Abstract: Methods, systems, and media for solving quadratic optimization problems are disclosed herein. In some embodiments, a method may involve receiving, by one or more processors, a first quadratic optimization problem comprising an objective and a set of inequality constraints. The method may involve obtaining an initial solution to the first quadratic optimization problem subject to the set of inequality constraints. The method may involve identifying a subset of the set of inequality constraints that are active constraints with respect to an optimal solution. The method may involve obtaining an updated solution to the first quadratic optimization problem by solving a second quadratic optimization problem that corresponds to optimizing the objective subject to the active constraints. The method may involve determining an accuracy and precision associated with the updated solution.

Abstract: Designs of redox flow battery arrays and methods for balancing state of charge within the arrays are disclosed. Flow battery unit strings in the arrays which comprise strings of flow battery units (in which units share a common electrolyte pair) are balanced by measuring the states of charge of the common electrolyte pairs and appropriately regulating flow in one or more of the associated anolyte and catholyte circuits so as to balance the state-of charge in the flow battery unit strings. The apparatus required, i.e. state-of-charge measuring device, flow regulator, and controller, represents a substantial simplification to state of the art approaches.

Abstract: A processor-implemented method for simultaneously tracking one or more objects includes receiving, via a dynamical system with a set of sensors, a first set of unlabeled measurements from one or more objects. Each of the measurements is a function of time. A set of candidate tracks is determined for the one or more objects. Probabilities of each of the first set of unlabeled measurements being assigned to each of the set of candidate tracks are computed. A track from the set of candidate tracks is determined for each of the one or more objects based on a joint probability distribution of track attributes and the probabilistic assignment of each of the first set of unlabeled measurements to each of the set of candidate tracks.

Abstract: A ceramic matrix composite component and method of fabrication including a plurality of longitudinally extending ceramic matrix composite plies in a stacked configuration forming a densified body and one or more elongate functional features formed therein and in alignment with the plurality of longitudinally extending ceramic matrix composite plies. Each of the elongate functional features includes an inlet configured to be in fluid communication with a flow of cooling fluid from a fluid source. One or more bores cut through the plurality of ceramic matrix composite plies from at least one of the one or more elongate functional features to an outlet proximate to an outer surface of the ceramic matrix composite component. One or more film cooling throughholes cut through the ceramic matrix composite plies from an inner surface of the ceramic matrix composite component to an outlet proximate to the outer surface of the ceramic matrix composite component.

Abstract: A processor-implemented method includes approximating an optimization problem for training an artificial neural network as a nested polynomial optimization problem. The method also includes dividing the nested polynomial optimization problem into a sequence of sub-problems. The method further includes hierarchically solving the sequence of sub-problems to train the artificial neural network.

Abstract: A ceramic matrix composite (CMC) component and method of fabrication including one or more elongate functional features in the CMC component. The CMC component includes a plurality of longitudinally extending ceramic matrix composite plies in a stacked configuration. Each of the one or more elongate functional features includes an inlet in fluid communication with a source of a cooling fluid flow. The CMC component further includes one or more bores cutting through the plurality of longitudinally extending ceramic matrix composite plies from at least one of the one or more elongate functional features to an outlet proximate to an outer surface of the ceramic matrix composite to form a cooling channel.

Abstract: A processor-implemented method includes receiving as input, a global polynomial optimization problem that approximates a training problem of a neural network. The method also includes relaxing the global polynomial optimization problem including polynomial constraints with multiple semi-definite programs. The method further includes solving the semi-definite programs based on a pre-defined structure and outputting a solution indicating a location of a global optimum of the optimization problem. The method includes performing inference with the neural network based on the solution.

Abstract: A processor-implemented method includes receiving, as input, an array of values characterizing a polynomial feasibility problem representing a physical system for solving a computational problem. The method also includes reducing dimensions of the polynomial feasibility problem by transforming the polynomial feasibility problem into a high-dimensional linear feasibility problem and a non-linear feasibility problem. The method further includes solving the high-dimensional linear feasibility problem to obtain a first set of interim solutions. The method includes solving the non-linear feasibility problem based on the first set of interim solutions to obtain a result of the non-linear feasibility problem. The method also includes outputting parameters characterizing the physical system, with a ground state corresponding to an output solution of the computational problem based on the result obtained from solving the non-linear feasibility problem.

Abstract: Designs of redox flow battery arrays and methods for balancing state of charge within the arrays are disclosed. Flow battery unit strings in the arrays which comprise strings of flow battery units (in which units share a common electrolyte pair) are balanced by measuring the states of charge of the common electrolyte pairs and appropriately regulating flow in one or more of the associated anolyte and catholyte circuits so as to balance the state-of charge in the flow battery unit strings. The apparatus required, i.e. state-of-charge measuring device, flow regulator, and controller, represents a substantial simplification to state of the art approaches.

