Abstract: A method and apparatus for certification of facts introduces a certifier and a fact certificate into the fact-exchange cycle that enables parties to exchange trustworthy facts. Certification is provided to a fact presenter during the first part of the fact-exchange cycle, and verification is provided to the fact receiver during the last part of the cycle. To request a certification, a fact presenter presents the Certifier with a fact. In return, the certifier issues a fact certificate, after which the fact presenter presents the fact certificate to the fact receiver instead of presenting the fact itself. The receiver inspects the received certificate in order to evaluate the fact's validity and trustworthiness. For some facts and notions of verification, the certificate is sufficient and its inspection does not require any communication. For others, the receiver requests a verification service from the Certifier in order to complete the verification.

Abstract: The invention relates to information representation, exchange, validation, and utilization. Embodiments of the invention enable a fully digital shared information reality: an information fabric, in which unlimited numbers of participants can all permanently access (with access controls) information objects that all participants can trust and verify, according to a universal set of protocols that are logically complete, address all stages of information exchange, and enable convincing, persuasive user experience. We disclose foundational embodiments that include methods to properly record, store, communicate and display information in digital form; computational verification and validation of information; and foundational concepts in human-information interaction. The invention teaches that by using unique digital objects, numerous difficulties and inefficiencies in state-of-the-art information exchange are overcome, and the next stage of digital transformation is enabled.

Abstract: A method and apparatus for certification of facts introduces a certifier and a fact certificate into the fact-exchange cycle that enables parties to exchange trustworthy facts. Certification is provided to a fact presenter during the first part of the fact-exchange cycle, and verification is provided to the fact receiver during the last part of the cycle. To request a certification, a fact presenter presents the Certifier with a fact. In return, the certifier issues a fact certificate, after which the fact presenter presents the fact certificate to the fact receiver instead of presenting the fact itself. The receiver inspects the received certificate in order to evaluate the fact's validity and trustworthiness. For some facts and notions of verification, the certificate is sufficient and its inspection does not require any communication. For others, the receiver requests a verification service from the Certifier in order to complete the verification.

Abstract: A method and apparatus for certification of facts introduces a certifier and a fact certificate into the fact-exchange cycle that enables parties to exchange trustworthy facts. Certification is provided to a fact presenter during the first part of the fact-exchange cycle, and verification is provided to the fact receiver during the last part of the cycle. To request a certification, a fact presenter presents the Certifier with a fact. In return, the certifier issues a fact certificate, after which the fact presenter presents the fact certificate to the fact receiver instead of presenting the fact itself. The receiver inspects the received certificate in order to evaluate the fact's validity and trustworthiness. For some facts and notions of verification, the certificate is sufficient and its inspection does not require any communication. For others, the receiver requests a verification service from the Certifier in order to complete the verification.

Abstract: A method and apparatus for certification of facts introduces a certifier and a fact certificate into the fact-exchange cycle that enables parties to exchange trustworthy facts. Certification is provided to a fact presenter during the first part of the fact-exchange cycle, and verification is provided to the fact receiver during the last part of the cycle. To request a certification, a fact presenter presents the Certifier with a fact. In return, the certifier issues a fact certificate, after which the fact presenter presents the fact certificate to the fact receiver instead of presenting the fact itself. The receiver inspects the received certificate in order to evaluate the fact's validity and trustworthiness. For some facts and notions of verification, the certificate is sufficient and its inspection does not require any communication. For others, the receiver requests a verification service from the Certifier in order to complete the verification.

Abstract: A method and apparatus for certification of facts introduces a certifier and a fact certificate into the fact-exchange cycle that enables parties to exchange trustworthy facts. Certification is provided to a fact presenter during the first part of the fact-exchange cycle, and verification is provided to the fact receiver during the last part of the cycle. To request a certification, a fact presenter presents the Certifier with a fact. In return, the certifier issues a fact certificate, after which the fact presenter presents the fact certificate to the fact receiver instead of presenting the fact itself. The receiver inspects the received certificate in order to evaluate the fact's validity and trustworthiness. For some facts and notions of verification, the certificate is sufficient and its inspection does not require any communication. For others, the receiver requests a verification service from the Certifier in order to complete the verification.

Abstract: A method and apparatus for certification of facts introduces a certifier and a fact certificate into the fact-exchange cycle that enables parties to exchange trustworthy facts. Certification is provided to a fact presenter during the first part of the fact-exchange cycle, and verification is provided to the fact receiver during the last part of the cycle. To request a certification, a fact presenter presents the Certifier with a fact. In return, the certifier issues a fact certificate, after which the fact presenter presents the fact certificate to the fact receiver instead of presenting the fact itself. The receiver inspects the received certificate in order to evaluate the fact's validity and trustworthiness. For some facts and notions of verification, the certificate is sufficient and its inspection does not require any communication. For others, the receiver requests a verification service from the Certifier in order to complete the verification.

