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Information theory - тест
Поширений: Haynes
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Bioinformatics
B) Cryptographic use
C) Seismic exploration
D) Gambling
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) Analog processing methods
B) High Shannon entropy
C) Integrated neural clusters
D) Random seeds external to the software
  • 3. How can random seeds for pseudorandom generators be obtained?
A) Through Shannon entropy
B) Via extractors
C) By using semiotic signs
D) Via digital noise
  • 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) Conditional entropy
B) Algorithmic entropy
C) Rényi entropy
D) Thermal entropy
  • 6. Where is Rényi entropy also used?
A) In semiotic code control
B) In evaluating randomness in cryptographic systems
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) No
C) Only for pseudorandom numbers
D) Yes
  • 8. What was one early commercial application of information theory?
A) Search for extraterrestrial intelligence
B) Seismic oil exploration
C) Bioinformatics
D) Black hole analysis
  • 9. What did information theory make it possible to do in seismic exploration?
A) Decode dominant social messages
B) Minimize free energy in the brain
C) Generate secure pseudorandom numbers
D) Strip off and separate unwanted noise from the desired seismic signal
  • 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) Free energy principles
C) Extractors and Rényi entropy
D) Cryptographically secure pseudorandom number generators
  • 11. Which semioticians considered Charles Sanders Peirce as having created a theory of information?
A) Gerald Edelman and Giulio Tononi
B) Umberto Eco and Ferruccio Rossi-Landi
C) Doede Nauta and Winfried Nöth
D) Karl J. Friston and Andrey Kolmogorov
  • 12. How did Doede Nauta define semiotic information theory?
A) The study of the internal processes of coding, filtering, and information processing
B) The separation of unwanted noise from seismic signals
C) The measurement of sufficient randomness in extractors
D) The minimization of free energy in a self-organized system
  • 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) Through digital signal processing of seismic signals
B) By applying the free energy principle
C) By using signs that exhibit a high degree of redundancy
D) By utilizing cryptographically secure pseudorandom seeds
  • 15. Where have quantitative information theoretic methods been applied in cognitive science?
A) To study black holes and bioinformatics
B) To extract random numbers for cryptography
C) To explore seismic oil deposits
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 problem of algorithmic complexity
B) The binding problem in cognitive neuroscience
C) The paradox of extraterrestrial intelligence
D) The issue of seismic noise filtering
  • 17. Whose functional clustering model and dynamic core hypothesis define an information-theoretical measure in neural processing?
A) Doede Nauta and Winfried Nöth
B) Umberto Eco and Ferruccio Rossi-Landi
C) R.V.L. Hartley and C.E. Shannon
D) Gerald Edelman and Giulio Tononi
  • 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) A reentrant process organization
B) External cryptographic random seeds
C) Analog methods of data transmission
D) A high degree of redundancy in signs
  • 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 coding and filtering processes studied in semiotics
D) The generation of pseudorandom numbers using extractors
  • 21. Whose free energy principle (FEP) states that every adaptive change leads to a minimization of free energy?
A) Charles Sanders Peirce
B) Karl J. Friston
C) Giulio Tononi
D) Gerald Edelman
  • 22. What type of system does the free energy principle apply to?
A) A self-organized system
B) A dominant social class
C) A cryptographic random number generator
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 dynamic core hypothesis
B) The Bayesian brain hypothesis
C) The integrated information theory
D) The semiotic information theory
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Phrenology
B) Astrology
C) Search for extraterrestrial intelligence
D) Alchemy
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Neural clusters
B) Black holes
C) Tectonic plates
D) Seismic waves
  • 26. What life-science field is mentioned as having applications in information theory?
A) Bioinformatics
B) Biomechanics
C) Biophysics
D) Biochemistry
  • 27. What recreational activity is listed as an application of information theory?
A) Crosswords
B) Chess
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) Doede Nauta
C) Umberto Eco
D) Gerald Edelman
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) Winfried Nöth
B) Ferruccio Rossi-Landi
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) 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) Integrated information theory
C) Free energy principle
D) Dynamic core hypothesis
  • 32. What do physiological systems use information theory to exchange, process, and integrate as?
A) A network
B) A single organ
C) A block cipher
D) A brute force attack
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Symmetric keys
B) Distinct physiological states
C) Unicity distances
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) One-time pad interactions
D) Cardio-respiratory interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Simulated virtual environments
B) Extreme environments
C) Cryogenic laboratory 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 ban
C) The bit
D) The shannon
  • 38. In which project was Turing's information unit used?
A) The Unicity project
B) The Enigma project
C) The Venona project
D) The Ultra 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) Symmetric key code
D) One-time pad code
  • 40. What does information theory lead us to believe about keeping secrets?
A) It requires no computational effort
B) It is much more difficult than it might first appear
C) It is completely impossible under any circumstances
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) A brute force attack
C) An information-theoretic attack
D) A conditional mutual attack
  • 42. What are symmetric key algorithms sometimes called?
A) Asymmetric algorithms
B) One-time pads
C) Secret key algorithms
D) Unicity distance algorithms
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) Block ciphers
B) Transfer entropy
C) One-time pads
D) Bans
  • 44. What must be used correctly even when applying information-theoretically secure methods?
