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Fast Algorithm for Constrained Linear Inverse Problems
We consider the constrained Linear Inverse Problem (LIP), where a certain atomic norm (like the $\ell_1 $ norm) is minimized subject to a quadratic co...
High-Rank Irreducible Cartesian Tensor Decomposition and Ba…
Irreducible Cartesian tensors (ICTs) play a crucial role in the design of equivariant graph neural networks, as well as in theoretical chemistry and c...
Best Linear Unbiased Estimate from Privatized Contingency T…
In differential privacy (DP) mechanisms, it can be beneficial to release "redundant" outputs, where some quantities can be estimated in multiple ways...
Interpretable Global Minima of Deep ReLU Neural Networks on…
We explicitly construct zero loss neural network classifiers. We write the weight matrices and bias vectors in terms of cumulative parameters, which d...
Enhanced Feature Learning via Regularisation: Integrating N…
We propose a new method for feature learning and function estimation in supervised learning via regularised empirical risk minimisation. Our approach...
Data-Driven Performance Guarantees for Classical and Learne…
We introduce a data-driven approach to analyze the performance of continuous optimization algorithms using generalization guarantees from statistical...
Contextual Bandits with Stage-wise Constraints
We study contextual bandits in the presence of a stage-wise constraint when the constraint must be satisfied both with high probability and in expecta...
Boosting Causal Additive Models
We present a boosting-based method to learn additive Structural Equation Models (SEMs) from observational data, with a focus on the theoretical aspect...
Frequentist Guarantees of Distributed (Non)-Bayesian Infere…
We establish frequentist properties, i.e., posterior consistency, asymptotic normality, and posterior contraction rates, for the distributed (non-)Bay...
Asymptotic Inference for Multi-Stage Stationary Treatment P…
Dynamic treatment regimes or policies are a sequence of decision functions over multiple stages that are tailored to individual features. One importan...
EMaP: Explainable AI with Manifold-based Perturbations
In the last few years, many explanation methods based on the perturbations of input data have been introduced to shed light on the predictions generat...
Autoencoders in Function Space
Autoencoders have found widespread application in both their original deterministic form and in their variational formulation (VAEs). In scientific ap...
Nonparametric Regression on Random Geometric Graphs Sampled…
We consider the nonparametric regression problem when the covariates are located on an unknown compact submanifold of a Euclidean space. Under definin...
System Neural Diversity: Measuring Behavioral Heterogeneity…
Evolutionary science provides evidence that diversity confers resilience in natural systems. Yet, traditional multi-agent reinforcement learning techn...
Distribution Estimation under the Infinity Norm
We present novel bounds for estimating discrete probability distributions under the $\ell_\infty$ norm. These are nearly optimal in various precise se...
Extending Temperature Scaling with Homogenizing Maps
As machine learning models continue to grow more complex, poor calibration significantly limits the reliability of their predictions. Temperature scal...
Density Estimation Using the Perceptron
We propose a new density estimation algorithm. Given $n$ i.i.d. observations from a distribution belonging to a class of densities on $\mathbb{R}^d$,...
Simplex Constrained Sparse Optimization via Tail Screening
We consider the probabilistic simplex-constrained sparse recovery problem. The commonly used Lasso-type penalty for promoting sparsity is ineffective...