Abstract: A computer-implemented method is presented for optimal experimental design to correct a misspecified model approximating a behavior of a dynamic system. The method includes formulating an experiment, determining experimental settings for configuring controllable experimental parameters based on mutual information and submodularity, measuring informative values associated with each choice of experimental design, as prescribed by the controllable experimental parameters, and learning a correction function based on the measured informative values. The computer-implemented method further includes determining an experimental design setup for gaining information content, and combining the experimental design setup with the experimental settings to construct a corrected model of the dynamic system.

Abstract: Systems and methods are described herein for investigating a downhole formation using a nuclear magnetic resonance (NMR) tool. The tool includes multiple detectors spaced along an axis parallel to a length of the wellbore. While the tool is moving through the wellbore, NMR pulse sequences are applied to the formation and resulting NMR signals are detected by the detectors. The data obtained over a period of time by the multiple detectors are inverted together to obtain an indication of a parameter of the formation at multiple locations along the length of the wellbore.

Abstract: A computer-implemented method is presented for optimal experimental design to correct a misspecified model approximating a behavior of a dynamic system. The method includes formulating an experiment, determining experimental settings for configuring controllable experimental parameters based on mutual information and submodularity, measuring informative values associated with each choice of experimental design, as prescribed by the controllable experimental parameters, and learning a correction function based on the measured informative values. The computer-implemented method further includes determining an experimental design setup for gaining information content, and combining the experimental design setup with the experimental settings to construct a corrected model of the dynamic system.

Abstract: A method for decoding a set of packets asynchronously on same nominal carrier frequency transmitted over a common communication medium, receives a signal including a combination of the set of packets modified with noise of the common communication medium, each packet includes a preamble common to all packets in the set and a payload unique for at least some packets in the set. The method determines, using a sparse recovery, a frequency offset of the transmission of each packet from the carrier frequency, a time offset of the transmission of each packet from a common point in time, and a channel gain corresponding to the transmission of each packet over a channel in the common communication medium and decodes the payloads of the packets in the set using the frequency offsets, the time offsets, and the channel gains.

Abstract: A method for decoding a set of packets asynchronously on same nominal carrier frequency transmitted over a common communication medium, receives a signal including a combination of the set of packets modified with noise of the common communication medium, each packet includes a preamble common to all packets in the set and a payload unique for at least some packets in the set. The method determines, using a sparse recovery, a frequency offset of the transmission of each packet from the carrier frequency, a time offset of the transmission of each packet from a common point in time, and a channel gain corresponding to the transmission of each packet over a channel in the common communication medium and decodes the payloads of the packets in the set using the frequency offsets, the time offsets, and the channel gains.

Abstract: Systems and methods are described herein for investigating a downhole formation using a nuclear magnetic resonance (NMR) tool. The tool includes multiple detectors spaced along an axis parallel to a length of the wellbore. While the tool is moving through the wellbore, NMR pulse sequences are applied to the formation and resulting NMR signals are detected by the detectors. The data obtained over a period of time by the multiple detectors are inverted together to obtain an indication of a parameter of the formation at multiple locations along the length of the wellbore.