Sheaf-Laplacian Obstruction and Projection Hardness for Cross-Modal Compatibility on a Modality-Independent Site
Mathematical work on compatibility across modalities.
My research in multimodal systems and generative models, earlier work in medicine and chemistry, and selected publications.
I am a PhD candidate in artificial intelligence at FIIT, Slovak University of Technology, working on multimodal systems and generative models. I am interested in how models represent and combine different kinds of information, and in the mathematical foundations of those relationships. My work on cross-modal compatibility takes up that mathematical side.
Much of my earlier research focused on biomedical ML. In histology, I worked on transforming stain images with unpaired GANs, including editable transformations and attention-enhanced models. I also contributed to PCD quant, which uses automatic image analysis to assess ciliary ultrastructure.
In chemistry, I worked on predicting phototoxicity with machine learning and investigating descriptors for that prediction. That research also involved building and maintaining MLTox, an online application through which the methods could be used.
My interests extend into LLM systems, including co-authored work on guarded query routing. Alongside research, I work on model optimization and AI infrastructure for heterogeneous hardware. I care about what a method can do and what is needed to make it usable under actual data, compute, and deployment constraints.
Prediction tasks such as phototoxicity assessment also raise a practical question: how should a model’s output become a decision? For a binary classifier, a threshold determines which scores count as positive. Lowering it catches more positives, but also produces more false alarms.
The synthetic example below makes that tradeoff visible. Drag the red threshold τ to the left, then to the right, or focus it and use the arrow keys. Watch recall and the false positive rate change together, and the operating point move along the same ROC curve. recall 0.816fpr 0.184precision 0.655F1 0.727prevalence 30%d′ = 1.8
The model and its ROC AUC stay the same as you move the threshold. The decision rule changes, along with the errors it accepts. Choosing that rule for an application requires evaluation on relevant data, calibration checks, and an understanding of what each kind of error costs. This is the connection between evaluating a predictive model and deciding how to use it; the Gaussian example is illustrative, not a result from a deployed medical system.
Google Scholar has my publication record and citation information.
Mathematical work on compatibility across modalities.
Research on guarded routing of queries for large language models.
Machine learning for predicting phototoxicity, made available through an online application.
Attention-enhanced generative models for transforming histological stains.
Editable transformation of histological images using unpaired generative models.
Cycle-consistent generative modelling for assistive image transformation.
Automatic analysis supporting quantitative assessment of ciliary ultrastructure.
For a research collaboration or help evaluating a model, get in touch.