Abstract: A method and apparatus for certification of facts introduces a certifier and a fact certificate into the fact-exchange cycle that enables parties to exchange trustworthy facts. Certification is provided to a fact presenter during the first part of the fact-exchange cycle, and verification is provided to the fact receiver during the last part of the cycle. To request a certification, a fact presenter presents the Certifier with a fact. In return, the certifier issues a fact certificate, after which the fact presenter presents the fact certificate to the fact receiver instead of presenting the fact itself. The receiver inspects the received certificate in order to evaluate the fact's validity and trustworthiness. For some facts and notions of verification, the certificate is sufficient and its inspection does not require any communication. For others, the receiver requests a verification service from the Certifier in order to complete the verification.

Abstract: A method and apparatus for certification of facts introduces a certifier and a fact certificate into the fact-exchange cycle that enables parties to exchange trustworthy facts. Certification is provided to a fact presenter during the first part of the fact-exchange cycle, and verification is provided to the fact receiver during the last part of the cycle. To request a certification, a fact presenter presents the Certifier with a fact. In return, the certifier issues a fact certificate, after which the fact presenter presents the fact certificate to the fact receiver instead of presenting the fact itself. The receiver inspects the received certificate in order to evaluate the fact's validity and trustworthiness. For some facts and notions of verification, the certificate is sufficient and its inspection does not require any communication. For others, the receiver requests a verification service from the Certifier in order to complete the verification.

Abstract: Method and apparatus for compressed sensing yields acceptable quality reconstructions of an object from reduced numbers of measurements. A component x of a signal or image is represented as a vector having m entries. Measurements y, comprising a vector with n entries, where n is less than m, are made. An approximate reconstruction of the m-vector x is made from y. Special measurement matrices allow measurements y=Ax+z, where y is the measured m-vector, x the desired n-vector and z an m-vector representing noise. “A” is an n by m matrix, i.e. an array with fewer rows than columns. “A” enables delivery of an approximate reconstruction, x#, of x. An embodiment discloses approximate reconstruction of x from the reduced-dimensionality measurement y. Given y, and the matrix A, approximate reconstruction x# of x is possible. This embodiment is driven by the goal of promoting the approximate sparsity of x#.

Abstract: An apparatus and method for centralized policy management of large-scale networks (221) of computational devices is disclosed. The apparatus includes a number of distributed clients (400) run on registered computers (201-203), gathering policy advisories (401) and reporting (405) relevance (403) to a system administrator (224). The system administrator may view the relevant messages (505) through a management interface (500) and deploy suggested actions to distributed clients (503), where the actions are executed to apply the solutions of the advisories (408).

Abstract: A method and apparatus for certification of facts introduces a certifier and a fact certificate into the fact-exchange cycle that enables parties to exchange trustworthy facts. Certification is provided to a fact presenter during the first part of the fact-exchange cycle, and verification is provided to the fact receiver during the last part of the cycle. To request a certification, a fact presenter presents the Certifier with a fact. In return, the certifier issues a fact certificate, after which the fact presenter presents the fact certificate to the fact receiver instead of presenting the fact itself. The receiver inspects the received certificate in order to evaluate the fact's validity and trustworthiness. For some facts and notions of verification, the certificate is sufficient and its inspection does not require any communication. For others, the receiver requests a verification service from the Certifier in order to complete the verification.

Abstract: A method and apparatus for certification of facts introduces a certifier and a fact certificate into the fact-exchange cycle that enables parties to exchange trustworthy facts. Certification is provided to a fact presenter during the first part of the fact-exchange cycle, and verification is provided to the fact receiver during the last part of the cycle. To request a certification, a fact presenter presents the Certifier with a fact. In return, the certifier issues a fact certificate, after which the fact presenter presents the fact certificate to the fact receiver instead of presenting the fact itself. The receiver inspects the received certificate in order to evaluate the fact's validity and trustworthiness. For some facts and notions of verification, the certificate is sufficient and its inspection does not require any communication. For others, the receiver requests a verification service from the Certifier in order to complete the verification.

