Tanishq Mathew Abraham, Ph.D.

Fair Division of Goods with Independence Structures and Epistemic Envy-Freeness

This paper studies the fair division of indivisible goods under an independence structure, motivated by network connections. It establishes the existence of epistemic EF1 partitions for agents with arbitrary additive valuations, and provides conditions for envy-freeness up to one good when valuations are uniform. The work connects to matroid theory and offers constructive algorithms for fair allocation.

Convex Analysis at Infinity: A Generalized Differentiation Framework

This paper introduces a generalized differentiation theory at infinity specifically for convex sets and functions. It extends fundamental convex analysis concepts—tangent cones, normal cones, and subdifferentials—into the context of infinity, maintaining convexity and linking with recession analysis and epigraphical geometry. The resulting framework offers simpler, more broadly applicable results than general nonsmooth analysis, providing calculus rules and geometric characterizations for optimization problems with unbounded feasible sets.

Precision-Weighted Bias: A Better Metric for Including Adaptive Designs in Meta-Analyses

This paper introduces precision-weighted bias, a new metric for statistical performance that accounts for an estimator's bias and its precision. It argues that the aggregate bias in a meta-analysis is better represented by a precision-weighted average of individual study biases, rather than a simple average. Simulations indicate that adaptive designs, while potentially biased in unweighted terms, often exhibit negligible precision-weighted bias, suggesting their inclusion in meta-analyses may not significantly inflate overall bias and that precision-weighted bias is a more appropriate measure for such decisions.

Quantifying Order Unity Couplings and Their Ratios in Quantum Field Theories

This paper introduces a measure, the 'spread,' to quantify the adherence of quantum field theories to the expectation that dimensionless couplings are order unity. It demonstrates that even with assumptions of independent, identically distributed couplings, the ratios of these couplings can exhibit significant deviations. The analysis reveals that the distribution of such ratios develops fat power-law tails, the extent of which increases with the number of independent couplings, even under conditions of exponentially suppressed tails for individual couplings.

Real-time body pose non-verbal communication with a consistency-based reliability measure

Vendor-agnostic 4D Phase Contrast MRI: a complete open-source pipeline for velocities, displacement, and strain analysis

Volatility Forecasting and Return Prediction under Market Regimes: Evidence from High-Frequency Chinese Equity Data

Parent-Hash DAG: A Cost Analysis of Constant-Time Append for On-Chain Registries

Human-Centred Risk Mitigation for AI-Mediated Information Manipulation: A SOCMINT Framework Based on Information Manipulation Sets

Accelerated Fourier SAT (AFSAT): Fully Realising a GPU-based Symmetric Pseudo-Boolean SAT Solver

A Study of Parallel Continuous Local Search

Accelerating Multi-Objective Bayesian Optimisation via Predictive-Gradient Catalysts

Implementation and Verification of Toroidal Resistive Wall Boundary Conditions in the PIXIE3D MHD code using a Boundary Integral Method

Complex Analysis of Askaryan Radiation: UHECR Reconstruction with Askaryan Radio Array

Value-and-Structure Alignment for Routing-Consistent Quantization of Mixture-of-Experts Models

Structure-Preserving Operator Splitting via JR-Decomposition for Circuit Models

The mesoscopic foundations of non equilibrium thermodynamics and the arrow of time in the Dual Model of Liquids

A hybrid method for countable equilibrium, variational inequality and maximal monotone inclusion problems with fixed point constraints

Exploiting In-Sensor Computing for Energy-Efficient Earth Observation

Event-Based Vision in Space: Applications, Trends, and Future Directions

ChronosAD: Leveraging Time Series Foundation Models for Accurate Anomaly Detection

I-(OT)^2: A Client-optimal Oblivious Transfer Protocol for IoT Devices

Comparing Post-Hoc Explainable AI Methods for Interpreting Black-Box EEG Models in Depression Detection

Network Optimization Aspects of Autonomous Vehicles: Challenges and Future Directions

Design-Oriented Modeling of TSV Substrate Noise Coupling to Ring VCOs

Internal Representation, Not Clinical Knowledge: Where Apparent LLM Triage Failures Originate

Psychological Constructs in Shared Semantic Space

Practical tensor calculus on embedded submanifolds of arbitrary codimension

Mixed thresholds in the Lonely Runner Conjecture

Small-scale operations on graphic sequences

Solution of a Simple Case of the Navier-Stokes Equations via Employing the Lambert W Function

General Expressions for Measurable Parameters in Curved Spacetime

The two-stream instability generation around Moon: Effect of Interplanetary Magnetic Field during Solar Wind - Lunar Plasma Interaction

The Spatial Cram'{e}r--von Mises Test of Independence under $β$-Mixing: Asymptotic Theory and Python Implementation

Fast Multichannel NMF with Block-Diagonal Spatial Covariance Matrices for Efficient Blind Source Separation Using Distributed Microphone Arrays

Kinetic closure of turbulence: collision-side modeling beyond the filtered BGK--Boltzmann equation

Coefficient-of-Determination Fourier Transform

Semantic Feature Segmentation for Interpretable Predictive Maintenance in Complex Systems

A $Z_1^2$ framework for rotational-parameter estimation and uncertainty quantification in high-energy pulsars

Locating nuclear-powered submarines with antineutrinos

A Game Theoretic Free Energy Analysis of Higher Order Synergy in Attention Heads of Large Language Models

Molecular Nitrogen Formation in Nitrogen-Implanted (100) $β-Ga_2O_3$ Revealed by Temperature-Dependent $N$ $K$-edge XANES

Developing a foundation model for high-resolution remote sensing data of the Netherlands

Robust Bayes Acts under Prior Perturbations: Contamination, Stability, and Selection Paths

Incompressible Extended Magnetohydrodynamics Waves: Implications of Electron Inertia