- Mathematical Analysis and Transform Methods
- Holomorphic and Operator Theory
- Matrix Theory and Algorithms
- Spectral Theory in Mathematical Physics
- Advanced Topics in Algebra
- Advanced Banach Space Theory
- Advanced Numerical Analysis Techniques
- Approximation Theory and Sequence Spaces
- Advanced Harmonic Analysis Research
- Advanced Operator Algebra Research
- Seismic Imaging and Inversion Techniques
- Human Pose and Action Recognition
- Video Surveillance and Tracking Methods
- Advanced Optimization Algorithms Research
- Algebraic and Geometric Analysis
- Functional Equations Stability Results
- Numerical methods in inverse problems
- Speech and Audio Processing
- Advanced Algebra and Logic
- Aerospace Engineering and Control Systems
- Advanced Vision and Imaging
- Music and Audio Processing
- Advanced Mathematical Modeling in Engineering
- Iterative Methods for Nonlinear Equations
- Reliability and Agreement in Measurement
National Institute of Technology Karnataka
2014-2024
Menlo School
2020
Meta (United States)
2020
Microsoft (Finland)
2018
Microsoft (United States)
2017
Toshiba (Japan)
2014
University of Leeds
2009-2012
We investigate the task of 2D articulated human pose estimation in unconstrained still images. This is extremely challenging because variation pose, anatomy, clothing, and imaging conditions. Current methods use simple models body part appearance plausible configurations due to limitations available training data constraints on computational expense. show that such severely limit accuracy. Building successful pictorial structure model (PSM) we propose richer both using state-of-the-art...
The task of 2-D articulated human pose estimation in natural images is extremely challenging due to the high level variation appearance. These variations arise from different clothing, anatomy, imaging conditions and large number poses it possible for a body take. Recent work has shown state-of-the-art results by partitioning space using strong nonlinear classifiers such that dependence multi-modal nature part appearance can be captured. We propose extend these methods handle much larger...
In this paper, structural properties of lower semi-frames in separable Hilbert spaces are explored with a focus on transformations under linear operators (may be unbounded). Also, the direct sum semi-frames, providing necessary and sufficient conditions for preservation semi-frame structure, is examined.
Dilation of
We address the problem of articulated 2-D human pose estimation in unconstrained natural images. In previous work Pictorial Structure Model approach has proven particularly successful, and is appealing because its moderate computational cost. However, accuracy resulting estimates been limited by use simple representations limb appearance. propose strong discriminatively trained detectors combining gradient color segmentation cues. Our main contribution a novel method for capturing coherent...
Although significant progress has been made in the development of robots with serpentine properties, issues motion control and adaptation to environmental constraints still require substantial research. This is particularly true for search rescue applications, where reliable operation extremely difficult terrain essential. paper presents a novel robot design based on mechanics neural locomotion Caenorhabditis elegans, tiny nematode worm. Equipped an simple yet powerful neurally-inspired...
This paper proposes a method for estimating the 3D body shape of person with robustness to clothing. We formulate problem as optimization over manifold valid depth maps shapes learned from synthetic training data. The itself is represented using novel data structure, Multi-Resolution Manifold Forest (MRMF), which contains vertical edges between tree nodes well horizontal across trees that correspond overlapping partitions. show this structure allows both efficient localization and navigation...
$K$-frames, more general than the ordinary frames, have been introduced by Laura G{\u{a}}vru{\c{t}}a in Hilbert spaces to study atomic systems with respect a bounded linear operator. Using frame operator, we find class of operators which given Bessel sequence is an system for every member class.
User-perceived quality-of-experience (QoE) in internet telephony systems is commonly evaluated using subjective ratings computed as a Mean Opinion Score (MOS). In such systems, while user MOS can be tracked on an ongoing basis, it does not give insight into which factors of call induced any perceived degradation QoE - tell us what caused to have sub-optimal experience. For effective planning product improvements, we are interested understanding the impact each these degrading factors,...
Active speaker detection (ASD) and virtual cinematography (VC) can significantly improve the experience of a video conference by automatically panning, tilting zooming camera: subjectively users rate an expert cinematographer higher than unedited video. We describe new automated ASD VC that performs within 0.3 MOS based on subjective ratings with 1-5 scale. This system uses 4K wide-FOV camera, depth microphone array, extracts features from each modality trains using AdaBoost machine learning...
Abstract In this article, we derive some necessary and sufficient conditions for the product of hypo-EP operators to be characterize through factorizations.
In recent years, frames in Krein spaces and several generalizations have been extensively studied. this paper, we propose an alternative way of looking at the notion give a necessary sufficient condition for sequence space to be Bessel sequence. We observe that subsequence frame need not frame. Also, two complementary subsequences are considered which one them is space. obtain conditions under other also
In this paper, we prove the relation $\frac{r_{A}(T) + r_{A}(T^{\diamond}) |r_{A}(T^{\diamond}) - r_{A}(T)|}{2} = \sup \{ |\lambda|: \lambda \in \sigma_{A}(T)\}$, where $A$ is a positive semidefinite operator (not necessarily to have closed range) and $r_{A}(T)$ $A$-spectral radius of $T$ in $B_{A^{\frac{1}{2}}}(H)$. Also that $\sup \sigma_{A}(T)\} r_{A}(T), \text{ when } T B_{A^{\frac{1}{2}}}(H) \text { commutes with A$. By introducing $A$-Harte spectrum $\sigma_{A_{h}}(\mathbf{T})$...
This paper delves into several characterizations of $A$-approximate point spectrum A-bounded operators acting on a complex semi-Hilbertian space $H$ and also investigates properties the for tensor product two $A^{\frac{1}{2}}$-adjoint operators. Furthermore, $A$-normal have been established.
In this paper, we discuss the Hyers-Ulam stability of closable (unbounded) operators with several interesting examples. We also present results pertaining to sum and product have necessary sufficient conditions Schur complement quadratic $2 \times 2$ block matrix $\mathcal A$ in order stability.
In this paper, we present some interesting results to characterize the Moore-Penrose inverses of unbounded closable operators and Cartesian product closed in Hilbert spaces.
With the aim of representing subsets Banach spaces as an infinite series using Lipschitz functions, we study a variant metric frames which call p-approximate Schauder (Lipschitz p-ASFs). We characterize p-ASFs and their duals completely canonical basis for classical sequence spaces. Similarity p-ASF is introduced characterized.
In this paper, we characterize complementable operators and provide more precise expressions for the Schur complement of these using a single Douglas solution. We demonstrate existence subspaces where given operator is invariably complementable. Additionally, investigate range-Hermitian property operators.
Abstract In this paper, we discuss the Hyers–Ulam stability of closable (unbounded) operators with some examples. We also present results pertaining to sum and product have necessary sufficient conditions Schur complement quadratic block matrix in order stability.