Information theory - Quiz
Information theory
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Seismic exploration
B) Cryptographic use
C) Gambling
D) Bioinformatics
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) Random seeds external to the software
B) Integrated neural clusters
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) Effective information
B) Dynamic core hypothesis
C) Free energy
D) Min-entropy
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Conditional entropy
B) Algorithmic entropy
C) Rényi entropy
D) Thermal entropy
  • 6. Where is Rényi entropy also used?
A) In seismic oil exploration
B) In semiotic code control
C) In minimizing free energy
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) Only for pseudorandom numbers
C) Yes
D) No
  • 8. What was one early commercial application of information theory?
A) Black hole analysis
B) Seismic oil exploration
C) Search for extraterrestrial intelligence
D) Bioinformatics
  • 9. What did information theory make it possible to do in seismic exploration?
A) Decode dominant social messages
B) Generate secure pseudorandom numbers
C) Minimize free energy in the brain
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) 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) Gerald Edelman and Giulio Tononi
B) Doede Nauta and Winfried Nöth
C) Umberto Eco and Ferruccio Rossi-Landi
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 study of the internal processes of coding, filtering, and information processing
C) The minimization of free energy in a self-organized system
D) The separation of unwanted noise from seismic signals
  • 13. Which semioticians used concepts like redundancy and code control to explain ideology?
A) Doede Nauta and Winfried Nöth
B) C.E. Shannon and R.V.L. Hartley
C) Umberto Eco and Ferruccio Rossi-Landi
D) Gerald Edelman and Karl J. Friston
  • 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) By using signs that exhibit a high degree of redundancy
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 explore seismic oil deposits
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 paradox of extraterrestrial intelligence
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) 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) Analog methods of data transmission
C) External cryptographic random seeds
D) A reentrant process organization
  • 20. What does a reentrant process organization refer to?
A) The generation of pseudorandom numbers using extractors
B) The coding and filtering processes studied in semiotics
C) The synchronization of neurophysiological activity between groups of neuronal populations
D) The filtering of unwanted noise from desired seismic signals
  • 21. Whose free energy principle (FEP) states that every adaptive change leads to a minimization of free energy?
A) Karl J. Friston
B) Charles Sanders Peirce
C) Giulio Tononi
D) Gerald Edelman
  • 22. What type of system does the free energy principle apply to?
A) An analog seismic receiver
B) A cryptographic random number generator
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 integrated information theory
B) The semiotic information theory
C) The Bayesian brain hypothesis
D) The dynamic core hypothesis
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Search for extraterrestrial intelligence
B) Phrenology
C) Alchemy
D) Astrology
  • 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) Biochemistry
B) Biophysics
C) Biomechanics
D) Bioinformatics
  • 27. What recreational activity is listed as an application of information theory?
A) Chess
B) Gambling
C) Crosswords
D) Cipher creation
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) R.V.L. Hartley
B) Gerald Edelman
C) Doede Nauta
D) Umberto Eco
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) Winfried Nöth
B) Giulio Tononi
C) Ferruccio Rossi-Landi
D) C.E. Shannon
  • 30. Who is listed in the history section alongside R.V.L. Hartley and C.E. Shannon?
A) Charles Sanders Peirce
B) Karl J. Friston
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) Free energy principle
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 single organ
C) A block cipher
D) A network
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Unicity distances
B) Symmetric keys
C) Information theory units
D) Distinct physiological states
  • 34. What does network cross-communication and regulation reveal within the organism?
A) How it occurs
B) Why brute force attacks succeed
C) Why it ceases permanently
D) How encryption keys are generated
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) Cryptographic interactions
B) Cardio-respiratory interactions
C) One-time pad interactions
D) Enigma machine interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Extreme environments
B) Underground bunker environments
C) Cryogenic laboratory 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 bit
C) The ban
D) The byte
  • 38. In which project was Turing's information unit used?
A) The Unicity project
B) The Ultra project
C) The Enigma 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) 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 much more difficult than it might first appear
B) It requires no computational effort
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) An information-theoretic attack
B) A network physiology attack
C) A brute force attack
D) A conditional mutual attack
  • 42. What are symmetric key algorithms sometimes called?
A) Unicity distance algorithms
B) One-time pads
C) Secret key algorithms
D) Asymmetric algorithms
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) Bans
B) One-time pads
C) Block ciphers
D) Transfer entropy
  • 44. What must be used correctly even when applying information-theoretically secure methods?
A) Transfer entropy
B) Brute force
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 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) Lossless data compression
B) Rate-distortion theory
C) Channel coding
D) Lossy data compression
  • 47. What justifies the division of coding theory into compression and transmission?
A) Pragmatic information
B) Channel resolvability
C) Source-channel separation theorems
D) Rate-distortion theory
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Bits
B) Entropy
C) Bytes
D) Distortion functions
  • 49. What type of channel involves more than one transmitter?
A) The relay channel
B) The multiple-access channel
C) The broadcast channel
D) The wiretap channel
  • 50. What type of channel involves more than one receiver?
