Information theory - εξέταση
Information theory
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Cryptographic use
B) Bioinformatics
C) Seismic exploration
D) Gambling
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) High Shannon entropy
B) Analog processing methods
C) Random seeds external to the software
D) Integrated neural clusters
  • 3. How can random seeds for pseudorandom generators be obtained?
A) Via digital noise
B) By using semiotic signs
C) Through Shannon entropy
D) Via extractors
  • 4. What is the measure of sufficient randomness in extractors?
A) Min-entropy
B) Free energy
C) Dynamic core hypothesis
D) Effective information
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Conditional entropy
B) Thermal entropy
C) Rényi entropy
D) Algorithmic entropy
  • 6. Where is Rényi entropy also used?
A) In semiotic code control
B) In seismic oil exploration
C) In evaluating randomness in cryptographic systems
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) No
C) Yes
D) Only for pseudorandom numbers
  • 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) Minimize free energy in the brain
B) Strip off and separate unwanted noise from the desired seismic signal
C) Decode dominant social messages
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) Information theory and digital signal processing
B) Cryptographically secure pseudorandom number generators
C) Free energy principles
D) Extractors and Rényi entropy
  • 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) Doede Nauta and Winfried Nöth
D) Gerald Edelman and Giulio Tononi
  • 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 minimization of free energy in a self-organized system
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) Doede Nauta and Winfried Nöth
B) C.E. Shannon and R.V.L. Hartley
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) 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 explore seismic oil deposits
B) To extract random numbers for cryptography
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 binding problem in cognitive neuroscience
B) The issue of seismic noise filtering
C) The problem of algorithmic complexity
D) The paradox of extraterrestrial intelligence
  • 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) Min-entropy
B) Seismic signal processing
C) Shannon entropy
D) Effective information
  • 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 generation of pseudorandom numbers using extractors
B) The filtering of unwanted noise from desired seismic signals
C) The coding and filtering processes studied in semiotics
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) Charles Sanders Peirce
B) Gerald Edelman
C) Giulio Tononi
D) Karl J. Friston
  • 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 semiotic information theory
B) The Bayesian brain hypothesis
C) The dynamic core hypothesis
D) The integrated information theory
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Astrology
B) Alchemy
C) Search for extraterrestrial intelligence
D) Phrenology
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Neural clusters
B) Tectonic plates
C) Black holes
D) Seismic waves
  • 26. What life-science field is mentioned as having applications in information theory?
A) Bioinformatics
B) Biochemistry
C) Biomechanics
D) Biophysics
  • 27. What recreational activity is listed as an application of information theory?
A) Cipher creation
B) Crosswords
C) Gambling
D) Chess
  • 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) 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) Charles Sanders Peirce
C) Winfried Nöth
D) Andrey Kolmogorov
  • 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 network
B) A block cipher
C) A brute force attack
D) A single organ
  • 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) How encryption keys are generated
B) Why it ceases permanently
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) Cryptographic 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) 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 ban
D) The shannon
  • 38. In which project was Turing's information unit used?
A) The Venona project
B) The Enigma project
C) The Ultra 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) Enigma machine code
C) Symmetric key code
D) Lorenz cipher 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) A brute force attack
B) A network physiology attack
C) A conditional mutual attack
D) An information-theoretic attack
  • 42. What are symmetric key algorithms sometimes called?
A) Asymmetric algorithms
B) Secret key algorithms
C) One-time pads
D) Unicity distance algorithms
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) One-time pads
B) Transfer entropy
C) Bans
D) Block ciphers
  • 44. What must be used correctly even when applying information-theoretically secure methods?
A) Transfer entropy
B) Block ciphers
C) Care
D) Brute force
  • 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) Lossy data compression
B) Channel coding
C) Rate-distortion theory
D) Lossless data compression
  • 47. What justifies the division of coding theory into compression and transmission?
A) Pragmatic information
B) Rate-distortion theory
C) Channel resolvability
D) Source-channel separation theorems
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Entropy
B) Bits
C) Bytes
D) Distortion functions
  • 49. What type of channel involves more than one transmitter?
A) The relay channel
B) The broadcast channel
C) The multiple-access channel
D) The wiretap channel
  • 50. What type of channel involves more than one receiver?
A) The wiretap channel
B) The broadcast channel
C) The multiple-access channel
D) The relay channel
  • 51. What type of channel involves intermediary helpers?
