Information theory - тест
Information theory
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Seismic exploration
B) Cryptographic use
C) Bioinformatics
D) Gambling
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) Analog processing methods
B) High Shannon entropy
C) Random seeds external to the software
D) Integrated neural clusters
  • 3. How can random seeds for pseudorandom generators be obtained?
A) Via extractors
B) Via digital noise
C) By using semiotic signs
D) Through Shannon entropy
  • 4. What is the measure of sufficient randomness in extractors?
A) Dynamic core hypothesis
B) Free energy
C) Min-entropy
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 minimizing free energy
C) In evaluating randomness in cryptographic systems
D) In seismic oil exploration
  • 7. Does a random variable with high Shannon entropy guarantee it is satisfactory for use in an extractor?
A) Yes
B) Only in cryptographic systems
C) No
D) Only for pseudorandom numbers
  • 8. What was one early commercial application of information theory?
A) Search for extraterrestrial intelligence
B) Bioinformatics
C) Seismic oil exploration
D) Black hole analysis
  • 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) 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) Doede Nauta and Winfried Nöth
B) Gerald Edelman and Giulio Tononi
C) Karl J. Friston and Andrey Kolmogorov
D) Umberto Eco and Ferruccio Rossi-Landi
  • 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 study of the internal processes of coding, filtering, and information processing
D) The measurement of sufficient randomness in extractors
  • 13. Which semioticians used concepts like redundancy and code control to explain ideology?
A) C.E. Shannon and R.V.L. Hartley
B) Doede Nauta and Winfried Nöth
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 utilizing cryptographically secure pseudorandom seeds
B) By using signs that exhibit a high degree of redundancy
C) Through digital signal processing of seismic signals
D) By applying the free energy principle
  • 15. Where have quantitative information theoretic methods been applied in cognitive science?
A) To study black holes and bioinformatics
B) To analyze the integrated process organization of neural information
C) To extract random numbers for cryptography
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 paradox of extraterrestrial intelligence
C) The problem of algorithmic complexity
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) R.V.L. Hartley and C.E. Shannon
B) Umberto Eco and Ferruccio Rossi-Landi
C) Doede Nauta and Winfried Nöth
D) Gerald Edelman and Giulio Tononi
  • 18. What is Giulio Tononi's integrated information theory (IIT) of consciousness based on?
A) Effective information
B) Shannon entropy
C) Seismic signal processing
D) Min-entropy
  • 19. What underlies the definition of measures in the context of neural information organization?
A) Analog methods of data transmission
B) External cryptographic random seeds
C) A high degree of redundancy in signs
D) A reentrant process organization
  • 20. What does a reentrant process organization refer to?
A) The synchronization of neurophysiological activity between groups of neuronal populations
B) The filtering of unwanted noise from desired seismic signals
C) The generation of pseudorandom numbers using extractors
D) The coding and filtering processes studied in semiotics
  • 21. Whose free energy principle (FEP) states that every adaptive change leads to a minimization of free energy?
A) Charles Sanders Peirce
B) Giulio Tononi
C) Gerald Edelman
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 integrated information theory
D) The dynamic core hypothesis
  • 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) Tectonic plates
B) Seismic waves
C) Neural clusters
D) Black holes
  • 26. What life-science field is mentioned as having applications in information theory?
A) Bioinformatics
B) Biochemistry
C) Biophysics
D) Biomechanics
  • 27. What recreational activity is listed as an application of information theory?
A) Cipher creation
B) Gambling
C) Crosswords
D) Chess
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) Doede Nauta
B) Umberto Eco
C) R.V.L. Hartley
D) Gerald Edelman
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) Giulio Tononi
B) C.E. Shannon
C) Winfried Nöth
D) Ferruccio Rossi-Landi
  • 30. Who is listed in the history section alongside R.V.L. Hartley and C.E. Shannon?
A) Winfried Nöth
B) Andrey Kolmogorov
C) Charles Sanders Peirce
D) Karl J. Friston
  • 31. What is the historical figure H.P. Yockey associated with in the text?
A) Integrated information theory
B) History of information theory
C) Dynamic core hypothesis
D) Free energy principle
  • 32. What do physiological systems use information theory to exchange, process, and integrate as?
A) A brute force attack
B) A block cipher
C) A single organ
D) A network
  • 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) Why brute force attacks succeed
D) How it occurs
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) Cryptographic interactions
B) Cardio-respiratory 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) Underground bunker environments
D) Simulated virtual 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 Enigma project
B) The Ultra project
C) The Venona project
D) The Unicity project
  • 39. What German machine code was broken during World War II with the help of the ban?
A) Lorenz cipher code
B) Symmetric key code
C) One-time pad code
D) Enigma machine code
  • 40. What does information theory lead us to believe about keeping secrets?
A) It is extremely easy using symmetric keys
B) It requires no computational effort
C) It is much more difficult than it might first appear
D) It is completely impossible under any circumstances
  • 41. What kind of attack can break systems based on asymmetric or symmetric key algorithms?
