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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Like Circles in the Water: Responsibility as a System-Level Function</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Giovanni Sileno</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexander Boer</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>KPMG</institution>
          ,
          <addr-line>Amsterdam</addr-line>
          ,
          <country country="NL">the Netherlands</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>University of Amsterdam</institution>
          ,
          <addr-line>Amsterdam</addr-line>
          ,
          <country country="NL">the Netherlands</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>What eventually determines the semantics of algorithmic decision-making in not the program artefact, nor|if applicable|the data used to create it, but the preparatory (enabling) and consequent (enabled) practices holding in the environment (computational and human) in which such algorithmic procedure is embedded. The notion of responsibility captures a very similar construct: in all human societies actions are evaluated in terms of the consequences they could reasonably cause, and of the reasons that motivate them. But to what extent does this function exist in computational systems? The paper aims to sketch links between several of the approaches and concepts proposed for responsible computing, from AI to networking, identifying gaps and possible directions for operationalization.</p>
      </abstract>
      <kwd-group>
        <kwd>Responsibility</kwd>
        <kwd>Responsible Computing</kwd>
        <kwd>Responsible AI</kwd>
        <kwd>Responsible Networking</kwd>
        <kwd>Contextual Integrity</kwd>
        <kwd>Conditional Contextual Disparity</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        The various emerging research tracks denoted as responsible, ethical, fair, and
trustworthy AI can be overall divided in two main families. On the one hand,
works contributing to the discussion of what (ethical) principles should be
applied, in all phases from conception to deployment, to algorithmic
decisionmaking systems. On the other, works attempting to operationally de ne open
concepts as e.g. \fairness" or \privacy" to be embedded during training or
deployment of AI modules. The distance existing between these two approaches
raises critical concerns on whether they can be bridged at all. This paper argues
for a change of perspective. What eventually determines the semantics of
algorithmic decision-making is not the program artefact in itself, nor the data used to
create it, but consists of preparatory (enabling) and consequent (enabled)
practices holding in the environment in which the algorithmic procedure is embedded.
In parallel work [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], we are exploring methods to investigate how \values" are
generated, distributed, and translated between contextualized social processes
*This research was partly supported by NWO (DL4LD project, no. 628.001.001) and
the RPA Human(e) AI seed grant funded by the UvA.
and automatic/automated decision-making components; inspired by the idea of
encircling introduced in security studies [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], we are studying how to approach
de facto inaccessible or opaque entities by looking at what is occurring in their
background (practices, ambient knowledge, etc.). The present paper, instead, is
meant to take a position in the debate concerning the system-design part of the
problem. Even acknowledging the primacy of (highly contextual and dynamic)
human factors in setting the premises and the consequences of the system's
activity, system designers and developers still need solutions to identify and
reduce frictions deemed (or feared) to occur between computational and societal
dimensions. With this requirement in mind, the paper organizes insights coming
from di erent domains, aiming to be \minimally complete" in highlighting the
functions required to achieve a sound infrastructure for responsible computing.
      </p>
      <p>
        The paper proceeds as follows. Section 1 contrasts a data- ow perspective
against the most common data-centric ones. Section 2 reviews under a
dataow perspective two non-technical frameworks highlighting the role of context:
contextual integrity [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], and contextual demographic disparity [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. Section 3
shortly elaborates on the function and functioning of responsibility as a cognitive
mechanism. Section 4 considers a recent proposal on responsible Internet [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]
revisiting the accountability-responsibility-transparency (ART) principles for AI
[
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] in the domain of networking, and elaborates on how extending it to take into
account what presented in the previous sections.
2
      </p>
    </sec>
    <sec id="sec-2">
      <title>From data to data- ow problems</title>
      <p>
        Most approaches emerging in responsible AI and related elds with respect to
problems of fairness (non-discrimination) focus primarily on selecting or
producing adequate data. Following the overview given in [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], one can for instance:
      </p>
      <sec id="sec-2-1">
        <title>1. purge the input data from sensitive elements at runtime, 2. debias the sample data used during the training process, 3. correct the network parameters used in the inferential model, or 4. add an external module to produce unbiased output at aggregate level.</title>
        <p>
          These interventions can be interpreted in terms of computational re ection, i.e.
the ability of a system to inspect and modify itself in order to improve its
performance (see e.g. [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]), generally further distinguished in: (a) structural re ection,
concerned by non-contingent properties of the system (e.g. data structures,
procedures); (b) behavioural re ection, concerned by the overall activity of the
system, as described e.g. by requests/invocations. Using these de nitions, options
1, 2, 4 become examples of behavioural re ection: they introduce additional
modules invoked to process the input before and/or the output after the core
module, without modifying it structurally; 3 is instead an example of structural
re ection (it concerns the neural network parameters). In all cases the focus is on
data (either input, output or relative to the model): even behavioural re ection
does not use any information beyond which types of data are protected.