A) The broadcast channel
B) The relay channel
C) The multiple-access channel
D) The wiretap channel
  • 52. What should joint entropy not be confused with despite similar notation?
A) Mutual information
B) Conditional entropy
C) Cross-entropy
D) Kullback-Leibler divergence
  • 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) -log2(pi)
B) 1 / pi
C) -ln(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) 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) 1952
B) 1960
C) 1939
D) 1948
  • 58. In what decade was information theory established and formalized?
A) 1920s
B) 1930s
C) 1940s
D) 1950s
  • 59. In what context was information theory initially formed?
A) Artificial intelligence
B) Molecular biology
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) Zero
B) 1 bit
C) 0.5 bits
D) 2 bits
  • 61. What is an example of source coding or data compression mentioned in the text?
A) DSL
B) ZIP files
C) Voyager missions
D) Compact discs
  • 62. What is an example of channel coding mentioned in the text?
A) ZIP files
B) Artificial intelligence
C) DSL
D) Mobile phones
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Curiosity rover
B) Voyager missions
C) Hubble telescope
D) Apollo missions
  • 64. Which invention's success was crucially impacted by information theory?
A) Steam engine
B) Compact disc
C) Radio
D) Television
  • 65. What technology's feasibility was made possible by information theory?
A) Electric guitars
B) Mobile phones
C) Automobiles
D) Airplanes
  • 66. What modern developments were impacted by information theory alongside artificial intelligence?
A) The printing press
B) The telegraph network
C) The postal service
D) The Internet
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Cloud computing
B) Distributed computing
C) Quantum 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) Art creation
C) Architectural drafting
D) Sculpture casting
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Vocal cord anatomy
B) Music
C) Musical instrument design
D) Acoustic room resonance
  • 70. Which philosophical field is listed at the end of the text as an application area of information theory?
A) Ethics
B) Epistemology
C) Aesthetics
D) Metaphysics
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) Vannevar Bush
B) Harry Nyquist
C) James Gleick
D) Ralph Hartley
  • 72. In what year did Shannon outline some of his initial ideas in a letter to Vannevar Bush?
A) 1928
B) 1939
C) 1940
D) 1948
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) James Gleick
B) Ludwig Boltzmann
C) Vannevar Bush
D) Alan Turing
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Ralph Hartley
B) Alan Turing
C) Harry Nyquist
D) Claude Shannon
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) E = mc2
B) H = log Sn
C) PV = nRT
D) W = K log m
  • 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) Claude Shannon
B) Harry Nyquist
C) Ralph Hartley
D) Alan Turing
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) Harry Nyquist
B) Vannevar Bush
C) Rolf Landauer
D) James Gleick
  • 79. What logarithmic base is the bit or shannon based on?
A) Decimal logarithm
B) Natural logarithm
C) Common logarithm
D) Binary logarithm
  • 80. What logarithmic base is the nat based on?
A) Base-two logarithm
B) Natural logarithm
C) Binary 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) A deterministic sequence
C) The most predictable state
D) The most unpredictable state
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-10
B) Base-256
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) Equivocation
B) Mutual information
C) Marginal entropy
D) Joint entropy
  • 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) Thermodynamics
B) Quantum mechanics
C) Communication
D) Macroeconomics
  • 88. Mutual information can be expressed as the average of which divergence?
A) Kullback-Leibler divergence
B) Euclidean distance
C) Jensen-Shannon divergence
D) Mahalanobis distance
  • 89. With which statistical test is mutual information closely related in the context of contingency tables?
A) Log-likelihood ratio test
B) Mann-Whitney U 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) Inner product
C) Euclidean metric
D) Linear transformation
  • 91. In the alternative interpretation involving Alice and Bob, who knows the true probability distribution p(x)?
A) Bob
B) Alice
C) Neither
D) Both
  • 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) Alice
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) An empty set
C) A discrete set
D) A finite geometric set
  • 94. Does directed information apply to statistical physics?
A) No
B) Only in macroscopic mechanics
C) Only in quantum states
D) Yes
  • 95. What does the random process Xn consist of?
A) {Y1, Y2, ..., Y_n}
B) {X0, X1, ..., X_{n-1}}
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) A result of zero
C) The same result
D) Completely different results
  • 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) Hb
B) e
C) i
D) p
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Duplicates the input bit
B) Erases 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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