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Manoj's Columns, Writings and Selected Articles
All PDF and extrnal links on this page open in a pop-up
window.
These articles and other discussions are featured in my blog as well.
Today Columns
I am a regular columnist for the weekend edition of the
Singapore newspaper,
Today, starting early July 2007.
Wilmott Magazine
My columns started appearing in the
Wilmott Magazine starting November 2007.
Other Magazines
Selected Articles
Physics
Here are a few selected articles from my 200-odd publications in peer-reviewed journals.
Neuroscience
I have about ten published articles from my reearch on Brain Computer Interface, which
attempts to understand brain signals (primarily EEG) with a
view to generating commands that can be input to computers.
- "Robust Classification of EEG Signal for Brain-Computer
Interface" (PDF)
Journal Ref:
IEEE Tran. Neural Systems and Rehab.
Engineering Vol. 14 (2006) pp. 24–29
Abstract: We report the implementation of a text
input application (speller) based on the P300 event
related potential. We obtain high accuracies by using an
SVM classifier and a novel feature. These techniques
enable us to maintain fast performance without
sacrificing the accuracy, thus making the speller usable
in an online mode. In order to further improve the
usability, we perform various studies on the data with a
view to minimizing the training time required. We present
data collected from nine healthy subjects, along with the
high accuracies (of the order of 95% or more) measured
online. We show that the training time can be further
reduced by a factor of two from its current value of
about 20 minutes. High accuracy, fast learning and online
performance make this P300 speller a potential
communication tool for severely disabled individuals, who
have lost all other means of communication and are
otherwise cut off from the world, provided their
disability does not interfere with the performance of the
speller.
Philosophy
Once we start thinking about how the brain works, we
cannot escape the philosophical aspects of reality, and what
we mean by our knowledge. The author's views are expressed in
the following articles.
- Perception, Physics and the Role of Light in
Philosophy (
On-line version) (
PDF)
Journal Ref: The Philosopher, the journal
of the Philosophical Society of England. To appear in Spring 2008 [Volume LXXXXVI No. 1]
Abstract:
This article examines the role of light in perception, physics and
philosophy. Based on the similarities between metaphysical and spiritual or
philosophical views on space and time, the article sheds new light on
modern physics -- the special theory of relativity, in particular.
Spirituality
It is a small step from philosophy to spirituality. When
we consider spirituality, the first thing that comes to mind
is probably morality - the Ethics branch of
philosophy. Although interesting and relevant in its own
right, this aspect of spirituality is not treated in these
articles (nor in the book The Unreal Universe). It is
the metaphysical and epistemic sides of spirituality that the
author is most interested in. We can find most of the basic
thoughts in the Metaphysics or the Ontology (as well as the
Epistemology) branches of philosophy in ancient spiritual
writings. The author believes that this East-West connection
is significant and interesting; the philosophical and
spiritual communities have begun to take notice.
- "The Philosophy of Special Relativity:
A Comparison between Indian and Western Interpretations"
(
PDF)
Journal Ref: Omega -
Indian Journal of Science and Religion, Vol. VI, (Dec. 2007), pp 138-150.
Abstract:
The philosophical basis of the special theory of
relativity can be interpreted in terms of the Brahman-Maya
distinction in Advaita. If we think of space and time as
part of Maya, we can partly understand the importance that
the speed of light in our reality, as enshrined in special
relativity. Similarly, in Western phenomenalism, space and
time are considered perceptual and cognitive constructs
created out our sensory inputs. From this perspective, the
special status of light and its speed can be understood
through a phenomenological study of our senses and the
perceptual limitations to our phenomenal notions of space
and time. This remarkable parallel between the
phenomenological and Advaita interpretations of special
relativity points to an exciting possibility of unifying
the Eastern and Western schools of thought to a certain degree.
Coming Soon
The following pieces and articles are either under review or have
been accepted for publication.
- Column in Wilmott Magazine (May 2008):
Stress Management. Handling the inevitable stress in the highflying
corporate world of global markets and quantitative finance. (PDF)
- Column in Wilmott Magazine (Sept 2008):
Quantitative Development. How to design a perfect trading system. (PDF)
-
The Unreal Universe. Submitted to the "Philosophy Now" magazine.
(
PDF)
- "Perceptual Effects in Relativity and Astrophysics"
(PDF)
Journal Ref: Gal. Electrodynamics (To appear in 2008.)
