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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) Gambling
B) Bioinformatics
C) Seismic exploration
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) Random seeds external to the software
D) High Shannon entropy
  • 3. How can random seeds for pseudorandom generators be obtained?
A) Via digital noise
B) Via extractors
C) By using semiotic signs
D) Through Shannon entropy
  • 4. What is the measure of sufficient randomness in extractors?
A) Min-entropy
B) Effective information
C) Dynamic core hypothesis
D) Free energy
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Rényi entropy
B) Conditional entropy
C) Thermal entropy
D) Algorithmic entropy
  • 6. Where is Rényi entropy also used?
A) In evaluating randomness in cryptographic systems
B) In semiotic code control
C) In seismic oil exploration
D) In minimizing free energy
  • 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) Search for extraterrestrial intelligence
B) Black hole analysis
C) Seismic oil exploration
D) Bioinformatics
  • 9. What did information theory make it possible to do in seismic exploration?
A) Generate secure pseudorandom numbers
B) Strip off and separate unwanted noise from the desired seismic signal
C) Minimize free energy in the brain
D) Decode dominant social messages
  • 10. What methods offered a major improvement of resolution and image clarity over previous analog methods in seismic work?
A) Cryptographically secure pseudorandom number generators
B) Information theory and digital signal processing
C) Extractors and Rényi entropy
D) Free energy principles
  • 11. Which semioticians considered Charles Sanders Peirce as having created a theory of information?
A) Karl J. Friston and Andrey Kolmogorov
B) Umberto Eco and Ferruccio Rossi-Landi
C) Gerald Edelman and Giulio Tononi
D) Doede Nauta and Winfried Nöth
  • 12. How did Doede Nauta define semiotic information theory?
A) The separation of unwanted noise from seismic signals
B) The minimization of free energy in a self-organized system
C) The measurement of sufficient randomness in extractors
D) The study of the internal processes of coding, filtering, and information processing
  • 13. Which semioticians used concepts like redundancy and code control to explain ideology?
A) Umberto Eco and Ferruccio Rossi-Landi
B) Gerald Edelman and Karl J. Friston
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 utilizing cryptographically secure pseudorandom seeds
B) Through digital signal processing of seismic signals
C) By applying the free energy principle
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 issue of seismic noise filtering
B) The problem of algorithmic complexity
C) The binding problem in cognitive neuroscience
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) R.V.L. Hartley and C.E. Shannon
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) Effective information
B) Seismic signal processing
C) Min-entropy
D) Shannon entropy
  • 19. What underlies the definition of measures in the context of neural information organization?
A) External cryptographic random seeds
B) A reentrant process organization
C) A high degree of redundancy in signs
D) Analog methods of data transmission
  • 20. What does a reentrant process organization refer to?
A) The synchronization of neurophysiological activity between groups of neuronal populations
B) The coding and filtering processes studied in semiotics
C) The generation of pseudorandom numbers using extractors
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) Charles Sanders Peirce
B) Gerald Edelman
C) Karl J. Friston
D) Giulio Tononi
  • 22. What type of system does the free energy principle apply to?
A) A dominant social class
B) A cryptographic random number generator
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 Bayesian brain hypothesis
B) The dynamic core hypothesis
C) The semiotic information theory
D) The integrated information theory
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Phrenology
B) Alchemy
C) Search for extraterrestrial intelligence
D) Astrology
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Seismic waves
B) Neural clusters
C) Tectonic plates
D) Black holes
  • 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) Crosswords
C) Cipher creation
D) Gambling
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) R.V.L. Hartley
B) Umberto Eco
C) Gerald Edelman
D) Doede Nauta
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) Winfried Nöth
B) Ferruccio Rossi-Landi
C) C.E. Shannon
D) Giulio Tononi
  • 30. Who is listed in the history section alongside R.V.L. Hartley and C.E. Shannon?
A) Andrey Kolmogorov
B) Charles Sanders Peirce
C) Karl J. Friston
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) Dynamic core hypothesis
D) History of information theory
  • 32. What do physiological systems use information theory to exchange, process, and integrate as?
A) A block cipher
B) A network
C) A brute force attack
D) A single organ
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Information theory units
B) Unicity distances
C) Symmetric keys
D) Distinct physiological states
  • 34. What does network cross-communication and regulation reveal within the organism?
A) Why it ceases permanently
B) How encryption keys are generated
C) Why brute force attacks succeed
D) How it occurs
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) Cardio-respiratory interactions
B) Enigma machine interactions
C) Cryptographic interactions
D) One-time pad interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Extreme environments
B) Underground bunker environments
C) Simulated virtual environments
D) Cryogenic laboratory environments
  • 37. What was the name of Turing's information unit used in the Ultra project?
A) The shannon
B) The bit
C) The byte
D) The ban
  • 38. In which project was Turing's information unit used?
A) The Unicity project
B) The Enigma project
C) The Ultra project
D) The Venona project
  • 39. What German machine code was broken during World War II with the help of the ban?
A) Lorenz cipher code
B) Enigma machine code
C) One-time pad 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 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 network physiology attack
D) A brute force 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) Bans
B) Transfer entropy
C) One-time pads
D) Block ciphers
  • 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 Ultra project
B) The Enigma project
C) The Venona project
D) The Network Physiology project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Lossless data compression
B) Rate-distortion theory
C) Lossy data compression
D) Channel coding
  • 47. What justifies the division of coding theory into compression and transmission?
