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Information theory - Quiz
Con il contributo di: Haynes
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Seismic exploration
B) Bioinformatics
C) Gambling
D) Cryptographic use
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) Integrated neural clusters
B) Analog processing methods
C) High Shannon entropy
D) Random seeds external to the software
  • 3. How can random seeds for pseudorandom generators be obtained?
A) Via extractors
B) Through Shannon entropy
C) By using semiotic signs
D) Via digital noise
  • 4. What is the measure of sufficient randomness in extractors?
A) Free energy
B) Min-entropy
C) Effective information
D) Dynamic core hypothesis
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Rényi entropy
B) Algorithmic 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 seismic oil exploration
D) In semiotic code control
  • 7. Does a random variable with high Shannon entropy guarantee it is satisfactory for use in an extractor?
A) Only in cryptographic systems
B) No
C) Yes
D) Only for pseudorandom numbers
  • 8. What was one early commercial application of information theory?
A) Seismic oil exploration
B) Black hole analysis
C) Search for extraterrestrial intelligence
D) Bioinformatics
  • 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) Free energy principles
B) Extractors and Rényi entropy
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) Karl J. Friston and Andrey Kolmogorov
B) Gerald Edelman and Giulio Tononi
C) Doede Nauta and Winfried Nöth
D) Umberto Eco and Ferruccio Rossi-Landi
  • 12. How did Doede Nauta define semiotic information theory?
A) The measurement of sufficient randomness in extractors
B) The separation of unwanted noise from seismic signals
C) The study of the internal processes of coding, filtering, and information processing
D) The minimization of free energy in a self-organized system
  • 13. Which semioticians used concepts like redundancy and code control to explain ideology?
A) C.E. Shannon and R.V.L. Hartley
B) Umberto Eco and Ferruccio Rossi-Landi
C) Doede Nauta and Winfried Nöth
D) Gerald Edelman and Karl J. Friston
  • 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 utilizing cryptographically secure pseudorandom seeds
C) By applying the free energy principle
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 paradox of extraterrestrial intelligence
B) The issue of seismic noise filtering
C) The binding problem in cognitive neuroscience
D) The problem of algorithmic complexity
  • 17. Whose functional clustering model and dynamic core hypothesis define an information-theoretical measure in neural processing?
A) R.V.L. Hartley and C.E. Shannon
B) Gerald Edelman and Giulio Tononi
C) Umberto Eco and Ferruccio Rossi-Landi
D) Doede Nauta and Winfried Nöth
  • 18. What is Giulio Tononi's integrated information theory (IIT) of consciousness based on?
A) Shannon entropy
B) Seismic signal processing
C) Min-entropy
D) Effective information
  • 19. What underlies the definition of measures in the context of neural information organization?
A) External cryptographic random seeds
B) A high degree of redundancy in signs
C) Analog methods of data transmission
D) A reentrant process organization
  • 20. What does a reentrant process organization refer to?
A) The synchronization of neurophysiological activity between groups of neuronal populations
B) The generation of pseudorandom numbers using extractors
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) Giulio Tononi
B) Karl J. Friston
C) Charles Sanders Peirce
D) Gerald Edelman
  • 22. What type of system does the free energy principle apply to?
A) A cryptographic random number generator
B) An analog seismic receiver
C) A dominant social class
D) A self-organized system
  • 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 integrated information theory
D) The Bayesian brain hypothesis
  • 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) Neural clusters
B) Tectonic plates
C) Black holes
D) Seismic waves
  • 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) Crosswords
B) Cipher creation
C) Chess
D) Gambling
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) Umberto Eco
B) Gerald Edelman
C) R.V.L. Hartley
D) Doede Nauta
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) Giulio Tononi
B) Winfried Nöth
C) C.E. Shannon
D) Ferruccio Rossi-Landi
  • 30. Who is listed in the history section alongside R.V.L. Hartley and C.E. Shannon?
A) Karl J. Friston
B) Charles Sanders Peirce
C) Andrey Kolmogorov
D) Winfried Nöth
  • 31. What is the historical figure H.P. Yockey associated with in the text?
A) Integrated information theory
B) Dynamic core hypothesis
C) History of information theory
D) Free energy principle
  • 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 brute force attacks succeed
B) How it occurs
C) How encryption keys are generated
D) Why it ceases permanently
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) One-time pad interactions
B) Cryptographic interactions
C) Enigma machine interactions
D) Cardio-respiratory interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Extreme environments
B) Simulated virtual environments
C) Cryogenic laboratory 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 byte
D) The bit
  • 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) Lorenz cipher code
B) One-time pad code
C) Enigma machine code
D) Symmetric key 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) 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) Block ciphers
B) One-time pads
C) Bans
D) Transfer entropy
  • 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 Ultra project
C) The Venona project
D) The Network Physiology project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Rate-distortion theory
B) Lossy data compression
C) Lossless data compression
D) Channel coding
  • 47. What justifies the division of coding theory into compression and transmission?
