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