Secure data processing

1. A computer-implemented method comprising:

determining, by a data provider system, encrypted first input data and encrypted second input data, wherein at least one of the encrypted first input data and the encrypted second input data correspond to an event;

determining, by the data provider system, an encrypted first random number and an encrypted second random number, wherein determining the encrypted first random number and the encrypted second random number comprises:

determining a first random number and a second random number;

encrypting, using private key data, the first random number, wherein the private key data corresponds to a private encryption key; and

encrypting, using the private key data, the second random number;

determining, by the data provider system, first data representing a result of a first homomorphic operation of the encrypted first input data, the encrypted second input data, the encrypted first random number, and the encrypted second random number, wherein determining the first data comprises:

adding, using a homomorphic addition operation, the encrypted first input data and the encrypted first random number; and

adding, using the homomorphic addition operation, the encrypted second input data and the encrypted second random number;

sending, from the data provider system to a data processing system, the first data;

decrypting, by the data processing system, the first data to determine a first number based at least in part on the encrypted first random number and a second number based at least in part on the encrypted second random number, wherein decrypting the first data corresponds to the private key data;

multiplying, by the data processing system, the first number and the second number to determine second data;

encrypting, by the data processing system, the second data to determine encrypted second data, wherein encrypting the second data corresponds to public key data, the public key data corresponding to a public encryption key;

determining, by the data processing system using a second homomorphic operation, a product of the encrypted first input data and the encrypted second input data based at least in part on the encrypted second data; and

determining a prediction of the event based at least in part on the product.

2. The computer-implemented method of claim 1 , further comprising:

determining third data by adding the encrypted first input data and the encrypted first random number and by negating the encrypted second random number;

determining fourth data by negation of the encrypted first random number and by adding the encrypted second input data and the encrypted second random number; and

determining fifth data corresponding to the encrypted first random number and the encrypted second random number.

3. The computer-implemented method of claim 1 , further comprising:

receiving, by a first secure-processing component of the data processing system, the first data; and

sending, by the first secure-processing component to a second secure-processing component of the data processing system, the encrypted second data.

4. The computer-implemented method of claim 3 , further comprising:

receiving, by the second secure-processing component, the encrypted second data; and

sending, by the second secure-processing component to a third system, an indication of the prediction.

5. The computer-implemented method of claim 1 , wherein the encrypted first input data and encrypted second input data correspond to operands of a dot-product operation.

6. The computer-implemented method of claim 1 , further comprising:

determining that the encrypted first input data corresponds to a first scale;

determining that the encrypted second input data corresponds to a second scale different from the first scale; and

modifying the encrypted first input data to correspond to the second scale.

7. The computer-implemented method of claim 1 , wherein the encrypted first input data and encrypted second input data correspond to elements of a vector.

8. A system comprising:

at least one processor; and

at least one memory including instructions that, when executed by the at least one processor, cause the system to:

determine, by a data provider system, encrypted first input data and encrypted second input data, wherein at least one of the encrypted first input data and the encrypted second input data correspond to an event;

determine, by the data provider system, an encrypted first random number and an encrypted second random number, wherein determining the encrypted first random number and the encrypted second random number, the at least one memory further includes instructions, that, when executed by the at least one processor, further cause the system to:

determine a first random number and a second random number;

encrypt, using private key data, the first random number, wherein the private key data corresponds to a private encryption key; and

encrypt, using the private key data, the second random number;

determine, by the data provider system, first data representing a result of a first homomorphic operation of the encrypted first input data, the encrypted second input data, the encrypted first random number, and the encrypted second random number, wherein the at least one memory further includes instructions, that, when executed by the at least one processor, further cause the system to:

add, using a homomorphic addition operation, the encrypted first input data and the encrypted first random number; and

add, using the homomorphic addition operation, the encrypted second input data and the encrypted second random number;

send, from the data provider system to a data processing system, the first data;

decrypt, by the data processing system, the first data to determine a first number based at least in part on the encrypted first random number and a second number based at least in part on the encrypted second random number, wherein decrypting the first data corresponds to the private key data;

multiply, by the data processing system, the first number and the second number to determine second data;

encrypt, by the data processing system, the second data to determine encrypted second data, wherein encrypting the second data corresponds to public key data, the public key data corresponding to a public encryption key;

determine, by the data processing system using a second homomorphic operation, a product of the encrypted first input data and the encrypted second input data based at least in part on the encrypted second data; and

determine a prediction of the event based at least in part on the product.

9. The system of claim 8 , wherein the at least one memory further includes instructions, that, when executed by the at least one processor, further cause the system to:

determine third data by adding the encrypted first input data and the encrypted first random number and by negating the encrypted second random number;

determine fourth data by negation of the encrypted first random number and by adding the encrypted second input data and the encrypted second random number; and

determine fifth data corresponding to the encrypted first random number and the encrypted second random number.

10. The system of claim 8 , wherein the at least one memory further includes instructions, that, when executed by the at least one processor, further cause the system to:

receive, by a first secure-processing component of the data processing system, the first data; and

send, by the first secure-processing component to a second secure-processing component of the data processing system, the encrypted second data.

11. The system of claim 10 , wherein the at least one memory further includes instructions, that, when executed by the at least one processor, further cause the system to:

receive, by the second secure-processing component, the encrypted second data; and

send, by the second secure-processing component to a third system, an indication of the prediction.

12. The system of claim 8 , wherein the encrypted first input data and encrypted second input data correspond to operands of a dot-product operation.

13. The system of claim 8 , wherein the at least one memory further includes instructions, that, when executed by the at least one processor, further cause the system to:

determine that the encrypted first input data corresponds to a first scale;

determine that the encrypted second input data corresponds to a second scale different from the first scale; and

modify the encrypted first input data to correspond to the second scale.

14. The system of claim 8 , wherein the encrypted first input data and encrypted second input data correspond to elements of a vector.