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Chennai Mathematical Institute

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Selected work

Representative Papers

The Impact of Meteorological Factors on Crop Price Volatility in India: Case studies of Soybean and Brinjal

Mar 06, 2025

This study investigates the causal mechanisms through which meteorological factors drive price volatility of soybean and eggplant in India, focusing on Madhya Pradesh and Odisha. To model conditional price volatility, an Exponential Generalized Autoregressive Conditional Heteroskedasticity (EGARCH) framework is employed; Granger causality tests—extended to capture nonlinear dependencies—are applied to identify statistically significant meteorological drivers. Furthermore, a meteorology-augmented hybrid SARIMAX-LSTM forecasting architecture is developed. The study provides the first systematic, regionally granular evidence in India demonstrating statistically significant causal effects of rainfall and temperature on both perishable and staple crop prices (p < 0.01). The proposed hybrid paradigm integrates econometric rigor with machine learning interpretability, achieving 18–23% lower Mean Absolute Error (MAE) relative to standard benchmarks. These findings deliver actionable quantitative insights for designing climate-resilient agricultural finance instruments, supporting smallholder risk management decisions, and optimizing crop rotation policies.

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Topology inside NC$^1$

Sep 10, 2026

本文探讨了ACC^0和NC^1电路复杂性类,通过研究不同拓扑结构如多对数属、交叉数和厚度,证明了特定条件下这些属性对计算能力的影响。

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Latest Papers

Topology inside NC$^1$

Sep 10, 2026

本文探讨了ACC^0和NC^1电路复杂性类,通过研究不同拓扑结构如多对数属、交叉数和厚度,证明了特定条件下这些属性对计算能力的影响。

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Connectivity Augmentation of Plane Graphs

Aug 11, 2026

This study addresses the problem of minimally augmenting a connected planar graph to become 2-edge-connected while preserving a given planar embedding. The work proposes the first efficient algorithm that achieves an optimal solution in O(|V|(1 + α(|V|))) time and linear space, leveraging planar embedding theory and union-find data structures. By guaranteeing embedding invariance and significantly improving computational efficiency, the algorithm is well-suited for real-world applications such as road networks and power grids, where maintaining topological structure is essential. This contribution fills a critical gap in the algorithmic literature concerning minimum 2-edge-connected augmentation under fixed embeddings.

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