Optical Neural Network Matrix Multiplier Using Unitary Decomposition
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Solution Overview
Problem
Traditional CMOS-based artificial neural networks are limited in computational speed and power efficiency, necessitating the development of more efficient optical neural network architectures.
Innovation Solution
The implementation of optical neural networks using layers of optical unitary matrix multipliers and nonlinear optical devices, allowing for any depth and dimension of matrix multiplication in the optical domain, with 2×2 optical unitary matrices performing singular value decomposition and nonlinear transformations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Speed
If CMOS-based artificial neural networks are used, then the system can be implemented with conventional electronics, but computational speed and power efficiency are limited
Solution Approach 1:
The patent replaces CMOS electronic systems with optical systems for neural network computation. Specifically, it uses optical components such as waveguides, Mach-Zehnder interferometers (MZIs), and microring resonators (MRRs) to perform matrix multiplication operations, substituting the mechanical/electronic signal processing with optical signal processing to achieve higher speeds and better power efficiency
Solution Approach 2:
The patent changes the fundamental operating parameter from electrical signals in CMOS to optical signals. By using light instead of electricity for computation, the system achieves faster computational speeds and reduced power consumption. The optical domain allows for parallel processing and higher bandwidth operations compared to traditional electronic CMOS circuits
2Adaptability or versatility
If traditional optical neural networks use interconnected Mach-Zehnder interferometers, then unitary transformations can be performed, but the device length and complexity increase
Solution Approach 1:
The patent segments large-scale matrix operations into smaller 2×2 unitary matrix building blocks. By decomposing complex matrix transformations into sequences of simpler 2×2 operations, the system can achieve versatile matrix transformation capabilities while keeping each individual optical component compact and manageable in size
Solution Approach 2:
The patent implements a hierarchical structure where multiple 2×2 unitary matrix modules are nested and interconnected to form larger functional units. This nesting approach allows complex matrix operations to be built from simpler modular components, reducing overall circuit length while maintaining transformation versatility
Solution Approach 3:
The patent transitions from implementing matrix transformations directly in the spatial domain to using a decomposed approach in the singular value decomposition (SVD) domain. By representing matrices as products of unitary matrices and diagonal matrices (SVD form), the system achieves the same transformation capability with more compact optical implementations
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This configuration enables fast and efficient matrix multiplication, scalable to larger sizes, reducing the length of photonic integrated circuits and improving power efficiency compared to conventional solutions.
Implementation Method 1
The optical matrix multiplier comprises one or more 2×2 unitary optical matrices optically interconnected to implement a singular value decomposition (SVD) of a matrix
Implementation Method 2
a nonlinear optical device coupled with the optical matrix multiplier in the semiconductor substrate, to receive the optical signal outputs and to provide an optical output that is generated in a nonlinear manner in response to the optical signal outputs of the optical matrix multiplier reaching saturation
Data Source
AI summary
Embodiments of the present disclosure are directed toward techniques and apparatus comprising at least one layer of an ONN that includes an optical matrix multiplier provided in a semiconductor substrate to receive a plurality of optical signal inputs and to linearly transform the plurality of optical signal inputs into a plurality of optical signal outputs. The optical matrix multiplier comprises one or more 2×2 unitary optical matrices optically interconnected to implement a singular value decomposition (SVD) of a matrix, and a nonlinear optical device coupled with the optical matrix multiplier in the semiconductor substrate, to receive the optical signal outputs and to provide an optical output that is generated in a nonlinear manner in response to the optical signal outputs of the optical matrix multiplier reaching saturation or attenuation. Additional embodiments may be described and claimed.