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Information theory - Quiz
Beigesteuert von: Haynes
  • 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) 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) Through Shannon entropy
B) Via digital noise
C) By using semiotic signs
D) Via extractors
  • 4. What is the measure of sufficient randomness in extractors?
A) Dynamic core hypothesis
B) Min-entropy
C) Effective information
D) Free energy
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Thermal entropy
B) Conditional entropy
C) Algorithmic entropy
D) Rényi entropy
  • 6. Where is Rényi entropy also used?
A) In evaluating randomness in cryptographic systems
B) In semiotic code control
C) In minimizing free energy
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 for pseudorandom numbers
C) No
D) Only in cryptographic systems
  • 8. What was one early commercial application of information theory?
A) Black hole analysis
B) Bioinformatics
C) Search for extraterrestrial intelligence
D) Seismic oil exploration
  • 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) Minimize free energy in the brain
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) Information theory and digital signal processing
D) Cryptographically secure pseudorandom number generators
  • 11. Which semioticians considered Charles Sanders Peirce as having created a theory of information?
A) Umberto Eco and Ferruccio Rossi-Landi
B) Doede Nauta and Winfried Nöth
C) Karl J. Friston and Andrey Kolmogorov
D) Gerald Edelman and Giulio Tononi
  • 12. How did Doede Nauta define semiotic information theory?
A) The study of the internal processes of coding, filtering, and information processing
B) The measurement of sufficient randomness in extractors
C) The separation of unwanted noise from seismic signals
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) Doede Nauta and Winfried Nöth
C) Gerald Edelman and Karl J. Friston
D) Umberto Eco and Ferruccio Rossi-Landi
  • 14. In semiotic explanations of ideology, how does a dominant social class emit its message?
A) By utilizing cryptographically secure pseudorandom seeds
B) By applying the free energy principle
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 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 binding problem in cognitive neuroscience
B) The issue of seismic noise filtering
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) Doede Nauta and Winfried Nöth
B) R.V.L. Hartley and C.E. Shannon
C) Gerald Edelman and Giulio Tononi
D) Umberto Eco and Ferruccio Rossi-Landi
  • 18. What is Giulio Tononi's integrated information theory (IIT) of consciousness based on?
A) Seismic signal processing
B) Effective information
C) Shannon entropy
D) Min-entropy
  • 19. What underlies the definition of measures in the context of neural information organization?
A) Analog methods of data transmission
B) External cryptographic random seeds
C) A reentrant process organization
D) A high degree of redundancy in signs
  • 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) 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 cryptographic random number generator
B) An analog seismic receiver
C) A self-organized system
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 Bayesian brain hypothesis
B) The semiotic information theory
C) The dynamic core hypothesis
D) The integrated information theory
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Search for extraterrestrial intelligence
B) Phrenology
C) Astrology
D) Alchemy
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Black holes
B) Seismic waves
C) Neural clusters
D) Tectonic plates
  • 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) Crosswords
C) Cipher creation
D) Chess
  • 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) Winfried Nöth
B) Ferruccio Rossi-Landi
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) Winfried Nöth
B) Andrey Kolmogorov
C) Karl J. Friston
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 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) Unicity distances
B) Symmetric keys
C) Distinct physiological states
D) Information theory units
  • 34. What does network cross-communication and regulation reveal within the organism?
A) How it occurs
B) Why it ceases permanently
C) How encryption keys are generated
D) Why brute force attacks succeed
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) Cryptographic interactions
B) Enigma machine 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) Cryogenic laboratory environments
B) Extreme environments
C) Underground bunker environments
D) Simulated virtual environments
  • 37. What was the name of Turing's information unit used in the Ultra project?
A) The shannon
B) The byte
C) The bit
D) The ban
  • 38. In which project was Turing's information unit used?
A) The Venona project
B) The Ultra project
C) The Enigma 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) Enigma machine code
D) Symmetric key 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 is completely impossible under any circumstances
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) 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) One-time pads
B) Unicity distance algorithms
C) Secret key algorithms
D) Asymmetric algorithms
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) One-time pads
B) Bans
C) Block ciphers
D) Transfer entropy
  • 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 Enigma project
B) The Network Physiology project
C) The Venona project
D) The Ultra 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) Pragmatic information
C) Rate-distortion theory
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) Distortion functions
C) Bytes
D) Entropy
  • 49. What type of channel involves more than one transmitter?
A) The multiple-access channel
B) The broadcast channel
C) The wiretap channel
D) The relay channel
  • 50. What type of channel involves more than one receiver?
A) The broadcast channel
B) The multiple-access channel
C) The wiretap channel
D) The relay channel
  • 51. What type of channel involves intermediary helpers?