A) Channel resolvability
B) Rate-distortion theory
C) Pragmatic information
D) Source-channel separation theorems
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Bits
B) Bytes
C) Entropy
D) Distortion functions
  • 49. What type of channel involves more than one transmitter?
A) The broadcast channel
B) The relay channel
C) The wiretap channel
D) The multiple-access channel
  • 50. What type of channel involves more than one receiver?
A) The multiple-access channel
B) The wiretap channel
C) The relay channel
D) The broadcast channel
  • 51. What type of channel involves intermediary helpers?
A) The wiretap channel
B) The broadcast channel
C) The relay channel
D) The multiple-access channel
  • 52. What should joint entropy not be confused with despite similar notation?
A) Mutual information
B) Conditional entropy
C) Kullback-Leibler divergence
D) Cross-entropy
  • 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) -ln(pi)
B) log2(pi)
C) -log2(pi)
D) 1 / pi
  • 55. What is the entropy H relative to the surprisal of all possible symbols?
A) The maximum value
B) The median
C) The geometric mean
D) The weighted average
  • 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) 2000 bits
C) 1000 shannons
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) 1920s
C) 1950s
D) 1930s
  • 59. In what context was information theory initially formed?
A) Telecommunication
B) Quantum computing
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) 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) Voyager missions
B) Compact discs
C) ZIP files
D) DSL
  • 62. What is an example of channel coding mentioned in the text?
A) DSL
B) Artificial intelligence
C) ZIP files
D) Mobile phones
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Hubble telescope
B) Curiosity rover
C) Apollo missions
D) Voyager missions
  • 64. Which invention's success was crucially impacted by information theory?
A) Radio
B) Steam engine
C) Television
D) Compact disc
  • 65. What technology's feasibility was made possible by information theory?
A) Airplanes
B) Mobile phones
C) Automobiles
D) Electric guitars
  • 66. What modern developments were impacted by information theory alongside artificial intelligence?
A) The postal service
B) The printing press
C) The Internet
D) The telegraph network
  • 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) Art creation
B) Oil painting restoration
C) Architectural drafting
D) Sculpture casting
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Acoustic room resonance
B) Vocal cord anatomy
C) Music
D) Musical instrument design
  • 70. Which philosophical field is listed at the end of the text as an application area of information theory?
A) Aesthetics
B) Ethics
C) Metaphysics
D) Epistemology
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) James Gleick
B) Ralph Hartley
C) Harry Nyquist
D) Vannevar Bush
  • 72. In what year did Shannon outline some of his initial ideas in a letter to Vannevar Bush?
A) 1948
B) 1940
C) 1939
D) 1928
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) Vannevar Bush
B) Alan Turing
C) James Gleick
D) Ludwig Boltzmann
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Harry Nyquist
B) Claude Shannon
C) Alan Turing
D) Ralph Hartley
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) PV = nRT
B) W = K log m
C) E = mc2
D) H = log Sn
  • 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) Alan Turing
B) Harry Nyquist
C) Ralph Hartley
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) Binary logarithm
B) Decimal logarithm
C) Natural logarithm
D) Common logarithm
  • 80. What logarithmic base is the nat based on?
A) Binary logarithm
B) Natural logarithm
C) Common logarithm
D) Base-two logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Natural logarithm
B) Common logarithm
C) Binary logarithm
D) Base-e logarithm
  • 82. What does the maximum value of entropy represent?
A) The most unpredictable state
B) A deterministic sequence
C) The most predictable state
D) The lowest possible information content
  • 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) 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) Marginal entropy
C) Joint entropy
D) Equivocation
  • 86. What is another name for mutual information according to the text?
A) Log-likelihood ratio
B) Pointwise mutual information
C) Transinformation
D) Kullback-Leibler divergence
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Thermodynamics
B) Macroeconomics
C) Communication
D) Quantum mechanics
  • 88. Mutual information can be expressed as the average of which divergence?
A) Jensen-Shannon divergence
B) Euclidean distance
C) Mahalanobis 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) Log-likelihood ratio test
C) Shapiro-Wilk test
D) Student's t-test
  • 90. What type of mathematical function is the KL divergence classified as?
A) Linear transformation
B) Inner product
C) Semi-quasimetric
D) Euclidean metric
  • 91. In the alternative interpretation involving Alice and Bob, who knows the true probability distribution p(x)?
A) Bob
B) Both
C) Neither
D) Alice
  • 92. According to the surprise interpretation, who will be more surprised on average upon seeing the value of X?
A) Alice
B) Bob
C) It is impossible to determine
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) An infinite continuous set
C) An empty set
D) A finite geometric 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) {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) Completely different results
B) An undefined value
C) A result of zero
D) The same result
  • 97. How is the noise nature of the channel considered in the text?
A) A negligible factor in modern systems
B) An inherent fixed property
C) A completely controllable variable
D) An unpredictable random variable that changes constantly
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) e
B) p
C) i
D) Hb
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Duplicates the input bit
B) Delays the input bit
C) Erases the input bit
D) Flips the input bit
  • 100. What feature do many channels have in practice?
A) Gaussian noise
B) Memory
C) Ternary input
D) Zero capacity
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