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Information theory - 测验
供稿人: Haynes
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Seismic exploration
B) Cryptographic use
C) Gambling
D) Bioinformatics
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) High Shannon entropy
B) Random seeds external to the software
C) Integrated neural clusters
D) Analog processing methods
  • 3. How can random seeds for pseudorandom generators be obtained?
A) Through Shannon entropy
B) By using semiotic signs
C) Via extractors
D) Via digital noise
  • 4. What is the measure of sufficient randomness in extractors?
A) Effective information
B) Dynamic core hypothesis
C) Free energy
D) Min-entropy
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Rényi entropy
B) Conditional entropy
C) Thermal entropy
D) Algorithmic entropy
  • 6. Where is Rényi entropy also used?
A) In seismic oil exploration
B) In evaluating randomness in cryptographic systems
C) In semiotic code control
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 for pseudorandom numbers
B) No
C) Yes
D) Only in cryptographic systems
  • 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) Minimize free energy in the brain
B) Decode dominant social messages
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) Cryptographically secure pseudorandom number generators
B) Extractors and Rényi entropy
C) Free energy principles
D) Information theory and digital signal processing
  • 11. Which semioticians considered Charles Sanders Peirce as having created a theory of information?
A) Karl J. Friston and Andrey Kolmogorov
B) Doede Nauta and Winfried Nöth
C) Gerald Edelman and Giulio Tononi
D) Umberto Eco and Ferruccio Rossi-Landi
  • 12. How did Doede Nauta define semiotic information theory?
A) The measurement of sufficient randomness in extractors
B) The study of the internal processes of coding, filtering, and information processing
C) The minimization of free energy in a self-organized system
D) The separation of unwanted noise from seismic signals
  • 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) 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 extract random numbers for cryptography
B) To explore seismic oil deposits
C) To analyze the integrated process organization of neural information
D) To study black holes and bioinformatics
  • 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 paradox of extraterrestrial intelligence
D) The problem of algorithmic complexity
  • 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) R.V.L. Hartley and C.E. Shannon
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) Shannon entropy
B) Min-entropy
C) Effective information
D) Seismic signal processing
  • 19. What underlies the definition of measures in the context of neural information organization?
A) External cryptographic random seeds
B) A high degree of redundancy in signs
C) Analog methods of data transmission
D) A reentrant process organization
  • 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) 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) A self-organized system
C) An analog seismic receiver
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 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) Tectonic plates
B) Seismic waves
C) Black holes
D) Neural clusters
  • 26. What life-science field is mentioned as having applications in information theory?
A) Biomechanics
B) Bioinformatics
C) Biochemistry
D) Biophysics
  • 27. What recreational activity is listed as an application of information theory?
A) Gambling
B) Crosswords
C) Chess
D) Cipher creation
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) Gerald Edelman
B) Umberto Eco
C) R.V.L. Hartley
D) Doede Nauta
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) Giulio Tononi
B) Ferruccio Rossi-Landi
C) Winfried Nöth
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) Integrated information theory
B) Free energy principle
C) Dynamic core hypothesis
D) History of 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) Unicity distances
B) Symmetric keys
C) Distinct physiological states
D) Information theory units
  • 34. What does network cross-communication and regulation reveal within the organism?
A) Why brute force attacks succeed
B) How encryption keys are generated
C) Why it ceases permanently
D) How it occurs
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) One-time pad interactions
B) Cardio-respiratory interactions
C) Cryptographic interactions
D) Enigma machine interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Cryogenic laboratory environments
B) Simulated virtual environments
C) Underground bunker environments
D) Extreme environments
  • 37. What was the name of Turing's information unit used in the Ultra project?
A) The shannon
B) The ban
C) The byte
D) The bit
  • 38. In which project was Turing's information unit used?
A) The Enigma project
B) The Unicity 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) Symmetric key code
B) Enigma machine code
C) One-time pad 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 requires no computational effort
C) It is extremely easy using symmetric keys
D) It is much more difficult than it might first appear
  • 41. What kind of attack can break systems based on asymmetric or symmetric key algorithms?
A) A network physiology attack
B) A conditional mutual attack
C) An information-theoretic attack
D) A brute force 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) Bans
B) One-time pads
C) Transfer entropy
D) Block ciphers
  • 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 Ultra project
B) The Venona project
C) The Enigma project
D) The Network Physiology project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Channel coding
B) Lossy data compression
C) Lossless data compression
D) Rate-distortion theory
  • 47. What justifies the division of coding theory into compression and transmission?
A) Source-channel separation theorems
B) Pragmatic information
C) Channel resolvability
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) Bytes
C) Entropy
D) Bits
  • 49. What type of channel involves more than one transmitter?
A) The multiple-access channel
B) The broadcast channel
C) The relay channel
D) The wiretap channel
  • 50. What type of channel involves more than one receiver?
A) The multiple-access channel
B) The broadcast channel
C) The relay channel
D) The wiretap channel
  • 51. What type of channel involves intermediary helpers?
A) The multiple-access channel
B) The broadcast channel
C) The relay channel
D) The wiretap channel
  • 52. What should joint entropy not be confused with despite similar notation?
