Information theory - Galdetegia
Information theory
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Seismic exploration
B) Bioinformatics
C) Cryptographic use
D) Gambling
  • 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) By using semiotic signs
B) Via extractors
C) Through Shannon entropy
D) Via digital noise
  • 4. What is the measure of sufficient randomness in extractors?
A) Dynamic core hypothesis
B) Effective information
C) Min-entropy
D) Free energy
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Rényi entropy
B) Conditional entropy
C) Algorithmic entropy
D) Thermal entropy
  • 6. Where is Rényi entropy also used?
A) In seismic oil exploration
B) In minimizing free energy
C) In semiotic code control
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) Yes
B) Only for pseudorandom numbers
C) Only in cryptographic systems
D) No
  • 8. What was one early commercial application of information theory?
A) Black hole analysis
B) Search for extraterrestrial intelligence
C) Bioinformatics
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) Generate secure pseudorandom numbers
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) Extractors and Rényi entropy
B) Information theory and digital signal processing
C) Cryptographically secure pseudorandom number generators
D) Free energy principles
  • 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 minimization of free energy in a self-organized system
B) The measurement of sufficient randomness in extractors
C) The separation of unwanted noise from seismic signals
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 using signs that exhibit a high degree of redundancy
B) By applying the free energy principle
C) By utilizing cryptographically secure pseudorandom seeds
D) Through digital signal processing of seismic signals
  • 15. Where have quantitative information theoretic methods been applied in cognitive science?
A) To explore seismic oil deposits
B) To analyze the integrated process organization of neural information
C) To study black holes and bioinformatics
D) To extract random numbers for cryptography
  • 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 paradox of extraterrestrial intelligence
D) The binding problem in cognitive neuroscience
  • 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) Shannon entropy
B) Effective information
C) Min-entropy
D) Seismic signal processing
  • 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) 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 generation of pseudorandom numbers using extractors
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) Gerald Edelman
B) Giulio Tononi
C) Charles Sanders Peirce
D) Karl J. Friston
  • 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 dynamic core hypothesis
C) The Bayesian brain hypothesis
D) The semiotic information theory
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Astrology
B) Search for extraterrestrial intelligence
C) Phrenology
D) Alchemy
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Seismic waves
B) Black holes
C) Tectonic plates
D) Neural clusters
  • 26. What life-science field is mentioned as having applications in information theory?
A) Biomechanics
B) Biophysics
C) Biochemistry
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) Umberto Eco
B) Gerald Edelman
C) Doede Nauta
D) R.V.L. Hartley
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) Giulio Tononi
B) Ferruccio Rossi-Landi
C) Winfried Nöth
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) Charles Sanders Peirce
C) Karl J. Friston
D) Andrey Kolmogorov
  • 31. What is the historical figure H.P. Yockey associated with in the text?
A) History of information theory
B) Free energy principle
C) Integrated information theory
D) Dynamic core hypothesis
  • 32. What do physiological systems use information theory to exchange, process, and integrate as?
A) A network
B) A brute force attack
C) A block cipher
D) A single organ
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Symmetric keys
B) Unicity distances
C) Distinct physiological states
D) Information theory units
  • 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 encryption keys are generated
D) How it occurs
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) Enigma machine interactions
B) Cryptographic interactions
C) Cardio-respiratory interactions
D) One-time pad interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Cryogenic laboratory environments
B) Simulated virtual environments
C) Underground bunker environments
D) Extreme environments
  • 37. What was the name of Turing's information unit used in the Ultra project?
A) The ban
B) The bit
C) The shannon
D) The byte
  • 38. In which project was Turing's information unit used?
A) The Ultra project
B) The Unicity 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) 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 extremely easy using symmetric keys
C) It is much more difficult than it might first appear
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) Unicity distance algorithms
B) Asymmetric algorithms
C) Secret key algorithms
D) One-time pads
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) Block ciphers
B) Bans
C) One-time pads
D) Transfer entropy
  • 44. What must be used correctly even when applying information-theoretically secure methods?
A) Block ciphers
B) Transfer entropy
C) Brute force
D) Care
  • 45. Which project was able to crack the one-time pads of the Soviet Union?
A) The Venona project
B) The Enigma project
C) The Ultra 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) Source-channel separation theorems
B) Channel resolvability
C) Pragmatic information
D) Rate-distortion theory
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Bits
B) Distortion functions
C) Entropy
D) Bytes
  • 49. What type of channel involves more than one transmitter?
A) The multiple-access channel
B) The relay channel
C) The broadcast channel
D) The wiretap channel
  • 50. What type of channel involves more than one receiver?
A) The multiple-access channel
B) The relay channel
C) The wiretap channel
D) The broadcast 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) Kullback-Leibler divergence
B) Cross-entropy
C) Mutual information
D) Conditional entropy
  • 53. What type of space does the vector give values in for joint entropy?
