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Information theory - Test
Opracowany przez: Haynes
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Bioinformatics
B) Seismic exploration
C) Gambling
D) Cryptographic use
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) Random seeds external to the software
B) High Shannon entropy
C) Analog processing methods
D) Integrated neural clusters
  • 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) Free energy
B) Dynamic core hypothesis
C) Min-entropy
D) Effective information
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Rényi entropy
B) Thermal entropy
C) Algorithmic entropy
D) Conditional 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) Yes
B) No
C) Only for pseudorandom numbers
D) Only in cryptographic systems
  • 8. What was one early commercial application of information theory?
A) Bioinformatics
B) Black hole analysis
C) Seismic oil exploration
D) Search for extraterrestrial intelligence
  • 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) Free energy principles
B) Extractors and Rényi entropy
C) Cryptographically secure pseudorandom number generators
D) Information theory and digital signal processing
  • 11. Which semioticians considered Charles Sanders Peirce as having created a theory of information?
A) Umberto Eco and Ferruccio Rossi-Landi
B) Karl J. Friston and Andrey Kolmogorov
C) Gerald Edelman and Giulio Tononi
D) Doede Nauta and Winfried Nöth
  • 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) 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 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 analyze the integrated process organization of neural information
B) To extract random numbers for cryptography
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 binding problem in cognitive neuroscience
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) 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) Effective information
B) Seismic signal processing
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) A reentrant process organization
C) External cryptographic random seeds
D) A high degree of redundancy in signs
  • 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) Karl J. Friston
C) Charles Sanders Peirce
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) A self-organized system
D) An analog seismic receiver
  • 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) Astrology
B) Search for extraterrestrial intelligence
C) Alchemy
D) Phrenology
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Black holes
B) Neural clusters
C) Tectonic plates
D) Seismic waves
  • 26. What life-science field is mentioned as having applications in information theory?
A) Biomechanics
B) Biochemistry
C) Bioinformatics
D) Biophysics
  • 27. What recreational activity is listed as an application of information theory?
A) Cipher creation
B) Chess
C) Crosswords
D) Gambling
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) Umberto Eco
B) Doede Nauta
C) Gerald Edelman
D) R.V.L. Hartley
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) Ferruccio Rossi-Landi
B) C.E. Shannon
C) Winfried Nöth
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) Winfried Nöth
D) Karl J. Friston
  • 31. What is the historical figure H.P. Yockey associated with in the text?
A) Dynamic core hypothesis
B) Free energy principle
C) History of information theory
D) Integrated information theory
  • 32. What do physiological systems use information theory to exchange, process, and integrate as?
A) A single organ
B) A brute force attack
C) A network
D) A block cipher
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Information theory units
B) Distinct physiological states
C) Symmetric keys
D) Unicity distances
  • 34. What does network cross-communication and regulation reveal within the organism?
A) How encryption keys are generated
B) Why it ceases permanently
C) How it occurs
D) Why brute force attacks succeed
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) Cardio-respiratory interactions
B) Cryptographic interactions
C) Enigma machine interactions
D) One-time pad interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Extreme environments
B) Cryogenic laboratory environments
C) Simulated virtual environments
D) Underground bunker environments
  • 37. What was the name of Turing's information unit used in the Ultra project?
A) The shannon
B) The ban
C) The bit
D) The byte
  • 38. In which project was Turing's information unit used?
A) The Venona project
B) The Unicity project
C) The Ultra project
D) The Enigma project
  • 39. What German machine code was broken during World War II with the help of the ban?
A) Symmetric key code
B) Lorenz cipher code
C) Enigma machine code
D) One-time pad 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 network physiology attack
B) An information-theoretic attack
C) A conditional mutual attack
D) A brute force attack
  • 42. What are symmetric key algorithms sometimes called?
A) Secret key algorithms
B) Unicity distance algorithms
C) One-time pads
D) Asymmetric algorithms
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) Transfer entropy
B) Bans
C) One-time pads
D) Block ciphers
  • 44. What must be used correctly even when applying information-theoretically secure methods?
A) Brute force
B) Transfer entropy
C) Care
D) Block ciphers
  • 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 Venona project
D) The Enigma project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Rate-distortion theory
B) Lossless data compression
C) Channel coding
D) Lossy data compression
  • 47. What justifies the division of coding theory into compression and transmission?
A) Source-channel separation theorems
B) Pragmatic information
C) Rate-distortion theory
D) Channel resolvability
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Bytes
B) Distortion functions
C) Entropy
D) Bits
  • 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 wiretap channel
C) The broadcast channel
D) The relay channel
  • 51. What type of channel involves intermediary helpers?
