Abstract: Disclosed embodiments include methods, apparatuses, and systems for secured image processing, image recognition, biometric recognition, and face recognition in untrusted environments. The disclosure includes a system for secure image recognition that comprises a secure biometric recognition system configured to work directly with encrypted signals, and the secure biometric recognition system comprises an input quantization system and a homomorphic encryption system configured for noninteractive biometric recognition.

Abstract: Disclosed embodiments include methods, apparatuses, and systems for secured image processing, image recognition, biometric recognition, and face recognition in untrusted environments. The disclosure includes a system for secure image recognition that comprises a secure biometric recognition system configured to work directly with encrypted signals, and the secure biometric recognition system comprises an input quantization system and a homomorphic encryption system configured for noninteractive biometric recognition.

Abstract: Disclosed embodiments include a cryptographic system implemented in at least one digital computer with one or more processors or hardware such as FPGAs for performing secure computations, analysis, and signal processing directly on encrypted data in untrusted environments. According to a basic embodiment, the proposed cryptographic system comprises: (a) at least one secure protocol for performing matrix multiplications in the encrypted domain, and (b) at least one secure protocol for solving systems of linear equations in the encrypted domain. According to a particular embodiment, the system comprises a plurality of privacy-preserving protocols for solving systems of linear equations (SLE) directly based on homomorphic computation and secret sharing. More specifically, according to a particular embodiment, the system uses a protocol whereby systems of linear equations are solved securely by direct Gaussian elimination using a secure protocol without imposing any restrictions on the matrix coefficients.

Abstract: Disclosed embodiments include methods and apparatuses for secure iterative processing of encrypted signals based on implementing a secure iterative processing protocol that avoids cipher blowup, and applying an iterative algorithm directly on the encrypted signals to generate an encrypted processed output signal. In a particular embodiment, the protocol comprises applying homomorphic linear processing, preparing and applying a resealing module to avoid cypher blowup, and homomorphically adapting the encrypted signals. Specific embodiments implement iterative adaptive filtering algorithms in the encrypted domain including non-collaborative secure filtering and two-party filtering based on homomorphic encryption, interactive secure protocols, garbed circuits, or a combination thereof.

Abstract: Disclosed embodiments include a cryptographic system implemented in at least one digital computer with one or more processors or hardware such as FPGAs for performing iterative secure computations, analysis, and signal processing directly on encrypted data in untrusted environments. According to a basic embodiment, the proposed cryptographic system comprises: (a) at least one secure protocol for performing matrix multiplications in the encrypted domain, and (b) at least one secure iterative protocol for solving systems of linear equations in the encrypted domain. According to a particular embodiment the system comprises a plurality of privacy-preserving protocols for solving systems of linear equations (SLE) directly based on homomorphic computation and secret sharing. More specifically, according to a particular embodiment the system uses a protocol whereby systems of linear equations are solved securely and iteratively without imposing any restrictions on the matrix coefficients.

Abstract: Disclosed embodiments include a cryptographic system implemented in at least one digital computer with one or more processors or hardware such as FPGAs for performing iterative secure computations, analysis, and signal processing directly on encrypted data in untrusted environments. According to a basic embodiment, the proposed cryptographic system comprises: (a) at least one secure protocol for performing matrix multiplications in the encrypted domain, and (b) at least one secure iterative protocol for performing matrix inversions and solving systems of equations based on an iterative secure protocol substantially equivalent to a Newton secure protocol. According to a particular embodiment, the system comprises a plurality of privacy-preserving protocols for solving systems of linear equations (SLE) directly based on homomorphic computation and secret sharing.

Abstract: Disclosed embodiments include a cryptographic system implemented in at least one digital computer with one or more processors or hardware such as FPGAs for performing secure computations, analysis, and signal processing directly on encrypted data in untrusted environments. According to a basic embodiment, the proposed cryptographic system comprises: (a) at least one secure protocol for performing matrix multiplications in the encrypted domain, and (b) at least one secure protocol for solving systems of linear equations in the encrypted domain. According to a particular embodiment, the system comprises a plurality of privacy-preserving protocols for solving systems of linear equations (SLE) directly based on homomorphic computation and secret sharing. More specifically, according to a particular embodiment, the system uses a protocol whereby systems of linear equations are solved securely by direct Gaussian elimination using a secure protocol without imposing any restrictions on the matrix coefficients.