A) Metric space
B) Product space
C) Vector space
D) Euclidean space
  • 54. What is the formula for self-information I(pi)?
A) 1 / pi
B) -log2(pi)
C) log2(pi)
D) -ln(pi)
  • 55. What is the entropy H relative to the surprisal of all possible symbols?
A) The weighted average
B) The maximum value
C) The median
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) 2000 bits
B) No information
C) 1 shannon
D) 1000 shannons
  • 57. In what year was Claude Shannon's paper 'A Mathematical Theory of Communication' published?
A) 1960
B) 1948
C) 1939
D) 1952
  • 58. In what decade was information theory established and formalized?
A) 1940s
B) 1950s
C) 1930s
D) 1920s
  • 59. In what context was information theory initially formed?
A) Telecommunication
B) Quantum computing
C) Artificial intelligence
D) Molecular biology
  • 60. What is the entropy of a coin flip when you already know the outcome after it has landed?
A) 0.5 bits
B) 2 bits
C) 1 bit
D) Zero
  • 61. What is an example of source coding or data compression mentioned in the text?
A) ZIP files
B) Voyager missions
C) DSL
D) Compact discs
  • 62. What is an example of channel coding mentioned in the text?
A) DSL
B) ZIP files
C) Artificial intelligence
D) Mobile phones
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Hubble telescope
B) Voyager missions
C) Curiosity rover
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) Mobile phones
B) Automobiles
C) Airplanes
D) Electric guitars
  • 66. What modern developments were impacted by information theory alongside artificial intelligence?
A) The printing press
B) The Internet
C) The telegraph network
D) The postal service
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Distributed computing
B) Cloud computing
C) Optical computing
D) Quantum computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Sculpture casting
B) Art creation
C) Architectural drafting
D) Oil painting restoration
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Vocal cord anatomy
B) Music
C) Acoustic room resonance
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) Epistemology
D) Metaphysics
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) James Gleick
B) Ralph Hartley
C) Vannevar Bush
D) Harry Nyquist
  • 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) 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) Alan Turing
C) Claude Shannon
D) Ralph Hartley
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) H = log Sn
B) W = K log m
C) PV = nRT
D) E = mc2
  • 76. What unit of information was sometimes called the hartley in honor of Ralph Hartley?
A) The decimal digit
B) The byte
C) The baud
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) Harry Nyquist
D) Alan Turing
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) Vannevar Bush
B) Rolf Landauer
C) Harry Nyquist
D) James Gleick
  • 79. What logarithmic base is the bit or shannon based on?
A) Common logarithm
B) Natural logarithm
C) Decimal logarithm
D) Binary logarithm
  • 80. What logarithmic base is the nat based on?
A) Common logarithm
B) Binary logarithm
C) Base-two logarithm
D) Natural logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Natural logarithm
B) Base-e logarithm
C) Common logarithm
D) Binary logarithm
  • 82. What does the maximum value of entropy represent?
A) The most predictable state
B) The lowest possible information content
C) A deterministic sequence
D) The most unpredictable state
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-256
B) Base-e
C) Base-10
D) Base-2
  • 84. What type of trial has two outcomes for the binary entropy function?
A) A Markov trial
B) A Bernoulli trial
C) A logarithmic trial
D) An equiprobable trial
  • 85. What is another name for conditional entropy?
A) Mutual information
B) Equivocation
C) Marginal entropy
D) Joint entropy
  • 86. What is another name for mutual information according to the text?
A) Kullback-Leibler divergence
B) Log-likelihood ratio
C) Transinformation
D) Pointwise mutual information
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Communication
B) Macroeconomics
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) Mann-Whitney U test
B) Log-likelihood ratio test
C) Student's t-test
D) Shapiro-Wilk test
  • 90. What type of mathematical function is the KL divergence classified as?
A) Semi-quasimetric
B) Euclidean metric
C) Linear transformation
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) Both will be equally surprised
B) It is impossible to determine
C) Bob
D) Alice
  • 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) An infinite continuous set
C) An empty set
D) A discrete 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) {X0, X1, ..., X_{n-1}}
B) {Y1, Y2, ..., Y_n}
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) An undefined value
B) Completely different results
C) A result of zero
D) The same result
  • 97. How is the noise nature of the channel considered in the text?
A) An inherent fixed property
B) A completely controllable variable
C) An unpredictable random variable that changes constantly
D) A negligible factor in modern systems
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) e
B) Hb
C) i
D) p
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Flips the input bit
B) Erases the input bit
C) Duplicates the input bit
D) Delays the input bit
  • 100. What feature do many channels have in practice?
A) Memory
B) Gaussian noise
C) Ternary input
D) Zero capacity
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