I have been doing research in learnable signal processing since 2013, in particular with learnable
parametrized
wavelets [ref]
which has then been extended for deep wavelet transforms [ref].
The latter has found many applications e.g. in the NASA's Mars rover [ref]
for marsquake detection.
In 2016 when joining Rice University for a PhD with Prof. Richard Baraniuk, I broadened my scope to explore
Deep
Networks from a theoretical persepective by employing affine spline operators [ref1, ref2].
This led me to revisit and improve state-of-the-art methods e.g. batch-normalization [ref] or
generative networks [ref1, ref2].
In 2022 when joining Meta AI Research (FAIR) for a postdoc with Prof. Yann LeCun, I further enlarged my
research interests e.g. to include
self-supervised learning or biases emerging from data-augmentation and regularization leading to many
publications.
Major Publications

- 2022: MaGNET: Uniform Sampling from Deep Generative Network Manifolds Without Retraining
- 2021: The Recurrent Neural Tangent Kernel
- 2019: From Hard to Soft: Understanding Deep Network Nonlinearities via Vector Quantization andStatistical Inference
- 2019: Max-Affine Spline Perspective of Recurrent Neural Networks


- 2022: The Effects of Regularization and Data Augmentation are Class Dependent
- 2022: Contrastive and Non-Contrastive Self-Supervised Learning Recover Global and Local Spectral Embedding Methods
- 2022: A Data-Augmentation Is Worth A Thousand Samples: Analytical Moments And Sampling-Free Training
- 2022: projUNN: efficient method for training deep networks with unitary matrices
- 2020: Analytical Probability Distributions and Expectation-Maximization Learning for Deep Gener-ative Networks
- 2019: The Geometry of Deep Networks: Power Diagram Subdivision


- 2021: Interpretable and Learnable Super-Resolution Time-Frequency Representation
- 2021: Deep Autoencoders: From Understanding to Generalization Guarantees


- ICASSP 2022: DeepHull: Fast Convex Hull Approximation in High Dimensions
- ICASSP 2022: No More Than 6ft. Apart: Robust K-Means Via Radius Upper Bound
- ICASSP 2021: Wearing a MASK: Compressed Representations of Variable-Length Sequences Using RecurrentNeural Tangent Kernels
- TGRS 2021: Recurrent Scattering Network Detects Metastable Behavior in Polyphonic Seismo-VolcanicSignals for Volcano Eruption Forecasting
- Proc. 2020: Mad Max: Affine Spline Insights Into Deep Learning
- SP Letters 2020: Universal Frame Thresholding
- SP OCEANS 2019: Wavelet Learning by Adaptive Hermite Cubic Splines applied to Bioacoustic Chirps
- SP GlobalSIP 2017: Best Basis Selection Using Sparsity Driven Multi-Family Wavelet Transform