4 papers
VoiceDesigner: Text-to-Voice Generation and Editing via Unified Diffusion Modeling and Data Augmentation
Jiarui Hai, Karan Thakkar, Ke Chen +5
Recent breakthroughs in generative models have made text-to-voice generation (TTV) possible, enabling the synthesis of speech directly from textual voice descriptions. However, exi…
Data Assimilation for Chemical Reaction Networks and Population Models via a Tunable Observer
Animikh Biswas, Gargi Chaudhuri, Muruhan Rathinam
We consider the problem of state reconstruction for a nonlinear dynamical system from observations of a linear function of the state. We present a design method for a tunable obser…
A Data-Assimilation-Augmented Optimization Framework for Parameter Estimation in Dynamical Systems
Muhammad Jalil Ahmad, Animikh Biswas, Kathleen Hoffman
Parameter estimation in nonlinear dynamical systems from observational data is a fundamental inverse problem with applications in many disciplines. In practice, this is further com…
Reformulation and Interpretation of the Regularity Criterion for 3D NSE Based on Finitely Many Observations
Abhishek Balakrishna, Animikh Biswas
We revisit and sharpen a recent observable regularity criterion for the three-dimensional Navier-Stokes equations on the periodic cube by requiring only finitely many measurements…