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Sangsidhya Kar

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Review Sep 2026

A Dynamic Central Limit Theorem for Mean-Field Quantum Filtering

We study Open Problem 3 of Kolokoltsov's survey"Quantum filtering and propagation of chaos for open quantum systems"(2026) on $H=\mathbb{C}^d$ ($2\le d<\infty$ fixed): a dynamic central limit theorem for $N$ mean-field coupled quantum particles under continuous diffusive (homodyne) measurement. The tagged conditional s...

Sangsidhya Kar · 0 citations
#machine learning Preprint Sep 2026

Why Adaptive Optimizers Underestimate Rare Tokens

In the softmax output layer, a rare token receives a small positive logit gradient on most steps and a much larger negative gradient on the few steps when it is the target. SGD simply adds these contributions. Coordinate-wise adaptive methods such as Adam, RMSProp, and sign descent instead divide each update by a runni...

Sangsidhya Kar · 0 citations

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