Tootfinder

Latent Variable Autoregression with Exogenous Inputs
Daniil Bargman
https://arxiv.org/abs/2506.04488 https://arxiv.org/pdf/2506.04488…

Latent Variable Autoregression with Exogenous Inputs
This paper introduces a new least squares regression methodology called (C)LARX: a (constrained) latent variable autoregressive model with exogenous inputs. Two additional contributions are made as a side effect: First, a new matrix operator is introduced for matrices and vectors with blocks along one dimension; Second, a new latent variable regression (LVR) framework is proposed for economics and finance. The empirical section examines how well the stock market predicts real economic activity …

A variable dimension sketching strategy for nonlinear least-squares
Stefania Bellavia, Greta Malaspina, Benedetta Morini
https://arxiv.org/abs/2506.03965 h…

A variable dimension sketching strategy for nonlinear least-squares
We present a stochastic inexact Gauss-Newton method for the solution of nonlinear least-squares. To reduce the computational cost with respect to the classical method, at each iteration the proposed algorithm approximately minimizes the local model on a random subspace. The dimension of the subspace varies along the iterations, and two strategies are considered for its update: the first is based solely on the Armijo condition, the latter is based on information from the true Gauss-Newton model.…

This https://arxiv.org/abs/2312.04489 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Surfaces associated with first-order ODEs
A link between first-order ordinary differential equations (ODEs) and 2-dimensional Riemannian manifolds is explored. Given a first-order ODE, an associated Riemannian metric on the variable space is defined, and some properties of the resulting surface are studied, including a connection between Jacobi fields and Lie point symmetries. In particular, it is proven that if the associated surface is flat, then the ODE can be integrated by quadratures. Next, deformations of the associated surface…

This https://arxiv.org/abs/2504.19466 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The partial derivative of ratios of Schur polynomials and applications to symplectic quotients
We show that a ratio of Schur polynomials $s_λ/s_ρ$ associated to partitions $λ$ and $ρ$ such $λ\subsetneqρ$ has a negative partial derivative at any point where all variables are positive. This is accomplished by establishing an injective map between sets of pairs of skew semistandard Young tableaux that preserves the product of the corresponding monomials. We use this result and the description of the first Laurent coefficient of the Hilbert series of the graded algebra of regular funct…

This https://arxiv.org/abs/2503.16691 has been replaced.
link: https://scholar.google.com/scholar?q=a

Spatial-temporal prediction of forest attributes using latent Gaussian models and inventory data
The USDA Forest Inventory and Analysis (FIA) program conducts a national forest inventory for the United States through a network of permanent field plots. FIA produces estimates of area averages and totals for plot-measured forest variables through design-based inference, assuming a fixed population and a probability sample of field plot locations. The fixed-population assumption and characteristics of the FIA sampling scheme make it difficult to estimate change in forest variables over time u…

A Decidable Bundled Fragment of First-Order Modal Logic Without Finite Model Property
Varad Joshi, Anantha Padmanabha
https://arxiv.org/abs/2506.01421 http…

A Decidable Bundled Fragment of First-Order Modal Logic Without Finite Model Property
The satisfiability problem for First-order Modal Logic (\FOML) is undecidable even for simple fragments like having only unary predicates, two variables etc. Recently a new way to identify decidable fragments of \FOML has been introduced called the "bundled fragments", where the quantifiers and modalities are restricted to appear together. Since there are many ways to bundle the quantifiers together, some of them lead to (un)decidable fragments. In (Liu et.al, 2023) the authors prove a `trichot…

Tensor-based multivariate function approximation: methods benchmarking and comparison
Athanasios C. Antoulas, Ion Victor Gosea, Charles Poussot-Vassal, Pierre Vuillemin
https://arxiv.org/abs/2506.04791

Tensor-based multivariate function approximation: methods benchmarking and comparison
In this note, we evaluate the performances, the features and the user-experience of some methods (and their implementations) designed for tensor- (or data-) based multivariate function construction and approximation. To this aim, a collection of multivariate functions extracted from contributive works coming from different communities, is suggested. First, these functions with varying complexity (e.g. number and degree of the variables) and nature (e.g. rational, irrational, differentiable or n…

This https://arxiv.org/abs/2506.00631 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Phase-space distortion as a key to unraveling galactic bar buckling
For the first time, we investigate the resonant structure of $N$-body galactic bar at the stage of buckling using action-angle variables. We studied the evolution of vertical actions ($J_z$) and angles associated with vertical resonance ($θ_\mathrm{res}=θ_z - θ_R$) for all orbits in the bar. For this purpose, we divide the orbits into types according to the behavior (libration or circulation) of their resonant angle with respect to fixed points $θ_\mathrm{res}=0$ and $π$ (vertical resonanc…

This https://arxiv.org/abs/2504.18410 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csHC_…

Can Code Outlove Blood? An LLM-based VR Experience to Prompt Reflection on Parental Verbal Abuse
Parental verbal abuse leaves lasting emotional impacts, yet current therapeutic approaches often lack immersive self-reflection opportunities. To address this, we developed a VR experience powered by LLMs to foster reflection on parental verbal abuse. Participants with relevant experiences engage in a dual-phase VR experience: first assuming the role of a verbally abusive parent, interacting with an LLM portraying a child, then observing the LLM reframing abusive dialogue into warm, supportive …

Orthogonality-Constrained Deep Instrumental Variable Model for Causal Effect Estimation
Shunxin Yao
https://arxiv.org/abs/2506.02790 https://

Orthogonality-Constrained Deep Instrumental Variable Model for Causal Effect Estimation
OC-DeepIV is a neural network model designed for estimating causal effects. It characterizes heterogeneity by adding interaction features and reduces redundancy through orthogonal constraints. The model includes two feature extractors, one for the instrumental variable Z and the other for the covariate X*. The training process is divided into two stages: the first stage uses the mean squared error (MSE) loss function, and the second stage incorporates orthogonal regularization. Experimental res…