justifies the division of coding theory into compression and transmission?
A) Rate-distortion theory
B) Channel resolvability
C) Source-channel separation theorems
D) Pragmatic information
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Bytes
B) Entropy
C) Distortion functions
D) Bits
  • 49. What type of channel involves more than one transmitter?
A) The relay channel
B) The wiretap channel
C) The multiple-access channel
D) The broadcast channel
  • 50. What type of channel involves more than one receiver?
A) The relay channel
B) The multiple-access channel
C) The wiretap channel
D) The broadcast channel
  • 51. What type of channel involves intermediary helpers?
A) The wiretap channel
B) The relay channel
C) The broadcast channel
D) The multiple-access channel
  • 52. What should joint entropy not be confused with despite similar notation?
A) Mutual information
B) Cross-entropy
C) Conditional entropy
D) Kullback-Leibler divergence
  • 53. What type of space does the vector give values in for joint entropy?
A) Vector space
B) Euclidean space
C) Metric space
D) Product space
  • 54. What is the formula for self-information I(pi)?
A) 1 / pi
B) log2(pi)
C) -ln(pi)
D) -log2(pi)
  • 55. What is the entropy H relative to the surprisal of all possible symbols?
A) The geometric mean
B) The weighted average
C) The maximum value
D) The median
  • 56. If 1000 bits are transmitted and each is independently and equally likely to be 0 or 1, how much information has been transmitted?
A) 1000 shannons
B) 1 shannon
C) 2000 bits
D) No information
  • 57. In what year was Claude Shannon's paper 'A Mathematical Theory of Communication' published?
A) 1952
B) 1939
C) 1948
D) 1960
  • 58. In what decade was information theory established and formalized?
A) 1940s
B) 1930s
C) 1920s
D) 1950s
  • 59. In what context was information theory initially formed?
A) Molecular biology
B) Telecommunication
C) Quantum computing
D) Artificial intelligence
  • 60. What is the entropy of a coin flip when you already know the outcome after it has landed?
A) 0.5 bits
B) 1 bit
C) 2 bits
D) Zero
  • 61. What is an example of source coding or data compression mentioned in the text?
A) ZIP files
B) Compact discs
C) Voyager missions
D) DSL
  • 62. What is an example of channel coding mentioned in the text?
A) ZIP files
B) Artificial intelligence
C) DSL
D) Mobile phones
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Apollo missions
B) Hubble telescope
C) Curiosity rover
D) Voyager missions
  • 64. Which invention's success was crucially impacted by information theory?
A) Radio
B) Television
C) Compact disc
D) Steam engine
  • 65. What technology's feasibility was made possible by information theory?
A) Electric guitars
B) Mobile phones
C) Automobiles
D) Airplanes
  • 66. What modern developments were impacted by information theory alongside artificial intelligence?
A) The printing press
B) The telegraph network
C) The Internet
D) The postal service
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Cloud computing
B) Optical computing
C) Quantum computing
D) Distributed computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Oil painting restoration
B) Architectural drafting
C) Sculpture casting
D) Art creation
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Music
B) Vocal cord anatomy
C) Musical instrument design
D) Acoustic room resonance
  • 70. Which philosophical field is listed at the end of the text as an application area of information theory?
A) Aesthetics
B) Epistemology
C) Metaphysics
D) Ethics
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) James Gleick
B) Ralph Hartley
C) Vannevar Bush
D) Harry Nyquist
  • 72. In what year did Shannon outline some of his initial ideas in a letter to Vannevar Bush?
A) 1948
B) 1939
C) 1940
D) 1928
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) James Gleick
B) Vannevar Bush
C) Ludwig Boltzmann
D) Alan Turing
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Harry Nyquist
B) Ralph Hartley
C) Alan Turing
D) Claude Shannon
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) E = mc2
B) W = K log m
C) PV = nRT
D) H = log Sn
  • 76. What unit of information was sometimes called the hartley in honor of Ralph Hartley?
A) The byte
B) The bit
C) The baud
D) The decimal digit
  • 77. Who used similar ideas in 1940 as part of the statistical analysis of breaking German Enigma ciphers?
A) Harry Nyquist
B) Alan Turing
C) Ralph Hartley
D) Claude Shannon
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) James Gleick
B) Rolf Landauer
C) Vannevar Bush
D) Harry Nyquist
  • 79. What logarithmic base is the bit or shannon based on?
A) Decimal logarithm
B) Binary logarithm
C) Common logarithm
D) Natural logarithm
  • 80. What logarithmic base is the nat based on?
A) Natural logarithm
B) Common logarithm
C) Binary logarithm
D) Base-two logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Common logarithm
B) Binary logarithm
C) Base-e logarithm
D) Natural logarithm
  • 82. What does the maximum value of entropy represent?
A) A deterministic sequence
B) The lowest possible information content
C) The most predictable state
D) The most unpredictable state
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-2
B) Base-e
C) Base-256
D) Base-10
  • 84. What type of trial has two outcomes for the binary entropy function?
A) An equiprobable trial
B) A Markov trial
C) A Bernoulli trial
D) A logarithmic trial
  • 85. What is another name for conditional entropy?
A) Mutual information
B) Marginal entropy
C) Equivocation
D) Joint entropy
  • 86. What is another name for mutual information according to the text?
A) Log-likelihood ratio
B) Transinformation
C) Pointwise mutual information
D) Kullback-Leibler divergence
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Macroeconomics
B) Thermodynamics
C) Quantum mechanics
D) Communication
  • 88. Mutual information can be expressed as the average of which divergence?
A) Euclidean distance
B) Kullback-Leibler divergence
C) Mahalanobis distance
D) Jensen-Shannon divergence
  • 89. With which statistical test is mutual information closely related in the context of contingency tables?
A) Mann-Whitney U test
B) Shapiro-Wilk test
C) Log-likelihood ratio test
D) Student's t-test
  • 90. What type of mathematical function is the KL divergence classified as?
A) Linear transformation
B) Semi-quasimetric
C) Euclidean metric
D) Inner product
  • 91. In the alternative interpretation involving Alice and Bob, who knows the true probability distribution p(x)?
A) Alice
B) Neither
C) Bob
D) Both
  • 92. According to the surprise interpretation, who will be more surprised on average upon seeing the value of X?
A) It is impossible to determine
B) Alice
C) Both will be equally surprised
D) Bob
  • 93. What type of set is X assumed to be when drawing a random number in the surprise interpretation?
A) An empty set
B) A discrete set
C) A finite geometric set
D) An infinite continuous set
  • 94. Does directed information apply to statistical physics?
A) Only in quantum states
B) Yes
C) Only in macroscopic mechanics
D) No
  • 95. What does the random process Xn consist of?
A) {X0, X1, ..., X_{n-1}}
B) {X1, Y1, ..., X_n, Y_n}
C) {X1, X2, ..., X_n}
D) {Y1, Y2, ..., Y_n}
  • 96. What do the two expressions for the rate give for stationary sources?
A) A result of zero
B) The same result
C) An undefined value
D) Completely different results
  • 97. How is the noise nature of the channel considered in the text?
A) A completely controllable variable
B) A negligible factor in modern systems
C) An unpredictable random variable that changes constantly
D) An inherent fixed property
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) i
B) Hb
C) e
D) p
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Delays the input bit
B) Erases the input bit
C) Flips the input bit
D) Duplicates the input bit
  • 100. What feature do many channels have in practice?
A) Memory
B) Zero capacity
C) Ternary input
D) Gaussian noise
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