arXiv research

This research optimizes Andrews plots for better visual clarity in high-dimensional data.

Study evaluates interpretability of time series foundation models' latent spaces.

CLARITY compares dissimilar datasets, identifying structural and relationship inconsistencies.

Improved 3D ECG feature attributions for clinical interpretation.

Extensive rewrite. Tables and proofs have been reformatted and/or rewritten for clarity.

The goal of this document is to provide a pedagogical introduction to the main concepts underpinning the training of deep neural networks using gradient descent; a process known as backpropagation. Although we focus on a very influential class of architectures called "convolutional neural networks" (CNNs) the approach …

The causal assumptions, the study design and the data are the elements required for scientific inference in empirical research. The research is adequately communicated only if all of these elements and their relations are described precisely. Causal models with design describe the study design and the missing data mech…

Moment Pooling reduces latent space dimensions in machine learning models.

These lectures were a part of the geometry course held during the Fall 2011 Mathematics Advanced Study Semesters (MASS) Program at Penn State (\url{http://www.math.psu.edu/mass/}). The lectures are meant to be accessible to advanced undergraduate and early graduate students in mathematics. We have placed a great emphas…

We define transit clusters to simplify causal diagrams and preserve their essential properties.

Conference compiles problems on foliations and diffeomorphisms.

Method improves clarity in forecasting spatio-temporal data.

GCAO improves clustering of high-dimensional data by grouping low-density boundary points.

We present a theoretical framework of probabilistic learning derived by Maximum Probability (MP) Theorem shown in the current paper. In this probabilistic framework, a model is defined as an event in the probability space, and a model or the associated event -- either the true underlying model or the parameterized mode…

We consider a natural Riemannian metric on the infinite dimensional manifold of all embeddings from a manifold into a Riemannian manifold, and derive its geodesic equation in the case $\Emb(\Bbb R,\Bbb R)$ which turns out to be Burgers' equation. Then we derive the geodesic equation, the curvature, and the Jacobi equat…

We provide equivalence of numerous no-free-lunch type conditions for financial markets where the asset prices are modeled as exponential Levy processes, under possible convex constraints in the use of investment strategies. The general message is the following: if any kind of free lunch exists in these models it has to…

We propose an efficient algorithm for the generalized sparse coding (SC) inference problem. The proposed framework applies to both the single dictionary setting, where each data point is represented as a sparse combination of the columns of one dictionary matrix, as well as the multiple dictionary setting as given in m…

We investigate several confounding factors in the evaluation of optimization algorithms for deep learning. Primarily, we take a deeper look at how adaptive gradient methods interact with the learning rate schedule, a notoriously difficult-to-tune hyperparameter which has dramatic effects on the convergence and generali…

We conduct a study of the aliased spectral densities of Matérn covariance functions on a regular grid of points, providing clarity on the properties of a popular approximation based on stochastic partial differential equations; while others have shown that it can approximate the covariance function well, we find that i…

regvis.net offers a visual survey of regulatory visualization.

This paper simplifies the Nash Bargaining Solution for use in intellectual property cases.

In this paper, we review or introduce several differential structures on manifolds in the general setting of real and complex differential geometry, and apply this study to Teichmüller theory. We focus on bi-Lagrangian i.e. para-Kähler structures, which consist of a symplectic form and a pair of transverse Lagrangian f…

We study how to leverage off-the-shelf visual and linguistic data to cope with out-of-vocabulary answers in visual question answering task. Existing large-scale visual datasets with annotations such as image class labels, bounding boxes and region descriptions are good sources for learning rich and diverse visual conce…

Proposes a spectral method to assess and combine multiple data visualizations.

To convey neural network architectures in publications, appropriate visualizations are of great importance. While most current deep learning papers contain such visualizations, these are usually handcrafted just before publication, which results in a lack of a common visual grammar, significant time investment, errors,…

AV-CPL uses continuous pseudo-labels for AVSR combining labeled and unlabeled data.

The counting grid is a grid of microtopics, sparse word/feature distributions. The generative model associated with the grid does not use these microtopics individually. Rather, it groups them in overlapping rectangular windows and uses these grouped microtopics as either mixture or admixture components. This paper bui…

Visualizes futures markets using particle physics tools.

New report on machine learning visualization techniques and trends.

The abstract discusses how humans use visualizations in machine learning.

IANN visualizes all input variables effects simultaneously.

Consensus dimension reduction combines multiple visualizations to identify shared patterns.

Visualizes deep generative models for drug design.

Given functional data from a survival process with time-dependent covariates, we derive a smooth convex representation for its nonparametric log-likelihood functional and obtain its functional gradient. From this, we devise a generic gradient boosting procedure for estimating the hazard function nonparametrically. An i…

This paper discusses the role of risk communication in macroprudential oversight and of visualization in risk communication. Beyond the soar in data availability and precision, the transition from firm-centric to system-wide supervision imposes vast data needs. Moreover, except for internal communication as in any orga…

Paper establishes baselines for offline RL from visual observations.

WAPPO optimizes feature distributions for better visual transfer in RL.

We introduce the notion of the visual core of a hyperbolic 3-manifold N and explore its basic properties. The visual core can be thought of as a harmonic analysis analogue of the convex core. We investigate circumstances in which the visual core of a cover N' of N embeds under the covering map from N' to N. We apply th…

A novel method visualizes higher-dimensional spaces using hyperbolic geometry.

Fidel-TS creates a new benchmark for time series forecasting models.

Local surrogate explainers vary in objectives, leading to incomparable explanations.

Ray marching method visualizes flat surfaces efficiently.

We summarize a book under publication with his title written by the three present authors, on the theory of Zipf's law, and more generally of power laws, driven by the mechanism of proportional growth. The preprint is available upon request from the authors. For clarity, consistence of language and conciseness, we disc…

We present GraphTSNE, a novel visualization technique for graph-structured data based on t-SNE. The growing interest in graph-structured data increases the importance of gaining human insight into such datasets by means of visualization. Among the most popular visualization techniques, classical t-SNE is not suitable o…

Adversarial attacks can manipulate ML-aided visualizations, tricking analysts.

DEN creates interpretable visualizations using Siamese networks.

Explains visual metrics on hyperbolic space boundaries.

Developing a visual platform for faster astronomical source cataloging.