Abstract: Cognitive neuroscience treats space and time as our brain's
representation of our sensory inputs. In this view, our perceptual
reality is only a distant and convenient mapping of the physical
processes causing the sensory inputs. Sound is a mapping of auditory
inputs, and space is a representation of visual inputs. Any
limitation in the chain of sensing has a specific manifestation on
the cognitive representation that is our reality. One physical
limitation of our visual sensing is the finite speed of light, which
manifests itself as a basic property of our space-time. In this
article, we look at the consequences of the limited speed of our
perception, namely the speed of light, and show that they are
remarkably similar to the coordinate transformation in special
relativity. From this observation, and inspired by the notion that
space is merely a cognitive model created out of light inputs, we
examine the implications of treating the special theory of
relativity as a formalism for describing the perceptual effects due
to the finite speed of light. Using this framework, we show that we
can unify and explain a wide array of seemingly unrelated
astrophysical and cosmological phenomena. When we identify the
manifestations of the limitations in our perception and cognitive
representation, we can understand the consequent constraints on our
space and time, leading to a new understanding of astrophysics and
cosmology.
- "Light Travel Time Effects and Cosmological Features"
(PDF)
Journal Ref: [Under review]
Abstract: In a recent this article, we presented
new model for the temporal and spatial variation of the
spectrum of Gamma Ray Bursts (GRB) and radio sources
based on light travel time effects (LTT). Most of the
observed features of GRB and radio jets can be explained
in terms of the LTT effects in a luminal boom, although
luminal booms violate Lorentz invariance and are
therefore considered forbidden. Light travel time effects
hold a possible explanation for certain cosmological
features as well. In this article, we continue the
analysis and show that LTT effects can provide a good
framework to describe such cosmological features as the
observation of an expanding universe, and the cosmic
microwave background radiation. The unification of these
seemingly distinct phenomena at vastly different length
and time scales, along with its conceptual simplicity,
can be regarded as indicators of validity of this
framework.
- "Spacetime as Perceptual Constructs and the Speed of
Light" (
PDF)
Journal Ref: [Under Review]
Abstract: If we think of space and time as
perceptual and cognitive constructs created out our
sensory inputs, we can partly understand the importance
that the speed of light seems in our reality. This
specialness of light is enshrined in the special theory
of relativity. In this article, we argue that the special
status of light and its speed can be understood through a
phenomenological study of our senses and the perceptual
limitations to our phenomenal notions of space and
time.
-
"Advaita and Relativity" (PDF)
Journal Ref: [Under Review]
Abstract: The special theory
of relativity attributes a unique status to the speed of light
in our space and time the. In this article, we argue that the
lofty status of light and its speed can be understood in terms
of the Brahman-Maya distinction in Advaita.
- "Quantization Errors in NDF Implied Rates" (PDF)
Journal Ref: [Under Review]
Abstract: Interest rates implied by
non-deliverable forwards (NDF) suffer from errors due to
the step size of market quotes (the "quantization"
errors). The effect of the quantization is more pronounced
for short maturities than long ones. In this article, we
show that the NDF prices when quoted in terms of swap
points are roughly linear as a function of maturity with
good theoretical justification. Using this extra
information and simple regression fitting techniques, we
demonstrate how the effect of quantization in swap point
quotes can be minimized. Eliminating this source of
spurious uncertainty in NDF implied rates helps stabilize
marked to market values thereby enabling financial
institutions to pay attention to the effects of real
market movements.
Quantitative Finance
A far cry from all these "unreal" musings is the
author's day job in quantitative finance. Here is an article
and a software package created by the author.
-
- Flexible Derivatives Pricing Tool (Help Documentation)
Main Features:
-
Dynamic definition of new products. New products can be defined
completely interactively.
- Dynamic definition of models, pricing functions.
- Ability to generate pricing function templates and
instructions for creating DLLs. (The program writes out ready to
compile C++ code using the product and model definition!)
- Ability to save and load product and model
definitions. (The program uses XML to save products
and models.)
- Ability to save and load pricing scenarios (in XML).
- Built-in plotting options to visualize the
valuations. The program provides options to plot any output
as a function of one or two inputs, or one output vs. another
parametrically as you vary any one input. The 3D plots (output vs.
two inputs) can be plotted as surfaces or color charts. They
can even be sliced and diced. All
plots can be exported to Excel (i.e., as a CSV file) for further
manipulationrs. The plot ranges are customizable.
- Finite difference computation of Greeks. All possible sensitivities
(first and second derivatives) of any output vs. any input can
be interactively computed. The user can select the interval to
shock the ouput etc. All finite difference computation scenarios can
be exported to Excel.
- Supports Excel export of pricing scenarios and plots.
- Supports import from Excel – dates and vectors. The user
can cut and paste from Excel sheet.
- Extensive data types support – double, integer,
date, vector, matrix, date vector, and even
user-definable menus.
- PDF export of plots for printing.
Context Sensitive Help:
Almost all the
buttons and fields in the Derivatives Pricing Tool have tooltips
associated with them. These tooltips are dynamically
generated, and give a quick indication of the actions to
be taken or the values expected. In addition, all the
different GUI modules have a “Help” button,
which will bring up a context sensitive help specific to
the window the user is working with. This help window can
also be accessed using the Window’s standard
shortcut - F1 key.
If you are interested in using Derivatives Pricing Tool,
contact the author.
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