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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) Integrated neural clusters
B) Analog processing methods
C) High Shannon entropy
D) Random seeds external to the software
  • 3. How can random seeds for pseudorandom generators be obtained?
A) Via digital noise
B) Through Shannon entropy
C) By using semiotic signs
D) Via extractors
  • 4. What is the measure of sufficient randomness in extractors?
A) Dynamic core hypothesis
B) Min-entropy
C) Effective information
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 evaluating randomness in cryptographic systems
B) In seismic oil exploration
C) In minimizing free energy
D) In semiotic code control
  • 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) Bioinformatics
B) Black hole analysis
C) Search for extraterrestrial intelligence
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) Decode dominant social messages
C) Generate secure pseudorandom numbers
D) Minimize free energy in the brain
  • 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) Extractors and Rényi entropy
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) Umberto Eco and Ferruccio Rossi-Landi
B) Gerald Edelman and Giulio Tononi
C) Doede Nauta and Winfried Nöth
D) Karl J. Friston and Andrey Kolmogorov
  • 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 measurement of sufficient randomness in extractors
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) Gerald Edelman and Karl J. Friston
B) Umberto Eco and Ferruccio Rossi-Landi
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) Through digital signal processing of seismic signals
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 analyze the integrated process organization of neural information
D) To explore seismic oil deposits
  • 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) Umberto Eco and Ferruccio Rossi-Landi
B) Gerald Edelman and Giulio Tononi
C) R.V.L. Hartley and C.E. Shannon
D) Doede Nauta and Winfried Nöth
  • 18. What is Giulio Tononi's integrated information theory (IIT) of consciousness based on?
A) Shannon entropy
B) Seismic signal processing
C) Effective information
D) Min-entropy
  • 19. What underlies the definition of measures in the context of neural information organization?
A) A high degree of redundancy in signs
B) Analog methods of data transmission
C) External cryptographic random seeds
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 generation of pseudorandom numbers using extractors
C) The filtering of unwanted noise from desired seismic signals
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) Karl J. Friston
B) Gerald Edelman
C) Charles Sanders Peirce
D) Giulio Tononi
  • 22. What type of system does the free energy principle apply to?
A) A cryptographic random number generator
B) A self-organized system
C) A dominant social class
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 semiotic information theory
B) The integrated information theory
C) The dynamic core hypothesis
D) The Bayesian brain hypothesis
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Phrenology
B) Astrology
C) Alchemy
D) Search for extraterrestrial intelligence
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Black holes
B) Tectonic plates
C) Seismic waves
D) Neural clusters
  • 26. What life-science field is mentioned as having applications in information theory?
A) Biomechanics
B) Bioinformatics
C) Biophysics
D) Biochemistry
  • 27. What recreational activity is listed as an application of information theory?
A) Chess
B) Crosswords
C) Gambling
D) Cipher creation
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) Doede Nauta
B) R.V.L. Hartley
C) Gerald Edelman
D) Umberto Eco
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) Giulio Tononi
B) Winfried Nöth
C) C.E. Shannon
D) Ferruccio Rossi-Landi
  • 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) Integrated information theory
B) Dynamic core hypothesis
C) Free energy principle
D) History of information theory
  • 32. What do physiological systems use information theory to exchange, process, and integrate as?
A) A block cipher
B) A single organ
C) A brute force attack
D) A network
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Distinct physiological states
B) Symmetric keys
C) Information theory units
D) Unicity distances
  • 34. What does network cross-communication and regulation reveal within the organism?
A) How it occurs
B) Why brute force attacks succeed
C) Why it ceases permanently
D) How encryption keys are generated
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) One-time pad interactions
B) Enigma machine interactions
C) Cardio-respiratory interactions
D) Cryptographic interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Simulated virtual environments
B) Underground bunker environments
C) Cryogenic laboratory environments
D) Extreme environments
  • 37. What was the name of Turing's information unit used in the Ultra project?
A) The bit
B) The shannon
C) The byte
D) The ban
  • 38. In which project was Turing's information unit used?
A) The Enigma project
B) The Unicity project
C) The Ultra project
D) The Venona project
  • 39. What German machine code was broken during World War II with the help of the ban?
A) One-time pad code
B) Symmetric key code
C) Enigma machine code
D) Lorenz cipher 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 is extremely easy using symmetric keys
D) It requires no computational effort
  • 41. What kind of attack can break systems based on asymmetric or symmetric key algorithms?
A) An information-theoretic attack
B) A brute force attack
C) A network physiology attack
D) A conditional mutual attack
  • 42. What are symmetric key algorithms sometimes called?
A) Secret key algorithms
B) One-time pads
C) Unicity distance algorithms
D) Asymmetric algorithms
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) Transfer entropy
B) One-time pads
C) Block ciphers
D) Bans
  • 44. What must be used correctly even when applying information-theoretically secure methods?
A) Care
B) Block ciphers
C) Transfer entropy
D) Brute force
  • 45. Which project was able to crack the one-time pads of the Soviet Union?