A) The broadcast channel
B) The multiple-access channel
C) The wiretap channel
D) The relay channel
  • 52. What should joint entropy not be confused with despite similar notation?
A) Conditional entropy
B) Kullback-Leibler divergence
C) Cross-entropy
D) Mutual information
  • 53. What type of space does the vector give values in for joint entropy?
A) Vector space
B) Product space
C) Euclidean space
D) Metric 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 geometric mean
B) The maximum value
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) 2000 bits
C) No information
D) 1 shannon
  • 57. In what year was Claude Shannon's paper 'A Mathematical Theory of Communication' published?
A) 1948
B) 1939
C) 1952
D) 1960
  • 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) Molecular biology
B) Quantum computing
C) Telecommunication
D) Artificial intelligence
  • 60. What is the entropy of a coin flip when you already know the outcome after it has landed?
A) 0.5 bits
B) Zero
C) 1 bit
D) 2 bits
  • 61. What is an example of source coding or data compression mentioned in the text?
A) Voyager missions
B) ZIP files
C) Compact discs
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) Compact disc
C) Steam engine
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 postal service
B) The telegraph network
C) The Internet
D) The printing press
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Distributed computing
B) Optical computing
C) Quantum computing
D) Cloud 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) Musical instrument design
B) Music
C) Vocal cord anatomy
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) Aesthetics
C) Epistemology
D) Metaphysics
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) Vannevar Bush
B) Ralph Hartley
C) James Gleick
D) Harry Nyquist
  • 72. In what year did Shannon outline some of his initial ideas in a letter to Vannevar Bush?
A) 1939
B) 1940
C) 1928
D) 1948
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) Alan Turing
B) Vannevar Bush
C) Ludwig Boltzmann
D) James Gleick
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Claude Shannon
B) Alan Turing
C) Ralph Hartley
D) Harry Nyquist
  • 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 byte
B) The bit
C) The decimal digit
D) The baud
  • 77. Who used similar ideas in 1940 as part of the statistical analysis of breaking German Enigma ciphers?
A) Harry Nyquist
B) Ralph Hartley
C) Alan Turing
D) Claude Shannon
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) James Gleick
B) Harry Nyquist
C) Vannevar Bush
D) Rolf Landauer
  • 79. What logarithmic base is the bit or shannon based on?
A) Decimal logarithm
B) Common logarithm
C) Natural 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) Binary logarithm
C) Common logarithm
D) Base-e logarithm
  • 82. What does the maximum value of entropy represent?
A) The most unpredictable state
B) The most predictable state
C) A deterministic sequence
D) The lowest possible information content
  • 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) A Bernoulli trial
B) A Markov trial
C) A logarithmic trial
D) An equiprobable 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) Kullback-Leibler divergence
B) Log-likelihood ratio
C) Pointwise mutual information
D) Transinformation
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Communication
B) Macroeconomics
C) Thermodynamics
D) Quantum mechanics
  • 88. Mutual information can be expressed as the average of which divergence?
A) Euclidean distance
B) Kullback-Leibler divergence
C) Jensen-Shannon divergence
D) Mahalanobis distance
  • 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) Inner product
C) Linear transformation
D) Euclidean metric
  • 91. In the alternative interpretation involving Alice and Bob, who knows the true probability distribution p(x)?
A) Both
B) Bob
C) Alice
D) Neither
  • 92. According to the surprise interpretation, who will be more surprised on average upon seeing the value of X?
A) Bob
B) Alice
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 finite geometric set
C) An empty set
D) A discrete set
  • 94. Does directed information apply to statistical physics?
A) Only in quantum states
B) Yes
C) No
D) Only in macroscopic mechanics
  • 95. What does the random process Xn consist of?
A) {X1, Y1, ..., X_n, Y_n}
B) {Y1, Y2, ..., Y_n}
C) {X0, X1, ..., X_{n-1}}
D) {X1, X2, ..., X_n}
  • 96. What do the two expressions for the rate give for stationary sources?
A) The same result
B) An undefined value
C) Completely different results
D) A result of zero
  • 97. How is the noise nature of the channel considered in the text?
A) An inherent fixed property
B) A completely controllable variable
C) A negligible factor in modern systems
D) An unpredictable random variable that changes constantly
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) e
B) i
C) Hb
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) Delays the input bit
D) Duplicates the input bit
  • 100. What feature do many channels have in practice?
A) Memory
B) Zero capacity
C) Gaussian noise
D) Ternary input
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