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