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Information theory - Quiz
Contribué par: Haynes
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Bioinformatics
B) Cryptographic use
C) Gambling
D) Seismic exploration
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) Integrated neural clusters
B) Random seeds external to the software
C) Analog processing methods
D) High Shannon entropy
  • 3. How can random seeds for pseudorandom generators be obtained?
A) Via extractors
B) By using semiotic signs
C) Via digital noise
D) Through Shannon entropy
  • 4. What is the measure of sufficient randomness in extractors?
A) Free energy
B) Effective information
C) Min-entropy
D) Dynamic core hypothesis
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Algorithmic entropy
B) Thermal entropy
C) Rényi entropy
D) Conditional entropy
  • 6. Where is Rényi entropy also used?
A) In semiotic code control
B) In minimizing free energy
C) In seismic oil exploration
D) In evaluating randomness in cryptographic systems
  • 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) Only for pseudorandom numbers
D) Yes
  • 8. What was one early commercial application of information theory?
A) Bioinformatics
B) Black hole analysis
C) Seismic oil exploration
D) Search for extraterrestrial intelligence
  • 9. What did information theory make it possible to do in seismic exploration?
A) Strip off and separate unwanted noise from the desired seismic signal
B) Decode dominant social messages
C) Generate secure pseudorandom numbers
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) 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) Doede Nauta and Winfried Nöth
D) Karl J. Friston and Andrey Kolmogorov
  • 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) 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 applying the free energy principle
B) Through digital signal processing of seismic signals
C) By using signs that exhibit a high degree of redundancy
D) By utilizing cryptographically secure pseudorandom seeds
  • 15. Where have quantitative information theoretic methods been applied in cognitive science?
A) To analyze the integrated process organization of neural information
B) To study black holes and bioinformatics
C) To explore seismic oil deposits
D) To extract random numbers for cryptography
  • 16. What neurological problem is linked to the analysis of neural information organization?
A) The binding problem in cognitive neuroscience
B) The paradox of extraterrestrial intelligence
C) The problem of algorithmic complexity
D) The issue of seismic noise filtering
  • 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) Umberto Eco and Ferruccio Rossi-Landi
C) Gerald Edelman and Giulio Tononi
D) Doede Nauta and Winfried Nöth
  • 18. What is Giulio Tononi's integrated information theory (IIT) of consciousness based on?
A) Seismic signal processing
B) Min-entropy
C) Effective information
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) External cryptographic random seeds
C) A reentrant process organization
D) Analog methods of data transmission
  • 20. What does a reentrant process organization refer to?
A) The coding and filtering processes studied in semiotics
B) The filtering of unwanted noise from desired seismic signals
C) The generation of pseudorandom numbers using extractors
D) The synchronization of neurophysiological activity between groups of neuronal populations
  • 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 cryptographic random number generator
B) A dominant social class
C) An analog seismic receiver
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 Bayesian brain hypothesis
D) The integrated information theory
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Alchemy
B) Astrology
C) Phrenology
D) Search for extraterrestrial intelligence
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Tectonic plates
B) Black holes
C) Neural clusters
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) 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) 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) 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) Dynamic core hypothesis
B) History of information theory
C) Free energy principle
D) Integrated 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 network
D) A block cipher
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Symmetric keys
B) Information theory units
C) Unicity distances
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 it occurs
D) How encryption keys are generated
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) One-time pad interactions
B) Enigma machine interactions
C) Cardio-respiratory interactions
D) Cryptographic 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 byte
B) The bit
C) The shannon
D) The ban
  • 38. In which project was Turing's information unit used?
A) The Enigma project
B) The Ultra project
C) The Venona project
D) The Unicity 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) Symmetric key code
D) Enigma machine 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 is extremely easy using symmetric keys
D) It requires no computational effort
  • 41. What kind of attack can break systems based on asymmetric or symmetric key algorithms?
A) A brute force attack
B) A conditional mutual attack
C) A network physiology attack
D) An information-theoretic attack
  • 42. What are symmetric key algorithms sometimes called?
A) Secret key algorithms
B) Asymmetric algorithms
C) Unicity distance 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) Transfer entropy
D) Bans
  • 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 Ultra project
B) The Network Physiology project
C) The Enigma project
D) The Venona project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Channel coding
B) Lossy data compression
C) Rate-distortion theory
D) Lossless data compression
  • 47. What justifies the division of coding theory into compression and transmission?