A) A conditional mutual attack
B) An information-theoretic attack
C) A network physiology attack
D) A brute force attack
  • 42. What are symmetric key algorithms sometimes called?
A) Unicity distance algorithms
B) One-time pads
C) Asymmetric algorithms
D) Secret key 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) 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 Network Physiology project
B) The Enigma project
C) The Venona project
D) The Ultra project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Lossy data compression
B) Lossless data compression
C) Channel coding
D) Rate-distortion theory
  • 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) Distortion functions
B) Bits
C) Entropy
D) Bytes
  • 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 broadcast channel
B) The wiretap channel
C) The relay channel
D) The multiple-access channel
  • 51. What type of channel involves intermediary helpers?
A) The wiretap channel
B) The relay channel
C) The broadcast channel
D) The multiple-access channel
  • 52. What should joint entropy not be confused with despite similar notation?
A) Mutual information
B) Conditional entropy
C) Kullback-Leibler divergence
D) Cross-entropy
  • 53. What type of space does the vector give values in for joint entropy?
A) Euclidean space
B) Product space
C) Vector space
D) Metric 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 geometric mean
B) The weighted average
C) The median
D) The maximum value
  • 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) 1 shannon
B) No information
C) 1000 shannons
D) 2000 bits
  • 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) 1950s
B) 1940s
C) 1930s
D) 1920s
  • 59. In what context was information theory initially formed?
A) Artificial intelligence
B) Quantum computing
C) Molecular biology
D) Telecommunication
  • 60. What is the entropy of a coin flip when you already know the outcome after it has landed?
A) 1 bit
B) 2 bits
C) 0.5 bits
D) Zero
  • 61. What is an example of source coding or data compression mentioned in the text?
A) ZIP files
B) Compact discs
C) DSL
D) Voyager missions
  • 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) Apollo missions
B) Voyager missions
C) Hubble telescope
D) Curiosity rover
  • 64. Which invention's success was crucially impacted by information theory?
A) Steam engine
B) Television
C) Radio
D) Compact disc
  • 65. What technology's feasibility was made possible by information theory?
A) Mobile phones
B) Airplanes
C) Automobiles
D) Electric guitars
  • 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) Cloud computing
B) Optical computing
C) Distributed computing
D) Quantum computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Art creation
B) Architectural drafting
C) Oil painting restoration
D) Sculpture casting
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Musical instrument design
B) Vocal cord anatomy
C) Acoustic room resonance
D) Music
  • 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) 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) 1940
B) 1928
C) 1948
D) 1939
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) James Gleick
B) Vannevar Bush
C) Alan Turing
D) Ludwig Boltzmann
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Claude Shannon
B) Harry Nyquist
C) Alan Turing
D) Ralph Hartley
  • 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 decimal digit
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) Alan Turing
B) Claude Shannon
C) Ralph Hartley
D) Harry Nyquist
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) James Gleick
B) Rolf Landauer
C) Vannevar Bush
D) Harry Nyquist
  • 79. What logarithmic base is the bit or shannon based on?
A) Binary logarithm
B) Natural logarithm
C) Decimal logarithm
D) Common logarithm
  • 80. What logarithmic base is the nat based on?
A) Common logarithm
B) Natural 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 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-10
B) Base-e
C) Base-2
D) Base-256
  • 84. What type of trial has two outcomes for the binary entropy function?
A) A Markov trial
B) A Bernoulli trial
C) An equiprobable trial
D) A logarithmic trial
  • 85. What is another name for conditional entropy?
A) Equivocation
B) Marginal entropy
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) Log-likelihood ratio
D) Kullback-Leibler divergence
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Quantum mechanics
B) Communication
C) Thermodynamics
D) Macroeconomics
  • 88. Mutual information can be expressed as the average of which divergence?
A) Jensen-Shannon divergence
B) Euclidean distance
C) Mahalanobis distance
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) Shapiro-Wilk test
D) Student's t-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) Bob
B) Both
C) Neither
D) Alice
  • 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) Bob
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) A discrete set
B) An infinite continuous set
C) A finite geometric set
D) An empty set
  • 94. Does directed information apply to statistical physics?
A) Only in quantum states
B) No
C) Only in macroscopic mechanics
D) Yes
  • 95. What does the random process Xn consist of?
A) {X1, X2, ..., X_n}
B) {Y1, Y2, ..., Y_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) An undefined value
B) The same result
C) Completely different results
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) A completely controllable variable
C) An inherent fixed property
D) An unpredictable random variable that changes constantly
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) e
B) Hb
C) p
D) i
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Erases the input bit
B) Delays the input bit
C) Flips the input bit
D) Duplicates the input bit
  • 100. What feature do many channels have in practice?
A) Zero capacity
B) Memory
C) Ternary input
D) Gaussian noise
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