A) Mutual information
B) Cross-entropy
C) Kullback-Leibler divergence
D) Conditional entropy
  • 53. What type of space does the vector give values in for joint entropy?
A) Metric space
B) Euclidean space
C) Product space
D) Vector space
  • 54. What is the formula for self-information I(pi)?
A) 1 / pi
B) -ln(pi)
C) log2(pi)
D) -log2(pi)
  • 55. What is the entropy H relative to the surprisal of all possible symbols?
A) The weighted average
B) The median
C) The geometric mean
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) 2000 bits
B) 1 shannon
C) No information
D) 1000 shannons
  • 57. In what year was Claude Shannon's paper 'A Mathematical Theory of Communication' published?
A) 1939
B) 1948
C) 1952
D) 1960
  • 58. In what decade was information theory established and formalized?
A) 1920s
B) 1950s
C) 1930s
D) 1940s
  • 59. In what context was information theory initially formed?
A) Quantum computing
B) Molecular biology
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) 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) Compact discs
B) ZIP files
C) DSL
D) Voyager missions
  • 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) Hubble telescope
B) Curiosity rover
C) Voyager missions
D) Apollo missions
  • 64. Which invention's success was crucially impacted by information theory?
A) Television
B) Compact disc
C) Steam engine
D) Radio
  • 65. What technology's feasibility was made possible by information theory?
A) Airplanes
B) Electric guitars
C) Automobiles
D) Mobile phones
  • 66. What modern developments were impacted by information theory alongside artificial intelligence?
A) The printing press
B) The postal service
C) The Internet
D) The telegraph network
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Optical computing
B) Distributed computing
C) Quantum computing
D) Cloud 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) Sculpture casting
D) Architectural drafting
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Vocal cord anatomy
B) Acoustic room resonance
C) Musical instrument design
D) Music
  • 70. Which philosophical field is listed at the end of the text as an application area of information theory?
A) Metaphysics
B) Ethics
C) Epistemology
D) Aesthetics
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) Ralph Hartley
B) James Gleick
C) Harry Nyquist
D) Vannevar Bush
  • 72. In what year did Shannon outline some of his initial ideas in a letter to Vannevar Bush?
A) 1939
B) 1940
C) 1948
D) 1928
  • 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) Ralph Hartley
B) Harry Nyquist
C) Claude Shannon
D) Alan Turing
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) PV = nRT
B) W = K log m
C) H = log Sn
D) E = mc2
  • 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) Ralph Hartley
C) Harry Nyquist
D) Alan Turing
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) James Gleick
B) Vannevar Bush
C) Rolf Landauer
D) Harry Nyquist
  • 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) Binary logarithm
D) Common logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Base-e logarithm
B) Common logarithm
C) Binary logarithm
D) Natural logarithm
  • 82. What does the maximum value of entropy represent?
A) The most unpredictable state
B) A deterministic sequence
C) The lowest possible information content
D) The most predictable state
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-256
B) Base-2
C) Base-10
D) Base-e
  • 84. What type of trial has two outcomes for the binary entropy function?
A) An equiprobable trial
B) A logarithmic trial
C) A Markov trial
D) A Bernoulli trial
  • 85. What is another name for conditional entropy?
A) Marginal entropy
B) Mutual information
C) Joint entropy
D) Equivocation
  • 86. What is another name for mutual information according to the text?
A) Transinformation
B) Pointwise mutual information
C) Kullback-Leibler divergence
D) Log-likelihood ratio
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Macroeconomics
B) Communication
C) Thermodynamics
D) Quantum mechanics
  • 88. Mutual information can be expressed as the average of which divergence?
A) Kullback-Leibler divergence
B) Mahalanobis distance
C) Jensen-Shannon divergence
D) Euclidean distance
  • 89. With which statistical test is mutual information closely related in the context of contingency tables?
A) Student's t-test
B) Log-likelihood ratio test
C) Mann-Whitney U test
D) Shapiro-Wilk test
  • 90. What type of mathematical function is the KL divergence classified as?
A) Euclidean metric
B) Linear transformation
C) Inner product
D) Semi-quasimetric
  • 91. In the alternative interpretation involving Alice and Bob, who knows the true probability distribution p(x)?
A) Neither
B) Both
C) Bob
D) Alice
  • 92. According to the surprise interpretation, who will be more surprised on average upon seeing the value of X?
A) Alice
B) Bob
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) A discrete set
B) A finite geometric set
C) An infinite continuous set
D) An empty set
  • 94. Does directed information apply to statistical physics?
A) No
B) Yes
C) Only in macroscopic mechanics
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) {Y1, Y2, ..., Y_n}
D) {X0, X1, ..., X_{n-1}}
  • 96. What do the two expressions for the rate give for stationary sources?
A) Completely different results
B) An undefined value
C) The same result
D) A result of zero
  • 97. How is the noise nature of the channel considered in the text?
A) A completely controllable variable
B) An inherent fixed property
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) i
B) Hb
C) p
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) Gaussian noise
B) Zero capacity
C) Ternary input
D) Memory
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