        </p>
        <p>
          Alternatively, one can see fairness as a problem of data- ow : i.e. of intervening
or constraining adequately the connections existing between the data processing
components. Some of these connections are deemed to be legitimate, others are
not; when illegitimate, the informational connection needs to be cut, or, at least,
to be intervened upon. This change of perspective facilitates the convergence
of various problems into one of responsible processing of informational streams.
Privacy can be seen a set of limited rights and abilities controlling disclosure-of
(i.e. channels transmitting) self-information. Di erential privacy methods [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ],
introduced to protect against the reconstruction of data of individuals by
intersection of a su cient number of queries, work by adding external noise channels,
destroying part of the information by interference. Furthermore, not all
applications of \discrimination" (in the sense of distinguishing, characterizing) are
negative; they can also bring a positive impact on the data subjects and on
society. Initiatives as those driven by the FAIR principles e.g. in healthcare,
implicitly support the construction of informational connections. To summarize, it
is not only a matter of responsible machine learning, but of responsible
computing (including processing, data-sharing, networking, etc.). At functional level,
a data- ow perspective highlights the pivotal role of the control of
information disclosure, which can be negative (i.e. restricting, limiting disclosure) or
positive (i.e. enabling, granting it).
3
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>The role of context</title>
      <p>
        At face value, technical solutions as those proposed for algorithmic fairness or
di erential privacy tend to focus on internal components or the very rst layer
beyond the system boundaries (input/output data). However, the legitimacy
of a certain query or computation is not a problem of the processing in itself,
but of the context in which such a processing is performed. For instance, the
use of sensitive data such as ethnicity (or proxies of it) is deemed unfair in
tasks that produce e ects of social discrimination (e.g. deciding the premium
for an insurance policy), but not necessarily in other tasks (e.g. deciding the
colour/style of a dress in an e-shop). As a paradoxical situation, would we need
di erential privacy when we are querying our own personal data? More in detail,
interventions for algorithmic fairness are meant primarily for three purposes [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]:
{ anti-classi cation: decisions are taken without considering explicitly
sensitive or protected attributes (ethnicity, gender, etc. or any proxies of those);
{ classi cation parity : performance of prediction as measured e.g. by false
positive and false negative rates are equal across the groups selected by
protected attributes;
{ calibration: outcomes of prediction is independent of protected attributes.
These purposes re ect in distinct de nitions that are incompatible amongst each
other, and, furthermore, they can produce e ects which are still detrimental to
the protected classes [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Then, even at a technical level, it is recognized that
something is missing in the picture.
      </p>
      <p>
        The well-known framework of contextual integrity by Nissenbaum [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] makes
clear that privacy can not be de ned in absolute terms, but depends on several
parameters, including the actors involved (data subject, sender, recipient), the
type of information, the basis for disclosure/transmission, and various contextual
elements. For instance, consent acts as a basis for disclosure of personal data (e.g.
biometrical information) for a speci c purpose (e.g. healthcare research), and any
other use (e.g. marketing) would be a breach of contextual integrity. However,
in some cases (e.g. for medical necessity), the processing of the same personal
data without consent will not count as a breach of contextual integrity, because
there are legal or even moral norms making clear the presence of a situation (e.g.
where survival is at stake) providing a distinct basis for disclosure. In general,
context is not de ned only by purpose, but also by domain knowledge associated
with that purpose in the current situation (e.g. norms and practices, and roles
related to those), and that is used by the subject and other parties to form
their expectations. It is the ecological nature of all these contextual elements
that make di cult if not impossible to captured them monistically within the
informational artefacts which are target of directives about disclosure.
      </p>
      <p>
        Recent work by Wachter et al. [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] analyzes the concept of contextual
demographic (dis)parity (CDD) (based on the measure of conditional
(non-)discrimination proposed by Kamiran et al. in [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]), evaluating it with respect to the
decisions of the European Court of Justice on cases of discrimination. The
authors highlight the complexity of automatizing decisions about discrimination
and suggest therefore to separate (a) the assessment of automated
discrimination (and argue that the best measure for this is CDD) from (b) the actual
judicial interpretation. Their argument can be rephrased in behavioural re
ection terms: the authors are identifying a larger coverage of the network that can
be explored by algorithmic-driven assessment, but still make clear that further
layers exist beyond that, and this fact requires to maintain human experts in
the decision-making loop.
