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