Redundancy and data compression in recursive estimation

Bar‐Shalom, Yaakov

doi:10.1109/tac.1972.1100094

Cited by 22 publications

(5 citation statements)

References 3 publications

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“…Such a reduction might be very important in systems in which the computing power is limited or too expensive. 20 In fact, all systems with limited resources that are located in a challenging environment and solve complex problems need to compress information. 21 In the nervous system, a computational benefit of information compression is that the transfer and utilization of a huge amount of sensory information would become much easier and less costly.…”

Section: Consciousness and Information Compressionmentioning

confidence: 99%

The QBIT Theory of Consciousness

Beshkar¹

2019

Preprint

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The QBIT theory is an attempt toward solving the problem of consciousness based on empirical evidence provided by various scientific disciplines including Quantum mechanics, Biology, Information theory, and Thermodynamics. This theory formulates the problem of consciousness in the following four questions: (1) What is the nature of qualia? (2) How are qualia generated? (3) Why are qualia subjective? (4) Why does a quale have a particular quality or meaning?In sum, the QBIT theory proposes that (1) when certainty of an observer about an event exceeds a certain level, the observer becomes conscious of that event; (2) consciousness requires Maxwell demon-assisted quantum computation; (3) a quale is a dense pack of meaningful quantum information encoded in maximally entangled pure states; (4) a quale is generated when robustness of an internal representation exceeds a certain threshold; (5) the quality or meaning of a quale is determined by a process of information compression via the matching and unification of patterns; and (6) subjectivity of consciousness is due to the fact that maximally entangled pure states are private and unshareable.

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Section: Consciousness and Information Compressionmentioning

confidence: 99%

The QBIT Theory of Consciousness

Beshkar¹

2019

Preprint

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“…Such a decrease might be important for systems in which the computing power is limited or too expensive. 48 In fact, any system with limited resources that is located in a challenging environment and solve complex problems need to compress information. 49 Information available to our sensory receptors is highly redundant.…”

Section: Information Compressionmentioning

confidence: 99%

The QBIT Theory of Consciousness

Beshkar¹

2019

Preprint

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The QBIT theory is an attempt toward solving the problem of consciousness based on empirical evidence provided by various scientific disciplines including quantum mechanics, biology, information theory, and thermodynamics. This theory formulates the problem of consciousness in the following four questions, and provides preliminary answers for each question: Question 1: What is the nature of qualia? Answer: A quale is a superdense pack of quantum information encoded in maximally entangled pure states. Question 2: How are qualia generated? Answer: When a pack of quantum information is compressed beyond a certain threshold, a quale is generated. Question 3: Why are qualia subjective? Answer: A quale is subjective because a pack of information encoded in maximally entangled pure states are essentially private and unshareable. Question 4: Why does a quale have a particular meaning? Answer: A pack of information within a cognitive system gradually obtains a particular meaning as it undergoes a progressive process of interpretation performed by an internal model installed in the system.This paper introduces the QBIT theory of consciousness, and explains its basic assumptions and conjectures.

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“…(31) We now consider the limiting value of the covariance of estimation errors, first by increasing the measurement frequency, and then by increasing the observation time. As the measurement frequency increases, each of the observed probabilities nR/n converges in probability to PR(t, 0).…”

Section: The Minimum Tansform Chi-square Local Processormentioning

confidence: 99%

“…Then both the ML and MTCS estimators converge to 0 [4], since 0 is a continuous function of nRIn. Alternatively, the discrete-time or continuous-time form for the information matrix [(30) and (31)] shows that, for a fixed observation time, doubling the frequency of (independent) measurements doubles the information matrix and, hence, The off-diagonal terms in the integrand are odd functions and integrate to zero. Thus, it is readily seen that I(T2 , 0) > I(T1, 0) for T2 > T1 , so that increasing the observation time will reduce the Cramer-Rao bound on the estimation errors.…”

Section: The Minimum Tansform Chi-square Local Processormentioning

confidence: 99%

State Estimation with Coarsely Quantized, High-Data-Rate Measurements

Curry

Mirchandani

Price³

1975

IEEE Trans. Aerosp. Electron. Syst.

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This paper treats the problem of estimating a signal corrupted by noise that is sampled and quantized at a high data rate. Local and global processors are proposed to achieve data compression that permits near optimal extraction of information. Two techniquesmaximum likelihood and minimum transform chi square, which are in the class of best asymptotically normal estimators-are investigated for the local processor. Simulation results are presented to demonstrate the feasibility of the approach.

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Redundancy and data compression in recursive estimation

Cited by 22 publications

References 3 publications

The QBIT Theory of Consciousness

The QBIT Theory of Consciousness

The QBIT Theory of Consciousness

State Estimation with Coarsely Quantized, High-Data-Rate Measurements

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