A) Rate-distortion theory
B) Pragmatic information
C) Source-channel separation theorems
D) Channel resolvability
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Distortion functions
B) Bits
C) Bytes
D) Entropy
  • 49. What type of channel involves more than one transmitter?
A) The multiple-access channel
B) The wiretap channel
C) The broadcast channel
D) The relay channel
  • 50. What type of channel involves more than one receiver?
A) The multiple-access channel
B) The relay channel
C) The broadcast channel
D) The wiretap channel
  • 51. What type of channel involves intermediary helpers?
A) The wiretap channel
B) The broadcast channel
C) The multiple-access channel
D) The relay channel
  • 52. What should joint entropy not be confused with despite similar notation?
A) Conditional entropy
B) Cross-entropy
C) Kullback-Leibler divergence
D) Mutual information
  • 53. What type of space does the vector give values in for joint entropy?
A) Product space
B) Metric space
C) Vector space
D) Euclidean space
  • 54. What is the formula for self-information I(pi)?
A) 1 / pi
B) -ln(pi)
C) log2(pi)
D) -log2(pi)
  • 55. What is the entropy H relative to the surprisal of all possible symbols?
A) The maximum value
B) The geometric mean
C) The weighted average
D) The median
  • 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) 1948
B) 1939
C) 1960
D) 1952
  • 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) Artificial intelligence
C) Telecommunication
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) 1 bit
D) 0.5 bits
  • 61. What is an example of source coding or data compression mentioned in the text?
A) Compact discs
B) ZIP files
C) Voyager missions
D) DSL
  • 62. What is an example of channel coding mentioned in the text?
A) ZIP files
B) Artificial intelligence
C) Mobile phones
D) DSL
  • 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) Radio
B) Television
C) Steam engine
D) Compact disc
  • 65. What technology's feasibility was made possible by information theory?
A) Airplanes
B) Automobiles
C) Electric guitars
D) Mobile phones
  • 66. What modern developments were impacted by information theory alongside artificial intelligence?
A) The Internet
B) The postal service
C) The printing press
D) The telegraph network
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Cloud computing
B) Distributed computing
C) Optical computing
D) Quantum computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Oil painting restoration
B) Art creation
C) Sculpture casting
D) Architectural drafting
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Vocal cord anatomy
B) Musical instrument design
C) Music
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) 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) 1928
B) 1940
C) 1948
D) 1939
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) James Gleick
B) Ludwig Boltzmann
C) Alan Turing
D) Vannevar Bush
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Claude Shannon
B) Alan Turing
C) Harry Nyquist
D) Ralph Hartley
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) H = log Sn
B) E = mc2
C) W = K log m
D) PV = nRT
  • 76. What unit of information was sometimes called the hartley in honor of Ralph Hartley?
A) The byte
B) The bit
C) The baud
D) The decimal digit
  • 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) James Gleick
B) Rolf Landauer
C) Harry Nyquist
D) Vannevar Bush
  • 79. What logarithmic base is the bit or shannon based on?
A) Binary logarithm
B) Decimal logarithm
C) Common logarithm
D) Natural logarithm
  • 80. What logarithmic base is the nat based on?
A) Base-two logarithm
B) Common logarithm
C) Natural logarithm
D) Binary logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Base-e logarithm
B) Natural logarithm
C) Common logarithm
D) Binary logarithm
  • 82. What does the maximum value of entropy represent?
A) The lowest possible information content
B) The most predictable state
C) A deterministic sequence
D) The most unpredictable state
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-2
B) Base-256
C) Base-e
D) Base-10
  • 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) Marginal entropy
B) Equivocation
C) Mutual information
D) Joint entropy
  • 86. What is another name for mutual information according to the text?
A) Pointwise mutual information
B) Transinformation
C) Kullback-Leibler divergence
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) Thermodynamics
C) Quantum mechanics
D) Macroeconomics
  • 88. Mutual information can be expressed as the average of which divergence?
A) Euclidean distance
B) Mahalanobis distance
C) Kullback-Leibler divergence
D) Jensen-Shannon divergence
  • 89. With which statistical test is mutual information closely related in the context of contingency tables?
A) Log-likelihood ratio test
B) Student's t-test
C) Shapiro-Wilk test
D) Mann-Whitney U 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) Neither
B) Alice
C) Both
D) Bob
  • 92. According to the surprise interpretation, who will be more surprised on average upon seeing the value of X?
A) Alice
B) Bob
C) Both will be equally surprised
D) It is impossible to determine
  • 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) A finite geometric set
D) An empty set
  • 94. Does directed information apply to statistical physics?
A) No
B) Only in macroscopic mechanics
C) Yes
D) Only in quantum states
  • 95. What does the random process Xn consist of?
A) {X1, Y1, ..., X_n, Y_n}
B) {Y1, Y2, ..., Y_n}
C) {X1, X2, ..., X_n}
D) {X0, X1, ..., X_{n-1}}
  • 96. What do the two expressions for the rate give for stationary sources?
A) A result of zero
B) Completely different results
C) An undefined value
D) The same result
  • 97. How is the noise nature of the channel considered in the text?
A) An unpredictable random variable that changes constantly
B) An inherent fixed property
C) A completely controllable variable
D) A negligible factor in modern systems
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) Hb
B) i
C) p
D) e
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Erases the input bit
B) Duplicates the input bit
C) Delays 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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