11 papers
Uniqueness of the equilibrium state in the dynamics of holomorphic correspondences
Bharath Krishna Seshadri, Shrihari Sridharan
This paper concerns the study of the existence of a unique equilibrium state for a Hölder continuous function under the dynamics of a holomorphic correspondence defined on the Rie…
A multiplicative ergodic theorem in random and simultaneous dynamics
Thirupathi Perumal, Shrihari Sridharan
In this manuscript, we consider finitely many maps defined on a compact probability space; each of which preserves the probability measure. We consider two aspects of growth of dyn…
A classification of restrictive polynomial correspondences
Bharath Krishna Seshadri, Shrihari Sridharan
In this manuscript, we study a special class of correspondences on given by a polynomial relation, say . We focus on what we call re…
A variational principle for holomorphic correspondences
Subith Gopinathan, Shrihari Sridharan
In this paper, we consider a dynamical system on the Riemann sphere that evolves through a set-valued map, namely a holomorphic correspondence. Analogous to the investigation of th…
KV-CAR: KV Cache Compression using Autoencoders and KV Reuse in Large Language Models
Sourjya Roy, Shrihari Sridharan, Surya Selvam +1
As Large Language Models (LLMs) scale in size and context length, the memory requirements of the key value (KV) cache have emerged as a major bottleneck during autoregressive decod…
GradientSpace: Unsupervised Data Clustering for Improved Instruction Tuning
Shrihari Sridharan, Deepak Ravikumar, Anand Raghunathan +1
Instruction tuning is one of the key steps required for adapting large language models (LLMs) to a broad spectrum of downstream applications. However, this procedure is difficult b…