      </p>
      <p>
        Let us have a further look at CDD. Suppose a norm aims to protect certain
groups of people, and suppose a certain decision process produces a positive or
negative outcome, dividing people whose data is under scrutiny in two classes,
advantaged and disadvantaged. The authors propose that a prima facie
assessment of discrimination can be expressed if AR &lt; DR for any R in a given set of
conditions, where AR is the proportion of people with protected attributes in the
advantaged class, DR is the proportion of people with protected attribute in the
disadvantaged class, and R are additional conditions used to divide the
population into sub-classes. But how to decide R? Following Kamiran [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], these
conditions should be explanatory, i.e. they should hypothetically explain the outcome
even in the absence of discrimination against the protected class. For instance, a
reason for di erent salaries between men and women might be di erent working
hours. Indeed, as argued by Pearl [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], the only way out of Simpson's paradox
(opposite conclusions using di erent granularity of observation) is to deal with
causation. However, questions about \what caused what" have also a strong
connection with the idea of responsibility. This suggests that other elements may
be needed to the picture in order to evaluate the \reverberations" of the agents'
actions onto the system.
4
      </p>
    </sec>
    <sec id="sec-4">
      <title>Function and types of responsibility</title>
      <p>Human communities exhibit ascription of responsibility as a spontaneous,
seemingly universal behaviour. On an abstract level, responsibility attribution is
functional to the localization of failures in constructions whose components are
deemed to be autonomous. This construct applies not only to social systems, but
to any type of system (natural, arti cial, etc.), as it is prerequisite to properly
implement remedy/repair function (cf. the single-responsibility design principle:
one module encapsulates one functionality). Yet, we need to distinguish at least
two dimensions of responsibility: causal (physical, technical, operational, ...)
responsibility, from moral (legal, social, ...) responsibility.</p>
      <p>Causal responsibility is meant to identify which ones, amongst the
components involved in a chain of events, actually caused (or prevented) a certain
outcome). It generally builds upon properties as counterfactuality, su ciency or
concurrency. Moral responsibility builds upon causal responsibility (although in
some circumstances it over-determines it), but it also presupposes a preferential
or value structure about possible outcomes in the world: blame or praise would
not make sense for morally irrelevant outcomes.</p>
      <p>
        Empirical studies (e.g. [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], for a unifying computational model see e.g. [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ])
suggest that moral responsibility: (i) may generally hold for actions merely
initiating potential causes of an outcome; (ii) grows with the impact of the outcome
in terms of a preferential/value structure; (iii) is diminished e.g. if the action is
not under the (expected) control of the agent, or the outcome is (justi ably) not
foreseeable from the agent standpoint.
      </p>
      <p>Rather than facing the question of what makes an agent a moral agent,
we can more conservatively identify three requirements for assessing agentive
responsibility:</p>
      <sec id="sec-4-1">
        <title>1. the agent has the ability to control its behaviour; 2. it has the ability to foresee the associated outcomes; 3. it has the ability to assess their impact according to a preferential/value structure.</title>
        <p>None of these three abilities can be absolute. In general, they can be attributed
to any (direct and indirect) participants of an interaction, depending on their
characteristics and role in the processing network. Furthermore, they are all
context dependent|and the de nition of context may not be consistent across
observers. Note that foreseeability and assessment of impact play a central role
in formulating risk.</p>
        <p>If responsibility is concerned primarily by actions (or activities),
accountability is generally seen as concerned by providing reasons and justifying those
actions (or their omission). Additionally, the occurrence of unmet shared
expectations might entail consequences, especially in the presence of a
(semi)formalized system of norms: liability refers to potential duties (e.g. paying
damages) associated to those failures, or to other special contexts.
5</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Operationalizing responsible computation</title>
      <p>
        Several contributions in the eld of ethical AI have presented a number of
principles for the design and deployment of arti cial devices. Consider for instance
the ART principles proposed by Dignum [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]: accountability : motivations for the
decision-making (values, norms, etc.) need to be explicit; responsibility : the chain
of (human) control (designer, manufacturer, operator, etc.) needs to be clear;
transparency : actions need to be explained in terms of algorithms and data, and
it should be possible to inspect them. However, there is no framework bridging
those higher-level principles to the abstraction level of technical solutions as e.g.
algorithmic fairness and di erential privacy. Impediments can be identi ed both
on a societal dimension (explicit power allocations are con ictual in nature) and
from an operational point of view (e.g. policies are expressed at di erent levels of
abstraction, are dynamic, etc.). Additionally, those higher-level proposals tend
to look at technological artefacts as essentially monolithical.
