Advancements in Unsupervised Learning: Mode-Assisted Quantum Restricted Boltzmann Machines Leveraging Neuromorphic Computing on the Dynex Platform

The integration of neuromorphic computing into the Dynex platform signifies a transformative step in computational technology, particularly in the realms of machine learning and optimization. This advanced platform leverages the unique attributes of neuromorphic dynamics, utilizing neuromorphic annealing - a technique divergent from conventional computing methods - to adeptly address intricate problems in discrete optimization, sampling, and machine learning. Our research concentrates on enhancing the training process of Restricted Boltzmann Machines (RBMs), a category of generative models traditionally challenged by the intricacy of computing their gradient. Our proposed methodology, termed “quantum mode training”, blends standard gradient updates with an off-gradient direction derived from RBM ground state samples. This approach significantly improves the training efficacy of RBMs, outperforming traditional gradient methods in terms of speed, stability, and minimized converged relative entropy (KL divergence). This study not only highlights the capabilities of the Dynex platform in progressing unsupervised learning techniques but also contributes substantially to the broader comprehension and utilization of neuromorphic computing in complex computational tasks

Three learning stages and accuracy-efficiency tradeoff of restricted Boltzmann machines.

Restricted Boltzmann Machines (RBMs) offer a versatile architecture for unsupervised machine learning that can in principle approximate any target probability distribution with arbitrary accuracy. However, the RBM model is usually not directly accessible due to its computational complexity, and Markov-chain sampling is invoked to analyze the learned probability distribution. For training and eventual applications, it is thus desirable to have a sampler that is both accurate and efficient. We highlight that these two goals generally compete with each other and cannot be achieved simultaneously. More specifically, we identify and quantitatively characterize three regimes of RBM learning: independent learning, where the accuracy improves without losing efficiency; correlation learning, where higher accuracy entails lower efficiency; and degradation, where both accuracy and efficiency no longer improve or even deteriorate. These findings are based on numerical experiments and heuristic arguments

CANCER DETECTION FOR LOW GRADE SQUAMOUS ENTRAEPITHELIAL LESION

The National Cancer Institute estimates in 2012, about 577,190 Americans are expected to die of cancer, more than 1,500 people a day. Cancer is the second most common cause of death in the US, accounting for nearly 1 of every 4 deaths. Cancer diagnosis has a very important role in the early detection and treatment of cancer. Automating the cancer diagnosis process can play a very significant role in reducing the number of falsely identified or unidentified cases. The aim of this thesis is to demonstrate different machine learning approaches for cancer detection. Dr. Tawfik, pathologist from University of Kansas medical Center (KUMC) is an inventor of a novel pathology tissue slicer. The data used in this study comes from this slicer, which successfully allows semi-automated cancer diagnosis and it has the potential to improve patient care. In this study the slides are processed and visual features are computed and the dataset is made from scratch. After features extraction, different machine learning approaches are applied on the dataset which has shown its capability of extracting high-level representations from high-dimensional data. Support Vector Machine and Deep Belief Networks (DBN) are the concentration in this study. In the first section, Support vector machine is applied on the dataset. Next Deep Belief Network which is capable of extracting features in an unsupervised manner is implemented and with back-propagation the network is fine tuned. The results show that DBN can be effective when applied to cytological cancer diagnosis by increasing the accuracy in cancer detection. In the last section a subset of DBN features are selected and then appended with raw features and Support Vector Machine is trained and tested with that. It shows improvement over the first section results. In the end the study infers that Deep Belief Network can be successfully used over other leading classification methods for cancer detection