Abstract: A method and apparatus for certification of facts introduces a certifier and a fact certificate into the fact-exchange cycle that enables parties to exchange trustworthy facts. Certification is provided to a fact presenter during the first part of the fact-exchange cycle, and verification is provided to the fact receiver during the last part of the cycle. To request a certification, a fact presenter presents the Certifier with a fact. In return, the certifier issues a fact certificate, after which the fact presenter presents the fact certificate to the fact receiver instead of presenting the fact itself. The receiver inspects the received certificate in order to evaluate the fact's validity and trustworthiness. For some facts and notions of verification, the certificate is sufficient and its inspection does not require any communication. For others, the receiver requests a verification service from the Certifier in order to complete the verification.

Abstract: Method and apparatus for compressed sensing yields acceptable quality reconstructions of an object from reduced numbers of measurements. A component x of a signal or image is represented as a vector having m entries. Measurements y, comprising a vector with n entries, where n is less than m, are made. An approximate reconstruction of the m-vector x is made from y. Special measurement matrices allow measurements y=Ax+z, where y is the measured m-vector, x the desired n-vector and z an m-vector representing noise. “A” is an n by m matrix, i.e. an array with fewer rows than columns. “A” enables delivery of an approximate reconstruction, x#, of x. An embodiment discloses approximate reconstruction of x from the reduced-dimensionality measurement y. Given y, and the matrix A, approximate reconstruction x# of x is possible. This embodiment is driven by the goal of promoting the approximate sparsity of x#.

Abstract: The invention disclosed herein enables a collection of computers and associated communications infrastructure to offer a new communications process which allows information providers to broadcast information to a population of information consumers. The information may be targeted to those consumers who have a precisely formulated need for the information. Information can be brought to the attention of the consumer precisely when it has become applicable, which may occur immediately upon receipt of the message, but may also occur long after the message arrives. The communications process may operate without intruding on consumers who do not exhibit the precisely-specified need for the information, and it may operate without compromising the security or privacy of the consumers who participate. The communications process may be used to facilitate particular client and server queries and responses, such as for example, in a travel agency environment.

Abstract: Method and apparatus for compressed sensing yields acceptable quality reconstructions of an object from reduced numbers of measurements. A component x of a signal or image is represented as a vector having m entries. Measurements y, comprising a vector with n entries, where n is less than m, are made. An approximate reconstruction of the m-vector x is made from y. Special measurement matrices allow measurements y=Ax+z, where y is the measured m-vector, x the desired n-vector and z an m-vector representing noise. “A” is an n by m matrix, i.e. an array with fewer rows than columns. “A” enables delivery of an approximate reconstruction, x#? of x. An embodiment discloses approximate reconstruction of x from the reduced-dimensionality measurement y. Given y, and the matrix A, approximate reconstruction x# of x is possible. This embodiment is driven by the goal of promoting the approximate sparsity of x#.

Abstract: A method and apparatus for certification of facts introduces a certifier and a fact certificate into the fact-exchange cycle that enables parties to exchange trustworthy facts. Certification is provided to a fact presenter during the first part of the fact-exchange cycle, and verification is provided to the fact receiver during the last part of the cycle. To request a certification, a fact presenter presents the Certifier with a fact. In return, the certifier issues a fact certificate, after which the fact presenter presents the fact certificate to the fact receiver instead of presenting the fact itself. The receiver inspects the received certificate in order to evaluate the fact's validity and trustworthiness. For some facts and notions of verification, the certificate is sufficient and its inspection does not require any communication. For others, the receiver requests a verification service from the Certifier in order to complete the verification.

Abstract: The invention disclosed herein enables a collection of computers and associated communications infrastructure to offer a new communications process which allows information providers to broadcast information to a population of information consumers. The information may be targeted to those consumers who have a precisely formulated need for the information. This targeting may be based on information which is inaccessible to other communications protocols. The targeting also includes a time element. Information can be brought to the attention of the consumer precisely when it has become applicable, which may occur immediately upon receipt of the message, but may also occur long after the message arrives. The communications process may operate without intruding on consumers who do not exhibit the precisely-specified need for the information, and it may operate without compromising the security or privacy of the consumers who participate.

Abstract: Method and apparatus for compressed sensing yields acceptable quality reconstructions of an object from reduced numbers of measurements. A component x of a signal or image is represented as a vector having m entries. Measurements y, comprising a vector with n entries, where n is less than m, are made. An approximate reconstruction of the m-vector x is made from y. Special measurement matrices allow measurements y=Ax+z, where y is the measured m-vector, x the desired n-vector and z an m-vector representing noise. “A” is an n by m matrix, i.e. an array with fewer rows than columns. “A” enables delivery of an approximate reconstruction, x#? of x. An embodiment discloses approximate reconstruction of x from the reduced-dimensionality measurement y. Given y, and the matrix A, approximate reconstruction x# of x is possible. This embodiment is driven by the goal of promoting the approximate sparsity of x#.