A) The multiple-access channel
B) The relay channel
C) The broadcast channel
D) The wiretap 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) Product space
B) Metric space
C) Euclidean space
D) Vector space
  • 54. What is the formula for self-information I(pi)?
A) -log2(pi)
B) log2(pi)
C) -ln(pi)
D) 1 / 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) No information
D) 2000 bits
  • 57. In what year was Claude Shannon's paper 'A Mathematical Theory of Communication' published?
A) 1952
B) 1960
C) 1948
D) 1939
  • 58. In what decade was information theory established and formalized?
A) 1920s
B) 1940s
C) 1950s
D) 1930s
  • 59. In what context was information theory initially formed?
A) Molecular biology
B) Telecommunication
C) Artificial intelligence
D) Quantum computing
  • 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) ZIP files
B) Voyager missions
C) Compact discs
D) DSL
  • 62. What is an example of channel coding mentioned in the text?
A) DSL
B) ZIP files
C) Mobile phones
D) Artificial intelligence
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Curiosity rover
B) Hubble telescope
C) Voyager missions
D) Apollo missions
  • 64. Which invention's success was crucially impacted by information theory?
A) Steam engine
B) Radio
C) Compact disc
D) Television
  • 65. What technology's feasibility was made possible by information theory?
A) Automobiles
B) Electric guitars
C) Airplanes
D) Mobile phones
  • 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) Quantum computing
B) Cloud computing
C) Distributed computing
D) Optical computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Oil painting restoration
B) Architectural drafting
C) Sculpture casting
D) Art creation
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Musical instrument design
B) Vocal cord anatomy
C) Acoustic room resonance
D) Music
  • 70. Which philosophical field is listed at the end of the text as an application area of information theory?
A) Ethics
B) Aesthetics
C) Metaphysics
D) Epistemology
  • 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) James Gleick
B) Alan Turing
C) Vannevar Bush
D) Ludwig Boltzmann
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Claude Shannon
B) Harry Nyquist
C) Alan Turing
D) Ralph Hartley
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) PV = nRT
B) E = mc2
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 baud
B) The byte
C) The bit
D) The decimal digit
  • 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) Rolf Landauer
B) James Gleick
C) Harry Nyquist
D) Vannevar Bush
  • 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) Base-two logarithm
C) Natural logarithm
D) Common logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Natural logarithm
B) Binary logarithm
C) Base-e logarithm
D) Common logarithm
  • 82. What does the maximum value of entropy represent?
A) The lowest possible information content
B) The most unpredictable state
C) A deterministic sequence
D) The most predictable state
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-e
B) Base-256
C) Base-10
D) Base-2
  • 84. What type of trial has two outcomes for the binary entropy function?
A) An equiprobable trial
B) A Markov trial
C) A logarithmic trial
D) A Bernoulli trial
  • 85. What is another name for conditional entropy?
A) Equivocation
B) Joint entropy
C) Marginal entropy
D) Mutual information
  • 86. What is another name for mutual information according to the text?
A) Kullback-Leibler divergence
B) Transinformation
C) Log-likelihood ratio
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) Communication
C) Thermodynamics
D) Macroeconomics
  • 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) Shapiro-Wilk test
B) Mann-Whitney U test
C) Log-likelihood ratio test
D) Student's t-test
  • 90. What type of mathematical function is the KL divergence classified as?
A) Euclidean metric
B) Inner product
C) Semi-quasimetric
D) Linear transformation
  • 91. In the alternative interpretation involving Alice and Bob, who knows the true probability distribution p(x)?
A) Alice
B) Bob
C) Neither
D) Both
  • 92. According to the surprise interpretation, who will be more surprised on average upon seeing the value of X?
A) Alice
B) Both will be equally surprised
C) It is impossible to determine
D) Bob
  • 93. What type of set is X assumed to be when drawing a random number in the surprise interpretation?
A) A finite geometric set
B) A discrete set
C) An empty set
D) An infinite continuous set
  • 94. Does directed information apply to statistical physics?
A) Only in quantum states
B) Yes
C) Only in macroscopic mechanics
D) No
  • 95. What does the random process Xn consist of?
A) {X1, X2, ..., X_n}
B) {X1, Y1, ..., X_n, Y_n}
C) {X0, X1, ..., X_{n-1}}
D) {Y1, Y2, ..., Y_n}
  • 96. What do the two expressions for the rate give for stationary sources?
A) Completely different results
B) An undefined value
C) The same result
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) i
B) e
C) p
D) Hb
  • 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) Gaussian noise
B) Memory
C) Zero capacity
D) Ternary input
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