Abstract: Disclosed here is a method of detecting traumatic brain injury in a subject, comprising collecting a biological sample from the subject; analyzing the biological sample to determine the level of at least one protein selected from ALDOA, PHKB, HBA-A1, DPYSL2, SYN1 and/or CKB; and determining whether the level of the at least one protein exceeds a predetermined threshold. In certain aspects, the method further comprises the step of administering a treatment to the subject if the at least one protein exceeds the predetermined threshold. The disclosed technology relates generally to brain injuries, and in particular to a panel of serum based biomarkers that can identify individuals with mild traumatic brain injury (TBI).

Abstract: An applicator assembly for applying pressure to a composite structure includes an external frame, an applicator casing disposed substantially within the external frame, and an applicator disposed substantially within the applicator casing. The applicator casing includes a first membrane, and a first jamming material disposed within the first membrane. The applicator includes a second membrane, and a second jamming material disposed within said second membrane.

Abstract: A ceramic matrix composite (CMC) component and method of fabrication including one or more elongate functional features in the CMC component. The CMC component includes a plurality of longitudinally extending ceramic matrix composite plies in a stacked configuration. Each of the one or more elongate functional features includes an inlet in fluid communication with a source of a cooling fluid flow. The CMC component further includes one or more bores cutting through the plurality of longitudinally extending ceramic matrix composite plies from at least one of the one or more elongate functional features to an outlet proximate to an outer surface of the ceramic matrix composite to form a cooling channel.

Abstract: A device for the placement of material on a surface includes a housing, a motor coupled to the housing, and a driving component coupled to the housing and powered by the motor. The device further includes at least one guide chute defining a guide channel with the driving component. The device further includes a layup roller coupled to the housing adjacent the guide channel. The layup roller includes a roller surface and the guide channel is configured to discharge a quantity of material to the roller surface. The layup roller is configured to deposit the material onto the surface.

Abstract: An applicator assembly for applying pressure to a composite structure includes an external frame, an applicator casing disposed substantially within the external frame, and an applicator disposed substantially within the applicator casing. The applicator casing includes a first membrane, and a first jamming material disposed within the first membrane. The applicator includes a second membrane, and a second jamming material disposed within said second membrane.

Abstract: An applicator assembly for applying pressure to a composite structure includes an external frame, an applicator casing disposed substantially within the external frame, and an applicator disposed substantially within the applicator casing. The applicator casing includes a first membrane, and a first jamming material disposed within the first membrane. The applicator includes a second membrane, and a second jamming material disposed within said second membrane.

Abstract: A system for forming material includes a housing including at least one wall defining an interior space. The housing is configured to contain a pressurized fluid in the interior space. The system also includes at least one tool configured to shape the material. The at least one tool is movable along a path from a first position external to the housing to a second position at least partially within the interior space. The system further includes a membrane extending at least partially in the path of the at least one tool.

Abstract: A film separation system for use in separating a removable film adhered to a ply of material positioned on a work surface. The film separation system includes a holding member configured to hold the ply of material on the work surface, a movable arm configured to translate relative to the work surface, and a rotatable brush coupled to the movable arm. The movable arm is configured to translate the rotatable brush towards an edge of the ply of material, and the rotatable brush is oriented relative to the ply of material such that, when rotated, the rotatable brush is configured to bias the removable film away from the work surface, thereby creating a region of separation between the ply and the removable film.

Abstract: An applicator assembly for applying pressure to a composite structure includes an external frame, an applicator casing disposed substantially within the external frame, and an applicator disposed substantially within the applicator casing. The applicator casing includes a first membrane, and a first jamming material disposed within the first membrane. The applicator includes a second membrane, and a second jamming material disposed within said second membrane.

Abstract: A system for forming material includes a housing including at least one wall defining an interior space. The housing is configured to contain a pressurized fluid in the interior space. The system also includes at least one tool configured to shape the material. The at least one tool is movable along a path from a first position external to the housing to a second position at least partially within the interior space. The system further includes a membrane extending at least partially in the path of the at least one tool.

Abstract: A device for the placement of material on a surface includes a housing, a motor coupled to the housing, and a driving component coupled to the housing and powered by the motor. The device further includes at least one guide chute defining a guide channel with the driving component. The device further includes a layup roller coupled to the housing adjacent the guide channel. The layup roller includes a roller surface and the guide channel is configured to discharge a quantity of material to the roller surface. The layup roller is configured to deposit the material onto the surface.