6 citations · 11 across the 27 of their papers we have counts for
29 papers
On induced systems and ergodicity for holomorphic correspondences
Sathi Trikkadeeri Mana, Shrihari Sridharan
The Poincaré recurrence theorem for a holomorphic correspondence provides a natural framework for studying the first return time and a dynamical system thus induced, in this settin…
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 Riem…
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 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…
Experts are all you need: A Composable Framework for Large Language Model Inference
Shrihari Sridharan, Sourjya Roy, Anand Raghunathan +1
Large Language Models (LLMs) have achieved state-of-the-art accuracies in a variety of natural language processing (NLP) tasks. However, this success comes at the cost of increased…
Extremal Lyapunov exponents in random and simultaneous dynamics
Thirupathi Perumal, Shrihari Sridharan
In this manuscript, we consider finitely many maps, all of which are defined on a compact probability space, with at least one map in the collection having degree strictly bigger t…
Counting functions over periodic orbits of a skew-product map
Subith Gopinathan, Bharath Krishna Seshadri, Shrihari Sridharan
In this manuscript, we investigate some properties of certain counting functions, associated to the ergodic sums computed along the periodic orbits of the skew-product map, related…
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 Ruelle operator for holomorphic correspondences
Shrihari Sridharan, Subith G
In this paper, we extend the ideas of certain notions that one studies in thermodynamic formalism of maps to the context when the dynamics in the phase space evolves by complex hol…
Ev-Edge: Efficient Execution of Event-based Vision Algorithms on Commodity Edge Platforms
Shrihari Sridharan, Surya Selvam, Kaushik Roy +1
Event cameras have emerged as a promising sensing modality for autonomous navigation systems, owing to their high temporal resolution, high dynamic range and negligible motion blur…
X-Former: In-Memory Acceleration of Transformers
Shrihari Sridharan, Jacob R. Stevens, Kaushik Roy +1
Transformers have achieved great success in a wide variety of natural language processing (NLP) tasks due to the attention mechanism, which assigns an importance score for every wo…
Polynomial correspondences expressible as maps of -tuples
Shrihari Sridharan, Subith G., Atma Ram Tiwari
In this paper, we consider polynomial correspondences in of degree in both the variables and obtain necessary and sufficient conditions in o…
Dynamics of Products of Matrices in Max Algebra
S. Jayaraman, Y. K. Prajapaty, S. Sridharan
The aim of this manuscript is to understand the dynamics of matrix products in a max algebra. A consequence of the Perron-Fröbenius theorem on periodic points of a nonnegative matr…
Dynamics of products of nonnegative matrices
Sachindranath Jayaraman, Yogesh Kumar Prajapaty, Shrihari Sridharan
The aim of this manuscript is to understand the dynamics of products of nonnegative matrices. We extend a well known consequence of the Perron-Frobenius theorem on the periodic poi…
Weak Formulation of the Laplacian on the Full Shift Space
Shrihari Sridharan, Sharvari Neetin Tikekar
We consider a Laplacian on the one-sided full shift space over a finite symbol set, which is constructed as a renormalized limit of finite difference operators. We propose a weak d…
Simultaneous Action of Finitely Many Interval Maps: Some Dynamical and Statistical Properties
Aswin Gopakumar, Kirthana Rajasekar, Shrihari Sridharan
In this paper, we consider finitely many interval maps simultaneously acting on the unit interval in the real line ; each with utmost finitely many jump di…
The entropy of holomorphic correspondences: exact computations and rational semigroups
Gautam Bharali, Shrihari Sridharan
We study two notions of topological entropy of correspondences introduced by Friedland and Dinh-Sibony. Upper bounds are known for both. We identify a class of holomorphic correspo…
TxSim:Modeling Training of Deep Neural Networks on Resistive Crossbar Systems
Sourjya Roy, Shrihari Sridharan, Shubham Jain +1
Resistive crossbars have attracted significant interest in the design of Deep Neural Network (DNN) accelerators due to their ability to natively execute massively parallel vector-m…
Dirichlet eigenvalues of the Laplacian on full one-sided shift space
Shrihari Sridharan, Sharvari Neetin Tikekar
The full one sided shift space over finite symbols is approximated by an increasing sequence of finite subsets of the space. The Laplacian on the space is then defined as a renorma…
Lyapunov exponents of polynomials with respect to certain weighted Lyubich's measures
Shrihari Sridharan, Atma Ram Tiwari
In this paper, we consider a monic, centred, hyperbolic polynomial of degree , restricted on its Julia set and compute its Lyapunov exponents with respect to certain weigh…
A Laplacian on the Full Shift Space
Shrihari Sridharan, Sharvari Neetin Tikekar
In this paper, we consider the one-sided shift space on finitely many symbols and extend the theory of what is known as rough analysis. We define difference operators on an increas…
Distribution of typical orbits for a skew-product map generated by random dynamics of finitely many rational maps
Shrihari Sridharan, Sharvari Neetin Tikekar, Atma Ram Tiwari
In this paper, we consider the dynamics of a skew-product map defined on the Cartesian product of the symbolic one-sided shift space on symbols and the complex sphere where we…