arXiv subjects

Prasun Panthi

Publications and source records attributed to Prasun Panthi.

4 recordsLinked to original sources

arXiv2026

Robust Player-Conditional Champion Ranking for League of Legends: Style Similarity, Mastery Priors, and Archetype-Constrained Discovery

Champion recommendation in multiplayer online battle arena games is usually framed informally as a problem of metagame strength, personal comfort, or global win rate. We formalize champion recommendation in League of Legends as an interpretable, player-conditional ranking problem under sparse, noisy, and non-stationary behavioral data. The proposed framework combines four information sources: a population-strength proxy, player-style similarity, direct and indirect mastery priors, and archetype-level guardrails. The method uses robust median/MAD normalization, logarithmic transforms for skewed event counts, recency-weighted player style vectors, mastery-weighted champion-pool vectors, weighted cosine similarity, rank-scaled score components, and k-means++ clustering for coarse archetype support. The implemented prototype uses a Python/Pandas modeling layer, Supabase-backed storage, and a web-facing recommendation interface. Unlike black-box supervised win-prediction systems, the proposed method returns decomposed recommendation scores that can be inspected as expected-performance proxy, fit, mastery, and archetype compatibility. A single-player case study on a 100-game history for the player identifier DIVINERAINRACCON is included as an end-to-end sanity check. The manuscript is therefore a methods and systems contribution: it specifies a reproducible, modular, and auditable champion recommender and gives a validation protocol for future large-scale evaluation through temporal train-test splits, next-champion recovery, calibration analysis, and ablation studies.

stat.AP↗

arXiv2026

A Reusable Hierarchical Framework for Joint Inference of Ultralight-Dark-Matter Mass and Core-Halo Scaling

Ultralight-dark-matter rotation-curve analyses often infer the particle mass after fixing a relation between the central soliton and its host halo. The resulting mass constraint is then conditional on a population-level relation that the data may not independently support. We present a reusable hierarchical Bayesian framework that instead infers the ultralight particle mass and the core-halo scaling exponent jointly from a galaxy population. The differentiable forward model combines a Schive-normalized soliton with a smoothly matched, regularized NFW envelope and allows galaxy-level halo and stellar parameters to be inferred together with the global dark-matter parameters. We apply the framework to 106 SPARC galaxies, including 26 systems with bulges, and sample the resulting 346-dimensional posterior with JAX/NumPyro NUTS. The free-scaling run has zero divergences and $\hat{R}\simeq 1.000$ for the global parameters. The posterior moves to the high-mass, weak-scaling boundary, with $\log_{10}(m_\phi/\mathrm{eV})=-19.20^{+0.12}_{-0.11}$ and $\alpha=0.014^{+0.023}_{-0.011}$. In this regime, the solitonic cores lie below the radial scales probed by the rotation curves, while the baryonic terms and outer NFW envelope carry the visible fits. The same boundary behaviour remains after removing UGC06787 and after widening the high-mass stellar-to-halo-mass prior. The selected SPARC sample therefore does not give an interior joint constraint on the particle mass and core-halo scaling relation within the adopted model. The framework makes this unresolved-core limit explicit instead of interpreting the prior boundary as an interior mass constraint. Its modular structure also allows the same analysis to be applied to synthetic recovery tests, expanded or higher-resolution rotation-curve samples, and alternative halo models.

astro-ph.CO↗

arXiv2026

A Threshold Model for Micrometeoroid Atmospheric Entry: Filippov Dynamics, Survival Estimates, and Survivor-Only Inverse Limits

Micrometeoroids enter Earth's atmosphere at hypervelocity speeds and experience rapid coupling between drag, heating, radiation, melting, ablation, and deceleration. This paper develops a reduced threshold model for the thermal survival boundary of spherical micrometeoroids. The model uses free molecular drag, an exponential atmosphere, projected-area heating, full-sphere radiative cooling, and a surplus-heat ablation rule at the melting temperature. The switching surface $T=T_m$ is treated as a Filippov/complementarity surface. Sustained melting occurs when the local heating-to-radiation ratio exceeds unity. Under the additional Allen--Eggers assumptions of constant radius, constant entry angle, negligible gravity during the main heating interval, and constant transport coefficients, this threshold yields the classical approximate survival scaling $r_0^{\rm crit}\sim v_0^{-3}$. An exact radius-loss identity is obtained along the prescribed Allen--Eggers trajectory, and a perturbative stability estimate explains when this expression approximates the full reduced model. The inverse problem is formulated through a transfer matrix from pre-atmospheric entry bins to observed survivor bins. Entry bins with zero survival probability lie in the survivor-only null space and require external information for reconstruction. The framework gives a compact analytical description of threshold entry survival and identifies the information lost when only surviving particles are observed.

physics.ao-ph↗

arXiv2025

Fixed Point Results via a Uniform Class of A_d-Contractions

This paper studies fixed point arguments in dislocated metric spaces, where the self-distance of a point is not required to vanish. Starting from the class $\mathcal{A}$ of control functions introduced by Akram, Zafar, and Siddiqui for $\mathcal{A}$-contractions, we identify a uniformity issue in the contractive condition used in iterative fixed point arguments. The original condition provides a contraction factor only for an individual comparison, whereas a Picard iteration requires a single factor controlling every step of the orbit. To address this issue, we introduce a uniform subclass $\mathcal{A}_d$, in which each control function admits a global contraction constant $k_\alpha<1$. Within the sequential framework of dislocated metric spaces, we establish fixed point theorems for a single self-map, a countable family of self-maps, an integral-type contraction, and a pair of mappings associated with two compatible dislocated metrics. We prove that $\mathcal{A}_d$ is a proper subclass of $\mathcal{A}$ by constructing an explicit control function in $\mathcal{A}\setminus\mathcal{A}_d$ whose associated Picard orbit admits no uniform geometric decay. Additional examples illustrate the applicability of the resulting theory to interval models and to a function-space model with a nonzero fixed point.

math.GN↗