A) The broadcast channel
B) The relay channel
C) The wiretap channel
D) The multiple-access 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) Cross-entropy
B) Conditional entropy
C) Kullback-Leibler divergence
D) Mutual information
  • 53. What type of space does the vector give values in for joint entropy?
A) Metric space
B) Euclidean space
C) Vector space
D) Product space
  • 54. What is the formula for self-information I(pi)?
A) -ln(pi)
B) 1 / pi
C) log2(pi)
D) -log2(pi)
  • 55. What is the entropy H relative to the surprisal of all possible symbols?
A) The median
B) The maximum value
C) The weighted average
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) 1000 shannons
B) No information
C) 1 shannon
D) 2000 bits
  • 57. In what year was Claude Shannon's paper 'A Mathematical Theory of Communication' published?
A) 1939
B) 1952
C) 1960
D) 1948
  • 58. In what decade was information theory established and formalized?
A) 1920s
B) 1930s
C) 1950s
D) 1940s
  • 59. In what context was information theory initially formed?
A) Artificial intelligence
B) Molecular biology
C) Quantum computing
D) Telecommunication
  • 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) 1 bit
D) 0.5 bits
  • 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) ZIP files
B) DSL
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) Apollo missions
D) Voyager missions
  • 64. Which invention's success was crucially impacted by information theory?
A) Television
B) Steam engine
C) Compact disc
D) Radio
  • 65. What technology's feasibility was made possible by information theory?
A) Mobile phones
B) Electric guitars
C) Airplanes
D) Automobiles
  • 66. What modern developments were impacted by information theory alongside artificial intelligence?
A) The printing press
B) The telegraph network
C) The Internet
D) The postal service
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Quantum computing
B) Distributed computing
C) Cloud computing
D) Optical computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Sculpture casting
B) Architectural drafting
C) Art creation
D) Oil painting restoration
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Musical instrument design
B) Music
C) Acoustic room resonance
D) Vocal cord anatomy
  • 70. Which philosophical field is listed at the end of the text as an application area of information theory?
A) Aesthetics
B) Ethics
C) Epistemology
D) Metaphysics
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) Ralph Hartley
B) Harry Nyquist
C) James Gleick
D) Vannevar Bush
  • 72. In what year did Shannon outline some of his initial ideas in a letter to Vannevar Bush?
A) 1940
B) 1948
C) 1928
D) 1939
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) Vannevar Bush
B) James Gleick
C) Alan Turing
D) Ludwig Boltzmann
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Claude Shannon
B) Harry Nyquist
C) Ralph Hartley
D) Alan Turing
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) W = K log m
B) E = mc2
C) H = log Sn
D) PV = nRT
  • 76. What unit of information was sometimes called the hartley in honor of Ralph Hartley?
A) The decimal digit
B) The baud
C) The byte
D) The bit
  • 77. Who used similar ideas in 1940 as part of the statistical analysis of breaking German Enigma ciphers?
A) Ralph Hartley
B) Claude Shannon
C) Alan Turing
D) Harry Nyquist
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) Rolf Landauer
B) Vannevar Bush
C) James Gleick
D) Harry Nyquist
  • 79. What logarithmic base is the bit or shannon based on?
A) Common logarithm
B) Binary logarithm
C) Decimal logarithm
D) Natural logarithm
  • 80. What logarithmic base is the nat based on?
A) Natural logarithm
B) Common logarithm
C) Binary logarithm
D) Base-two logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Common logarithm
B) Binary 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-256
B) Base-10
C) Base-2
D) Base-e
  • 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) Joint entropy
B) Marginal entropy
C) Mutual information
D) Equivocation
  • 86. What is another name for mutual information according to the text?
A) Transinformation
B) Kullback-Leibler divergence
C) Pointwise mutual information
D) Log-likelihood ratio
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Quantum mechanics
B) Thermodynamics
C) Macroeconomics
D) Communication
  • 88. Mutual information can be expressed as the average of which divergence?
A) Kullback-Leibler divergence
B) Jensen-Shannon divergence
C) Mahalanobis distance
D) Euclidean distance
  • 89. With which statistical test is mutual information closely related in the context of contingency tables?
A) Mann-Whitney U test
B) Shapiro-Wilk test
C) Log-likelihood ratio test
D) Student's t-test
  • 90. What type of mathematical function is the KL divergence classified as?
A) Inner product
B) Linear transformation
C) Euclidean metric
D) Semi-quasimetric
  • 91. In the alternative interpretation involving Alice and Bob, who knows the true probability distribution p(x)?
A) Bob
B) Alice
C) Both
D) Neither
  • 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) An infinite continuous set
B) A discrete set
C) An empty set
D) A finite geometric set
  • 94. Does directed information apply to statistical physics?
A) No
B) Yes
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) {X1, X2, ..., X_n}
C) {X0, X1, ..., X_{n-1}}
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) 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) An unpredictable random variable that changes constantly
C) A completely controllable variable
D) An inherent fixed property
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) i
B) e
C) Hb
D) p
  • 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) Memory
B) Ternary input
C) Zero capacity
D) Gaussian noise
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