A) The Network Physiology project
B) The Venona project
C) The Enigma project
D) The Ultra project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Channel coding
B) Lossless data compression
C) Lossy data compression
D) Rate-distortion theory
  • 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) Bytes
B) Distortion functions
C) Bits
D) Entropy
  • 49. What type of channel involves more than one transmitter?
A) The multiple-access channel
B) The wiretap channel
C) The relay channel
D) The broadcast 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 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) Kullback-Leibler divergence
B) Conditional entropy
C) Cross-entropy
D) Mutual information
  • 53. What type of space does the vector give values in for joint entropy?
A) Euclidean space
B) Vector space
C) Metric space
D) Product space
  • 54. What is the formula for self-information I(pi)?
A) -ln(pi)
B) log2(pi)
C) -log2(pi)
D) 1 / pi
  • 55. What is the entropy H relative to the surprisal of all possible symbols?
A) The maximum value
B) The weighted average
C) The geometric mean
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) No information
B) 1 shannon
C) 2000 bits
D) 1000 shannons
  • 57. In what year was Claude Shannon's paper 'A Mathematical Theory of Communication' published?
A) 1948
B) 1952
C) 1960
D) 1939
  • 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) Telecommunication
B) Quantum computing
C) Molecular biology
D) Artificial intelligence
  • 60. What is the entropy of a coin flip when you already know the outcome after it has landed?
A) Zero
B) 0.5 bits
C) 1 bit
D) 2 bits
  • 61. What is an example of source coding or data compression mentioned in the text?
A) DSL
B) Compact discs
C) ZIP files
D) Voyager missions
  • 62. What is an example of channel coding mentioned in the text?
A) DSL
B) Artificial intelligence
C) Mobile phones
D) ZIP files
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Curiosity rover
B) Hubble telescope
C) Voyager missions
D) Apollo missions
  • 64. Which invention's success was crucially impacted by information theory?
A) Compact disc
B) Steam engine
C) Television
D) Radio
  • 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 Internet
C) The postal service
D) The telegraph network
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Optical computing
B) Quantum computing
C) Cloud computing
D) Distributed computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Sculpture casting
B) Architectural drafting
C) Oil painting restoration
D) Art creation
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Acoustic room resonance
B) Vocal cord anatomy
C) Music
D) Musical instrument design
  • 70. Which philosophical field is listed at the end of the text as an application area of information theory?
A) Ethics
B) Metaphysics
C) Aesthetics
D) Epistemology
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) Harry Nyquist
B) James Gleick
C) Vannevar Bush
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) Alan Turing
B) James Gleick
C) Vannevar Bush
D) Ludwig Boltzmann
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Alan Turing
B) Claude Shannon
C) Ralph Hartley
D) Harry Nyquist
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) H = log Sn
B) PV = nRT
C) W = K log m
D) E = mc2
  • 76. What unit of information was sometimes called the hartley in honor of Ralph Hartley?
A) The baud
B) The byte
C) The bit
D) The decimal digit
  • 77. Who used similar ideas in 1940 as part of the statistical analysis of breaking German Enigma ciphers?
A) Harry Nyquist
B) Claude Shannon
C) Alan Turing
D) Ralph Hartley
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) Rolf Landauer
B) Vannevar Bush
C) Harry Nyquist
D) James Gleick
  • 79. What logarithmic base is the bit or shannon based on?
A) Natural logarithm
B) Binary logarithm
C) Decimal logarithm
D) Common logarithm
  • 80. What logarithmic base is the nat based on?
A) Base-two logarithm
B) Binary logarithm
C) Common logarithm
D) Natural logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Binary logarithm
B) Natural logarithm
C) Base-e logarithm
D) Common logarithm
  • 82. What does the maximum value of entropy represent?
A) The most predictable state
B) A deterministic sequence
C) The lowest possible information content
D) The most unpredictable state
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-e
B) Base-2
C) Base-10
D) Base-256
  • 84. What type of trial has two outcomes for the binary entropy function?
A) An equiprobable trial
B) A Bernoulli trial
C) A Markov trial
D) A logarithmic 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) Pointwise mutual information
B) Kullback-Leibler divergence
C) Log-likelihood ratio
D) Transinformation
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Quantum mechanics
B) Macroeconomics
C) Communication
D) Thermodynamics
  • 88. Mutual information can be expressed as the average of which divergence?
A) Mahalanobis distance
B) Kullback-Leibler divergence
C) Jensen-Shannon divergence
D) Euclidean distance
  • 89. With which statistical test is mutual information closely related in the context of contingency tables?
A) Log-likelihood ratio test
B) Student's t-test
C) Mann-Whitney U 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) Alice
B) Bob
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) Bob
C) Alice
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 empty set
B) An infinite continuous set
C) A discrete set
D) A finite geometric set
  • 94. Does directed information apply to statistical physics?
A) Only in macroscopic mechanics
B) Yes
C) Only in quantum states
D) No
  • 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) 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) A negligible factor in modern systems
B) An inherent fixed property
C) An unpredictable random variable that changes constantly
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) 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) Ternary input
B) Zero capacity
C) Gaussian noise
D) Memory
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