Research programme

Finding structure. Recovering evidence. Protecting meaning.

Dr. Yousaf’s work connects nonlinear dimensionality reduction, secure analytics, and tensor-based recovery through a shared focus on reliable learning from difficult data.

Conceptual research visualization

From noisy neighbours to a readable geometry

A conceptual view of high-dimensional samples settling into a connected low-dimensional manifold while local neighbourhoods remain visible.

Playing
Observed structure Transformed / recoveredIsomap · graph structure
01Geometry · efficiency · denoising

Reliable manifold learning

Six peer-reviewed works · 2020–2024

The question

Classical Isomap can become computationally expensive and sensitive to noise or unstable neighbourhood graphs.

Research contribution

A connected programme of graph construction, shortest-path acceleration, noise removal, and high-dimensional visualization methods.

Methods

Isomap · A* search · NN-Descent · randomized division trees · LTSA · Gaussian-process kernels

02Tensors · missing data · optimization

Spatiotemporal traffic imputation

Transportation Research Part C · 2025

The question

Traffic datasets lose observations across location and time, weakening downstream analysis and forecasting.

Research contribution

Co-developed a compact multimode nonlinear transform tensor nuclear norm and a convergent optimization strategy for recovery.

Methods

Tensor nuclear norm · low-rank optimization · nonlinear transforms · proximal alternating minimization

03Cryptography · federated learning · healthcare

Secure and privacy-aware AI

Two published works · active research direction

The question

Distributed and sensitive data systems need useful learning without weakening privacy, trust, or control of cryptographic keys.

Research contribution

Research spanning signcryption, elliptic-curve systems, federated learning, and privacy-aware analytics for data-intensive settings.

Methods

Federated learning · quantum signcryption · elliptic-curve cryptography · secure analytics

Open the method. Inspect the evidence.

Six full-size visuals from FastIsomapVis show the workflow, pseudocode, runtime, and accuracy evidence. Select any card to open a readable modal with source and licence information.

Follow the methods to their peer-reviewed sources.

View all publications