A) Source-channel separation theorems
B) Channel resolvability
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) 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 relay channel
B) The broadcast channel
C) The multiple-access channel
D) The wiretap 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) Cross-entropy
B) Kullback-Leibler divergence
C) Conditional entropy
D) Mutual information
  • 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) -log2(pi)
B) -ln(pi)
C) log2(pi)
D) 1 / pi
  • 55. What is the entropy H relative to the surprisal of all possible symbols?
A) The geometric mean
B) The median
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) 1952
B) 1948
C) 1939
D) 1960
  • 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) Molecular biology
B) Quantum computing
C) Telecommunication
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) Zero
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) DSL
C) Compact discs
D) ZIP files
  • 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) 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) Television
C) Steam engine
D) Compact disc
  • 65. What technology's feasibility was made possible by information theory?
A) Mobile phones
B) Automobiles
C) Electric guitars
D) Airplanes
  • 66. What modern developments were impacted by information theory alongside artificial intelligence?
A) The telegraph network
B) The printing press
C) The postal service
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) Art creation
C) Oil painting restoration
D) Sculpture casting
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Musical instrument design
B) Music
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) Epistemology
C) Ethics
D) Aesthetics
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) Ralph Hartley
B) Harry Nyquist
C) Vannevar Bush
D) James Gleick
  • 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) Harry Nyquist
D) Alan Turing
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) H = log Sn
B) PV = nRT
C) W = K log m
D) E = mc2
  • 76. What unit of information was sometimes called the hartley in honor of Ralph Hartley?
A) The byte
B) The bit
C) The decimal digit
D) The baud
  • 77. Who used similar ideas in 1940 as part of the statistical analysis of breaking German Enigma ciphers?
A) Harry Nyquist
B) Ralph Hartley
C) Claude Shannon
D) Alan Turing
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) Rolf Landauer
B) Harry Nyquist
C) Vannevar Bush
D) James Gleick
  • 79. What logarithmic base is the bit or shannon based on?
A) Binary logarithm
B) Common logarithm
C) Natural logarithm
D) Decimal logarithm
  • 80. What logarithmic base is the nat based on?
A) Base-two logarithm
B) Natural logarithm
C) Common logarithm
D) Binary logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Binary logarithm
B) Common logarithm
C) Base-e logarithm
D) Natural logarithm
  • 82. What does the maximum value of entropy represent?
A) The most predictable state
B) The most unpredictable state
C) A deterministic sequence
D) The lowest possible information content
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-10
B) Base-2
C) Base-256
D) Base-e
  • 84. What type of trial has two outcomes for the binary entropy function?
A) A logarithmic trial
B) A Markov trial
C) An equiprobable trial
D) A Bernoulli trial
  • 85. What is another name for conditional entropy?
A) Marginal entropy
B) Joint entropy
C) Mutual information
D) Equivocation
  • 86. What is another name for mutual information according to the text?
A) Transinformation
B) Pointwise mutual information
C) Log-likelihood ratio
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) Communication
C) Quantum mechanics
D) Thermodynamics
  • 88. Mutual information can be expressed as the average of which divergence?
A) Mahalanobis distance
B) Euclidean distance
C) Jensen-Shannon divergence
D) Kullback-Leibler divergence
  • 89. With which statistical test is mutual information closely related in the context of contingency tables?
A) Student's t-test
B) Shapiro-Wilk test
C) Log-likelihood ratio test
D) Mann-Whitney U 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) Both
B) Alice
C) Neither
D) Bob
  • 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) An infinite continuous set
D) A finite geometric set
  • 94. Does directed information apply to statistical physics?
A) Only in macroscopic mechanics
B) Only in quantum states
C) Yes
D) No
  • 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) The same result
B) Completely different results
C) An undefined value
D) A result of zero
  • 97. How is the noise nature of the channel considered in the text?
A) A negligible factor in modern systems
B) A completely controllable variable
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) Hb
B) e
C) p
D) i
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Delays the input bit
B) Duplicates the input bit
C) Flips the input bit
D) Erases the input bit
  • 100. What feature do many channels have in practice?
A) Ternary input
B) Zero capacity
C) Memory
D) Gaussian noise
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