The Kannan--Lov\'asz--Simonovits (KLS) conjecture asserts that isotropic log-concave probability measures have Poincar\'e constants bounded by a universal constant, independently of dimension. We give a deterministic variational proof with an explicit bound on the Poincar\'e constant $C_P(\mu)\le25$, where $\mu$ is any...
K. Balasubramanian, S. Kasiviswanathan· 0 citations
KV-cache entries are stored before their future queries are known, but each decoding query needs precision in different places. We study this mismatch using separate budgets for retained bits and bits fetched per query. ReadKV stores each key and value in a progressive code whose prefixes support different reconstructi...
Siddharth Bhandari, Lucas Gretta, K. Balasubramanian et al.· 0 citations
Prior Fitted Networks (PFNs) such as TabPFN now rival established statistical procedures across prediction and estimation tasks. A natural explanation is that PFNs have the property of statistical adaptivity, that is, they perform nearly as well as a method tailored to the true data-generating model for a heterogeneous...
Martin Eppert, K. Balasubramanian, Subhro Ghosh et al.· 0 citations
Why does supervised fine-tuning (SFT) lead to more forgetting than reinforcement fine-tuning (RFT), even when all teacher demonstrations are semantically correct? We study this question on classification tasks where tokens within each semantic class express the same semantic answer in different styles. The tasks share...
Hao-Dong Liang, Yan-Hao Jin, K. Balasubramanian et al.· 0 citations
Counterfactual generation seeks to sample outcomes under a hypothetical intervention or decision using observational data collected under the factual assignment mechanism. We develop a flow-matching approach that combines a sample-split, doubly robust training objective with a learned coupling between observed source o...
Yun-Rui Guan, K. Balasubramanian, S. Kasiviswanathan· 0 citations
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