A) Care
B) Transfer entropy
C) Block ciphers
D) Brute force
  • 45. Which project was able to crack the one-time pads of the Soviet Union?
A) The Enigma project
B) The Venona project
C) The Ultra project
D) The Network Physiology project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Lossy data compression
B) Rate-distortion theory
C) Channel coding
D) Lossless data compression
  • 47. What justifies the division of coding theory into compression and transmission?
A) Rate-distortion theory
B) Channel resolvability
C) Pragmatic information
D) Source-channel separation theorems
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Bits
B) Entropy
C) Bytes
D) Distortion functions
  • 49. What type of channel involves more than one transmitter?
A) The relay channel
B) The multiple-access channel
C) The broadcast channel
D) The wiretap channel
  • 50. What type of channel involves more than one receiver?
A) The wiretap channel
B) The multiple-access channel
C) The broadcast channel
D) The relay channel
  • 51. What type of channel involves intermediary helpers?
A) The multiple-access channel
B) The broadcast 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) Cross-entropy
C) Mutual information
D) Kullback-Leibler divergence
  • 53. What type of space does the vector give values in for joint entropy?
A) Product space
B) Euclidean 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 median
B) The geometric mean
C) The maximum value
D) The weighted average
  • 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) 1000 shannons
C) No information
D) 1 shannon
  • 57. In what year was Claude Shannon's paper 'A Mathematical Theory of Communication' published?
A) 1952
B) 1948
C) 1939
D) 1960
  • 58. In what decade was information theory established and formalized?
A) 1950s
B) 1940s
C) 1920s
D) 1930s
  • 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) 0.5 bits
B) 1 bit
C) 2 bits
D) Zero
  • 61. What is an example of source coding or data compression mentioned in the text?
A) DSL
B) ZIP files
C) Compact discs
D) Voyager missions
  • 62. What is an example of channel coding mentioned in the text?
A) Artificial intelligence
B) Mobile phones
C) DSL
D) ZIP files
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Voyager missions
B) Apollo missions
C) Curiosity rover
D) Hubble telescope
  • 64. Which invention's success was crucially impacted by information theory?
A) Compact disc
B) Radio
C) Steam engine
D) Television
  • 65. What technology's feasibility was made possible by information theory?
A) Electric guitars
B) Mobile phones
C) Airplanes
D) Automobiles
  • 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) Quantum computing
D) Optical computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Art creation
B) Sculpture casting
C) Architectural drafting
D) Oil painting restoration
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Music
B) Acoustic room resonance
C) Vocal cord anatomy
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) Metaphysics
C) Epistemology
D) Ethics
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) Ralph Hartley
B) Vannevar Bush
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) 1948
B) 1928
C) 1939
D) 1940
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) Vannevar Bush
B) James Gleick
C) Alan Turing
D) Ludwig Boltzmann
  • 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) H = log Sn
B) E = mc2
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 baud
B) The byte
C) The decimal digit
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) 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) Harry Nyquist
C) Vannevar Bush
D) Rolf Landauer
  • 79. What logarithmic base is the bit or shannon based on?
A) Natural logarithm
B) Decimal logarithm
C) Common logarithm
D) Binary logarithm
  • 80. What logarithmic base is the nat based on?
A) Natural logarithm
B) Base-two logarithm
C) Common logarithm
D) Binary logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Common logarithm
B) Base-e logarithm
C) Natural logarithm
D) Binary logarithm
  • 82. What does the maximum value of entropy represent?
A) A deterministic sequence
B) The most unpredictable state
C) The most predictable state
D) The lowest possible information content
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-e
B) Base-256
C) Base-10
D) Base-2
  • 84. What type of trial has two outcomes for the binary entropy function?
A) A Bernoulli trial
B) A logarithmic trial
C) A Markov trial
D) An equiprobable trial
  • 85. What is another name for conditional entropy?
A) Mutual information
B) Marginal entropy
C) Joint entropy
D) Equivocation
  • 86. What is another name for mutual information according to the text?
A) Log-likelihood ratio
B) Transinformation
C) Kullback-Leibler divergence
D) Pointwise mutual information
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Macroeconomics
B) Thermodynamics
C) Communication
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) Student's t-test
B) Shapiro-Wilk test
C) Log-likelihood ratio test
D) Mann-Whitney U test
  • 90. What type of mathematical function is the KL divergence classified as?
A) Linear transformation
B) Inner product
C) Euclidean metric
D) Semi-quasimetric
  • 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) 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) An infinite continuous set
B) An empty set
C) A finite geometric set
D) A discrete 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) {X1, X2, ..., X_n}
C) {X0, X1, ..., X_{n-1}}
D) {Y1, Y2, ..., Y_n}
  • 96. What do the two expressions for the rate give for stationary sources?
A) An undefined value
B) The same result
C) A result of zero
D) Completely different results
  • 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 negligible factor in modern systems
D) A completely controllable variable
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) p
B) Hb
C) i
D) e
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Duplicates the input bit
B) Flips the input bit
C) Erases the input bit
D) Delays 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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