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 mathematics of those relationships. My work on cross-modal compatibility examines that mathematical foundation.
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 machine learning for phototoxicity prediction and investigated the descriptors used as model inputs. I also helped build and maintain MLTox, the online application that made those methods available to users.
I have also co-authored work on guarded query routing for LLMs. Alongside research, I work on model optimization and AI infrastructure for heterogeneous hardware. A method's usefulness depends on the data it will encounter, the compute it needs, and the conditions under which it will run.
Prediction tasks such as phototoxicity assessment 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. In the example below, lowering it catches more positives and 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
Moving the threshold changes the decisions and their errors, even though the model and its ROC AUC stay the same. Choosing a threshold for an application requires evaluation on relevant data, calibration checks, and an understanding of what each kind of error costs. These distributions are synthetic; they are not results 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.