      </p>
      <p>
        Interestingly, a recent paper by Hesselman et al. on the concept of responsible
Internet [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] takes an orthogonal view over this matter, both in terms of
operationalization, and of decentralization. The authors do not focus on the processing
of data for decision-making, but on its transmission across the network (cf. the
data- ow view), a task that needs to be solved on a decentralized architecture
with distributed ownership and control. The paper revisits and slightly modi es
the ART principles [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], in ecting them on the dimensions of data and
infrastructure. For instance, data transparency holds if the system is able to describe how
network operators transport and process a certain data- ow, whereas
infrastructure transparency concerns instead the properties and relationships between
network operators (location, software, servers, etc.). The same distinction applies
to accountability. Instead of responsibility, however, Hesselman et al. prefer to
refer to controllability, to focus more on the ability of users to specify how
network operators should handle their data (generally by means of path control ),
and to the ability of infrastructure maintainers to set constraints over network
operators.3
      </p>
      <p>How this more technical view on responsibility relates with the properties of
responsibility sketched in the previous section? Accountability and transparency
are instrumental to the ascription of responsibility in the moment of failure; they
refer to two distinct standpoints over the investigated component, respectively
at functional /extra-functional levels (accountability), and non-functional or
implementation level (transparency). The choice of the concept of \controllability"
rather than \responsibility" highlights the requirement of setting up the control
structure that enables licit outcomes, and prevents illicit outcomes to occur. As
3 Additionally, they introduce the usability principle: the working of the system needs
to be expressed in a way that enables further analysis (a practical requirement
impacting both transparency and accountability).
we saw in the previous sections, however, (computational) agentive
responsibility is not only a matter of controllability, but also of foreseeability, and of the
ability of the agent of assessing foreseen outcomes in terms of a given
preferential/value structure. Even if the preferential/value structure (of the user,
infrastructure maintainer, etc.) can be considered to be part of the input exploiting
controllability, the picture implicitly misses the contextual domain knowledge
necessary for the agent to make a proper judgement, and that users will seldom
have. To correct this, each agent (e.g. a network operator) should in principle
autonomously assess its own and other agents' conduct, informed by (i) user
policies and norms, (ii) known and potentially relevant scenarios (together with
some information about their relative occurrence), attempting to form a
properly grounded risk assessment.4 In this view, solutions for algorithmic fairness
or di erential privacy would be controlled instrumentally to reduce dynamically
identi ed risks.5 Interestingly, the \distributed responsibility" sketched here is
also hinted to in modern legislation as the GDPR, as for instance in Art. 28,
according to which the data processor is not any more a mere executor, but it has
responsibility that the processing requested by the data-controller is complying
with the rules.</p>
    </sec>
    <sec id="sec-6">
      <title>Conclusion</title>
      <p>
        The paper results from an e ort to organize insights coming from di erent
disciplines and domains related to the topic of responsible computing. The bottom
line of our investigation is that, in contrast to the most common view taken
today in technical approaches, issues like privacy and fairness refer to
contextdependent and plural norms (where norm is used as in normative, and as in
normality, cf. the concept of normware [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]), that cannot be directly translated
to optimization tasks. Not all bias is unfair, it depends on how it is used and
for what. Not all disclosure is illicit; in fact, some might be bene cial to the
data subject and to society. To protect against misuses and improvident
disclosures, and thus to achieve responsible computing, computation needs to be
looked at in distributed terms (including the associated human activities), and
computational agents need to be furnished with some degree of autonomy to be
able to assess independently, on the basis of (plural) directives given by humans
4 Similar considerations apply looking beyond the technological boundaries, cf.
Helberger et al. [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] with the concept of \cooperative responsibility ". In principle,
observability should be spread more widely over e.g. civil society actors and not merely
individuals and regulators.
5 In many aspects the term \risk" has already a prominent role in governance
technology. However, as it has been observed by several authors (e.g. Rouvroy, Dillon,
etc.) the alignment of risk analysis with competitive value extraction contributes to
a very particular policy platform which is not neutral. These critics do not make
risk a necessarily illegitimate category, but point to ways to further elaborate the
importance of context, including speci c contextual features to acknowledge policy
concerns going beyond value extraction.
and (plural) knowledge constructed from system practices, whether a certain
requested processing is indeed justi ed.
      </p>
    </sec>
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